diff --git "a/data/dm_maths/full_data/1667_11255.jsonl" "b/data/dm_maths/full_data/1667_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1667_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the common denominator of 119\/198720 and 23\/360.\nAnswer: 198720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 5) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54465.\nAnswer: 3, 5, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001011010011101 (base 2) to base 14.\nAnswer: -45b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 19*o - o**3 - 25 - 22*o + 1 - 13 to the form j + q*o**3 + h*o + w*o**2 and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220625 divided by 44125.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*d - 102*d + 1395 = 0. Let g = 283 + d. Solve 3*c + 2*i + 20 = 5*c, -c + 25 = -g*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**2 - 14*w**2 - 48 + 6 + 10 + 34.\nAnswer: -34*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14586\/(-1989)*(0 + -1 + (-2)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 78 = 4*l. Find the common denominator of 0 + (12\/l)\/(3\/(-170)) and -56\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*o - 96 = 364, 5*w - 540 = 5*o. What is the common denominator of (-601)\/(-90) + 2\/(-5) and 78\/63*w\/(-24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*b = 2 - 16, 3*b + 9 = 0. Calculate the lowest common multiple of 1 and h\/(9\/(-12) - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8000)\/(-2880)*33*1*(-39)\/65.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*z**3 + 2*g**2*z**2 - 5*g**2*z - 2*g**2 - 231*g*z - 1745*z**3 - z wrt z.\nAnswer: 6*g**2*z + 4*g**2 - 10470*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16 - (2 - (4 + -2)). Let p = 19 - w. Suppose 0 = -2*d - 5*g + 48 + p, 0 = d + 5*g - 49. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Let y(f) = f**2 + 10*f + 11. Let q be y(-9). Let p(a) = 2 - 33*a + 35*a + q. What is 6*h(j) - 2*p(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - z = q + 22, -q + 2*z + 1617 - 1600 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/2)\/((-79)\/(-316)) + 0. Sort o, -23, -14 in decreasing order.\nAnswer: o, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2808 and 129161304.\nAnswer: 1679096952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let p be 1 - y\/(2\/1). Solve 0 = 2*k - 2*g + 8, -5*k + p*g - 5 = -0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-6)\/30 - -1. Suppose 3*s = -u*x + 173, 0 - 35 = -s + 5*x. Calculate the highest common divisor of s and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -126. Let p = 80.6 - m. Which is the closest to p? (a) 2\/5 (b) 3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.5 - -5.6. Let r = u - -8. What is the third biggest value in 0, 5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019183 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5021*d**3 - 969*d**3 - 4051*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16 = 2*w - 6, -3*m + 19 = 4*w. Solve -4*h + 36 = m*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222 + -197 + -95 + -5 - -27.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ad8a + -8?\nAnswer: 3ad82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 77+5915\nAnswer: 5992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -191569316.36.\nAnswer: -191569316.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8938.801m?\nAnswer: 8.938801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/40846120 and 109\/240?\nAnswer: 245076720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/3 - 2*w**3\/3 + 7*w**2\/2 + w. Is y(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7364 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -4) + 3 + 28. Suppose 3*f - 5*h = 22, -f - s = 3*f + 5*h. Put f, 0, -5 in ascending order.\nAnswer: -5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:58 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2 + 2*a**2 + 19*a**4 - 16*a + a**2 - 23*a**4 wrt a?\nAnswer: -48*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 5) + -3*67\/(-69). Let c = 13\/115 - h. What is the second smallest value in c, 1\/4, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-16)*(g**3)**(9\/2) assuming g is positive.\nAnswer: g**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*i, 4*o = -5*i - 1 - 12. Let n(r) = -r**3 + 5*r**2 - 2*r. Let h be n(o). Differentiate 10 - 73*c**2 + 73*c**2 - h*c**3 + 3 - 2*c wrt c.\nAnswer: -36*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1156 and 2822.\nAnswer: 95948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -2048, -4611, -8200, -12815, -18456, -25123?\nAnswer: -32816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) + (0 - 65\/3). Let z be d\/(-5) + 4\/40*-2. Solve -z*i - 7 - 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1047 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 27*p - 4*p**3 - 12*p + (-1 - 4 + 4)*(4*p**3 + 3*p**3 - 2*p**3).\nAnswer: -11*p**3 + 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/25))\/(b**(-5\/2)\/b)*(b**(-6))**(-3) assuming b is positive.\nAnswer: b**(1127\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 3*k - 2. Let w be r(-2). Let o = 0 + 2. Let x = 4296 - 4304. Which is the second biggest value? (a) w (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + u**2 + 4*u)*(-u + 0*u - u)*(1 - 16*u + 18*u - 2) to the form l*u**4 + w*u**2 + d*u**3 + c + g*u and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let l(j) = 2*j + 1. Let c(r) = -l(r) - 5*u(r). What is c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8419363 is divided by 98.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/382 and -16\/4775?\nAnswer: 9550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 781194 and 48.\nAnswer: 6249552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33*7\/9*3. Let b = p - 52. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l - 1020 + 300. Let z = 96 + l. Let j(p) = p**2 + p. Let b(h) = -9*h**2 - 8*h. Give z*j(c) + 3*b(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-2)\/220*(-5)\/((-11)\/(-11))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:49 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/54)\/(-2))\/(23\/(-138)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2367 divided by -5.\nAnswer: -2367\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63264?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228*d**5 - 2*d**3 - 786*d**2?\nAnswer: -13680*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 17. Let p be m(10). Suppose 20 = 4*l + p*q, l = 4*q + 30 - 6. Calculate the smallest common multiple of l and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 12) to base 8\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(((-4)\/2)\/(-6)). Suppose z = -k*z + 12. Suppose z*u + 3*d - 15 = 0, 0 = -2*u + d + 3*d + 16. Solve 2*x - 4*x + u = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 33360?\nAnswer: -10008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -2*j**6\/15 - 4*j**3\/3 - 2*j. What is the second derivative of z(h) wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*j**5\/5 + 24132*j**4\/5 - 202341*j**3 - 4354038*j**2\/5 - 3583197*j\/5 - 166212 = 0. What is j?\nAnswer: -2052, -3, -1\/2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16504510 is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j = b - 33*j - 134, -2*b - 3*j = -247. Solve 20*u + b = 39 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72754446 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 + 5*j**4 - 4*j**3 + (0*j**4 - 5*j**4 + 0*j**4)*(2 + 3 - 1) + (j + j - j)*(11*j - 3*j**3 - 11*j).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(40)\/sqrt(4)))\/(sqrt(72)\/(sqrt(81) + sqrt(9))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -39 - -42 - (0 + -15)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12730 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(704)*2 + sqrt(704) + sqrt(704))**2 - ((sqrt(176))**2 + sqrt(11) + -4 + -2)).\nAnswer: -sqrt(11) + 11093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8959 is divided by 8752?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -29.9999977. What is t rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2634*i**2\/5 + 7389*i - 966\/5 = 0. What is i?\nAnswer: 23\/878, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**7\/1260 + z**6\/360 - z**5\/40 - z**4\/12 + 5*z**3\/6 - 67*z. Let m(g) be the third derivative of x(g). What is m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2084945 is divided by 331.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1, 20, 0.1 in increasing order.\nAnswer: -1\/4, 0.1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3436 (base 10) to base 3.\nAnswer: 11201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6501696*x**6 - 2*x**5 + 42217547*x**2.\nAnswer: 780203520*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525*v - 537*v = -432. Solve -2*n = -2*a + 14, -3*n = -4*a + v - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27*0.6\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(100\/32))\/(4*4\/520).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*k - 2*l, -4*k + 6 = 3*l + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77212467 by -2.\nAnswer: 77212467\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r**3 - 1)*(r**2 - 4*r**2 + 5*r**2) + 3*r**5 + r**2 + 2*r**5 - 2*r**5.\nAnswer: 7*r**5 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 2 - (12\/3 - -1). Let v(b) = -7*b**2 + b + 1. Calculate v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 2*h**4 + 0*h**3)*(0 - 2*h + 0) + 0*h - h**5 + 0*h - 3*h**2 - h**5 + 3*h**2 + (2*h + 3*h - 6*h)*(-2 + 14*h**4 + 2).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0 - 5\/42*s**7 - 5\/336*s**8 - 1\/8*s**6 + 3\/4*s**5 + 0*s**4 + 0*s**3 + 0*s - 5*s**2. Determine t so that o(t) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020 divided by 404\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1005, 18, 1\/190?\nAnswer: 1005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24730 (base 10) in base 11?\nAnswer: 17642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33879 - -33878.8. Let s = 7.9 + -8. Which is the nearest to s? (a) 6 (b) f (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h\/(h*h**21*h*h)))*h)\/(h\/(h*h**(2\/11)))*(h*(h\/((h\/(h*h*h*h**5*h*h))\/h))\/h)\/(h*h*h**(5\/3)))**28 assuming h is positive.\nAnswer: h**(-14308\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4963*b**2. Let q(m) = -m**2. Give q(s(k)).\nAnswer: -24631369*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b9 (base 14) to base 4\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755 is divided by 574?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 8180\/3 and 2727 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-15) - (-2)\/10. Is a at most as big as -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21969, -21966, -21947, -21906, -21837, -21734, -21591?\n\"Answer: d**3 + 2*d**2 - 10*d - 21962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**4\/5 - 6*f**3\/5 - 16*f**2\/5 - 6*f\/5 = 0?\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 15*d**5 - 74540*d**4 - 4193740*d**3 - 10727590*d**2 - 3945155*d + 2663250 = 0.\nAnswer: -53, -2, -1, 1\/3, 5025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(9\/(-15))*166\/5. Let o = q - 123. What is the remainder when 84 is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 5*b**2 - 2*b - 10. Let w(d) = -d**3 - d - 1. Let j(i) = -u(i) + 4*w(i). Calculate the smallest common multiple of 12 and j(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-40.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1372\/(-3) - (-2)\/(-3). Let f be (-4)\/(((-4)\/42)\/(2664\/(-168))). Let u = x - f. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-455)*-1*52\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 1 - 5. Let m(k) = -1 + 2 + r - 14*k - 17*k. Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s*z**3 - 648*s*z**2 + 318*s*z + s + 204*z**3 - 20*z**2 + 162420*z wrt z.\nAnswer: 48*s*z - 1296*s + 1224*z - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:59 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81.9 + -90. Let j = 8 + u. Let n = 0.3 - -3.7. Which is the second smallest value? (a) n (b) 2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 150. Let b be t\/((-9)\/3)*(-16)\/8. Solve y = -b - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let t(a) = -a**2 - 2*a - 1. Let o be t(g). Suppose o*k - 3300 = -3*k. What is k rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**8\/672 + h**7\/420 - h**6\/20 - 2*h**5\/15 + 2*h**4\/3 + 4*h**3 + 28*h**2. Factor c(j).\nAnswer: (j - 3)*(j - 2)*(j + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19 - (10 + -5 + 9). Solve -3*x - 2 = -y, -13 = 5*y - z*x - 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1796041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -139020 rounded to the nearest 1000?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a day in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 42 = 17. Solve w*t = 2*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let c(w) be the second derivative of 0*w**3 + 1\/2*w**2 - 18*w + 0 + 3\/5*w**5 - 1\/12*w**4. Give c(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.54 + -0.46. Which is the closest to w? (a) 3 (b) -0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 86 + 30. Suppose -4*l + 4*t + 82 - 6 = 0, -3*l - 4*t = -c. Solve -2*p - l = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4625 and 99391147.\nAnswer: 99395772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/8384 and -55\/24104?\nAnswer: 192832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mammmtaaaammamatma. What is prob of picking 2 m?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(63)*1)*-4)**2 + (1*(sqrt(630)*-3 - sqrt(630)))\/sqrt(10).\nAnswer: 372*sqrt(7) + 1264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33133, -32767, -32401, -32035?\n\"Answer: 366*c - 33499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -17?\nAnswer: 25\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00555716205 rounded to seven dps?\nAnswer: -0.0055572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*q - 7*q. Let d(y) = q*y**2 - y**2 - 3*y**2 + y**2. Let n(v) = 0 + 2*v + 0. What is d(n(c))?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/18666238 and 41\/1098014.\nAnswer: 18666238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594, 1203, 1828, 2475, 3150, 3859, 4608, 5403?\nAnswer: 6250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3323 + 11513. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 1650964088957.\nAnswer: 1650964088962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*b - 66*b + 1140. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43.8*-5804\nAnswer: 254215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 20*d + 14. Calculate k(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 4 - 4 + 7*v - 2*v - v + (3*v - v - v)*(-1 + 3 - 3) - 7*v - 3*v + 3*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + 526. What are the prime factors of l?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-15)\/30). Suppose d = -3*v - 107. What are the prime factors of (v + 5)*(0 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83928 and 162.\nAnswer: 2266056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1 + h**2 + 3 + 27*h - 32*h. Let l(a) = -a**3 - 5*a**2 - 4*a + 3. Let f be l(-4). What is d(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + 0 + (-11 - 47 - -26) + -53\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 504 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4393*v**3 + 12 - 8805*v**3 + 30 + 8 + 4414*v**3.\nAnswer: 2*v**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/25)\/(113\/113)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (-3 + 1 + -29). Calculate the smallest common multiple of 32 and (-4)\/((-24)\/s) - (-6)\/(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(8 + 30\/(-6)). Is 10078*u*(-7)\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, 5, 4, 2, -11, -28 in increasing order.\nAnswer: -28, -11, -5, 2, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/20 and -37\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 15, -16543 in increasing order.\nAnswer: -16543, -6, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5118 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**3 + 14*m**2 + 10*m**2 + 8*m**3 - 3 + 4*m**2 + 39*m - 38*m**2. What is f(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 - 9*g**2 + 2*g**2 - 16*g**2 - 5*g**2 + 33*g**2.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let n(m) = 20*m + 3. Let j(z) = -2*i(z) - n(z). Let p(h) = h**2 + 6*h - 1. Let f be p(-5). Is j(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1077, -3022, -4631, -5736, -6169, -5762?\n\"Answer: 28*o**3 - 2141*o + 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46192787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -7. Suppose -4*f + 30 = 5*r, 3*r - f - b = -0*f. Suppose -111 = -3*m + 5*o, -5*m - r*o + 219 = o. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702366978 - 702366978 + 17*k**2.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -367*g**5\/20 - 13*g**2 + g + 92. Let f(m) = 5*m. Give i(f(q)).\nAnswer: -27525*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-88))\/((112\/44)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -964 + 9*q**3 + 964.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q + 0*q + 6*q + 0*q + 4*q**3 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 2*n - 47 = 0, -6*z - 12*z = 10*z + 5*n - 145 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99986153.\nAnswer: 99986153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 20 = -u. Let l be 3\/u - 75\/(-20). Solve l*h + 2*h + 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20976 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 437.921 weeks?\nAnswer: 73570.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -12. Let t be (-322)\/y - (-4)\/(-6). Suppose -87 = -4*g + t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*k**3*x - 2*a**3*k**2*x + 2*a**3*k - 340*a*k**3*x + 14*a*k**2*x - 6*a*k**2 wrt k?\nAnswer: 18*a**3*x - 2040*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -1 (b) -2\/5 (c) 3 (d) 4 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 3*r + 12. Let p(g) = 12 + r*g**2 - g - 5*g**2 + 22. Let k be p(0). What is the greatest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.3 + 42.3. Let f = l + -32. What is the second biggest value in 2\/7, f, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/((-10)\/((-3160)\/12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 32311?\nAnswer: -32310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.93 - 15.07. Which is the biggest value? (a) g (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2826186 and 2826186 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (3 - 5)*2. Suppose -5*c - l*r + 4 = 0, c - 7 = -c + r. What is the first derivative of -2*b - 2*b + 4*b + 3*b**c - 3 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(-6*(sqrt(325) + -2) + sqrt(325)))**2*5.\nAnswer: -81000*sqrt(13) + 1116315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 - 68. Let k be 18\/(-72) + 33\/4. Let r be 2\/k + -4*204\/(-64). What is the highest common divisor of r and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149917*x**4 - 1435 + 2*x - x**3 + 2*x**2 + x**3 + 149937*x**4 with respect to x.\nAnswer: 80*x**3 + 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422073200 rounded to the nearest 1000000?\nAnswer: -422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:17 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137473 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18160994.3 rounded to the nearest 10000?\nAnswer: -18160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-39)\/(-12) - 3). Is (2606 - (4 - 0)) + (a - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17*g**2 + 103*g - 15. Give a(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*f + 902, 5*k = k + 5*f + 906. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 4*k + 35, 4*k = 3*n - k + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 30*d + 492 - 980 + 527. What are the prime factors of k(11)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11749959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, o: 7}. What is prob of picking 4 o?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33906913 is divided by 62?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644817 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 99*b + 2014. What is x(-29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*x**5 + 233*x**2 wrt x?\nAnswer: -6180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p + 20 = 0. Let z be 32\/24*6\/p. Let s(i) = 2*i**2 - i + 1. What is the units digit of s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 69*z = -1089, -64*c + 8*z = -33*c - 34*c + 119 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 12. Let a(x) = x**3 + 2*x**2 + f*x**2 - 3 + 2*x**3 - 4*x**3. List the prime factors of a(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 93361428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2376 and 409752?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3710 = -0*s. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 55*z - 336 - 60. Solve 79*s = 82*s - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.3, 5\/7, 1\/2, 15024?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 7 = -8*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 476 - 476.216. Let v = -0.084 + r. What is the nearest to -1 in -1, 0.5, v, 0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 7*c**2 - 2*c - 9. Let j(m) = -m**3 - 6*m**2 + 2*m + 8. Suppose 0 = 2*h - 0*h - 28. Let y be ((-12)\/h)\/((-4)\/(-28)). Determine y*z(a) - 7*j(a).\nAnswer: a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 17*z**3 - 8*z**2 - 4*z - 4. Let a(p) = 16*p**3 - 8*p**2 - 3*p - 3. Let c(r) = 4*a(r) - 3*o(r). Find the third derivative of c(l) wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5968 and 1448?\nAnswer: 1080208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 1. Let j be o(-1). Calculate the least common multiple of j*18\/(-4) - 1 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -218.\nAnswer: -218, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q + 210 = -91*q + 918 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.825 rounded to zero dps?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3203*n**5 + 203 - 203 - 4710*n**5 + (4*n**3 - 2*n**4 - 4*n**3)*(2*n + n - 4*n).\nAnswer: -1505*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54898, -54769, -54560, -54271, -53902, -53453?\nAnswer: -52924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 21*k - 70. Let g be t(-4). Let w be g\/((-5)\/(870\/12)). Calculate the highest common factor of 493 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/(2619\/(-243) + 11\/1). What is the second smallest value in -114, 9, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k - 64. Let a be u(16). Suppose -12 = -2*z - 5*v, 2 - 20 = -3*z + 3*v. Suppose -5*o + z = -4. Solve a = q - o + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(-4\/11)\/t)))\/t**5)**(-48)\/((t*t**(1\/4)\/t*(t*t**0)\/t)\/(t*t**1)**12) assuming t is positive.\nAnswer: t**(14485\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/355? (a) -5 (b) -20 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -494853 + -582?\nAnswer: -495435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**4 + n**2 - 2*n - 5. Let w(a) = -5*a**4 - 54*a**3 + 229*a**2 - 346*a + 211. Let k(p) = 14*l(p) + 2*w(p). Determine x, given that k(x) = 0.\nAnswer: 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1385, -1479, -1573, -1667, -1761?\n\"Answer: -94*t - 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117.\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/(-10) + -3)*(-3)\/18. Let j be 1 + -1 + 4\/(-4). Which is the closest to v? (a) j (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -92. Solve -a - o - w = -2*a, 5 = -a - 2*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/4 + 23709 + (3 - 2). Suppose -43*t + k - 5900 = 0. Is t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 57. Let t(x) = -12 - 5*x + 3*x + 4. What is the remainder when t(r) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 6 + 1764\/(-99).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-45))\/(2\/(-10)). Let r(v) = v**2 - v. Let w(o) = 41*o**2 - 4*o - 1. Let c(t) = p*w(t) - 5*r(t). What is the units digit of c(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30821 + -3914269\/127. Sort 1\/4, b, 0.4, 1, -2.\nAnswer: -2, b, 1\/4, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 1, 7, 1\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aauufaauaunaaaaaa. What is prob of picking 1 u, 1 a, and 1 f?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -275 or -273?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 14*y**2 + 12*y + 1. Let a be f(7). Differentiate 37*q - 74*q - a*q - 25 - 186 with respect to q.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**2*x**5 + 3*l**2*x**2 + 3*l**2 + 29*x**5 wrt x.\nAnswer: -240*l**2*x**2 + 1740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -28. Let r = -9 - -8.2. Let p = r + -2.2. What is the nearest to 0.1 in t, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 8*j + 3. Determine w(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26347, -52703, -79057, -105415, -131783, -158167?\n\"Answer: -c**3 + 7*c**2 - 26370*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1860 in -3, -1, 15.705, 1\/6, -2, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(13)*-2 + -2*sqrt(325) + 2)**2.\nAnswer: 56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*y + 9195 = -2533, 0 = x + 4*y - 5864. Let m(b) = -3*b**3 + 2*b**2 + 48*b - 32. Let s be m(11). Let r = s + x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.84 + 2.34. Let g = -8 - -10.5. Let k = g + d. Which is the closest to k? (a) -3 (b) -0.5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8565443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 12) + -1 + 7 + 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894*j - 499 = -343*j + 256797. Let r be ((-2)\/4)\/((-3)\/78). Calculate the highest common factor of r and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.693 (b) -0.3 (c) -1\/9 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1299.96027 to 0 decimal places.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -255, -304, -395, -534, -727, -980?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16730345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25802 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 1, -8, 8\/257?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - (0 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*p - 6*s + 305, -2*s - 178 = -3*p. Let f = 48501 + -48465. What is the highest common divisor of p and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 10 + 30 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8159227*y**2 + 963273*y?\nAnswer: -16318454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37894 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 14*d**2 + 10*d - 66. Suppose 5*z - y = -58 - 19, 0 = 3*z - 3*y + 51. Let s be h(z). Solve -s = r + 5*x + 3, 4*x + 12 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -3 - (-3 + -39). Let x = -14963423\/31 - -482736. Let j = d - x. Which is the smallest value? (a) 0 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 189 = 21*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7*l = 18. Let f = l + -12. Sort 4, -4, f in ascending order.\nAnswer: -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47317 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 2800325?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7884.985 - -7905. What is k rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21483\/46 - 467. Which is the nearest to 0? (a) 3 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, -0.01, 2, -0.3, 454, -17.9, 3?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182.72 - -189.7245. Let t = -6.9 - 0.1. Let j = r + t. Round j to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgm when three letters picked without replacement from {n: 1, m: 2, j: 1, g: 2, q: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 817581789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -207, -413, -765, -1311?\n\"Answer: -8*q**3 - q**2 - 49*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/4*(-26)\/325. Which is the nearest to 0.08? (a) 0.3 (b) -1\/2 (c) k (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**0)\/(k\/(k\/(k\/(k*k**(-4))))))\/(k*(k\/(k**2*k)*k)\/k*(k*((k*k**(-1\/7))\/k)\/k)\/k)*((k*k**(1\/11)*k)\/k**7)**(2\/151) assuming k is positive.\nAnswer: k**(905\/11627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5124\/11443?\nAnswer: 5124\/11443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(9\/4))\/y)\/y**(4\/13)*y\/(y\/((y*y**(-4)*y*y)\/y)*y)*y*y*y**10)**6 assuming y is positive.\nAnswer: y**(1005\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(-4)\/2 + 4. Let u = x - -13. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y**2 + 1635*y**2 - 61*y**2 - 1404*y**2 - 42*y**2 - 55*y**2.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1757902, 1757901, 1757900, 1757899, 1757898?\n\"Answer: -x + 1757903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850575891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14755318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474785412.\nAnswer: 2, 3, 23, 41, 41957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0.03 in decreasing order.\nAnswer: 5, 0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/176 and -19\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) 9 (c) 2 (d) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*j**3 - 38321341770 + 38321341770.\nAnswer: 94*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1904, 3572, 5240?\nAnswer: 6908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.003 - 0.097. What is the biggest value in 3, w, 0, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 282\/136 + 513\/(-228).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -210, -237, -264, -291?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzezgezzgeszgvgsgzg. What is prob of sequence zzss?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.6 + 8. Let j = 1.4 - l. Which is the third smallest value? (a) j (b) 2\/13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**1)\/m)**(-26\/5))**(3\/5)\/((m*(m*m\/m**0)\/m*m*m)**(3\/32)\/(m**1)**(2\/13)) assuming m is positive.\nAnswer: m**(-8687\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2514716 greater than -2514641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - 2 - 9) + 3 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2916 and 8720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atwkwk. Give prob of sequence wkaw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 109?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 52 = -12*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9296, -2\/3, 7\/30 in descending order.\nAnswer: 9296, 7\/30, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**4 + 0*l**4 - 140*l + 10 - 5*l**4 + 141*l + 11*l**3 in the form j*l**2 + x*l + b*l**3 + d*l**4 + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -8\/1047183, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 2, r: 4}. What is prob of picking 1 w and 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from ssggfgogfssgfsfs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1294.\nAnswer: -1294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**2 + a - 1. Suppose 8*k + 1 = 2*x + 7*k, -4*k - 20 = 0. Let u be l(x). Solve 0*w + w = -u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 - -29791.4.\nAnswer: 29662.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 28*v**2 - 49 - 17*v + 101 to w + h*v + n*v**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 3 = 0. Let b be (-4)\/(-18) + (-4)\/18. Suppose -c = -3*s - s + 6, s - 2 = b. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -2*x - 32. Suppose 5*s = -y + 59, 6*y = x*s + 7*y - 23. Calculate the least common multiple of (-1)\/(-4) + (-378)\/(-24) and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1491*r**4 - 3*r**2 - 200.\nAnswer: 35784*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 766*t - 215. Is k(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(19) + 1*sqrt(76) - (4 + (4*sqrt(171) - sqrt(171)))**2.\nAnswer: -1555 - 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**7\/21 + 2*y**6\/5 + 3*y**5\/5 + y**4\/3 + y + 11. Let w(z) be the first derivative of c(z). Factor w(t).\nAnswer: 4*t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190 + -1332\/7. Let v = 52 + -51. Which is the third biggest value? (a) v (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 3. Let g be a(-4). Find the second derivative of -5*i**2 + i**2 - i + g*i + 0*i**2 wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 21*p**3 - 2*p**2 + 3*p - 2. Let r be i(1). Suppose r = 3*z + 2. What is the least common multiple of z and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191298713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 16*q**2 - 28*q + 2. Let n be -12*(-1 - (-2)\/1). Let p = -8 - n. Calculate the remainder when p is divided by g(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2. Let d(q) = 779*q. Give d(a(m)).\nAnswer: -7011*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*i = -2*x + 8, 0 = 2*x - 5*i - 48. Let f(r) = 2*r**2 - r - 1. Let n be f(2). Let w = x + n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-4) - 2\/8. Let k = 210 - 210. Suppose k = -5*x + 2*o + 23, -3*x = -8*x + 4*o + 21. Solve l*s - x = -14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*f + 1191*f + 6435 = 725*f for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 j, and 1 e when four letters picked without replacement from {e: 3, l: 1, y: 4, j: 2, h: 4}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/180 + n**4\/36 + 5*n**2\/2 - n. Let i(d) be the first derivative of g(d). Factor i(t).\nAnswer: t*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*t - 2268, 3*h + h - 2997 = 5*t. Let l = h - 745. Solve 4*p - 4*w + l = -0*w, 3*p - 2*w + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 + 4.91. Let v be (-2114)\/11 + 4\/2. Let o = 190 + v. What is the closest to -1\/2 in s, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, -3\/2, 0.4, 1, -9\/343 in descending order.\nAnswer: 1, 0.4, 2\/35, -9\/343, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 93.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*24\/(-1056)*(-22)\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 2)*(-1)\/(-2). Suppose 2*u - 4*o + 26 = 0, -4*u - 2*o = 14 + 8. Let y be u\/(-3) + 3\/(-9). Is y smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2750 or 2937?\nAnswer: 2937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 33\/5, 0.001, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 331, -35, 0, -4, 8, -2, 3.\nAnswer: -35, -4, -2, 0, 3, 8, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/84)\/((-1)\/(-6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.04, -0.09, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*sqrt(125) + sqrt(125) - sqrt(125))*2 + 3)**2 + -4 + 5)*2.\nAnswer: -720*sqrt(5) + 36020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:56 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*g + 776*g = -168 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*b - 3*q, 0*b - 2*b + 84 = 4*q. What is b rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:09 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -17. Let j = -8 - k. Is -3 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 5, -4\/9, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82431)\/(-351))\/(-43)*26.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, z: 1, p: 1, t: 1, c: 1, q: 1}. Give prob of sequence ctu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/7, 3\/10, 3, 1, 0.1, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-100)\/15)*-35. Let s = a - 26. Sort 1, -3, s in decreasing order.\nAnswer: 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 3*d + 11. Let y be m(0). Let p(c) = 8*c**3 + 2*c**2 + 6*c + 6. Let v(l) = 15*l**3 + 4*l**2 + 11*l + 11. Determine y*p(o) - 6*v(o).\nAnswer: -2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5641\/6 - -955. Let k(c) = c**2. Let g be k(-1). What is the common denominator of h and -1*29\/(-4) + g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + 7 = l, 7 = 3*d + 5*l. Let p be d + 1 - 3 - 0. Put p, 4, -4 in ascending order.\nAnswer: -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -0.010042700676?\nAnswer: 0.989957299324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 157829, 631328, 1420501, 2525348, 3945869, 5682064, 7733933?\n\"Answer: 157837*l**2 - 12*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imud when four letters picked without replacement from udimimidymdduyiyid.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or 3710418?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - -49. Suppose 0 = 84*u - h*u + 56. Let q = 6 + 10. What is the least common multiple of q and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.9 - 13.17. Let n = a - -0.26722. Round n to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009903007 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 248850694 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159898872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -30 + 3*m + 45 + 2*m**2 - 27. Let w be b(2). Solve 3*a - 1 = w*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -214? (a) -1\/3 (b) 1 (c) -2 (d) 0.11 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/9 - -6) + (-1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5025, -5067, -5193, -5445, -5865, -6495, -7377?\nAnswer: -8553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, l: 8, j: 4, v: 1}. Give prob of sequence vflj.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -648, -1299, -1952, -2607?\nAnswer: -3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 8500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*l**2 + 139*b**2*l + 2*b**2 - 3*b*l**2 - 2*b*l + 205992*l**2 - 107*l wrt l?\nAnswer: 2*b**2 - 6*b + 411984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 7375, 53 in descending order.\nAnswer: 7375, 53, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 1109790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/120 - 11*m**5\/30 - 11*m**4\/8 + 3*m**3 + 64*m**2. What is the hundreds digit of n(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Suppose -i*a + 12 = -5*t + 146, -2*t + a = -54. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1658, 3047, 6418, 12635, 22562, 37063, 57002?\n\"Answer: 144*x**3 + 127*x**2 + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z - 106. Let k(c) = -13*c + 215. Determine -2*k(u) - 5*x(u).\nAnswer: u + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5 = 127. Let b(d) = 2*d**2 + 15*d + 25. Let k be b(-8). What is the greatest common divisor of x and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 18 = 2*i + 3*i + 36*r, 2*r - 7 = 3 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 12*g**2 + 6*g - 31. Let l be x(-14). Is (-2)\/(-4)*(l - -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 57 + 82 = 0. Suppose o*f + 4*k = 3*k - 1254998, -251002 = f - k. What is f rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:00 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4057535 and 78?\nAnswer: 316487730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + 1 + 2 - 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1707.25 + -1107.1?\nAnswer: -2814.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38360 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -125\/11, 20\/13, 23 in ascending order.\nAnswer: -125\/11, 20\/13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 - (-34)\/9. Let g be 5\/((2 - 0)\/10). Suppose -y*s - 5*z + g = 0, 2*s - 5*z = -13 - 12. Which is bigger: s or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*i*l**2*m**2 + 2*g*i*l + 4*g*l**3*m**2 + 10*g*m**2 - 12*i*l**3*m - i*l*m**2 - 2*l**3*m**2 wrt l.\nAnswer: 24*g*m**2 - 72*i*m - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/140 and -43\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*j = 1900, 0 = 5*u + 2*j - j - 2417. List the prime factors of u.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, -2\/29 in decreasing order.\nAnswer: 0.3, -2\/29, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*f + 5 + 2 = 0, -f = -2*h - 7. Let x be (2\/(-3))\/(0 - h). Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - r**2 + 0*r**2 - 2*r**2 - 3*r + 2 + r**3. Let p be 0 + -1*(0 + -2). Calculate m(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 equal to 60\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*p**2 - 29*p**2 + 69*p + 10*p**2 - 1 - 46*p**2 - 24*p**2.\nAnswer: 89*p**2 + 69*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*q + 12 = 0, 0 = -29*c + 30*c - q + 2. Let r = -18 + 7. Let b = r - -8. Put 3, 0, c, b in decreasing order.\nAnswer: 3, c, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -6*(sqrt(700) + 1 - sqrt(700)))**2 - (-2 + sqrt(700))*-1)*6.\nAnswer: 780*sqrt(7) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52072 divided by -2?\nAnswer: 26036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*f**3*t**3 + 3*f**3*t**2 + 17*f**3*t + 16*f**2*t**2 + 22*f*t**3 wrt f?\nAnswer: 96*t**3 + 18*t**2 + 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h + 14*h - 47*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((b*b*b**26*b)\/b)\/b)\/b)\/(b\/(b*b\/(b**(-2\/91)\/b))))\/(b\/b**5)**28)**(5\/6) assuming b is positive.\nAnswer: b**(31855\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1. Let w(i) = 5*i - 2. Let y(s) = 4*p(s) - w(s). Let h be y(4). Which is the second smallest value? (a) h (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 74 - 188447*l**2.\nAnswer: -188447*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3367323 divided by -411.\nAnswer: 8193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 25*m = 19*m - 231075. What are the prime factors of m?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14921 = -x - w, -372*x = -369*x - 3*w - 44733. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4720174 - -40.\nAnswer: -4720134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(((sqrt(153) - -2*sqrt(153))*4)\/((sqrt(99)*1 + sqrt(99))\/sqrt(11) + sqrt(9)) + (sqrt(102)*-1*-5 + sqrt(102))\/(sqrt(96)*-3)).\nAnswer: -7*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Calculate the common denominator of (-387)\/24*(-1 - (-13)\/15) and (x\/(-2))\/((-32)\/(-85)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(192) + 1 - sqrt(192)) + sqrt(192) - (sqrt(192) + -3*sqrt(192)*-2))*-3)**2.\nAnswer: -1728*sqrt(3) + 62244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -516*i**3 + 48*i - 261236?\nAnswer: -1548*i**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 908895566 from 14.093.\nAnswer: -908895551.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112056 is divided by 291?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 + 232. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19110774 is divided by 780?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 1 - 1)*(5*r + 9 - 9)*(-5716 + 66 + 3142 - 5199) in the form h*r**2 + s*r + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13268 (b) 14 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 - 2620537*w**3 + 4.\nAnswer: -2620537*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 16. Suppose l + 38 + 23 = 0. Let g = -25 - l. Calculate the highest common divisor of g and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36513162 and 54?\nAnswer: 109539486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-56))\/(-1)*1*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 0 - 4 + 58*n**2 + 5*n**3 + 8 - 68*n**2 - 8 in the form j*n + b*n**3 + q + v*n**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5057 plus -0.03046471?\nAnswer: -5057.03046471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-6))\/((-2)\/6). Does 3 divide 4 + 0 - v\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55225*f**5 + 4860740*f**4 - 68837849*f**3 - 250323998*f**2 + 4275780*f - 18216 = 0.\nAnswer: -3, 2\/235, 22, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 6300*s + 1994816.\nAnswer: 4*(s + 439)*(s + 1136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 - 24*g**2 - 26*g**2)*(4*g - 2*g + 0*g).\nAnswer: -112*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 3\/7, 2, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*v - 34, 2*y = -5*v + 28 + 38. Solve -16*c + 10 = -v*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(1\/7)*k)\/k*k)\/(((k*k\/((k\/((k*k\/(k**(-5)\/k)*k)\/k))\/k)*k)\/k)\/k)*k**(3\/7)\/k*k**3*((k**2*k)**28)**(6\/11) assuming k is positive.\nAnswer: k**(3341\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*n**5\/5 - 74*n**4\/5 - 132*n**3\/5 - 88*n**2\/5 - 16*n\/5 = 0. Calculate n.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 - -1 - (1 - -4). Let j be (-7 - s)*(2 - 5). Solve 0 = 4*f + 12, -4*c - f = -j*f + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -0.123 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5084, 0.1 in descending order.\nAnswer: 0.1, -4, -5084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 2216?\nAnswer: -2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moom when four letters picked without replacement from {m: 8, o: 3}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617929082 to the power of 1\/2, to the nearest integer?\nAnswer: 24858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/138 and -31\/138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -11*r**5\/30 + 5*r**4\/24 - 14*r**3\/3 - 11. Let g(s) be the third derivative of h(s). Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(200) - (sqrt(200) - 3*sqrt(200))*-3)\/sqrt(8))\/((sqrt(210)\/sqrt(7)*6)\/sqrt(6)).\nAnswer: -5*sqrt(5)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*c - 1911 = 27*c. Solve 0*b + 42 = -c*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-6))\/2)\/((-4)\/((-432)\/(-252))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4971510 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3346? (a) -0.3 (b) 4\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324215 divided by -264843?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110)*3 - sqrt(110))) + sqrt(110))\/sqrt(11) + sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(10)*-2)*-6))\/(2*1*sqrt(320)*-1) + 2.\nAnswer: -9*sqrt(2)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 1. Let i = 27 + -38. Let o = i + 16. What is the biggest value in g, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 2. Let n be (0 + -1)\/(5\/(-15)). Suppose x - 5 = 5*i, -2*x - n*i = 3*x + 3. Suppose 0 = -x*o + 4*o - 72. Let y(v) = 5*v + 9. Give o*z(t) - 4*y(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -13\/6*a**3 - 9 - 13\/2*a**2 + 3*a - 9\/4*a**4. Let g(p) = -13*p**2 - 6*p - 6. Determine 13*g(f) - 6*h(f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 7 + 14)*(-1 + 3*k + 1) + k - 2*k - k + (0 + 3 - 4)*(-25 + 25 + 17*k) in the form f*k + t and give f.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 204371877 bigger than 204371879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 271, -2, -454?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 462942.\nAnswer: 462942.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.085 greater than or equal to 5517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 3*p - 1101*p**2 + 1986*p**2 - 1056*p**2.\nAnswer: -171*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 366, 356, 342?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - -5)\/(1\/1 - 2). Suppose x = 4*x - 6. Suppose 4*a + z + x = 4, 3*z = 6. Solve -g - f = 2*q, a = 4*q - g + 17 - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1409 divided by 11471\nAnswer: 1409\/11471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17.5 times -0.4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/10)\/(19*(-1)\/114). Which is the closest to 6? (a) -0.4 (b) k (c) 9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*y - 12 = 0, 5*y - 15 = 4*n - 3*n. Solve -6 - 5 = f - 2*b, 4*f + 5*b + 5 = n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**3 + 3*u**2 - 46*u + 29. Is 30 a factor of c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 620a21 - 2?\nAnswer: 620a1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(700))*3 - sqrt(700)*4*2 - 6*sqrt(700)*5*-4*-6)**2.\nAnswer: -217500*sqrt(7) + 367937725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from uqqyymmyuuqqm.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476*g + 932 = -1472*g. What is the greatest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3421a9 (base 14) to base 9\nAnswer: 3302045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -137, 5, -2, 2 in descending order.\nAnswer: 5, 2, -2, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w. Let n(m) = -3865859*m**2. Determine n(d(q)).\nAnswer: -313134579*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*x - 46 = 0, 183*y - 181*y + 2*x - 28 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -g + 8, 21 + 2 = 5*j - 2*g. Let h = -0.11 - -0.186. Let y = h - -1.924. Which is the nearest to -4? (a) y (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, l: 4, d: 9}. Give prob of sequence eede.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2012 + -1406. Suppose 7*u - 613 = 2*u + 3*j, 5*u - n = -4*j. What are the prime factors of u?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120 - (16 + 96)) + -100.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:24 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 0*q**4 - 3*q**4 + (2 + 3*q**2 - 2)*(0*q**2 - 3*q**2 + q**2) + 5*q**4 - 1 + 1 + (6*q - q - 4*q)*(-3*q**3 + 2*q**3 + 2*q**3) + 2*q**4 - q + q.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 365*s**3 - 122*s**3 - 4.\nAnswer: -487*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -60, 0.1?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, 118899 in descending order.\nAnswer: 118899, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 1\/2*q**4 - 3*q**2 + 1\/3*q**3 + 4*q + 0 - 1\/20*q**5. What is the units digit of c(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 200. Suppose 5*v - 7*u - 10 = -2*u, -u = 0. Let x = v - 2. Solve x = -z*n - 3*i + 23, -n - 26 = -4*n - 4*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -71. Suppose 2*y - 6*y = -4*m, -5*y + s = m. Suppose -6*k + 144 = 24. What is the greatest common divisor of k and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 0 + -2 + -1. Suppose o*f - f - 6 = 0. Find the first derivative of 5*m**2 - 4*m**2 + 4*m**f + 3 - 2*m**2 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, -0.11, 59?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3487632, 6975308, 10463028, 13950792?\nAnswer: 17438600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-8) - 3)*0 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2529.633 nanometers to meters.\nAnswer: 0.000002529633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 + (-1424)\/72)*-18 + -19?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2489 = 2*a + 6*m, -m = -2*a + 2483. Let o = a - 16138\/13. Factor 8\/13*b**2 - o*b + 0 - 2\/13*b**3.\nAnswer: -2*b*(b - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 1, s: 1, j: 1, p: 1, q: 1}. Give prob of sequence sl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 + 1159*h - 18 - h**2 + 13 - h**2 - 1156*h in the form c*h + y*h**2 + k and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -18*m - 24. Let g be d(-2). Suppose 531 = g*n - 657. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21690\/((-1)\/(-4)*(-15)\/(-1250)). Round z to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j**2 - 8*j + 65. Let r(a) = 16*a**2 + 13*a - 97. Let v(f) = -7*q(f) - 5*r(f). Solve v(k) = 0 for k.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1.6. Let l = -0.424 + r. What is l rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302320 - -3?\nAnswer: -302313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 3*s = 64 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569.8084311 rounded to 1 dp?\nAnswer: -1569.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52.2 + 13.8. Let s = i - 1. Let h = 66.09 - s. What is h rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 65 = -20. What is the remainder when 10 is divided by ((-6)\/(-1))\/(q\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - -0.08. Let n = -32 + 0. Let d = n - -27. What is the second biggest value in j, 0.4, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -1, 0.1, -0.3 in increasing order.\nAnswer: -1, -0.3, -1\/10, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**1)\/m)\/m**(-4))\/(m\/(m*m**(4\/7))*m**1) assuming m is positive.\nAnswer: m**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7392 divided by 528?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-514)\/10 + 6\/15. Let x = n + -10. What is the tens digit of x\/(-1) + (-15 - -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -155*g + 45. Suppose -4*v - 3*n + 168 = 0, n - 221 = -70*v + 65*v. Let f(m) = -14*m + 4. Determine v*f(c) - 4*h(c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 2:06 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16371?\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 6*l - 20. Let c be k(9). Let g = c + 45. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1872) - (sqrt(1872) + (sqrt(1872) - sqrt(1872)*-1)))*3*3)**2.\nAnswer: -1728*sqrt(13) + 606544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84036 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 73*o**3 - 4 - 1326*o**2 - 1322*o**2 + 2648*o**2.\nAnswer: 73*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 14 + 18*z + 5*z**3 - 31*z)*(4*z + z + 4*z + (-4 + 5 + 0)*(0*z + z + 0*z)).\nAnswer: 50*z**4 - 130*z**2 - 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433480886.\nAnswer: 2, 216740443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Calculate the remainder when 3*t*28\/21 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4, -8*k = d - 3*k - 15. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 296, 1156, 2566, 4508, 6964, 9916, 13346?\n\"Answer: -3*j**3 + 293*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101100010100111010 (base 2) in base 15?\nAnswer: 194743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - 1*sqrt(228)))*-2 - sqrt(228))\/(sqrt(48)*-1 - sqrt(12)) + 4.\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 9620 and 9621 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 102291229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.523 * 0.00519.\nAnswer: 0.00790437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:18 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19\/2 (b) 0.5 (c) -0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*h**2 - 2968*h**3 - 23*h + 38*h + 166*h**2 + 20 + 40 wrt h?\nAnswer: -17808*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 4*h**2)*(7*h + 2*h - 3*h)*(-1 + 6 - 3).\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {k: 1, d: 11, y: 1}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11) + (sqrt(11) - 6*sqrt(99)\/sqrt(9)) + -3 - (3 + (sqrt(1100) + 0)*4 + sqrt(1100) + sqrt(1100))**2)*-3.\nAnswer: 1092*sqrt(11) + 118833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10112 - -30496. What is the thousands digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 18*l + 7 = 15*l, -f - 4*l = 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - -10 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-7\/6))*x*x**(-12\/11)*(x**(-5\/6)*x*x*x)\/(x**17\/x))**32 assuming x is positive.\nAnswer: x**(-5312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + (-85)\/(-25). Let o = 24 - 20. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201231 + 103?\nAnswer: -201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 129ca8 - -3?\nAnswer: 129cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 + 351. Let g be y\/12 + (-1)\/(-3). Suppose -2*n = -4*z - 6*n + 272, 2*z + n - 132 = 0. Calculate the highest common factor of z and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11500.9956 seconds?\nAnswer: 0.133113375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12393664 * 5\nAnswer: 61968320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314879022.\nAnswer: 2, 3, 5831093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:25 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + f - 2 = -4 - 3, f - 40 = -3*a + 9*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*y**3 - 21*y**3 - 732*y**3.\nAnswer: -1518*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/15592 and 83\/492?\nAnswer: 1917816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(sqrt(684) - (0 + sqrt(684)) - sqrt(684)) - (sqrt(684) - (-1 + sqrt(684) + sqrt(684) - sqrt(684)) - sqrt(684))*-6 - -4*sqrt(684)*-5*3)*-5)**2.\nAnswer: -1020600*sqrt(19) + 610837200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 4*r + 3*r**2 + 9 - 5*r. Is d(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -528 + 352. Let r = -156 - j. Let a be 1\/5 + 38\/10. Solve -a*g = g + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9518735*a**2*j**2 - 7561*a**2*j + 28*a**2 wrt j.\nAnswer: -19037470*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**5 + 5*y**5 - 8*y**5)*(8 - 19 - 11)*(5 - 1 - 2).\nAnswer: 528*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/34)\/(6\/12)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 107?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2) + 7 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1616*-0.5.\nAnswer: -808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 - 12*w + 3. Let f be i(-6). Solve -f*v + 10 - 19 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001138133959 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1641432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1 + 16)) + 30 + -24\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/45 - 3)\/(60\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and 84.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 74. Suppose j*r + 0 = 4. Let f = -314\/615 + 10\/41. Is r != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h - 1. Let l(r) = 38*r**2. Determine t(l(g)).\nAnswer: 304*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 - 238*c = 0. What is c?\nAnswer: 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/7 - 363016*w\/7 + 16472577032\/7 = 0.\nAnswer: 90754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 16*z - 3*z + 105. Sort -31, 4, z, 0.3, 5 in ascending order.\nAnswer: -31, z, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6 = 7*c - 11*c, i = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 45738 - 381\/2*d**4 + 3\/2*d**5 + 70509\/2*d**2 - 86328*d + 11049\/2*d**3 = 0. Calculate d.\nAnswer: -7, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/3)\/u*u*u)\/((u*u*(((u**(-1)\/u*u)\/u)\/u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4 + 23*l**3 - 76*l**2 + l?\nAnswer: 72*l + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/5)*u**(1\/12)*(u*u**(-2\/5)*u)\/(u**(-10)\/u) assuming u is positive.\nAnswer: u**(157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (75\/50)\/(3 + (-9)\/6). Which is the nearest to k? (a) -0.03 (b) -0.1 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 - 59. Calculate the remainder when 110 is divided by c\/(-20)*(-210)\/9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-3) - (-706)\/(-1059)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.95 (c) 4\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-4)*(441 - 437)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.1, -2\/3, 0.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 211*k - 3195. Let s be m(-87). What is the highest common factor of 12096 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**(-2\/17)*m*m\/(m**(-2)\/m)*m*(m\/(m\/m**(-4\/11)))\/m*m*m*m*(m**5*m)\/m*(m\/(m\/m**(-2\/7))*m**7)\/(m**(-2\/7))**(-20) assuming m is positive.\nAnswer: m**(2946\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.077 from 0.02.\nAnswer: 1.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -34. Let r be ((-2)\/4)\/(i*(-9)\/(-18)). Let g = 1 - 1. Is g bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-5))\/((-10)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46883717*y + 4*y**2 - 13*y**2 + 46883551*y + (y - 3*y + 0*y)*(2*y + 3*y - 4*y).\nAnswer: -11*y**2 - 166*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 - 89. What is the remainder when a is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75395 - -19172. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7355349 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -221, -409, -671, -1007?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:06 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5\/3)*u*u)\/u*u*u)\/u**(-6\/13) assuming u is positive.\nAnswer: u**(109\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-2 - (1 - 3 - -3)). Suppose 0 = -3*a - f, 5 = 5*x - a - 77. Solve 2*t - 24 = -4*k, 0 = -2*t - 2*k - 2 + x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 152*d**4 - 5 + 6 + 2 + 132*d**4 wrt d.\nAnswer: 1136*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14351177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 4:50 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2145 - 2121 = -m, 3*m = -s - 12. Put s, -14, -7 in decreasing order.\nAnswer: -7, s, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40333108, 80666205, 120999302, 161332399, 201665496?\nAnswer: 241998593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 20, 5*x + 5 = n + 19. Put 0, 7, x in increasing order.\nAnswer: 0, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by -4?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k - 9. Let j(h) = -4*h**2 - 6. What is j(w(u))?\nAnswer: -144*u**2 - 432*u - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*z = 3, -z - 13 + 9 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 6*o - 10. Let x be m(2). What are the prime factors of (0 - (-339)\/4)\/(x\/(-24))?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5075596, -10151234, -15226882, -20302546, -25378232, -30453946?\nAnswer: -35529694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6615 - -1?\nAnswer: 6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 44*q - 16. Let z = 20 + -17. Let b(w) = -3 + 4*w - z*w + w + 7*w. Let c(j) = -3*a(j) + 14*b(j). What is the first derivative of c(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u - 20. Let r(a) = 5*a - 7. What is 4*i(j) - 11*r(j)?\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94690 - 1797?\nAnswer: -96267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -525*g**2 - 1230*g - 648.\nAnswer: -3*(5*g + 4)*(35*g + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t + x = 68*t + 286, 4*x = t - 161. Is -3 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 628488.\nAnswer: 628488.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 3. Let r be l(0). Let t = -44572 - -44572. Solve -r*j = -6 - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kok when three letters picked without replacement from kkkkokkkkkkkk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6953 + 6953 - 780*y to the form k + c*y and give c.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 16269?\nAnswer: 65076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 4061010\nAnswer: -13\/4061010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 5*c - 2*c)*(0 + 0 - 2*c) - 4*c**2 - 2*c**2 + 4*c**2 + c**2 + 1 - 1 + (0 + 0 - 2*c)*(-1 + 1 + c) - 1092 + 1092 + 51*c**2.\nAnswer: 46*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y**2 + 2*y)*(-3*y + 5*y + y) + 13*y**3 - 6*y**3 - 4*y**3 + (0*y**2 - 7*y**2 + y**2)*(3*y + 3*y - 4*y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-20801)\/(-5797))\/((-50)\/(-170))\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -199?\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293 or -149?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 31*q + 82. Calculate t(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.097 * -2.62\nAnswer: 0.25414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, p: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4297, -2\/885, 4\/9 in decreasing order.\nAnswer: 4\/9, -3\/4297, -2\/885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 168\/31 and 1\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((104\/(-26))\/(200\/(-15)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 10:45 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1104 and -103\/485346?\nAnswer: 3882768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w = 4*m - 2865, 0 = 4*w - 12. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10847*m**2 + 2978 wrt m?\nAnswer: 21694*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r + 2. Suppose 41 - 27 = l + 5*t, 2*l - t + 5 = 0. What is h(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131277780 divided by 754470\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**7\/420 + p**6\/360 + p**3\/3 - 1. Let s(f) be the third derivative of d(f). What is the third derivative of s(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 58. Solve -4*h = -15 - g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.393426 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 - 0.05. Let y = -6 + -2. Put y, v, 0.5 in ascending order.\nAnswer: y, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -428 (b) -20 (c) 0 (d) -75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23153993 to the power of 1\/2, to the nearest integer?\nAnswer: 4812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 - 618 = 4*b. Let d = 383 + b. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. What is the remainder when 27 is divided by (-132)\/(-20) + 2\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 0.0233\nAnswer: -0.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14430 divided by -5?\nAnswer: -2886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3018, -6036, -9052, -12066, -15078, -18088?\n\"Answer: r**2 - 3021*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 58707438*s - 287213606376987.\nAnswer: -3*(s - 9784573)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20223 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/4, -3303, 4, -0.08, 0.05?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011585678?\nAnswer: 2, 3, 23, 79, 92789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 - 7*s**2 - 17*s + 107. What is the thousands digit of k(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -4 (b) -0.131 (c) 2 (d) -19 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20095746?\nAnswer: 2, 3, 11, 304481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 1666 - 1249. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61010 is divided by 60945.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53735 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 94 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/40*(-2600)\/620 and 11\/36.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.029 - 0.029. Let v be 42\/(-63) + 4\/6. Let o be 4\/3*2\/16. Which is the fourth smallest value? (a) -1\/3 (b) v (c) o (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521565*h - 21 = -521560*h - 3*l, 2*l - 12 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000051342 rounded to 7 dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4 - 0) + (1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 - 12*v + 12. Let h(i) = -i**3 + i**2 - i + 1. Let c(b) = 2*h(b) + j(b). Let r be c(6). Solve -u + 2*u - r = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 - 1635\/8. Let r = -126809\/6 - -21134. Which is the second biggest value? (a) 1 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.75316 nanograms to grams.\nAnswer: 0.00000008075316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 4*q**2 + 21)*(0*q**2 - 5*q**2 + 2*q**2).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 46*v**2 - 24*v - 29. What is t(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 2. Let z(b) = -3*b - 9. Let d(o) = -y(o) + z(o). Let l be d(-5). Solve -l*p - 8 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**5\/15 - 19*q**4\/4 - 64*q**3 + 3584*q**2\/3 - 870. Factor x(m).\nAnswer: -m*(m - 7)*(m + 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35135 is divided by 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 5668*r + 5670.\nAnswer: -2*(r - 2835)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 2, z: 1, w: 9, q: 3, j: 1}. Give prob of sequence zq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8*c = 54. Suppose c*g = 7*g + 352. Let n = g + -106. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*h = 367, 2*h = 4*t - h - 377. Calculate the greatest common divisor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321714 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 59\/2. Let a = -17\/2 - -9. What is the nearest to g in -1\/6, -0.02, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 12. Let a(j) = -1. Suppose 2*m + 3 = 7. Calculate m*l(k) + 22*a(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/18 - (4 + -2) and -99\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86456 (base 10) to base 11\nAnswer: 59a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168479 - -168267.793. Let t = 3.35 - -207.65. Let d = t + a. What is d rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 6 + 13 - 3*l - 6 + 0*l to q*l + b + d*l**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61025 is divided by 6774?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3779061642 to the nearest integer?\nAnswer: 61474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106370 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2, -1 in ascending order.\nAnswer: -25, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 11*b + 14. Let o = 10 - 20. Let q be k(o). Suppose 2*d + 15 - 220 = 5*c, -2*c = -q*d + 370. What is the remainder when d is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 990*g + g**3 - 1022*g - 11 - 23 - 15*g**2. Let v be f(17). Solve 2*b + 4 + 2 = v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174005 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -10000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8450 + 8769. Does 313 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-52) + (-5)\/20?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 - 621*n**2 + 42*n wrt n?\nAnswer: -40*n**3 - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 2 - 4 + 4. Let f(j) = j + 3. Let p be (-46)\/(-14) - (-4)\/(-14). Let s(x) = -81*x + 488. Let w be s(6). Calculate p*k(g) + w*f(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 b when four letters picked without replacement from {g: 1, b: 17}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 2. Calculate u(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n = m - 376, 29*n = -2*m + 23 - 363 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*j - 3*o, 3*j - 2*o = -4. Let r = -9 + 13. Suppose 0 = 2*v - 5*d + 25, 0 = v + v + r*d - 20. Put v, -1, j in decreasing order.\nAnswer: j, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 360*z. Let u(i) = 2*i. What is u(k(j))?\nAnswer: 4*j**2 - 720*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29959 + 30415. Calculate the greatest common divisor of 488 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15361*r = 15491*r + 2730 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 15 - j + j**3 + 6 - 10 - 5*j**2 - 7*j**2 to the form x + o*j + g*j**3 + r*j**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 2\/91 (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*1\/5)\/(-2) - -3. Solve -p*a + 25 = 2*f, 2*f - a = a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a - 12*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 3*t**2 - 3*t. Let a(l) = 14*l**3 + 13*l**2 - 9*l. Let s(j) = j**3 + j**2 - j. Let i(q) = -2*a(q) + 22*s(q). What is -5*i(x) + 7*v(x)?\nAnswer: 2*x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -0.485.\nAnswer: 3.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.0515 kilometers in millimeters?\nAnswer: 712051500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438264?\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 97980?\nAnswer: 1469700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4282 + 4521. Which is greater: z or 237?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1075, -28, -1, 4, 5.\nAnswer: -28, -1, 4, 5, 1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 3*g**2 - 5*g**2 + (0*g**2 + 0*g**2 - g**2)*(3 - 6 + 5) - 3 - 3*g**2 + 3 - g**2 - 3*g**2 + 3*g**2 + g**2 + 3*g**2 - 7*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, 34, 32, 30?\n\"Answer: -2*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:21 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.7 - -6. Suppose 5*g = 5*w - 35, 16 = -g - 3*g. Which is the nearest to 0.1? (a) w (b) -3\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96692?\nAnswer: 2, 23, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1201.22705 and 1.6.\nAnswer: -1199.62705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/198952 and 59\/19130.\nAnswer: 994760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-30 + 32)\/(((-4)\/(-110))\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6069 - -6071. Solve 5*c = 2*l - 14 + m, -3*c - 4*l = -24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144 - -524?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-27))\/((-1)\/(-18)*-2). Let b(k) = -k**3 + 4*k**2 + 3*k + 4. What is b(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96628944977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, -0.167, 24, -0.03?\nAnswer: -0.167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6302 is divided by 1048.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(12\/16))\/(-2*2). Suppose d*v**2 + 0 + 1\/3*v = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9\/4 (b) -4 (c) -1\/3 (d) 344.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/5)\/a*a)\/(a\/a**(-6\/25)))\/(a*(a\/(a\/(a**(-8)*a))*a)\/a*a**(-2\/51)*a) assuming a is positive.\nAnswer: a**(3824\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*f = -26, -3*f + f - 12 = -r. Solve 14 = -k + 4*s, -3*s - r*s = -k - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + sqrt(152) + (sqrt(152) - (sqrt(152) + sqrt(152)*1)))\/sqrt(8) + sqrt(19) - sqrt(19) - (sqrt(19) + -2 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:02 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0*j + 5*j - 4 + 2*j**2 - j**2 - 3*j. Let c(k) = k**3 - k**2 - k - 4. Let u be c(0). What is q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.086 - 0.621695197.\nAnswer: -0.707695197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9840 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 29, 51, 81, 119, 165?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + 63. Suppose -t = -3*g - c, 2*c = -g - 21 + 59. Suppose g = 5*x - 3*x. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1195 - -632. Let f = 568 + a. Put -5, -0.79, f in decreasing order.\nAnswer: f, -0.79, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1. Let u be 14\/6 + (-40)\/(-60) + -6. Let f(a) = 2*a + 4. Determine u*f(l) - 12*z(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = -170. Let q = c - 22. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 45*q**2 - 71*q + 1100. Calculate p(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-310)\/(-93)*12\/10. Let h be (4\/(-6))\/(7\/210*v). Suppose 0 = 4*j - 3*j - 4*y - 9, 0 = 2*y + 6. What is the second biggest value in 0, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5aa (base 14) to base 9\nAnswer: -1485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 92, 71, 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055899 to 3 dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6747 (b) 52 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 + 330. Find the third derivative of -a*d**2 - 177*d**3 + 83*d**3 + 81*d**3 wrt d.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1487280 - 62?\nAnswer: -1487342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -444 + 446. Find the second derivative of -2*o**2 - 149*o - 7*o + 4*o**v - o**2 + 36*o**4 wrt o.\nAnswer: 432*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/8 - 102867*g\/2 + 3527206563\/2.\nAnswer: 3*(g - 68578)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 9 = 0. Let q be c\/(-6)*(-2 + 0). Let j = 11 - q. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**4\/12 + x**3 - x**2. Let u be o(3). Solve 0 = -u*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 625 - 616. Solve j*u = 10*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:51 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 2*h**2 - h**2 - 94*h**3.\nAnswer: -94*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301201 - -2301110?\nAnswer: 10202311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 18711858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**3 - 6*a + 16. Let x be r(2). Let l = x - 141. Let h(w) = -w**2 - 2*w. Determine h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-30)\/(-8)*(474\/632)\/((-189)\/8)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 8. Let y = 290503\/17 - 17093. Is m greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3179, -3184, -3189?\nAnswer: -3194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 - h - 10. Let k be l(-3). Suppose t - k = 7. Let w = t + -65. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*c - 222*c - 5*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 496 = -23*w. Let u = w + -28. Let s = 387\/4 - u. What is the biggest value in 2, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60) - (((sqrt(75)*2 - sqrt(75)) + sqrt(75))\/sqrt(5) - sqrt(15)))\/(-4*sqrt(25)\/sqrt(5)*3).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l = 9. Let j(u) be the second derivative of u + 1\/6*u**l + u**2 + 0. What is j(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3094 - 1.0349.\nAnswer: 3092.9651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 7*z - 12. Suppose -z*g + 144 = -g. Suppose -i - g = -9*i. Calculate the lowest common multiple of 8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from udejn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-9)*k\/(k**(-6)\/k))**16 assuming k is positive.\nAnswer: k**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 59*x - 15. Let y(o) = -15*o - 1. Let f(g) = -m(g) - 4*y(g). What is f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 12*c**2 + 20*c - 7. Let r be j(-14). Let a be r\/(-14)*4\/33. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**3 - 11*z**3 - 25*z**3 - 49*z**3 - 26*z**3 + 163*z**3.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 + -294. Solve -4*s = -20 + v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let g(k) = k**3 + 5*k**2 + 4*k + 2. Let n be g(-4). Let s(h) = 11*h**n - 6*h**2 - 2*h**2 + 10*h**2. What is d(s(w))?\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -43178 <= -45313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 808 = -2*y. Let q = 571 + y. Let x = -23 + q. What is the remainder when x is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 51 = 2*w + s, 3*s = 3*w + 93. Let t be ((-8)\/w)\/(1\/(-7)). Put t, 0, 2 in increasing order.\nAnswer: t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 2576.\nAnswer: 2575.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 29 = -5*i, -4*i + 3*i + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*r = p + 5, -4*p - 3*r = 9. Let z(l) = 2*l**3 - 2*l**2. Let y be z(2). Let c = 6 - y. Is p < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 3*l**2 + 3*l - 3*l**2 - 2*l**2 + l**2 + (0 + l + 0)*(-4*l + 2*l + 4*l) + (0*l - l + 4*l)*(-2*l - 1 + 1).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1419\/10 - -142. Let b(q) be the first derivative of 0*q**3 + 0*q**2 + x*q**5 + 0*q**4 + 2 + 0*q. Factor b(l).\nAnswer: l**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 21)*-2 + 3. Let v be (-3)\/(f\/(-84) + 1\/(-6)). What is the tens digit of 58\/1 - 0*(-4)\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + 775.\nAnswer: 774.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*r + 80, -88 = -4*r - r + 3*x. What is the greatest common factor of r and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402*w + 246 + 157*w - 246 to the form q + f*w and give f.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(w + 1 - 1 + (-5*w - 121*w - 44*w)*(0 - 4 + 1))*(5*w - 5*w - 2*w).\nAnswer: -3066*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*q - 1 - 303*q - 182*q - 287*q - 547*q to the form y + s*q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 421784 and 35008072.\nAnswer: 35008072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6867646634 to the power of 1\/3, to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -283*u**4\/2 - 4*u**3 - 3*u**2\/2 - 127. Find the third derivative of o(z) wrt z.\nAnswer: -3396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*y + 87*y = 0. Solve 26*b - 35*b + 36 = y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - x + 1. Suppose -8*c = -4*c - v - 1813, -4*v - 1363 = -3*c. Let w(s) = -c*s + 454*s + 5*s**2 - 1 - 4*s**2. What is -w(f) - 3*y(f)?\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2242394l in millilitres?\nAnswer: 224.2394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 3544*z - 2327*z to p + u*z and give u.\nAnswer: 1217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.001 + 0.099. Suppose -2*g = -4*m - 18, 5*m - 2*g + 18 + 2 = 0. What is the closest to r in -1, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34936218 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 4, 243.1, 5, -5.\nAnswer: -5, 4, 5, 151, 243.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -1 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 5*m**2 - 3*m + 6. Let g be z(-5). Calculate the highest common factor of g and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1786, -4427, -7068, -9709?\n\"Answer: -2641*o + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*s = 17, -s + 0*s = 5*h - 10. Let z = h + -6. Sort -3, z, 0 in increasing order.\nAnswer: z, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 8*y**2 - 17*y + 7. What is the tens digit of l(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5362, -21490, -48362, -85972, -134314, -193382, -263170?\n\"Answer: t**3 - 5378*t**2 - t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12465604?\nAnswer: 2, 83, 37547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 - 15 = 0. Let n(p) = -29*p + 0 + 8*p + s. Does 30 divide n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x. Suppose -19 = -5*t + 6. Suppose x = -t*i - 0*i. Is 1\/7 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36071, -72130, -108189, -144248?\nAnswer: -180307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 - 303. Let t = 321 - q. List the prime factors of t.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (4\/8 - (-687)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 4. Let h be b(3). Let u = -5 + 2. Let l = 34 + -30. Sort h, l, u in decreasing order.\nAnswer: l, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 22) + 14 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 838363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 + b. Let d(u) = -u**3 + u**2 - 11*u + 4. Let z(n) = d(n) - 2*q(n). Let h be z(4). Put -1, h, -10, 4 in increasing order.\nAnswer: -10, -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*k. Let a = k + 0. Let f(c) be the second derivative of c**3\/6 - c**2\/2 + 408*c + 3. Determine f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, v: 2}. What is prob of sequence iiii?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -125121600 to the nearest one million.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12041, -12063, -12085, -12107, -12129?\n\"Answer: -22*t - 12019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.21 - 22.2?\nAnswer: 61.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(1102\/29)\/(-19)*(-125)\/(-10)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3108418 + 1?\nAnswer: -3108417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1452 (b) 6 (c) -2 (d) -3 (e) 5 (f) -81\/8 (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 1631*j - 6507. Let p be c(4). Suppose n + 2*q + 2*q = -3, -2*n + 3*q = -16. Sort p, n, -2, 36.\nAnswer: -2, p, n, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/14)\/((-622)\/6531).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 12:27 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204 (base 5) in base 6?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101110000001010001 (base 2) in base 7?\nAnswer: 6026043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128309 rounded to the nearest one thousand?\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 514\/(-420) - (-475)\/570 and -173\/120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -330889, -330874, -330849, -330808, -330745, -330654?\n\"Answer: i**3 - i**2 + 11*i - 330900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(133)*-5)\/(4*(sqrt(7) + (sqrt(28) - sqrt(7)) - sqrt(7))*4).\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/2580*-24)\/(((-2)\/1)\/((-90)\/3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i + 76. Let s = 27 + i. What is the remainder when 27 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 20. Let b(d) = 9*d - 40. Determine 6*b(m) - 13*r(m).\nAnswer: 2*m + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1308 by 2.\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874a21 (base 11) to base 5.\nAnswer: 324204302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/10 + 2692*u**2\/5 + 160129*u\/2 + 789881\/5 = 0. What is u?\nAnswer: -5231, -151, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33122903 to 4 decimal places.\nAnswer: 0.3312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 - 0.03. Let l be 72\/(-154) - ((-130)\/(-35) + -4). Which is the nearest to -1? (a) s (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 646, 639, 632, 625, 618?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -3*k - 42, k = 0. Solve -5*d + 15 = 0, 0 = v + 11*d - y*d + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -157, -2, 5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 8. Let p(f) be the second derivative of f**5\/20 - f**4\/3 + f**3\/3 - 3*f**2 - 11*f. What is p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 1 - 252*a**3 + 254*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r. Let o(k) = 8*k**2 - 3*k. Suppose 94*f - 86*f - 24 = 0. Let x(n) = 13*n**2 - 5*n. Let v(b) = f*x(b) - 5*o(b). Determine v(c(z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44*15188117\nAnswer: -668277148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 25 = 0. Let i be 8\/32*(1 + -2). What is the closest to i in z, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 547098 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4041 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 - 83. Suppose -4*o - 10 = -30. Suppose 2*a - v = -o*c - 7, -84 = -4*a - 4*c. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14112648 and 4944.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((10\/(-2))\/1)\/1. Let v(s) = s**2 + 3*s - 5. Let j be v(o). Let t(r) = -5 - 6*r + 13*r - r**3 - 115*r**2 + 119*r**2. Give t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3965\/(-976)*(-4 + (-265)\/(-75)) + (-3)\/48.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 2135\nAnswer: -5\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3736?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -13*n**3 + 64*n**2 - 2*n - 7. Let p(s) = -28*s**3 + 128*s**2 - 4*s - 15. Give 6*p(f) - 13*u(f).\nAnswer: f**3 - 64*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2394)\/(-12540)*100\/(-525)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(2 + (1*sqrt(133)*1)\/(sqrt(28)\/sqrt(4)*-6)).\nAnswer: -12 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2329*g + 93031. Calculate w(40).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414301346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 26 = 4*p, 7*j - 16 = 4*j - 2*p. Suppose -j*i + 853 + 671 = 2*o, 0 = -5*o + 4*i + 3837. Calculate the highest common divisor of o and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 21. Let y(t) = -2*t**3 - 6 + 2 + 3 + 8*t**s + t - 7*t**2. What is y(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 7*w**2 - 12*w + 8. List the prime factors of x(-7).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a factor of 55146825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:10 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:43 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 825 = 23*o. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -400920, -801838, -1202754, -1603668?\n\"Answer: r**2 - 400921*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 626, -3, -5, -2 in decreasing order.\nAnswer: 626, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 24*j - 2. Let v(a) = -a**2 + 20*a + 1. Let x(h) = -5*p(h) + 6*v(h). Factor x(g).\nAnswer: -(g - 4)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, v: 1}. What is prob of sequence vc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 7*l**2 - 12*l - 3. Let f(r) = r - 2. Let u(w) = w**2 - 3*w - 7. Let o be u(6). Let a be f(o). Is v(a) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74753 and 35657.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from teeeeeseetiee.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/9*(4\/(-3))\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**5\/30 + 1322*f**2 + f. Let y(x) be the third derivative of 7\/12*x**5 - x**2 + 0*x**3 + 0*x + 0 + 0*x**4. Give n(y(z)).\nAnswer: -2450*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 359 divided by -26\nAnswer: -359\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10243339?\nAnswer: 37, 276847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 91*f - 364. Let q be g(4). Solve -2*r + 4*l + 4 - 22 = q, -r - 3*l = -1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 8, h: 4, f: 5}. What is prob of sequence ww?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.073 in -5, 1, -141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + (-23 - -4) + 17 - 24?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 8. Let f be a(-4). Suppose -f*q - 2*w + w + 571 = 0, 3*w - 283 = -2*q. Let c = 15092 + -15080. Calculate the remainder when q is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95783042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1578*t**4 + 2*t**3 + 5500*t**2 - 4. Let z(d) = -d**3 + d**2 + 1. Let g(p) = -h(p) - 4*z(p). What is the third derivative of g(q) wrt q?\nAnswer: -37872*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695941608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -143 + 41?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2.01. Let u = -360 + 360.5. What is the nearest to -2\/9 in u, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {u: 3, k: 2, j: 4, x: 4, o: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -2*u. Suppose -26 = -3*x - 0*x + u*f, 8 = -2*f. Let g = 3 - x. Solve y + 0 = g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4 - (-10 + 7))*-9)\/(-1). Suppose 27 = 2*w - o, -3*w + 32 = -2*o - 9. Let r = w + a. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 9*b**2 - 2*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1224827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -4*q. Let h be ((-2)\/6 - 0)*12\/(-2). Suppose 70 = -2*m + 5*m - h*c, -3*m + 64 = c. Solve 4*t = -m + q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**3*i)\/(i*i\/i**(-1\/7))*i**(2\/5)*(i**(-1\/3)*i)\/i)**28 assuming i is positive.\nAnswer: i**(1228\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, -0.3, -70, 3\/8, 2\/5, 6\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -124, -6, 5, -2\/11, 0.1, -45\/4?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 13*w**2 - 8*w + 36. Let s be b(9). Let m = s + 489. Calculate the smallest common multiple of 28 and m.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = -2*i - 4*h, -i - 7 = -4*h. Let p(o) = 4*o + 16. Let x(c) = -3*c + 3 + 2*c - 8. Let s(q) = -2*p(q) - 7*x(q). Calculate s(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.424825 - 0.14.\nAnswer: -0.564825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtir when four letters picked without replacement from {i: 2, w: 1, t: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:22 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 230, 92, -82, -286, -514, -760, -1018, -1282?\n\"Answer: q**3 - 24*q**2 - 73*q + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3595 + 42*r - 3595 - 4 + 4 - 2*r + (3*r - 4*r + 3*r)*(6 - 1 - 3) - 3 + 3 + 2*r.\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -745 divided by 3\nAnswer: -745\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-42))\/(24\/72)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 2. Let x be o(2). Let k be -2 - -1 - (-8)\/x. Let r be -2*(-1 + (-2)\/(-4)). Which is the smallest value? (a) r (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**3\/6 + 180*m. Let k(w) = -11*w**2. Let d(b) = 539*b**2. Let y(a) = 2*d(a) + 99*k(a). What is i(y(o))?\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*y + 3, 2*s - 16 = 4*y - 50. Factor -2\/7*c**3 + 2\/7*c**4 - 2\/7*c**2 + 0*c + 0 + 2\/7*c**y.\nAnswer: 2*c**2*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/21 and -167\/8940?\nAnswer: 62580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(32\/22) + (-1)\/(-4). Solve -3*z - 4*y - 23 = 0, -k*z = -2*y + y - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*((-26)\/(-6) - 4) + 0. Calculate the highest common divisor of g and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*v - 340, 0 = -5*c + 3*v + 277 + 116. Calculate the greatest common divisor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 1 (c) -2658 (d) 0 (e) 8 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 4:27 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -258 (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(((-100)\/120)\/(-1)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 168723044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40711872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 - u**2 - 15*u + 42. Let l be b(4). Suppose 0 = 6*c - l - 790. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4 + sqrt(128)\/sqrt(4))**2 - sqrt(32)) + -1 + (sqrt(3200)*4 - sqrt(3200))*-6.\nAnswer: -692*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129140.\nAnswer: 2, 5, 13, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2163027487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -44745\/151 at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 6. Let n be p(4). Suppose -22*c = -21*c - n. Solve 5*i - 2 = c*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*n - 8 = 0, 2*p + 5*n = 3*n - 6. Let i be -1 + (37495\/5)\/p. Round i to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4497, -5 in descending order.\nAnswer: -3, -5, -4497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - i**2 + i. Let w(p) = 30*p**3 - 44*p**2 + 3*p. Let h(y) = -3*l(y) + w(y). Find the third derivative of h(a) wrt a.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 4, e: 5, m: 2, q: 2}. What is prob of sequence mis?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -89*u**3 + 7*u**2 + 4*u - 3. Let f(l) = 3*l**3 - l**2 - l + 1. What is -4*f(k) - t(k)?\nAnswer: 77*k**3 - 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 91*u - 724. Let k be o(8). Solve -k*g + 21 = 37 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6936, -13157, -19376, -25593, -31808, -38021?\nAnswer: -44232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1232 (base 4) to base 11.\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -300148 divided by -75037\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10686046, -21372093, -32058140?\nAnswer: -42744187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11688203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -24. Solve -a + 1 + j = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**4\/7 + 388*w**3\/7 + 468*w**2 + 9612*w\/7 + 9504\/7 = 0?\nAnswer: -88, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1284195*d**4 + 173*d**3*l**3 + 21*l**3 + 30471*l**2 - 264*l wrt d.\nAnswer: -5136780*d**3 + 519*d**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 7*i - 17 = -2*i, -3 = 3*i. Let r be 460*-1*75\/p*-40. What is r rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 182427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**2 + 26*d + 289. Calculate t(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - 1*(-102)\/16 and (-3604)\/(-104) - 18\/117.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from xxsxsqx?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - (sqrt(100) + ((sqrt(100) - 2*sqrt(100))*-6 - sqrt(100)) + sqrt(100)))\/sqrt(10))\/(-4*(sqrt(98) + sqrt(98)*1)).\nAnswer: 3*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 + 10*i + 4. Let d(r) = 7*r**2 - 9*r - 6. Let f(a) = 2*d(a) + 3*t(a). Let g(y) = -y. What is g(f(u))?\nAnswer: 4*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.5 and -0.48.\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/4 - 17*s**4\/2 - 71*s**3\/4 - 9*s**2 = 0. Calculate s.\nAnswer: -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 537988903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62322, -124652, -186982, -249312, -311642, -373972?\n\"Answer: -62330*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 1, t: 3, r: 1}. What is prob of picking 4 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 580*x**4 - 36500*x**3 - 487500*x**2.\nAnswer: 4*x**2*(x - 195)*(x + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-126))\/(4\/(-42))*(-2)\/70?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 26.521113 months?\nAnswer: 0.00221009275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62\/7*f**2 - 20\/7*f + 10\/7*f**5 + 10\/7*f**3 + 46\/7*f**4 + 16\/7 = 0 for f.\nAnswer: -4, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/21*(-14 - -17).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.98 - 0.02. Let r be (-4)\/(-3) + -15*1\/(-9). Let s be (1 - 1 - r)*46\/345. Which is the fourth smallest value? (a) 1\/4 (b) t (c) 2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5 - -6) + 0)*-1. Let r(g) = g**3 + 4*g**2 + 2*g - 4. Let v be r(-3). Which is the nearest to q? (a) v (b) 1\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10940 - 65*c + 430*c - 10940 + 400*c in the form s + u*c and give u.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 12. Let i = -61 + 61. Sort i, 2, a.\nAnswer: a, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 - 1 = -5*c, -5*p + 17 = 2*c. Let q = 31 - 28.2. Let y = 2.92 - q. What is the biggest value in y, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/27*(6\/15)\/(268\/(-1005)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/2940*7*1\/1. Which is bigger: 17 or x?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/34, -8, 0.3 in ascending order.\nAnswer: -8, -5, -1\/34, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15948?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.265229 to 3 decimal places.\nAnswer: 0.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 5*v**2 - v**2 - 2*v**3 + 4*v**4 - 22 + 21 to the form m + t*v**4 + r*v + w*v**2 + g*v**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2689*r**3 - 597*r**2 - 2*r wrt r?\nAnswer: 16134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024563277 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 48*m**2 - 140*m.\nAnswer: -4*m*(m + 5)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -99 * -1\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.109001 decades in years?\nAnswer: 81.09001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 339976.1 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let s = 2 + r. Solve 5*x - 2 = -y + s, -2 = -y - x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*o**2 + 76772*o - 22923384.\nAnswer: -4*(o - 341)*(7*o - 16806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**3*o**2*y - 8*c**3*o + 18*c*o*y - o**3*y + 162*o**3 wrt y.\nAnswer: -3*c**3*o**2 + 18*c*o - o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145.94 - -146.04. Let p be (1\/(-61))\/(3\/3). Does p = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 5. Let z(j) = -4*j - 9. Let t be z(q). Calculate the greatest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 4*u**4 - 3*u**4 + (-u**4 + u - u)*(6 - 2 - 3) + 0*u + 0*u**4 + u**4 + 6*u.\nAnswer: 4*u**4 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0025 * 39\nAnswer: -0.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:27 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1443\/11224 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 + 1.7. Let t = 78 + -236\/3. Which is the nearest to t? (a) 4 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5507 (base 10) to base 7\nAnswer: -22025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, 0.2, -0.5, 14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 - -198. Solve 0 = 4*w + 8, 0 = i*m - 5*w + 4*w + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 6*j**2 - 3 - 2*j**3 + j + 10*j**2. Let f be r(3). Solve a + a = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 4:26 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 - 41*g + 46. Determine d(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*d*l + 2*d*o + 3*d - 425*l*o - 1 wrt o.\nAnswer: 2*d - 425*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1359870 or 5?\nAnswer: 1359870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.47 - 0.97. Which is bigger: s or -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336499*w + 336464*w = -525 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*w - 50*w - 56. What are the prime factors of (-1028)\/(-2) - (1 - (-8 + w))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, -2, -1\/2, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 = -0*l. Suppose 5*g + 1080 - 1130 = 0. Let s = l + g. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 q, and 1 k when four letters picked without replacement from {q: 9, k: 1, c: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2001, 3999, 5997?\nAnswer: 7995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/480 + s**5\/10 + 3*s**4\/2 + 45*s**2\/2 - 69*s. Let r(y) be the first derivative of o(y). Factor r(p).\nAnswer: p*(p + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1, 0.3, 18, -0.017, 0.5 in descending order.\nAnswer: 18, 1, 0.5, 0.3, -0.017, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 199 = -35. Suppose -3*i = -4*b + p, 4*i = 5*b - 27 - 71. Suppose -316 - 4800 = -65*h - 436. What is the highest common factor of h and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/9 - (-3)\/(-27). Suppose d = -8*r + 68 + 284. Let c = r + 47. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 365 = -376 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 31 - 3*k - 2*k.\nAnswer: -10*k - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 - 19*t - 3. Give h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {p: 3, u: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-12 + -9 - 13) + 27\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4535734g in kilograms?\nAnswer: 0.0004535734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160087956 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 698*v**4 + 82*v - 333*v**4 - 366*v**4 - 1 in the form t*v**2 + q*v**4 + l*v**3 + r + c*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 8*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*((5*(sqrt(4800) + 0 - sqrt(4800)) - sqrt(4800)) + -6*1*sqrt(4800)) + 4)**2.\nAnswer: 8960*sqrt(3) + 3763216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.5841 + 10.6. Round z to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154456*y**3 - y - 1010.\nAnswer: 926736*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by 3139055.\nAnswer: 114\/3139055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 2. Let w be o(4). Let i = w + 12. Suppose -j = -78 + i. Calculate the highest common factor of j and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 12 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:26 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/193954 and -71\/15726?\nAnswer: 581862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 13*r**2 - 7*r - 4. Let u = 65 - 60. Let x(a) = -a + 1. Let h(n) = u*x(n) + w(n). Give h(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + 96 - 96 - 15*m**3 + (0*m**4 + 3*m**4 - 4*m**4)*(-3*m + 5*m - 4*m).\nAnswer: 3*m**5 - 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 30*m**2 + 31*m + 54. Let g be n(-29). Put 3, g, -2\/9 in increasing order.\nAnswer: g, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:09 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 10*f - 5. Let r be s(10). Let i be (-146)\/(-74) - (1 - r)\/3. Let l = i - 32\/185. What is the fourth biggest value in 3, l, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.55 - 12.4. Let b = 13.15 - 13. Let g = b - n. Put 3, g, 0.3 in descending order.\nAnswer: 3, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 2*n + 5. Let w(c) = c**3 - 519*c**2 - 6865*c + 30. Let k(g) = -6*p(g) + w(g). Find the second derivative of k(z) wrt z.\nAnswer: 6*z - 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -27, -39, -55, -75, -99?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*q + 91*q + 1680. Suppose -2*c - q = -37*c. Calculate the remainder when 17 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0 + 1\/30*b**5 + 0*b + b**2 + 0*b**4 + 0*b**3. Let n(h) = 2*h. What is n(u(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**3 + 3*b**2 - 5*b + 1. Let q(d) = 10*d**3 - 4*d**2 + 7*d - 1. Let i = 8 - 2. Let l = 1 - i. What is l*q(z) - 7*v(z)?\nAnswer: -z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 1. Suppose 5*z + 5*s + 37 = 2, 4*z + 21 = 3*s. Let u(n) = n**2 - 9*n + 6. Let k(l) = z*w(l) + u(l). Find the second derivative of k(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 4*d - 55 - 36, 7*d = 2*d - 115 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20030332320 (base 4) to base 15.\nAnswer: 2c7203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -53*b**7\/210 - 2*b**6\/15 - 533*b**3\/3 - 399*b**2. Differentiate l(m) wrt m.\nAnswer: -212*m**3 - 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51, 79, 127, 195, 283, 391?\n\"Answer: 10*n**2 - 2*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 27*f**2 + 15*f + 16. Let z be c(-14). Differentiate 0*j**3 - 179 - 11*j**z + 3*j**3 + 19 + 0*j**3 wrt j.\nAnswer: 9*j**2 - 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbn. Give prob of sequence nb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 762\/((-228)\/30 + 8). Calculate the greatest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18848 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = b - 3, -684 = -4*b + 4*r - 640. Calculate the highest common divisor of 366 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 5*i + 2. Suppose p - 1 - 3 = 0. Suppose -52 = -p*s + 64. Suppose 0 = -5*b - 4*t - 5 + s, 0 = 5*b - 4*t - 16. Give o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2940.7 to the nearest ten.\nAnswer: -2940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*v - 2*v + 5*v)*(-3*v - 2*v + 3*v) + (2*v**2 - 3*v**2 - v**2)*(-3 + 0 + 4))*(-4*v**2 + 2 - 2) as r + k*v**3 + h*v**4 + j*v**2 + o*v and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*-3)\/sqrt(4).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 13) in base 10?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*c + 1 - 9, 2*c = 3*a + 12. Let r be (-4)\/(-4) + 3 + c. Suppose -o - 1 = -s + 1, o = -r*s + 18. Solve -3*x = o*i - 15, 0*x = i + 3*x - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-2))\/(29\/1653*19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w. Let o(p) = -p**3 - 31*p**2 + 33*p + 18. Let n = 345 - 377. Let l be o(n). Let d(s) = -11*s**3 + 7*s. What is l*t(u) + 2*d(u)?\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -307170.558 minus 505?\nAnswer: -307675.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 4598.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -0*c + 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d + 50. Let z = 10 + d. Suppose 5*v - b - 105 = 2*b, z = 3*v + 2*b - 82. Calculate the greatest common divisor of 168 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 19*s + 24. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -675 divided by 5.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 712432864?\nAnswer: -712432859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 156497*-4\nAnswer: -625988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 - 1818672*h**2\/5 - 7274664*h\/5 - 7274656\/5.\nAnswer: -2*(h + 2)**2*(h + 909332)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 46. Calculate the common denominator of -32\/3 and ((-82)\/(-16))\/(9\/d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21924767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.129 + 0.009. Which is the closest to 0.2? (a) 4 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17399953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1647065 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 16*w - 7. Let b be m(-16). Let u be (-2)\/b + (-2280)\/(-105). Let r be 6\/8 - (23 - u). What is the second smallest value in r, -2, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2108 + 6988 = -2*n. Calculate the common denominator of 121\/6 and 45\/(-9) - n\/879.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 0.075, 2\/5?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4862, 4874, 4886, 4898, 4910, 4922?\nAnswer: 4934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**5\/4 - 9*g**4\/2 - 3*g**3 + 2*g**2 = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/304 and 59\/40.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*q - 2*q = 18, -3*v + 5*q = 20. Let z be -8*(v\/(-4) - 3). Put -4, z, 5 in ascending order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 13*u**2 + 205*u + 575.\nAnswer: -(u - 23)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 - (9 + -60)) + 1 + -5 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -5*u + 4*u - 2*d, 5*u = 5*d + 535. Suppose 0 = 6*o - 4*o - u. What is the highest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 45. Let z be 60\/(-14) + p\/(-49). Is (89\/2)\/((-2)\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1788\/(-10))\/(30\/(-100)). Let l = u - -68. Suppose 51*k = 47*k + l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 times -23.7?\nAnswer: -16590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 292, 1, -3, -4, -1 in decreasing order.\nAnswer: 292, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) 176 (c) 26 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 2*v - 3*v + (3 + 3 - 7)*(37 - 21*v - 37) to the form f*v + s and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 6. Let t = -10 - -13. Let l(n) = 7. Let f(s) = t*b(s) - 2*l(s). What is the derivative of f(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22436 (base 9) to base 4.\nAnswer: 3221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 + 3*v**2 + 21*v + 54. Let k be x(-3). Let q = 101 - k. Let o = -0.1 + -0.1. What is the smallest value in -0.07, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1227 - -1873. Let l = k - 287. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 514182 and 1836?\nAnswer: 9255276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147 is divided by 53?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 3*w + 13, 0 = 11*g - 9*g + 3*w + 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-14695825822355.9\nAnswer: -14695825822355.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 2*p**2 + p - 1. Let u be o(1). Let l be (3 - (1 + u))*-2. Let h be (1\/5)\/(l\/(-2)). Which is the third biggest value? (a) h (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(7) + -1.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*l + 4 - 11, -5*j - 24 = -l. Let o(p) = -p**3 + 5*p**2 + 7*p - 5. Let b be o(6). Sort j, b, -8 in increasing order.\nAnswer: -8, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-34)\/(-1785)*-5)*-1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584484 divided by 46?\nAnswer: 792242\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**2\/2 - 2*b + 8. Let a(i) = 12*i - 27. Determine -2*a(k) + 27*u(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*o + 29 + 7, 0 = 2*o - 5*b - 36. Calculate the greatest common factor of o and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3ebad0d?\nAnswer: -3ebad0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from {o: 4, p: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 1\/6*w**3 + 18 + 2*w**2 + 0*w. Let p(m) = 0. What is m?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 200.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -41, 3 in decreasing order.\nAnswer: 3, -4, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Let b = 5 - u. Let g(o) = -o + 8. What is the lowest common multiple of g(b) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((5 - 4)\/(13\/130) - -2) + -7. Sort t, -173, 2\/3.\nAnswer: -173, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9620*o - 2574. Let i(b) = 303*b - 81. Let j(w) = 286*i(w) - 9*m(w). Let z(n) = 2*n**2 - 17. Calculate j(z(c)).\nAnswer: 156*c**2 - 1326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216))**2 + -1*(0 + sqrt(19)).\nAnswer: -sqrt(19) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 15*u + 22. Give s(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000132238 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 - 50*j**2 - 52*j + 28. What is k(-12)?\nAnswer: 2092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 40*o + 562. Calculate f(-12).\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*j**5*z + 7143*j**4*z**3 + 2*j*z**3 + j*z**2 - 63171*z**3 - z wrt j.\nAnswer: -3040*j**3*z + 85716*j**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = -9. Let l be (-266)\/r + (-1)\/(-3). What is the common denominator of 21\/(-14)*l\/(-15) and 62\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214900 is divided by 408.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5939348 + -1?\nAnswer: 5939347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*t, -2*a - 4*t - 30 = -178. Solve -6*v - 68 = -a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 145246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 142*v**3 - 154*v**2 + 160\/3*v + 0 - 6*v**5 - 106\/3*v**4 = 0. What is v?\nAnswer: -80\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 47*o + 718550000. Round o to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*c + 7. Let d = 2 + c. Let t be (12\/d)\/((-4)\/6). Solve -s = -t - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 1 - 3)*(-2*z + 5*z - 5*z) + 2 + 2*z - 2 + 0 + z + 0)*(-7*z + 7*z - 6*z**2).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171034 by 129.\nAnswer: -171034\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150330004 and 15620.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 1936465*f**2.\nAnswer: -5*f**2*(f - 387293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210830 - -189729. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4315, -10047, -15779?\n\"Answer: -5732*t + 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = -0*v. Let g = -4 + v. Let t be (g - -2) + -1 + 0. Solve t = -0*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/276 + -283\/1932. Which is the nearest to w? (a) 0.3 (b) 5 (c) 1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 + 3*f - 20. Let b be u(0). Let y = -17 - b. Suppose 5*v = -y*v + 3160. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(-30)*(r*r**(1\/6))\/r*(r*r**(-2))\/r)\/((r**(-5)*r)\/r*r**6)**(-2) assuming r is positive.\nAnswer: r**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 4*p + 132. Let j be b(0). Let t = 321 + j. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -2*s + 6*s. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2954608284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1316091, 1316093, 1316097, 1316103, 1316111?\n\"Answer: j**2 - j + 1316091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -1 + (-4 + sqrt(162) + 4 + sqrt(162) - (sqrt(162)*-4 + 3))))**2.\nAnswer: 972*sqrt(2) + 52497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3 (c) -17.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 831, 3317, 7455, 13245, 20687, 29781, 40527?\n\"Answer: 826*z**2 + 8*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + -4.02. Let n = -0.63 - -0.13. Which is the second biggest value? (a) r (b) n (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157465571603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (18 + (-2 - 1) - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2679 + 2655.302. Round z to one dp.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 394450 and 24?\nAnswer: 4733400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guggu. Give prob of picking 3 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4)*-2 - sqrt(153)*-5.\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1901374\nAnswer: -570412.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374109 = 43*c - 2183746. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)*1 + sqrt(204))\/(sqrt(300)*2).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*504163.87\nAnswer: 453747.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 218231858.\nAnswer: 21823185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25761*r*u**3*w + r*u**2*w - 2*r*u*w + 3*r*w - u**3 - w - 38 wrt u.\nAnswer: 154566*r*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2. Let k be 1\/(-5) + (-1991)\/(-55). Let b = k - 20. Let v(a) = 2*a + 6*a - 8*a - b*a**2. Determine o(v(t)).\nAnswer: -512*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 45. Let x = -15 + i. What is the least common multiple of 6 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*b + 189*b + b**3 + 9 - 63*b - 17 + 133*b**2 - 59*b in the form k*b**3 + m + p*b + i*b**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 7\/1)\/((-4)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f + 28. Suppose -s + 6*s - 20 = 0. Let t be q(s). Let o = 24 - t. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 505915 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + 0 + sqrt(13) + 2 + -4))**2.\nAnswer: -48*sqrt(13) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1575243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1928 - -4329. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -542 (b) 0.2 (c) -113.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -291842 divided by -4\nAnswer: 145921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c**2 + 0*c**2 - 7*c)*(2*c + 1 - 1 + (2 - 2 - 2*c)*(-5 - 1 + 5)).\nAnswer: 12*c**3 - 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*c - 2. Let d(b) = -2*b. What is the lowest common multiple of c and d(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f. Suppose 3*q = h - 6*h - 102, f = -q - 4. Let b = 29 + h. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -73.\nAnswer: -63\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433965961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7*y = 36. Suppose y*u - 22 = -4. Solve 0 = u*r - 12 - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4559 - -4558.5. Which is the third smallest value? (a) -1\/30 (b) -1\/5 (c) n (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n. Let v(b) = -13*b + 5. Let r(m) = 6*f(m) - v(m). Give r(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let g = -21 - -7. Let h(c) be the first derivative of 3*c**2 + 3. What is g*s(a) - 5*h(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4 - 4)*(-4*k - 4*k + 5*k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111*-1.80701\nAnswer: 200.57811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 282, 1\/8, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17293.6 - 17294. Let o = 4 - 1. Which is the nearest to i? (a) o (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15784 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.108 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 381253 from 0.1.\nAnswer: -381252.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 294*p**3 + 13*p**2 - 27*p + 14. Let u(b) = -b**3 + 3*b**2 + 2*b - 1. Let k(q) = 42*u(q) + 3*v(q). Find the third derivative of k(y) wrt y.\nAnswer: 5040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*b + 12 = 21, 4*b = -4*i + 16. Solve 0 = 3*a - i, -4*c - 5*a - 1 = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 30 - 11)*(-4 + 2 - 4049*z + 1266*z + 2) to i*z + l and give i.\nAnswer: 83490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 16 = q - 10*r, -3*q - 2*r = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/30 and 11\/520.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*h, 0 = -2*l + 5*h - 29. Let n(y) = 17*y**2 - 2*y + 2. Calculate the remainder when n(l) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*r - 314 = 0, 4*c + 2*r + 186 = 2*c. Let n = -96 - c. Let -n*w**2 + 12 + 7*w**2 + 7 - 20*w - 4 = 0. What is w?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.086 - 1.086. What is the closest to t in -0.5, -3, -0.08?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -g + 93, -4*g + 52 = -2*x. Let k be -104 - 3*(-4)\/6. Let j = x - k. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/9)\/(((d**(-4)*d)\/d)\/d))\/(d\/(d**7*d)*d*d)**45)**(7\/2) assuming d is positive.\nAnswer: d**(7231\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 - (-2 + 2). Let d(j) = -j**2 + 297*j - 2874. Let o be d(10). What is the fourth smallest value in o, -0.5, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58199*s + 57652*s = -56888 for s.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -215, 0.3, -1, 9688.\nAnswer: -215, -1, -2\/9, 0.3, 9688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2809679?\nAnswer: 2809679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66*14\/112)\/(6*(-2)\/64).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 0. Suppose i - 4*x - 25 = 0, -4*i = x - 34 + 19. Put b, i, -1 in descending order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**3 + 1\/2*v**2 - 4 + 0*v. Find the second derivative of u(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 - 8*o**2 - 8. Suppose 6*r - 1 + 31 = 0. Let f(y) = 6*y**3 + 7*y**2 + 7. What is r*x(z) - 6*f(z)?\nAnswer: -z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*q + 60*q - 73*q + 336 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.0018 weeks in microseconds?\nAnswer: 160273088640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from odsd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**5\/20 + 11*l**4\/12 - 5*l**3\/3 + 2*l**2 + 3*l. Let q be x(10). Let a(k) = -k + 3*k + q*k. Let h(i) = -i**2. Give a(h(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21203 or -514?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/3*3*-39*2\/(-39).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362282 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6231\/335 + -2*7\/(-10). Solve -x*w = -25 - 55 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141543.\nAnswer: 3, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:59 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137532904?\nAnswer: 2, 47, 365779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 45 = -q. Let r(p) = p**3 + 1 - 6*p - 3 + 10*p**2 - 7*p**2. Let h be r(-4). What is the greatest common factor of q and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -147 + 147 + 10*t**4 + (t**3 - t**3 + 2*t**3)*(-t + 3*t - 5*t) + 36*t**3 - 36*t**3 + 9*t**4.\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-140))\/(2\/(-4)*38\/3515)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-3 - -1)*-2. Suppose -i + 10 = r. What is the remainder when 14 - (3 + -2) - -2 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + (2 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 4*i + 11, 0 = 3*a + 2*i + 1. What is the highest common divisor of a and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 2*i + 0 + 2 - 2 + 5*i**4 - 1 + 3 as l*i**2 + c*i**3 + q*i**4 + b*i + z and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:32 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.683862 and -2.886?\nAnswer: 3.569862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 10:17 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 291 = 4*m, -2*m = 3*q + 389 - 1322. Solve -63 = 324*u - q*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -31 + 28 + 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(-4)*(7 + -33)\/(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/((-5)\/(-175)*7). Suppose -3*x + i = -13. Solve -x*c + 4*c = 4*r + 16, r - 13 = 4*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/(-1925))\/((-40)\/28).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-2) - 2\/1. Let m(x) = 2*x**2 + 8*x + 7. What is the tens digit of m(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 25*b**2 + 25*b + 30. Let h be p(-24). Let j(r) = -2*r + 7. Calculate j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151586059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 10*v - 10 - 6 - 7 + 43 = 0, 4*v = -12*h + 16*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) - (-1 + sqrt(175)))*-3 - (sqrt(63)\/sqrt(81) + 4) - (-1 + 1*sqrt(42)\/(-1*sqrt(96))))**2.\nAnswer: 24367\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13 (b) 0.2 (c) 2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4652 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {a: 3, v: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(8\/4) - (-3 - 1). Let k be (-4)\/(-6)*q*(-1236)\/(-24). Let m = k + -24. List the prime factors of m.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 4. Suppose 88 = 12*f - f. Calculate the lowest common multiple of f and t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 3*v - 24. Let g be i(-8). Let p = -191 + g. What is the third smallest value in 2\/9, 0.3, -8, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18b - -8?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 6:43 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5122456, 5122461, 5122466, 5122471, 5122476, 5122481?\n\"Answer: 5*d + 5122451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-1 + 3\/(-12)). Let q = -3 - v. What is the second derivative of q*t - 4*t + t**4 + 0*t wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*l + 1170*l = 10362 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -24*t + 65 + 12 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttktntntl. What is prob of picking 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 114*u + 7904. Does 38 divide y(82)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568281?\nAnswer: 3, 7, 27061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l - 1)*(220*l + 164*l + 17*l)*(2*l + 3*l - 4*l).\nAnswer: 802*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 828025?\nAnswer: 4968150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 15*a = 11. Suppose 12 = -4*j, 4*n - 4 = j + a. Suppose 5*g = -5*y + 180, -2*g - 36 = -n*g - 3*y. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32811 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:36 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a)**(12\/7)*a**(1\/2)\/a**(-1\/4) assuming a is positive.\nAnswer: a**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.089 times 54\nAnswer: -4.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1363 - 831. Suppose -2*k - f = -1267 - b, -5*f = -15. Suppose 1394 = 12*u - k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**3\/3 - 3*a**2 - 2*a. Calculate the remainder when -1 - -2 - (-17 + -4) is divided by p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -858, -3746, -11582, -26838, -51986?\n\"Answer: -412*l**3 - 2*l**2 + 2*l - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 37, -155, -2.22?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 - -269. Is 62 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y + 1. Let q(o) = -o**2 - o + 5. Let b(s) = a(s) + q(s). Find the first derivative of b(i) wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - 3*-3*sqrt(190)) + sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190) + -1*((sqrt(190) - 3*sqrt(190)) + sqrt(190)))\/(5*sqrt(90)*5*-4).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 29 = -11. Suppose 4*b + 7 = -q, 0 = -3*q - 2*b - 3*b. Suppose -2*g + 2 = 2*f, -q*g + 0*f + 45 = -5*f. Solve g*t - w = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 76. Find the common denominator of (10 + -4)*u\/27 and 73\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -131*a + 130*a + 3, 3 = -2*v + a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94490, -94613, -94736?\nAnswer: -94859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k + 49. Let d be b(17). Let p = -70 - d. Let n = p - 37. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 38*m**2 - 2*m + 1. Let j = 9 - 8. Is c(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 12) to base 6\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -5)**2*-6 - -1*(-4 + (sqrt(17)*2 - sqrt(17))).\nAnswer: -562 + 121*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43073835509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + 99*l - 32. Let i(x) = -25*x**2 - 394*x + 130. Let j(v) = -9*h(v) - 2*i(v). Let q be j(-26). Put -3, q, 8, -1 in descending order.\nAnswer: 8, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242 + -242.3. Let v be (-105)\/(-84)*(2\/(-5) - 0). What is the second biggest value in v, -0.2, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.103, 1\/2.\nAnswer: -0.103, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4962270.\nAnswer: 2, 3, 5, 251, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-84)\/(-441))\/((-69)\/(-9)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -48*z**2 + 2. Let r be i(-1). Let c = -229\/5 - r. Solve -1\/5*y + 2\/5*y**2 - c*y**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, 55, 109, 183, 277, 391?\n\"Answer: 10*x**2 + 4*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5093471 nanograms?\nAnswer: 0.0000000005093471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -72636 in ascending order.\nAnswer: -72636, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -416*u**3 + 5*u + 0*u + 3*u - 10*u as k + i*u**2 + n*u**3 + q*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 987935 and 1105?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/12 - d**3\/2 - 2*d**2. Let l(a) = 6 - 5*a + 2*a - 1. Let f(i) = -3*l(i) - 5*x(i). Let u(p) = -p. What is f(u(w))?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1017 divide 613449062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**5 - 8*m**4 + 16*m**3 - 4*m**2 + 6*m. Let j(f) = -f**5 + f**3 + f. Suppose q - 1 = -7. Let w(b) = q*j(b) + n(b). Factor w(o).\nAnswer: 2*o**2*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -6, -746, -0.42?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349311986?\nAnswer: 2, 61, 107, 26759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*q + 2*q - 3334 = 0, -4*z + 3322 = -q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280562 is divided by 84437?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27168569*q**3 + 10*q**2 + 3*q - 39881 wrt q?\nAnswer: -163011414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 54541802*o**5\/5 - 271803*o**4 + 2408*o**3 - 8*o**2 - 162. Find t such that q(t) = 0.\nAnswer: 0, 2\/301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/4 (b) -0.5 (c) 25 (d) -0.8 (e) -1.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.73 + 2.\nAnswer: -21.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\/20*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d - 3 - 10*d + 3. Let s(f) = 14*f. Give n(s(i)).\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 - -1.64. Let j = 2 - x. Let f be (1 + 1)*(13 - 14). Sort j, f, -4 in ascending order.\nAnswer: -4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)*(-2 - -1) - 2. Let a(p) = -p - 3. What is a(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x. Let u(d) = 5367*d + 3. What is u(j(t))?\nAnswer: 16101*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -15 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 451 - 10e77a?\nAnswer: -10e329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 1\/1260*u**7 + 0*u + 0*u**6 + 0 - 1\/180*u**5 + 0*u**4 + 1\/36*u**3 + 6*u**2. Factor r(s).\nAnswer: (s - 1)**2*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -6267*o**3\/5 - 730731*o**2 + 7335888*o\/5 - 1404 = 0.\nAnswer: -585, 2\/2089, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028771067 to 6 decimal places.\nAnswer: 0.002877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*i - 24. Suppose o = i*o - 1212. Suppose -178 = -6*w + o. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 894\/301 + -11\/43. Let v(x) = 6*x**3 + x**2 + 3*x - 7. Let c be v(5). Let a = -7027\/9 + c. Calculate the common denominator of a and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1 (b) -15\/2 (c) 0.3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**3\/3 - 5*r**2 - r. Let l be y(-7). Suppose 2*g + 60 = 5*x, -52 = -2*x - 4*g - l. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 44, 73, 112, 161, 220, 289?\n\"Answer: 5*b**2 + 4*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-7) - -1)*6\/(-3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5192626?\nAnswer: 2, 787, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s + 57. Let f be q(16). Does -104 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/21 - -2\/21. Let n be 0 + ((-1)\/3 - 0). Let f = 216 - 863\/4. What is the nearest to b in n, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012222002021 + 0?\nAnswer: -2012222002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 0, -45, -128, -261?\n\"Answer: -2*j**3 - j**2 - 2*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6))**(-8))**46\/((w**(-3))**27)**2 assuming w is positive.\nAnswer: w**(302\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*8\/(-2). What is the second smallest value in s, 3, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47340 and 6312.\nAnswer: 94680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 2 - 1) + 2. Let o(q) be the second derivative of -q**3\/6 + 5*q**2 - 45*q - 4. Calculate the remainder when 59 is divided by o(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36951 - 97?\nAnswer: -36a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 718 = 11*w - 673, -5*p = 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.172477 and 0.4.\nAnswer: 11.2689908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbbbcbbcpcccpc. Give prob of picking 3 c.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-3450)\/(-612)) + (-4)\/5. Let z = 35\/138 - h. Which is the second smallest value? (a) -0.3 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-234)*(-3996)\/(-888).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 + y - 1. Let g(k) = 3*k**4 + 6*k**3 + 15*k**2 + 6*k - 6. Let u(f) = g(f) - 6*h(f). Find the third derivative of u(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtxwdwxwzttwzwxddzz. What is prob of picking 2 d, 1 x, and 1 w?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 5:29 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 5*x - 3. Let t be s(6). Let f = -0.99 + 1.99. What is the nearest to -0.1 in t, f, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*l - 174*l - 2 - 8*l**3 + 86*l to q + i*l**2 + h*l**3 + r*l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 1682 = -3*h - 1691 + 3403, 0 = 3*c - 2*h + 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254 and 762?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202740564 divided by -5548.\nAnswer: 36543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 4*q + 8*q + q. Let p(j) = 14*j. Give l(p(i)).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 + 143535*u\/4 + 215289\/4.\nAnswer: 3*(u + 23921)*(2*u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.19 - 0.19. Let n = 39.1 - x. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.049 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 3:09 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 28 + (33 - 1) - 32?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11007 and 33.\nAnswer: 121077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 9*r - 4. Let q be w(-6). Suppose q = -a + 3*a. Suppose -2*z + f = -23 + a, 40 = 5*z - f. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2174*h + 97136 = 306*h for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**2\/17 - 192378554*u\/17 - 76951420\/17.\nAnswer: -2*(u + 19237855)*(5*u + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -3. What is the least common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - -4) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -0.7245.\nAnswer: -1.7245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g**2 - 7*g. Let u(f) = -f**2 + 430*f + 48*f**2 - 451*f. Let z(j) = -11*r(j) + 4*u(j). Find the second derivative of z(n) wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332493632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = -65*c - 1082 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 1 (c) 9 (d) -3 (e) 5923 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 6*x - 7*x)*(3*x**2 - 3*x**2 - x**2)*(2*x + 2*x - 2*x + (0 + 2 - 4)*(3*x - 2*x + 0*x) - 2 + 2 - 2*x - 5*x + 2*x + 2*x - 66*x + 343 - 343).\nAnswer: 207*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234 - -414. What is the common denominator of -2*3*(-185)\/y and 49\/(-9) + (-4)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107595*k + 53762*k + 53829*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -31, -55, -83, -115, -151, -191?\n\"Answer: -2*h**2 - 14*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*-6956\nAnswer: 13912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 152162990 to the power of 1\/3, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - a - 3 = -6*l, 0 = -2*l - 5*a + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71720000 rounded to the nearest one million?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -418586 < -418653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 1790256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -24. Let s(i) = 9*i**2 - 3*i - 3. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 7*t**2 - 58*t + 16. Let p be d(-5). Solve -p*q = -26 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*v**2 - 3)*(2*v - 2 + 2) + 1 - 1 + v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((30*d + 11*d - 21*d)*(d - d - d) - d**2 + 5*d**2 - d**2)*(2*d + 3*d - 7*d) in the form c*d + t + b*d**3 + m*d**2 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 139 = 95 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from rtnttrznnpntttntznn?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2*y - 6*y + 0*y + 0*y - y + (1 - 2 - 1)*(y + y + 0*y))*(0 + 5 - 2).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6599, -13235, -19873, -26513?\n\"Answer: -p**2 - 6633*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-4) - (1 - 1). Let k(v) = -v - 1. Let t(a) = -8*a + 9*a + 2 - 1. Let p(h) = u*k(h) + 7*t(h). Calculate p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20011022 (base 3) to base 12\nAnswer: -2722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4360 - -42679. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + p**2 + 6*p - 6. Let b be o(1). Solve -6 = -b*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15 - -6)\/((-57)\/(-24) - 2). Which is bigger: -31 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Suppose a - 2 - 1 = f. Let o(r) = -4*r + 3. Let m(g) = 5*g - 4. Let p(u) = u**2 - 6*u + 4. Let y be p(6). Give a*m(i) + y*o(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {v: 4, n: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(-115750*s + 36789*s + 51826*s) in the form k*s + r and give k.\nAnswer: 54270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*b**5 + 41*b - 1?\nAnswer: 1300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -65.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 1}. Give prob of sequence wj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258 and 6?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*o - 27*o - 26309 + 37177 = -54*o for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605 divided by 16?\nAnswer: 2605\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46013 - 1209. Suppose -4*a - 2*d - k = 0, -3*d - 7277 - 3929 = a. Round a to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 965 + -257. Calculate the smallest common multiple of 8 and d.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444084.\nAnswer: 2, 3, 23, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**3 + 10*p. Suppose 0*z + 32 = 16*z. Let t(o) = 4*o**3 + 3*o. Calculate z*m(d) - 7*t(d).\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = 5*y - 5*h, 3*h + 6 = 0. Suppose -i - 75 + 77 = 0. Let f = 188 + -174. Solve -i*p + 7*s - y*s = -10, 4*p - 3*s = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2275 in 0.1, -0.09, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/125 (b) 231 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/30 - 377*f**2. Let d(n) be the second derivative of 9*n**4\/4 - 2*n. Calculate w(d(k)).\nAnswer: -1458*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -19. Let x = 0.31 - 0.01. Is x smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19962080 divided by 30430?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355*d - 1352*d = -2*t - 7, -6 = 2*t + 4*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 37, 39, 41, 43, 45?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21566185?\nAnswer: 5, 47, 91771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**3 + 25*a**2 + 2*a - 3. Let n = -3977 - -3985. Let g(d) = -14*d**3 - 75*d**2 - 6*d + 8. What is n*w(c) + 3*g(c)?\nAnswer: -2*c**3 - 25*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w + 1. Let v be m(-4). Let t be -1 + 2 - (-7 - v). Which is the closest to 0.1? (a) -2\/5 (b) t (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 times -0.1?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/10420 and 38\/15285.\nAnswer: 31853940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o**3 - 3*o**2 - 7*o - 5. Suppose 135*k = 130*k - 10. What is the units digit of h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + o**2 - 2*o + 4. Let g be k(3). Let u = g - -49. Suppose 3*i = 3*f + 5 + 16, i + u*f - 4 = 0. Solve 10 + i = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4461144 to the nearest 10000.\nAnswer: 4460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/296)\/((-241)\/(-1928)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 e when three letters picked without replacement from ttcttettctetttcttet?\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479 times 0.4?\nAnswer: -991.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -6250?\nAnswer: 6249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, i: 3, r: 4, e: 1, f: 1, x: 1}. What is prob of picking 1 e and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**4\/4 - 279*x**3\/4 + 3315*x**2\/4 - 12033*x\/4 + 3510 = 0.\nAnswer: -104, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 28*n**2 + 59*n + 124. Is z(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6143.053 millilitres in litres?\nAnswer: 6.143053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + j - 1. Let z(k) = -k**2 - 6*k - 4. Let w be z(-4). Let a(s) = 2*s - 7. Let b be a(w). What is f(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 956438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymyymoooyeyyooy. What is prob of picking 2 m and 1 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236.0999988 - 236.16. Let f = 0 - -0.06. Let m = f + s. What is m rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -5, -13, -31, -65, -121, -205, -323?\n\"Answer: -p**3 + 4*p**2 - 9*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 less than 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.7. Let r = -2 + 2.4. Put -2\/5, d, r in ascending order.\nAnswer: d, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -293? (a) -16\/3 (b) -0.5 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 4:27 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:23 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c156 (base 15) in base 11?\nAnswer: -121845","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 284?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1697 + 75*u**2 - u - 5*u + 420 - 656 - 1648 wrt u.\nAnswer: 150*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x + x - 2)*(4*x - 5*x - 21*x) - 2*x**2 + 2*x**2 + 2*x**2 - 2*x**2 - x**2 + 2*x**2 + (-1 + 1 - 2*x)*(-4*x + 0*x + 2*x) + x**2 - 7 + 7.\nAnswer: -16*x**2 + 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -34. Solve 0 = -f*o + 2 - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 390, 3003, 10080, 23865, 46602, 80535?\n\"Answer: 374*i**3 - 12*i**2 + 31*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 - -270. Let m = g - 143. Solve m*o - 8 = 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y + 2. Let c = -20 - -56. Let u = -48 + c. What are the prime factors of z(u)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38517438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 43*i**4\/4 + 38*i**2 - 11*i + 1. Find the first derivative of n(c) wrt c.\nAnswer: 258*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.729 + 42.729. What is the closest to -1 in x, -2\/17, 2\/5, 71?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1043 - 685. List the prime factors of p.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 886*u + u**2 - 881*u - 2*u**2 + 1 - 2. Calculate y(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 3*x**2 + x - 1. Let c(b) = -916*b**3 + 607*b**2 - 6*b + 6. Let s(k) = c(k) + 6*l(k). Find the third derivative of s(h) wrt h.\nAnswer: -5532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -89*s. Let g(k) = 7*k**2 + 15. Suppose 0 = -23*a - 76 - 39. Let f(l) = -33*l**2 - 72. Let r(c) = a*f(c) - 24*g(c). Determine r(t(n)).\nAnswer: -23763*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -291991.\nAnswer: -291991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 153\/(-324) - (-12)\/54. Let i = -9.12 + 0.12. Let z = -4 - i. What is the nearest to 1\/3 in z, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1258624 and 32?\nAnswer: 1258624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-21))\/((-80)\/105600*44)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 115, 66, 5?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81, 184, 287, 390, 493?\n\"Answer: 103*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + -1 + 0 + sqrt(396)))*-3*2)**2 + (4 + -6*sqrt(396)*-1 + sqrt(396) + (sqrt(396)*1 - sqrt(396))*-5 + sqrt(396))**2.\nAnswer: -48*sqrt(11) + 39652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 a factor of 20523443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 63, -61.\nAnswer: -61, -6, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17189 is divided by 467.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - i = -20, 3*i = -i + 20. Suppose -2*h + 18 = 2*s, -3*h + h + 30 = a*s. Solve -3*l - 3*z = 3, -2*z = h*l - 2 + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 + 4\/(-8). Let x be 165063\/3 + (o - -1). Suppose v - 4*g = x, 6*g - 274985 = -5*v + 3*g. What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.273 to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 26*i = 23*i + 76, -3*i + 28 = y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = 0. Suppose 3*z + 4*i = q, -7 - 6 = -4*z - i. Suppose z*m = -m. Solve m*k - 9 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = -5*s - 16, 2*t = 5*s + 8. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -2 - 0) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/192*33*((-16)\/(-22) - 1). What is the fifth biggest value in 1, g, -0.6, -2\/13, -2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*l + 2*d, 22*d = 2*l + 17*d - 19. Suppose 4*o = 8 - 0. Factor -11*a + l*a**2 + 3*a**o - 5*a**4 + 6*a + 5*a**3.\nAnswer: -5*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {k: 1, o: 4, n: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -746.9 - -113.9. Let c = o + 632.999999589. Round c to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54098006\/9 < -6010889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64173 is divided by 689?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.2 + -18.5. Which is the second biggest value? (a) 31 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t**2 + 52*t - 38. Let w(s) = 3*s**2 + 13*s - 9. Let f(k) = 9*w(k) - 2*z(k). Let n be f(-14). Let y = n + -5. Solve -y*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {b: 3, f: 3, k: 5, z: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7680767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/3 - 5*j**4\/3 + 10*j**3\/3 + 20*j**2\/3 - 8*j = 0. What is j?\nAnswer: -6, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3041881*x + 7. Suppose -6*p = -3*p + 9. Let r be f(p). Let m = r - 16025650. What is m rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3 + 3)*(-2*a**2 + a**2 + 0*a**2).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*v**2 + 47233*v + 959260 wrt v?\nAnswer: 138*v + 47233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.26804135 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2*q + 5*s - 100, 2*s - 8 = 0. Suppose -q*c = 6*c + 3520600. Round c to the nearest one thousand.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 + 3*x**2 - 7*x - 2. Let o be t(2). Let h be 19\/(-2)*(1 - 3). Suppose 17*m - h*m = -o. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283331455 to the power of 1\/2, to the nearest integer?\nAnswer: 16832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.18. Suppose -1 = -4*f + 5*b - 9, -4*f - 3*b + 24 = 0. Let d = 221.89 - 221.59. What is the closest to g in d, -3, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1967, -2126, -2303, -2504, -2735, -3002?\n\"Answer: -g**3 - 3*g**2 - 143*g - 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/2, -0.2, 0.13, 0.07, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.21 and -1326 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139804*b - 23034*b + 8 - 5 + 40324*b.\nAnswer: 157094*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 15, 98*c + 214155 = 5*j + 94*c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3112840 + 26?\nAnswer: -3112813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10653?\nAnswer: 3, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + 0*b)*(256*b - 59 - 96 + 154 + (0 - 2 + 0)*(-b + 0*b + 0*b)).\nAnswer: 774*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 104 = -5*k, 3*k = -k + 3*b + 79. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 859 = -2*y + 851, -2*y + b = -16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1584\/(-231) + 0 + (-40)\/35 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50.05763 grams?\nAnswer: 50057630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-190)\/8 + (-1)\/4. Let v be (-2 - 16\/(-6))*r. Does 15 divide (v\/10)\/(4\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128593481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 174 - -2?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 2*z = -12, 0 = -16*o + 14*o + 3*z + 37. Factor -30\/7*w**4 + 0 - 6*w**2 - 6\/7*w**o - 54\/7*w**3 - 12\/7*w.\nAnswer: -6*w*(w + 1)**3*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -31\/5, 118, -11 in decreasing order.\nAnswer: 118, -2, -31\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**0*c*c)**(-12\/11)*(c**2*c)\/c**(1\/3))**(4\/21))**(-14) assuming c is positive.\nAnswer: c**(448\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0)*(-40*n - 502*n - 372*n - 1) - n**2 + n**2 + 4*n**2.\nAnswer: 1832*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 73, 110, 147, 184, 221?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. Let y be 3*(3 + -2 + z). Let i be ((-4)\/6)\/((-3)\/36). Let p(o) = 5*o**2 - 6*o - 3. Let w(q) = 2*q**2 - 2*q - 1. Give i*w(h) + y*p(h).\nAnswer: h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 1. Let p(i) = 1190*i**2 + 85. Determine 255*n(f) - 3*p(f).\nAnswer: -2805*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 22\/14 - (143440\/(-1400))\/163. Suppose 4\/5*p**3 + l*p**2 + 2\/15*p**4 + 0*p + 0 = 0. Calculate p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30647711*g*u**2 - 240*g + 49556 with respect to u.\nAnswer: 61295422*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 + 10*b - 26. Let j be o(6). Is j < -14\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 6. Let b(a) = 3*a - 4. Let p be 5 - (2 + -3)*-1. Let c be b(p). Is q(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1429 - 1416. Put -2, m, 4 in increasing order.\nAnswer: -2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 3*c - 2. Let k(f) = -1 - 7 - 28 + 35. What is -k(x) - n(x)?\nAnswer: 2*x**2 - 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + 46*v - 11. Suppose 4 = -z - 3*z - 4*c, 19 = z - 4*c. Let u(o) = 2*o**2 + 16*o - 4. Let r(d) = z*b(d) - 8*u(d). Give r(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 128\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 4*f**2 + 3*f**2. Let j(z) = -9*z - 5. Let m(d) = -12*d - 7. Let s(b) = 7*j(b) - 5*m(b). Determine s(r(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 - 6 = 0. Let o(r) be the first derivative of r**3\/3 - 3*r**2\/2 - 4*r + 2. Let s be o(4). Solve -m + c = 0, -g*m + s*c + c = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71530.\nAnswer: 2, 5, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 - 48*q**2 + q + 12. Let m be l(-12). Solve m = 8*h + 7*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Suppose -2*r - 8 = -5*c + 8, 4*r = 5*c - 22. Suppose -c*j + 10 = 3*j. Let f(q) = j*q - 2*q + 2*q + 0*q. Give p(f(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155733 = 3449*i + 2649*i - 1889*i for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w. Let j(o) = -11*o - 7. Suppose 7*f = 27*f + 80. Let a(i) = f*c(i) - j(i). Give a(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.57 or -172360?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -28, 237, 3, 0, 2 in increasing order.\nAnswer: -28, -5, -3, 0, 2, 3, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164488 is divided by 286.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(-714) + (169\/(-3211) - (-33)\/266).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 67. Let l = 27 - 8. Calculate the remainder when l is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.96001726 + -17.96. Round w to 7 decimal places.\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/5))\/((u\/(u\/(u*(u**12*u)\/u*u)))\/u))**(6\/29))**(1\/15) assuming u is positive.\nAnswer: u**(-4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 less than -0.09?\nAnswer: 9.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c - 5*z - 6, -3*z - 6 = 3*c. Suppose -c = v + 5. Let b be (-68)\/v + 10\/15. Calculate the greatest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/10 of a day?\nAnswer: 4752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.920353ml?\nAnswer: 0.008920353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 815 = -3*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*22*67515\/108024*(-1)\/(-5)*-4.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5a279 (base 12) to base 14\nAnswer: 32313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000917024 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -35*k**3 - 3*k**2 + 3*k - 3. Let j(q) = -36*q**3 - 2*q**2 + 2*q - 2. What is -6*j(x) + 4*r(x)?\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 6*l**2 + 4*l - 2. Suppose 3*s + 18 - 3 = 0. Let c be w(s). Let k(p) = -3*p**2 + 0*p**c + 2*p**2 - 4 - 2 - p**3. Give k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25951869 to the power of 1\/2, to the nearest integer?\nAnswer: 5094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/90 - (-14)\/63?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**5 + 983933*d**3 + 72865614*d wrt d.\nAnswer: -260*d**3 + 5903598*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u = 72*u - 105. Solve -2*q + 2 = -b, 4*b - 6*q + u*q = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-192) + (-6)\/(-60)*0. Let i(g) be the third derivative of 0*g**3 + 0 - 5\/32*g**4 - 34*g**2 - p*g**5 + 0*g. Factor i(c).\nAnswer: -5*c*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(15\/9 + 12\/(-6)). Solve j*m = g - 10 - 1, -2*g = m - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Let j be (1 + r)*-1 - 5. Let p be 2\/(-6)*0\/j. Let s(m) = m**2 + m - 7. Calculate s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003886727711 rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39\/2*h**2 - 43\/2*h**3 - 15\/2*h**4 + 1 - 9\/2*h = 0. Calculate h.\nAnswer: -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 10) in base 9?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4\/30 + y**3\/5 + 2*y**2\/5 - 29*y + 15. Let p(a) be the first derivative of r(a). Suppose p(f) = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 - -0.166. Sort -3\/2, q, 0.3 in decreasing order.\nAnswer: 0.3, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/21328?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + y - 9. Let j(d) = -2*d**2 + 4. Give -2*h(b) - 5*j(b).\nAnswer: 2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 + 4 = 4*m, 2*m - 2 = 0. Suppose q*w = w + 24. Suppose w*c - 2*c - 32 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7834907 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23596 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1127 - -2253\/2. Let d = 2.3 - 2. Let i = d + -0.1. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (12 - 16) + 14 - 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 1)*(2*q - 3*q - 3*q)*(3*q + 0 + 0).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -20*i**3 + 196*i**2 + 40*i - 14. Calculate b(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(1008)*-2)\/(sqrt(63)\/(sqrt(35)\/sqrt(5) + sqrt(7) + sqrt(7))).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*d**3*u**5 + 2*d**3 + 2*d**2*u**2 - 92*u**5 + 6583*u**2 + 1 wrt u.\nAnswer: -6180*d**3*u**2 - 5520*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*k - 8, -16*k + 4 = -12*k + 4*n. Sort k, -50, -6, 5 in decreasing order.\nAnswer: 5, k, -6, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**2 - 5*b - 2. Suppose 25*h - 29*h - 16 = 0, -2*r - 3*h = 30. Let l(m) = -15*m**2 + 9*m + 3. What is r*v(f) - 5*l(f)?\nAnswer: 3*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1601658114 and -226.\nAnswer: -1601658340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -6. Suppose 0 = -2*k - 2*k + 20, h*k - 15 = 5*u. Solve -u = t - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 3:34 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7294*r + 1428*r - 22*r.\nAnswer: 8700*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 17. Suppose 0 = -3*q + p + 25, -3*q + p - 2*p = -29. What is the remainder when x(0) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4254, -8545, -12852, -17181, -21538, -25929, -30360?\nAnswer: -34837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79 in -0.07, 1, -135?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143514712 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0*d + 5*d + 0*d**2 + 5*d**2. Let z = 6 + 19. Let n(k) = 4*k + 26 + z + 4*k**2 - 51. Determine 4*n(b) - 3*v(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = 0. Which is bigger: p or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 857798.16 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 337\/6 - (-11)\/198*-3. Let b = 71 - w. Solve -b = 3*c - 0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**4 + h**2 + 7. Suppose -10*x + x - 45 = 0. Let b(t) = -2*t**4 + 6. Let p be -1*(-1 + 1 - 4). Let g(u) = p*c(u) + x*b(u). Factor g(z).\nAnswer: -2*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6\/5)\/(h*h*h**(1\/11))*h**(-6\/5)*(h*h*h*h**(-6)\/h)\/h assuming h is positive.\nAnswer: h**(-522\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 17416.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 5*z - 4. Let d(f) be the second derivative of -f**4\/2 + 3*f**3\/2 + 7*f**2\/2 + 2536*f + 2. Calculate 11*b(o) + 6*d(o).\nAnswer: -3*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14662*q**2 - 75*q - 14661*q**2 - 5 + 3 to l*q + b*q**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 195\/4. Let v = -3.8 + -0.2. Let t be 8\/(-3) - (-6)\/(-18). Which is the nearest to u? (a) t (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)*s)**(3\/5) assuming s is positive.\nAnswer: s**(12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*d - 57, 2*d + 60 = 4*x - 0*x. Suppose -4*t + x*t = 207. Solve -3*q + 0*y + 4*y - t = 0, -3*y + 12 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 60. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let h = 795 + -753. Let k(a) = -2*a + h*a + 67*a - 2*a. Calculate z(k(n)).\nAnswer: -105*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*w = -2043 - 2597 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 215 + (13 + -18 - 3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 5)*(-6)\/(-2). Solve 5*u + g = -7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1362 and 50\/1589?\nAnswer: 9534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(-2))\/z))\/(z*z\/(z\/z**11)))\/(z*z**(2\/25)\/z*z**(-4)) assuming z is positive.\nAnswer: z**(-227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*r - 23*r**2 + 56*r + 43*r - 70*r + 27*r.\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -68 - 102274*q - 4 + 4*q**2 + 102302*q = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377766?\nAnswer: 2, 13, 19, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11852 + -11851.5. Put z, 4\/7, -0.2, 0.1, -0.1 in decreasing order.\nAnswer: 4\/7, z, 0.1, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**5 + m**4 - 703621*m**3 - 143813*m**2 + m + 3 wrt m.\nAnswer: 60*m**2 + 24*m - 4221726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2293 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*h**3 - 106099*h**3 + 31212*h**3.\nAnswer: -74682*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x**2 - 4*x - 1. Let i be 38\/(-8) - (-2)\/(-8). Let m be q(i). Let y be (-4)\/m - 184\/(-12). Solve -10 = 4*c + 3*t, -5*c - y = -t + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993316251 divided by -1?\nAnswer: -993316251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, l: 6, z: 1, d: 2, w: 1}. Give prob of picking 2 t and 1 w.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k = 45*k + 53*k + 121 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4 + g**3 + 6 - 4*g + 3*g**3. Suppose -6*m = -9*m + 1443. Let r(y) = -1 - 5*y + 3 + 486*y**3 - m*y**3. Determine -2*r(h) + 3*z(h).\nAnswer: 2*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 150432114 to the power of 1\/3, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*d**3 - 683*d**2 + 804*d**2 - 144*d**3 wrt d.\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p + p)*(-924*p - 898*p + 1927*p)*(3*p - 6*p + 2*p) + 5*p - 2*p**3 - 5*p.\nAnswer: -212*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 94*i**2 + 1. Suppose 1 = 4*k - c, 30 - 8 = -2*k - 4*c. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000024468 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 4.04 (c) 4 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {j: 1, w: 1, l: 3, f: 2, d: 3, v: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**5 + 21*a**4 + 27*a**3 - 81*a**2 - 162*a = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 14*c**2 + 12*c**2 - 32*c**2. Let t(s) = -6*s. Determine t(n(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 + 5. Let c = 1 + -2. Let g(y) = y**2 - 1. Suppose 3*b + 2 + 13 = 0. Let l(r) = b*g(r) + c*n(r). Let x(u) = -2*u**2. What is x(l(v))?\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 2*o**2 + 0*o + (-o + o + o)*(-1 - 2*o + 1) + o**2 - 3*o**2 + 0*o**2 + 275*o**2 - 696*o**2 - 334*o**2.\nAnswer: -761*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34458 + 34555. Let d(w) = -w. Let r be d(-4). Calculate the remainder when l is divided by (r\/2)\/((-2)\/(-25)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15443 = -2*y - 17045, -y - 8122 = -x. Is x a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 4 = -8*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*k*s**4 + 271380*k*s + 2*s**3 - 11304*s**2 wrt s?\nAnswer: -120*k*s**2 + 12*s - 22608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w + 59*w = -644 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -850*z**2 - 6*z + 20. Let a(o) = -849*o**2 - 5*o + 16. Give -5*a(i) + 4*m(i).\nAnswer: 845*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 163 - 531. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9051309 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5b (base 13) to base 15\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19220232 divided by -964?\nAnswer: 19938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5331*n + 5318*n + 169 = 0. Solve -3*d + 60 = -9*b, -3*b - n*d + 11*d = 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74 and 10985.\nAnswer: 11059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n - 1. Let j(z) = 12 - 87*z**2 + 28 - 53 - 12*z + 18. Let c = 1 - 2. Let b(p) = c*j(p) - 6*g(p). Solve b(q) = 0 for q.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 5 + 5 + (-g + g - g)*(97*g + 130 - 130).\nAnswer: -95*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 a, and 1 v when four letters picked without replacement from watcaaaawtwtwvaa.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2 - 0. Suppose -7*k + 14 = -0*k. Let m(g) = -214*g + 430*g - 217*g - 6*g**k. Give m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n*(n\/(n\/n**0))\/n)\/n)\/n*n)\/n**(-1))\/(n\/n**(2\/5)*n)**(-7) assuming n is positive.\nAnswer: n**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109568?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285 - 137*x - 285 to the form f + r*x and give r.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139886188*t**2 + 7209122*t - 3 wrt t?\nAnswer: -279772376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 0.06491074.\nAnswer: -0.33508926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -1.8026?\nAnswer: -0.108156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 190*u - 203. Let r be g(91). Suppose 5*c - d = -3, -4 = 3*c - d - 1. Suppose c = 4*w - r + 213. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. What is the closest to 1\/4 in x, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 + 4\/3*i**3 + 0*i**5 - 1\/30*i**6 - 7*i**2 + 1\/2*i**4 + 0*i. Factor n(l).\nAnswer: -4*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v - 262 = -16 + 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Find the second derivative of 2*h + h**4 - 4*h + k*h - h wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 37*r + 237. Let w be s(-6). Solve 10*d + w = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 15 = n, -4*j + 5*n = 6*n + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4047*t + 338225 + 123133 = 0 for t.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 0, 6\/5, 1\/2, 7.8, 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - f - 9. Let o be b(-10). Let m = o + -139. Is 34 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 - 28.3. Let z = w + 24.5. What is the third biggest value in -0.01, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 10*x**2 + 23*x - 36. Suppose -9 = -5*a + 2*a, -2 = -d + 3*a. What is the hundreds digit of p(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -1, 9, 23, 41, 63, 89?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 622911.2ng in kilograms?\nAnswer: 0.0000006229112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, 0, -4, -59 in decreasing order.\nAnswer: 3, 0.1, 0, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 12\/(-9))*-3. Let o be (7 - 5)\/(-2*s). Let m be (601\/(-201) - -3)\/((-4)\/12). Is o at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344173 to the power of 1\/2, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 155*f**2 - 90*f - 91. Let w be k(-1). What is the greatest common factor of w and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.36. Let o = u + -0.38908. Round o to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688833697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(-6*(sqrt(76) + sqrt(76) + 1 + -1 + sqrt(76)) - ((sqrt(76) - 2*sqrt(76)*6 - sqrt(76)) + -5))**2*5.\nAnswer: -276100 + 12000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144996, -289998, -434986, -579954, -724896, -869806?\nAnswer: -1014678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1328*z + 5. Let q(h) = 1331*h + 4. Calculate -4*j(y) + 5*q(y).\nAnswer: 1343*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993126991.\nAnswer: 993126991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4245\/4 - 1) + 100\/(-80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 13*k**2 + 7*k + 4. Let q be f(7). Suppose -3*y + 514 = q. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131 and 9.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + -0.23. Let j = -2.8 - -3. Which is the closest to 0.1? (a) 5 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20671*c**2 - 41351*c**2 + 20663*c**2. Let w(d) = -358*d**2. Calculate w(l(h)).\nAnswer: -103462*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6240)\/(-4225) + (-196)\/182. Determine d so that -x*d**2 + 16\/5 - 14\/5*d = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxoqodhdxbdb. What is prob of picking 2 x and 1 d?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 10*a + 7. What is k(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 31, 21, -7, -59?\n\"Answer: -r**3 + 9*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 3*v**2 + 2*v - 1. Let d be 9\/((-27)\/(-24))*-1. Let z(l) = -2*l - 13. Let q be z(d). Suppose 2*k = 3*y - 2*k - 15, -q*k = y + 8. What is h(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 1146*n - 117652.\nAnswer: -2*(n + 134)*(n + 439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 9*w - 12. Suppose f + 3*f - 2*a - 450 = 0, -w*a = -3*f + 330. Suppose 93 = k + 5*r, -2*r - 378 = -5*k + f. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80 + r**4 - 6*r**2 - 4*r**5 + 78 - 15*r**5 wrt r?\nAnswer: -1140*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3333*t = -257*t + 301*t - 4436*t + 316725 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002872247 rounded to six decimal places?\nAnswer: -0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 100 = -0*m. Which is smaller: 19 or m?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1640 and 42230.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*y**3\/4 + 15*y**2\/4 - 11*y\/4 - 15\/4.\nAnswer: (y - 1)*(y + 1)*(11*y + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 2. Let b(t) = 8*t**2 + 8*t - 8. Determine b(l) + 4*y(l).\nAnswer: 8*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -243921600589655?\nAnswer: -243921600589655.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c*(c*(((c\/(c**(-3\/2)*c))\/c)\/c)\/c*c)\/c)\/c*c\/(c\/(c\/c**(-4\/13))*c))**(-13\/2) assuming c is positive.\nAnswer: c**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 11*y**2 - 14*y - 1. What is the units digit of w(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 12:09 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.3, 1.6, 1 in ascending order.\nAnswer: -0.3, -1\/4, 1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -131*o - 1183. Let v be d(-9). Let m = -13 + 5. Put v, 0, m in increasing order.\nAnswer: m, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 46?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 5*y + 2*v, -261 = -3*y + v - 4*v. Let f = -66 + y. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.084\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3\/7 + 132*g**2\/7 + 11988*g\/7 - 559872\/7 = 0.\nAnswer: -64, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348362?\nAnswer: 2, 3, 173, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -3, 1146 in descending order.\nAnswer: 1146, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-30)\/48)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 31551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, 0.4, -7, -0.1, -2 in descending order.\nAnswer: 0.4, -0.1, -2, -8\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - -5. Let s(l) = 22*l + 66. Let c be s(9). What is the greatest common divisor of c and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -104*y**2 - 189. Let m be ((-5)\/(-2))\/((-4)\/(-8)). Let p(b) = -208*b**2 - 377. Let g(w) = m*u(w) - 2*p(w). Differentiate g(z) with respect to z.\nAnswer: -208*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8\/39 + -2\/117. Let r = -20 - -20.09. Let s = 4.09 - r. What is the biggest value in 5, s, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 2*u - 13. Let l = -14 + 5. Let h = l - -28. Calculate the remainder when h is divided by z(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - -7513?\nAnswer: 7495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26764, 50195, 73628, 97063, 120500?\nAnswer: 143939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/20 - 2*t**5\/15 - 8*t**2. Find the third derivative of z(g) wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1729*v + 29349. What is y(-17)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 5, -3, -1 in increasing order.\nAnswer: -130, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 - 4*9\/12. Suppose -4*j = -3*p - t, j + 3*p = -3*j + 29. Let n be 7 - (3 + (-35)\/j). Calculate the greatest common factor of 88 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:26 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -19*f**3 - 2*f**2 - 2*f - 2. Let l(z) be the first derivative of -19*z**4\/2 - 5*z**3\/3 - 5*z**2\/2 - 5*z + 401. Determine 2*l(t) - 5*w(t).\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131320 - -31010?\nAnswer: 222330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -0.001 (c) -1\/9 (d) -0.3 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197829233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -886 divided by -2\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -43?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uepeuzpplpzpeepppel. Give prob of sequence uu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 2 k when four letters picked without replacement from {i: 3, k: 2, r: 3, m: 1, u: 1, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - 56 - (-4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00375 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.82 + -0.18. Let o = -1.1 + -7.9. Let d = c - o. Sort d, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*t**2 - 36*t**2 - 292*t**2 + 2 + 396*t**2.\nAnswer: -42*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1710?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -446*n**2 + 8*n**3 - 10*n + 446*n**2 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/6*(12834\/496)\/23?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + a + 3*a - 806*a**2 + 807*a**2 - a**3 as z*a**3 + c*a**2 + f + x*a and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192409821.\nAnswer: 3, 43, 241, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.2945 rounded to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23255, -93096, -209497, -372458, -581979, -838060, -1140701?\n\"Answer: -23280*r**2 - r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/12 - 5*l**3\/6 - 13*l. Calculate z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1829 and 465?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 11) to base 16.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -607, -608, -609, -610?\n\"Answer: -g - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 830 divide 6008141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 37 - 43 = 0. Suppose 2*a - 102 = 5*a. Let d = f - a. What is the least common multiple of d and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:22 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4442877 and 354?\nAnswer: 8885754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrqtnq. What is prob of sequence nq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z**2 + 12*z - 12*z to the form n + r*z + u*z**2 and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3211411 - 3?\nAnswer: 3211404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -101884, -101875, -101854, -101815, -101752, -101659, -101530?\n\"Answer: l**3 + 2*l - 101887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 2376.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128133.1 - 128125.09999. Let f = y - 8. Round f to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.23318 and -663?\nAnswer: 663.23318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-64)\/(-24))*-12. Solve p + 5 = -p + d, -3*p = w*d - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380835 to the power of 1\/2, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 799 - 789. Suppose -i*l = -0*l - 40. Solve -2*d = -0*f + l*f + 14, f = -d - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 5)*(1 + 4 - 4)*(2*y - y + 0*y)*(-35956 - 34244 + 10001) to the form g*y + i and give g.\nAnswer: -120398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 divided by -11125.\nAnswer: -333\/11125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = -4. Suppose -u*s - 2*s - 420 = 0. What is s rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 0 + 3\/20*v**5 - 16*v - 1\/2*v**3 + 1\/10*v**6 + 3*v**2 - 3\/4*v**4. Factor j(n).\nAnswer: 3*(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5*w - 1 + 7)*(3*w**2 - w**2 - w**2) + (4 - 2 - 3)*(-w**3 - 2*w**3 - w**3) to the form h*w + q*w**3 + f*w**2 + o and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y = 65. Suppose b - 4 = y. Suppose 0*n + g + 16 = 3*n, -n - 2*g + b = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 1190*m + 104934. Determine t(-96).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -336*s + 1. Let a(b) = 2*b + 4. Let o be a(-3). Is t(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18195 and 5690.\nAnswer: 20705910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210 + -209. Solve b = -p + 6 - 4, p = d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*q + 63*q**2 - 126*q**2 + 59*q**2 + (2*q - q + q)*(-2*q - 3*q + 3*q) to o + x*q + k*q**2 and give x.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 - 2) + (167 - 123). What is the highest common factor of j and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -20. Does m = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*q + 90*q + 332*q - 2*q + 5*q + 3*q + (-1 + 0 + 3)*(0 - 2*q + 0).\nAnswer: 433*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2) - (-6016)\/(-768)) + 8\/6. Let c(s) = -7*s**2 + 8*s + 6. Let h(o) = 8*o**2 - 9*o - 5. Determine j*c(v) - 6*h(v).\nAnswer: v**2 - 2*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqq when three letters picked without replacement from {n: 4, q: 3, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommomrw. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Let n(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 5*a**2\/2 + 4*a - 11. Calculate n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 59*v - 20*v - 23*v. Let q(g) = -2*g**2. Give q(f(n)).\nAnswer: -512*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 2*c - 3. Let f be s(0). Let a = 5 + f. Let g(n) = -2*n - 4. Let i be g(-3). Solve 4*k + 3*j - 8 = -a*j, 0 = -3*k + i*j - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 45 = 3*m. Let s(x) = 9*x**2 - 2. What is the remainder when s(-2) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j*j**2*j*(j**5\/j*j)\/(j\/(j\/j**6)*j))\/(j*j**(2\/29)\/j*j**(-4\/3))**(-26) assuming j is positive.\nAnswer: j**(-3121\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 6) + 1 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 9 = -2*s, 12*u - 17 = s + 15*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/3 - 19*h**2 + 80*h + 56. Solve z(p) = 0.\nAnswer: -40, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((12\/4)\/9)\/((-1)\/3). Let w(p) = 8*p - 3. Suppose -i = t - 3, 5*i - 5*t - 43 = 2. Let r(k) = -2*k + 2*k - k + 2*k. Determine i*r(m) + j*w(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283\/4362032 - 179976146509\/13674970320. Let x = 6\/1045 - r. What is the common denominator of x and 14\/(-12)*(-142)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxcjvzf. Give prob of picking 1 f and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.5 + -0.5. Let z = 0.8 - -10.2. Let m = t - z. Which is the nearest to -3? (a) -2 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d96a (base 16) to base 15\nAnswer: 25d99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -287, -478, -669, -860?\n\"Answer: -191*z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 15*z**2 - 13*z + 17. Let i be y(-14). Suppose 5*b - 211 = -2*v, 1 = -i*v - 5. Calculate the remainder when b is divided by -2*(-3 + (-51)\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 224?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 17) + -1328 + 1440.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:50 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 335372, 1, -26, -3, 2, -4 in descending order.\nAnswer: 335372, 2, 1, -1, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 = -12*q + 8*q. Find the third derivative of 19 - 460*r + q*r + 2*r**2 + 230*r - 31*r**3 wrt r.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 0*s**2 - s**2 + 0 + 4. Let t be d(-4). Suppose -2*g + 7*g - 20 = 4*o, o + 5 = 0. Sort -5, t, g in decreasing order.\nAnswer: t, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1697014 - -0.1?\nAnswer: -1697013.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 11) to base 4.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose -2*d - 11 + 5 = z, 3*q = 2*d - 9. Let c(p) = -7*p - 1. Let u be c(1). Is q less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 63. Suppose -13 = l + p - a, 2*p = -3*l + 89. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -407*m - 818. Let t be r(-2). Let q = 0.1 - 0.2. What is the biggest value in q, t, -0.5, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 130527151409 and -1.\nAnswer: 130527151408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 7, n: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 848 and 37021772.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -18631*g + 74536. Calculate x(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 13186?\nAnswer: 13186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 29*z - 1441. Let h be m(50). Let l(d) = -d**3 + 7*d**2 + 14*d - 13. What is l(h)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 19627, -5 in increasing order.\nAnswer: -5, 23, 19627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -126*u - 360. Is q(-11) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 10*x - 79\/2*x**2 + 0*x**3 - 2 - 23\/3*x**4. What is the first derivative of u(d) wrt d?\nAnswer: -184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85 + -37966d?\nAnswer: -3795e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 8*s - 28 = 4*k, 3*s - 2*k = -6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -328762*n + 328698*n + 1984 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22735 - 10538. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127*p**3 + 22*p**3 + 11*p**3 + (-3*p + p + 0*p)*(p**2 + 4*p - 4*p) + 5*p**3 - 3*p**3 + 0*p**3.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -22. What is the remainder when 70 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58135525*w**3*z + 9245*w**3 - 2*w**2 + 4*w + 129 wrt z?\nAnswer: 58135525*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2238, 17, 6 in decreasing order.\nAnswer: 17, 6, 5, 0, -2238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)*-1*6. Let o = -2562 - -294628\/115. Let t = o - -236\/345. What is the third smallest value in t, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.076 + -0.076096. Round q to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/4)\/((-61)\/(-26352)). Suppose 22*j - l + 126 = 0. Solve 6*k + 21 = -j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022886333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8521*u**3 - 8117*u**3 - 15 + 16*u**2 - 16*u**2.\nAnswer: 404*u**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from oee.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3 = -3*p + 28, p = w - 5. Solve -5 = -w*q - 2*t, 5*t - 3 = q - 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 18*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**4 + 3*m**2 - 450*m + 2.\nAnswer: -48*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 25*n**2 + 11*n - 18. Let u be q(2). Let s = -51 + u. What is the remainder when 105 is divided by s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*a + 7667 = -12205, 3*a = 6. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/50*-1 + (-120)\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108166 and 2984.\nAnswer: 111150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let d be l(4). Suppose -2*u + 144 = u. What are the prime factors of (4\/(-6))\/(d\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58084 is divided by 17654?\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.886376 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -4.867?\nAnswer: -4.867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 4 - 4)*(i**3 + 0*i**3 + i**3) + (i**3 + 2*i**2 - 2*i**2)*(-3*i**2 - i**2 + i**2) - i**5 + 0 + 0.\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 260*i**2 + 12. Let w(n) = -n**2. What is p(w(y))?\nAnswer: 260*y**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5 + 13. Let i = v + 11. Solve o = -i*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**2. Let c(l) = 934*l. Give h(c(b)).\nAnswer: 3489424*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/11 - 48\/22. Let d(k) = -k**2 - k. Let c(i) = -3*i**2 - 3*i - 1. Let o(g) = s*c(g) + 5*d(g). Give o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0 = 15. Let h(p) = 3*p**3 - k*p**2 + 2*p**3 - 6*p**3 + 0 + 5. Let w be h(-5). Solve 4*g + 11 = 3*i, -w*g = 5*i - 10*i + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243296 times -0.04\nAnswer: -9731.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 629281 and -4.\nAnswer: 629277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2114 divide 1925854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a**2 + 16*a. Give z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 2:31 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (518\/(-21))\/((-1)\/(0 + 75))?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46038 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + 3\/7. Which is the closest to -5? (a) 3 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -71*z + 594. What is c(11)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036*-2101.\nAnswer: 75.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -83 (b) -4 (c) -3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 52461.\nAnswer: 3357504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 201 = -171 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**2 + 27*f. Let s(y) = 6*y**2 + 13*y. Determine -3*n(o) + 5*s(o).\nAnswer: -3*o**2 - 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)*1*0. Suppose 3*i + 10 = -2*i. Put -3, i, t in decreasing order.\nAnswer: t, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(495))\/(sqrt(5) + 5*(sqrt(45) - sqrt(5))).\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/((-442)\/(-17))*-1*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 2, -1\/2, 2\/7, 2.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 3*l, -5*l + 4*l = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14856389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 - 16*c**3 + 3*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 - 9*t**2 + 5*t + 1. Suppose -2*k + 1 = s, -3*s + 13 + 0 = k. Let m(y) = -7*y**3 - 10*y**2 + 6*y + 1. Determine s*m(u) - 6*q(u).\nAnswer: u**3 + 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 20*27\/135?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -25*n - 107*n - n**2 - n**3 + 133*n + 19. Give m(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c - 2. Let n be x(-2). Let w(j) be the third derivative of j**5\/120 - 7*j**3\/6 + 26*j**2. Let p(f) be the first derivative of w(f). Give p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 + 4*a + 15. Let h(r) = -27*r**2 + 21*r + 75. Let y be 1*5*((-64)\/40 + 2). Let l(j) = y*h(j) - 11*z(j). Factor l(t).\nAnswer: (t - 5)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949*z + 17691 - 63951 = -593*z for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 43. Solve 3*w + 5*x = g - 18, -25 = 5*w + 2*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108a (base 11) in base 15?\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 9, -2, 0 in ascending order.\nAnswer: -2, 0, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 10. Let f(v) = v**2 - 6*v - 27. Let l be f(9). Let j be q(l). Factor j*o**4 + 0*o**2 - 7*o**4 - 3*o**2.\nAnswer: 3*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 10:18 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-58)\/8120)\/(((-6)\/(-8))\/(-3)))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4934\/(-290) + 17)\/((-24)\/40)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 4872*f**2 + 3956064*f + 1070774656 = 0.\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/1385 + 11066\/9695. Solve -8\/7 - s*g - 2\/7*g**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/7 + 372*o\/7 - 7776\/7 = 0.\nAnswer: 24, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 15279*i - 30553*i + 15274*i. Let l(w) be the third derivative of -11*w**4\/3 + w**2. What is l(y(j))?\nAnswer: -176*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)*2\/(-4). Let j = 1229 - 1224. Factor -1\/2*c**4 - c**3 + 1\/2*c**j + 0*c**2 + 0 + m*c.\nAnswer: c**3*(c - 2)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 10*b - 12 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(2856\/85))\/((6\/(-4))\/1)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/13 + 429314*b\/13 - 858620\/13 = 0. What is b?\nAnswer: 2, 214655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488 (base 10) in base 4?\nAnswer: -113100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14032 by -420.\nAnswer: -3508\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s - 30*d + 16 + 24 = 29*s, 3*s + d - 3*d - 7 + 31 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = -4*o + 3*o, 0 = -4*o - s + 75. Calculate the greatest common divisor of 63 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 10*v**2 - 14*v - 17. Suppose 138*h = 128*h - 80. What is q(h)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*r**2*y**4 + 5*r**2*y**2 - 162*r**2 - r*y**4 + 2*r*y**2 - 2*r*y + 1271*y**4 - 2*y**2 wrt y.\nAnswer: 1488*r**2*y - 24*r*y + 30504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 7*x**6\/6 - 10*x**5 - 10*x**3\/3 - 19*x**2\/2 - 444. What is the third derivative of d(f) wrt f?\nAnswer: 420*f**2 - 1200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 43*p**2 - 145*p + 23. What is the tens digit of s(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3092*l - 2326 = 1929*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.03 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(2\/63))**(-14)\/(((n**4\/n)\/n*n**2)\/(n*n**6*n*n*n**(1\/4)*n)) assuming n is positive.\nAnswer: n**(209\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m - o + 9, 4*m - 3*o - 5 = 0. Let n be 4\/10 - 13\/(-5). Suppose -r = 5*y + n, 3*r + 3*y + m*y = 21. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Let n(q) = 5*q - q + q. Determine x(n(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + y - 21 = -12*i, 3*i + y - 16 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 733598304 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2074 - 1284. Suppose -o*a = -787*a + 81. Is a not equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-8))\/((-6)\/(-10)). Let o = 11 + -22. Let p = 10 + o. What is the smallest value in p, -5\/4, v?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.102 * 565.\nAnswer: 57.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -14. Let q be 24\/9 - 2\/i. Find the second derivative of 5*c**3 + 5*c**5 - 5*c**q - 4*c wrt c.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2474917*u + 2474923*u - 4949832*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589689013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m*q**3 - 8*m*q + 538*m + q wrt q.\nAnswer: 3*m*q**2 - 8*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1293, -1327, -1363, -1401?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -43*a**2. Let o(c) = 58 + 147119*c + 147126*c - 294244*c. Calculate o(w(s)).\nAnswer: -43*s**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 841?\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 10*n**3\/3 - 2. Let y be s(1). Suppose -x = 4*x - y. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(9\/5)\/y*(y\/(y*y**16*y*y))\/y*y)\/(y**9*y*y)**4 assuming y is positive.\nAnswer: y**(-306\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Let h be r(5). Suppose 0 = 4*v - 4*x - x - 36, -v - 4*x + 9 = 0. Let w = v + h. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 246\/21 - 4\/(-14). Let w = 21 - q. What is the highest common divisor of 45 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or -0.966?\nAnswer: -0.966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 - r**3 + 3*r**3 + r**3 + 2*r**3 - r**3 + r**3 + 3*r**3 - 6*r**3 - 146*r**3 - 119*r**3 + 168*r**3 + (-2*r**2 + 0 + 0)*(-3*r + 5*r - r).\nAnswer: -97*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 83, -1\/4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -18208, -91 in decreasing order.\nAnswer: -2, -5, -91, -18208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - -18) + 5 + (-5 - 0).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 - 350\/(-42). Let c(v) = -3*v - 29. Let y be c(-9). Let x be 14 - (y + 2 + -2). What is the highest common divisor of x and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3 = -2*b, 3*b - 101 = -3*v - 98 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555 (base 10) to base 14.\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000286606733 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24.023763 months?\nAnswer: 0.00200198025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/60 - 3*t**4\/2 - 54*t**3 - t**2 - 37*t. Let l(w) = 0. Calculate w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/977? (a) 2 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 + 2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g. Let o(d) = -d + d - 10*d + 20*d. Let w(y) = y. Let t(f) = o(f) - 8*w(f). Calculate q(t(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 384 = -4*l + s, l = -2*s + 86. Suppose l - 58 = 12*g. Put 2, 0, -8, g in descending order.\nAnswer: g, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 0.28 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 3*c**3\/2 + c**2 + 8*c. Let z be t(1). Which is smaller: z or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 - -87. Let q = -269.8 + u. Which is the third smallest value? (a) q (b) -3 (c) 1\/10 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47066 and 4545?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**5 + 60*c**4 + 680*c**3 + 2240*c**2 + 3120*c + 1600.\nAnswer: -5*(c - 20)*(c + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45042578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -3\/2*q**2 + 1\/12*q**4 + 0 + 7*q - 1\/3*q**3. Suppose -11 = -4*x + 1. Give i(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -b - 4*b. Let f = -12 - b. Solve 4 = 2*w + 2*a, f = -5*w - 0*a + 3*a - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1538383 and 699265.\nAnswer: 7691915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -r + 127. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.11 and -3.366.\nAnswer: -111.44826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494 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 y be 0\/(5\/((-10)\/(-4))). Let b = y - -10. What is the highest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*x + 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242 - -377. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9750294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/32 (b) 37\/27 (c) -1\/6 (d) 29 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100560*g**3*j**3 + 2*g**2*j**3 + 321*g**2*j**2 - 3*g*j**3 - j wrt g.\nAnswer: -603360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -4106\nAnswer: -172452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000058635 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 845160 and 549354.\nAnswer: 10987080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 493162 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**2. Let l(s) = -741*s + 732*s - 5 + 5. Determine z(l(u)).\nAnswer: 648*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37954.11ug?\nAnswer: 0.00003795411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*x + 42. Calculate the remainder when 21 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 2, -2 in descending order.\nAnswer: 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -290*m**2 + m. Let x be w(-1). Let k = -116 - x. What is the greatest common factor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*q**3 - 22466369*q - 17848568 wrt q?\nAnswer: 6*q**2 - 22466369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1189137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 3*b**2 - 2*b. Suppose -l - 2*l = -12. Suppose 0 = l*p + 6 + 6. Calculate c(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14979*c**5 + 8946*c + 69*c**3 - 213*c**3 + 351*c**3 - 207*c**3 wrt c?\nAnswer: -299580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/6)\/(2\/(-6)). Let h be (-2)\/24 - p\/(-15). What is the biggest value in -3, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2016 and 725120?\nAnswer: 45682560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 3 (c) 0.1 (d) 20 (e) -0.51 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.74008 + -1.25887. What is q rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8479 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/(-52)*(-5)\/(105\/6)*(-366)\/1159\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 2*b - 118. Let l be 2\/1 - 0\/1. Let r be (-3)\/l + 15\/b. Solve 0*i - 3*i = r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*l**2 + 37*l**2 + 30*l**3 + 11*l**3 - 4*l**2 - 14*l**2 wrt l.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102864526.\nAnswer: 2, 51432263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18507, 27857, 37207?\nAnswer: 46557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + 2*u)*(2 + 2 - 2) - 2*u - 5*u + 5*u + u + 0*u + 67 - 55.\nAnswer: -3*u + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.37 - 4.07. Let w = 25.84 - r. What is w rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(792\/(-3))*-4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 16 + 1 - (-1 - -142 - (92 - 104)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l + 179. Determine d(15).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 27*w**3 - 68*w**2 + 4*w - 4. Let c(t) = 8*t**3 - 23*t**2 + t - 1. What is -2*a(l) + 7*c(l)?\nAnswer: 2*l**3 - 25*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3723828.\nAnswer: 2, 3, 37, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -237, -947, -2125, -3771?\n\"Answer: -234*w**2 - 8*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 424331710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + b**2 + 3*b - 3. Determine l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16155 - -31455. What is the greatest common divisor of 150 and q?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 a when four letters picked without replacement from hahhhhhhahhhh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 3, e: 4, v: 12}. What is prob of picking 1 a and 2 i?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*b + 414*b = 2127 - 5571 for b.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 8*g**2 - 12*g + 2. Let m be (-9)\/18 - 15\/12*-2. Determine r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfxxxxyfyww. Give prob of picking 1 f, 1 x, and 1 y.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 324. Let f = v + -125. Suppose 5*j = -2*k + 6*k - 86, -3*j = 2*k - 10. What is the remainder when f is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohh when three letters picked without replacement from {h: 2, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.7 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 11:13 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 70*o + 376 = 0. Suppose 131 + 165 = o*s. What is the highest common factor of s and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000421481024 rounded to five decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8848 + -9406.9. Round w to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30))\/(243\/5832).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - q - 11 = 0, -7*a - q - 19 = -2*a. Let g be (a\/(-10))\/((-7)\/(-70)). Solve 3*x - 1 = -g*p + 2, 3*p + 4*x + 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 7*h - h)*(-4 + 2 + 0) - 4 + 5 - 3 - 2*h.\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12299*c - 30232.\nAnswer: 12299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 39*k**2 - 88*k - 249. What is n(-41)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {n: 1, o: 3, i: 1, f: 10, t: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfp when three letters picked without replacement from ppyyiflx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r - 8*r - 4*r - r.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 384*r**2 + 6678*r - 4560. Give q(208).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 4*g - 6*g + (2 + 0 - 1)*(-5*g + 7*g + 9*g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 731*c + 2766. What is the units digit of t(44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*s = -62*s - 1475*s + 158954 for s.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1167\/((-190)\/20 - -8). Suppose -4*n = 2*j + 3116, -2*j + 324 = 3*n + 2663. Is n > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9897, -19143, -27069, -33015, -36321, -36327, -32373, -23799?\nAnswer: -9945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/51 and 35\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -133\/4. Let m = 28022.9 - 28023. What is the closest to -2\/3 in -1\/4, m, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0554 - 0.0554. Let i be (-2)\/7 + (5 - 5). Let v be ((-3)\/4)\/((-693)\/168). What is the third biggest value in 1\/9, i, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 3*w - 14. Let g be v(-6). Let i = g - 32. Solve -3*y = y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-3 - -60) - 17.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 19*n + 6, -d - 5 = 5*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let l(o) = -22*o. Let a(c) = -l(c) + 10*u(c). Differentiate a(j) with respect to j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3 - 4650*u**2 - 55486*u + 60138 = 0.\nAnswer: -2313, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10197 and 11039643?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*(sqrt(2) - (sqrt(2) + -4*sqrt(2))))**2 + -2*(3*sqrt(24))\/sqrt(12))*-3.\nAnswer: -873 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-12)\/32*12\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(2*((-5)\/(-2010)*-9)\/3).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -3\/5*p**5 + 0*p + 0*p**4 + 5\/3*p**3 + 0*p**2 - 4. Find the third derivative of s(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 668541 by -29067.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -37, -26, 25, 134, 319, 598?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2216 and 46.\nAnswer: 50968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*d = -4*i - 65, 7*i - 105 + 110 = -6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1895*n**2 - 6013 + 6013 to the form d*n + x*n**2 + p and give x.\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 8*y**2 + 4*y + 3. Let s = -74 + 87. Calculate the remainder when b(-6) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 86*l - 221*l + 51*l - 4250 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 1, g: 2, h: 7}. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 3*t + 1. Let w be m(5). Suppose w*s = -s + 408. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -106*m - 11844. Let f be k(-100). Round f to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94706 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 - (4 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -728 divided by -4?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/27 and -4 + 4 + 2 + 29\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t = -g + 29, -t = -g - 7. Calculate the smallest common multiple of t and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 5*g + 4. Let d be y(3). Let v be 2 + d + 13 + 0. Let s = v - 3. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(2\/(-24)*14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**3\/6 - 2*v**2 + v - 104. Calculate u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 0*h. Suppose -5*c = -4*c - h. Sort 0, -5, c in decreasing order.\nAnswer: c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -3*n**3\/2 + 4*n**2 + n + 182. What is i(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 497671 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0 - 1\/24*w**4 - 7\/6*w**3 + 0*w + 7*w**2. Let r = 0 + -10. Give z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**6 - g**4 - g**2 + g + 1. Let v(o) = o**6 - 3*o**4 + 7*o**2 + 3*o + 3. Let n(c) = 3*l(c) - v(c). Find the third derivative of n(z) wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**3 - 2*m**2 - 1. Let k be c(2). Calculate the greatest common factor of k and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 0 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/16492265?\nAnswer: -2\/16492265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(8 - 10) - 2\/4. Suppose 4*f - 4*l = p, -f - 5*l + 24 = 2*f. What is the tens digit of (f - (-103 + -3))*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 a factor of 1245153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 283668 and 222882.\nAnswer: 3120348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2052433 is divided by 385.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 + -4 + 11 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5795 is divided by 198?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001559648327 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.1, -992, -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 37*n**6\/3 - 11*n**4\/4 + 16*n**3\/3 + 7*n**2\/2 - 481. Find the third derivative of d(g) wrt g.\nAnswer: 4440*g**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1611375, 1611215, 1611055, 1610895, 1610735, 1610575?\n\"Answer: -160*m + 1611535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + -4 + ((sqrt(539) + 1*sqrt(539) - sqrt(539)) + -2)**2 + -3 + 5).\nAnswer: -56*sqrt(11) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 5.07. Let p = 0 + 20. Let i = p + -22. Which is the biggest value? (a) i (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Suppose 0 - b = -v. Sort -1, v, 5 in increasing order.\nAnswer: -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 27*w - 2*w to q + z*w and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**5\/20 - b**4 + 2*b**3 - 5*b**2\/2 - 4*b. Let f be s(-13). Calculate the greatest common factor of f and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, -3, 4387, 3, 2 in decreasing order.\nAnswer: 4387, 3, 2, -1, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18077108 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 + (0 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32677.\nAnswer: 41, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6968256 and -1.25?\nAnswer: 8710320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7 = 5*x, 0 = -5*x + 5*f - 3*f + 3. Is x at most as big as -10\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3256 = 3*c + 6635, -c - 3297 = v. Let r be -4 - -6 - -1 - c. 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 closest to -0.12 in -3, 0.28, -2\/9, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/3*(24 - 147). What is the greatest common divisor of z and 3854?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 462*k**2 - 8713*k + 120. Determine p(132).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k. Let a(x) = -1009405*x. What is a(j(q))?\nAnswer: -10094050*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 1 - 9 = 0. Let k(t) = 7*t**2 + 4*t - 5. Let r(s) = -s**2 - s + 1. Calculate v*k(o) + 5*r(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 14*z + 2. Let y(g) = 40*g + 5. Let h(i) = 8*u(i) - 3*y(i). Give h(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 2*m - 101 = 18 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, 5, -5 in descending order.\nAnswer: 5, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 3*t**2 - 5*t + 15. Calculate x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 2 = 5*y, 2*d = -2*y. Let x = -29 + 58. What is the remainder when x is divided by 21\/2 - d\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -11 in descending order.\nAnswer: -5, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(2 + ((-1 + sqrt(1216))**2 - sqrt(1216)) + sqrt(1216)) + (2*sqrt(76)*2)\/(sqrt(4) + (sqrt(144)\/sqrt(4))\/sqrt(9)).\nAnswer: -1219 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o. Let i(l) = 57444*l. What is n(i(u))?\nAnswer: 229776*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 230304*z**2. Let b(r) = -52*r - 4. What is b(c(g))?\nAnswer: -11975808*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -63420 divided by -5\nAnswer: 12684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77417 + -462851\/6. Let n = -274 + q. Find the common denominator of 1 - (2 + 134\/(-8)) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a factor of 126861042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(104) - ((sqrt(104) - sqrt(104)*2) + sqrt(104))))\/((sqrt(24) + ((1*sqrt(120))\/sqrt(5) - sqrt(24)))\/sqrt(12)) + 0 + 1.\nAnswer: -10*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1757 + 1757 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3))**(-6)\/((i*i**(3\/4)\/i*i)\/i*i*i**(-1\/5)))\/((i**(-2\/3))**(-35))**(-2\/19) assuming i is positive.\nAnswer: i**(-1247\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*y + 23064, -14*f - 2*y + 38398 = -19*f. Are -7681 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -214, -231, -248, -265, -282?\n\"Answer: -17*x - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 24. Let j be o(8). Factor 56*q**3 - 93*q**5 - j - 24*q**4 - 63*q**2 + 97*q**5 - q**2 + 36*q.\nAnswer: 4*(q - 2)*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-22) - (-88)\/484?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 195*o**2 - 770*o**2 + 188*o**2 + 191*o**2 + 194*o**2. Let g(n) = 41*n**2 - 2*n - 1. Calculate g(t(q)).\nAnswer: 164*q**4 + 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.129 + -0.129. Let i = -0.1 - 0.1. What is the second biggest value in -4, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/2)\/(w\/((w*w*(w*w**2\/w*w)\/w)\/w))*(w\/w**(-5\/2))\/w**(-3)*(w\/w**(1\/4))**(-23)\/(w**(-1\/5)*w**(5\/2)) assuming w is positive.\nAnswer: w**(-271\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3 = 2*w, 0*w - 14 = 5*w - 4*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-10) + ((-108)\/6 - -16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 213367452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-84)\/16 - -4) + 111\/(-216) and -1\/132.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16842 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 7\/18, 2564?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.513 + -0.187. Let k = c + 88.7. Let d = -80.1 + k. What is the third biggest value in d, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -756*h - 1029*h - 29*h.\nAnswer: -1814*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 53*k**2 + 7*k - 9. Is z(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 + -96. Suppose x*y - 2 - 3 = 0. Which is the third smallest value? (a) y (b) 2 (c) -1\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 11*t**5\/60 - 5*t**4\/24 + t**3\/6 + 405*t**2. Determine i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50906917?\nAnswer: 859, 59263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/20 - 10*q**2. Let j(s) be the third derivative of s**5\/60 + s**2. Determine j(k(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 72.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 345\/112 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 49*k + 12*k + 17*k + 13*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-231)\/18))\/(-1 - -3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -38.3. Let w = -19.3 - z. Let o = -16 - w. Is -7 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -100002*u + 6. Let c(i) = -2*i - 25. Suppose 0 = 2*p + 9 + 19. Let l be c(p). Let d be a(l). Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*396\/(-1194864)*-73?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prirtigirp. What is prob of picking 1 t and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 5*x - 82. Is f(14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 7*g**2 - g + 15. Let x be z(7). Solve 2*t = -4*p - 4, -4*t + 4*p - x = 3*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -463, -818, -945, -730, -59, 1182, 3107?\n\"Answer: 19*b**3 - 488*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 127 + 1468*k**2 - 1521*k**2.\nAnswer: -53*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, 3, 5 in decreasing order.\nAnswer: 5, 3, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 8:41 PM?\nAnswer: 633","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 447 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124\/71 - 58201\/355. Let h = 162 + s. Let m = -5 + 5. Which is the nearest to m? (a) h (b) -2\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4050 and 11889900.\nAnswer: 107009100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -40. Solve 12 = -w*f - f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 62 + 51 + 13*x.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3564 + 12478. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5))**38*(y*((y**(-1\/2)*y)\/y)\/y)\/(y*y**(-3\/2)) assuming y is positive.\nAnswer: y**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a - 155 = -432 - 100 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 44 = -4*l, -5*a = 4*l + 151 + 29 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -352, -170, 140, 590, 1192, 1958, 2900?\n\"Answer: 2*k**3 + 52*k**2 + 12*k - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -1\/7*x**8 + 0*x**3 + 0*x**5 + 0*x**6 + 0 - 5\/6*x**4 + 0*x**7 + 0*x**2 - x. Find the third derivative of h(c) wrt c.\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 3:43 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/23, -3.\nAnswer: -3, 3\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 + 11*i**2\/2 - 5*i - 4. Let x = 0 + 5. Let u be y(x). What is the greatest common divisor of u and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(637) - (-1 + (-3*sqrt(637) - sqrt(637)) - sqrt(637)))*-5 + -2 + 2 + -4)**2.\nAnswer: 1680*sqrt(13) + 573316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v*v*v**(-3\/5))**(8\/5))**(16\/3) assuming v is positive.\nAnswer: v**(512\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 2*sqrt(153)*-1 + sqrt(153))\/(sqrt(225)*-1 + sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*h + 2, 15*h + 5*o = 13*h - 6. What is the least common multiple of 35 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z**2. Let i(l) = -116680*l. Calculate h(i(x)).\nAnswer: 95299556800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 706598623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3\/5 + 3121137*s**2\/5 - 6242283*s\/5 + 3121143\/5 = 0.\nAnswer: -1040381, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**3 + 58145*a**2 - 232520*a + 232500 = 0?\nAnswer: 2, 11625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4 - 3427*a**3\/2 - 16159*a**2\/2 + 12351*a - 2556 = 0. What is a?\nAnswer: -852, -6, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 99 and 428454.\nAnswer: 42416946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/8*(-2)\/3. Let f(t) = 2*t. Let w(v) = 4*v + 6. Let d(s) = 5*s + 7. Let j(k) = -6*d(k) + 7*w(k). Give y*f(q) - 2*j(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4.7. Let c = 14 - 12. Sort c, l, 2\/3 in increasing order.\nAnswer: l, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6\/(-5)) - (-377)\/(-273).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 4*m - 2 = -2*u, 257*m + 8 = 516*m - 251*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 29, 16, 19, 44, 97?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 4, 10, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y + 2. Let q be l(0). Suppose 19 = q*n - 11. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246175417.3000071 - 246175430. Let m = -1.9 + -10.8. Let n = m - d. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = 0, 48 = 2*r - 3*h - 69. Let x(i) = -16*i + 243. Calculate the remainder when r is divided by x(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 4)*(6 - 4 - 1 + 3*m) - 3*m - 2*m + m + m - 2*m + 0*m + (-4 + 4 - 1)*(-2*m + 2*m - 2*m) - 1 + 1 + 2*m + 5*m - 3*m - 3*m as u*m + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -12, o - 18 = -5*q - 0*o. Find the second derivative of -23*f**3 - 15*f - 21*f**q + 37*f**3 wrt f.\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - (-10 - -8) - (0 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7172805075 to the nearest integer?\nAnswer: 1929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6580 and 44100.\nAnswer: 2072700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-68)\/(-18) + (-6)\/(-27). Let u = 216 - 220. Is o smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.5 (c) 2\/15 (d) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/16*826\/(-8). Let r = j - -609. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1420617 divided by -1420617.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.458*3\nAnswer: 7.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 98600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*((v\/(v*v*v**(-2\/19)*v)*v)\/v*v)\/v*v)\/v**9)**47)**(-41))**42 assuming v is positive.\nAnswer: v**(13677846\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -509*f*k*l*s + 2*f*k - 2*f*l**2*s**3 + f*l**2*s + 612*k*l*s**3 + 4*k*s**2 - 2*l**2*s**2 - l**2*s - 51*l*s**3 - 22*l wrt s.\nAnswer: -12*f*l**2 + 3672*k*l - 306*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) -0.2 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q + 2. Suppose -5*t = -3*l + 4, 0*l - t - 10 = 4*l. What are the prime factors of b(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 3.3913 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 52 = -7. Let z be ((-75)\/x)\/((-4)\/(-12)). Is 10 a factor of 15\/z - 376\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1195.7 + 135136717\nAnswer: 135135521.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 2*l + 1. Let p be u(1). Suppose -2 + p = c. Suppose -4*r + 47 = -x, -4*r = -c*x + 27 - 83. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + -2 + -4)**2)*4 + -3.\nAnswer: -159 + 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-2)\/((-52)\/(-234)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1294)\/14 - 1620\/4536*(-1 - 2\/10).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1315767*w**3*x**2 + 2*w**2 + 24*w*x**2 + 2*w*x + 159*w + 12*x**2 wrt w.\nAnswer: -7894602*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*l + 1784 = 16963 + 1311 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 23 = -3*l. Calculate the least common multiple of (4\/(-12))\/(2\/(-54)) and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f. Let v(m) be the third derivative of -m**4\/6 + 21*m**2. What is v(r(w))?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) -46657 (d) -1\/6 (e) -2 (f) 0.5 (g) 74\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794976 to the power of 1\/2, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -884?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + -1.26. Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -5\/24*u**4 - 1\/3*u**3 + 1\/60*u**5 - 11*u**2 + 0 + 0*u. Let s(w) = -w**2 + 7*w - 6. Let b be s(4). Give d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*m - 25 = 0, -5 = 2*g + 5*m - 2*m. Suppose 4*t + 17 = r, -g*t + 107 = 7*r - 2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3935.99999959944 + 3936. Round p to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(6\/(-8))*(-9)\/6. Suppose -b + 10 = m*c, -20 = -b - 3*b - 4*c. Let u be b - ((-3)\/9)\/(4\/48). Solve 0 = u*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.1 - -7.7. Let y = -6 - g. Let k be (-22)\/(-6) - 3 - (-3)\/(-9). Which is the smallest value? (a) y (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcccrccrrvck. What is prob of sequence rcvr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 668 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (308\/110)\/((-21)\/(-90))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26468, 52938, 79408, 105878?\n\"Answer: 26470*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 5a52?\nAnswer: 5a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.1565, -0.1, 4, 7?\nAnswer: -0.1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-18)*o\/(o\/o**(-18)) assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g. Let t(r) be the third derivative of -r**5\/15 + 68*r**2. Determine k(t(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 87\/12)*4. Suppose -n*c + 5*c = -52. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**3 - 11*d**3 - 42*d**3.\nAnswer: -76*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 + 4*w**2 + w + 5. Let s be a(-3). Factor -s + d**2 - 5*d + 92.\nAnswer: d*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d + 1. Let w(a) = -18*a + 1. Give 2*t(u) - 3*w(u).\nAnswer: 20*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from pbpbtbmb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44424 and -17543641141?\nAnswer: 17543596717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(39)\/sqrt(3) + sqrt(91)\/sqrt(7) + -4.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14273 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-19)\/19)\/(42\/2))\/((-43)\/(2838\/44)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/245)\/(-20*(-798)\/(-23520)))\/(4\/14).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32178696 divided by -8.\nAnswer: -4022337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 40\/12) + -2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7180, -7175, -7168, -7159, -7148, -7135, -7120?\nAnswer: -7103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 - 113. Is 4718\/56 - 3\/f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 314.97 in decreasing order.\nAnswer: 314.97, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010724205 rounded to six dps?\nAnswer: -0.010724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, 5, -5\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Let k(a) = -5*a + 0*a - 28*a. What is k(c(t))?\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -103221222023 (base 4) to base 2\nAnswer: -10011101001101010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 330, -130, -922, -2046, -3502, -5290?\n\"Answer: -166*v**2 + 38*v + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234467 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6085524 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:47 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.43 - 0.42999997. What is f rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12) + 17\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/45 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 36*i + i - 20140. Solve 5*u + 1040 = i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + sqrt(24)*-2*-4 + sqrt(216)*-4)\/((sqrt(64) + sqrt(64) + sqrt(64) + sqrt(64) + 1*(sqrt(64)*1 - sqrt(64)))\/sqrt(8)))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9006559, -36026219, -81058985, -144104857?\n\"Answer: -9006553*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:23 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28316471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*m**3 + 34422*m - 34422*m - m**3.\nAnswer: -65*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01656 + 0.046537. Let s = -10.681477 + q. Let l = 10.7 + s. Round l to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 + -178.8. Let p = v - 30.1999361. What is p rounded to six dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:22 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 4*p + 1. Let r be m(-2). Is r <= 1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i - 158 - i + 24 - i. Let n be h(32). Sort n, -1\/2, -1 in increasing order.\nAnswer: n, -1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnt when three letters picked without replacement from {t: 2, n: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 11:52 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*o + 4*a - 3, -4*o - 3*a = 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + o - 9490 = 17849, -25 = 5*o. What are the prime factors of f?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 5830.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 17084 - 17474 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 k when four letters picked without replacement from ssksjssssjssst?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**2. Let w(l) = 276*l. What is w(r(b))?\nAnswer: 3312*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 + -1)*2)\/(-17). Let t = 6 + -4. Let l = 4.3 - 1.3. What is the third smallest value in n, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/4, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-96)*(-24)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11789.1 minus -10?\nAnswer: 11799.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27914 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9576 + -df0?\nAnswer: 8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.2, -6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1168012973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32978 is divided by 340?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 595 - 597. Which is smaller: 89 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19485 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 5*w + 2. Does 1\/44 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:55 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 3*c - 1. Let l be o(-1). Suppose -5*t + 2*u + 5 = -l, 4 = 5*t - 3*u. Suppose -t*g + 42 = -2*x, -2*g + 39 = -5*x - 18. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 2, r: 2, a: 3}. What is prob of picking 2 o and 1 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95\/6 + 49\/3. Factor 1\/2*g**2 + 0*g - y.\nAnswer: (g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b3 (base 15) to base 2.\nAnswer: 1001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0416033 + -2.1?\nAnswer: -2.1416033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 5)*(7*w + 4*w - 7*w).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4004 and 4340.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*k - 16, 4*k - 121 = 25*k + 4*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((4*sqrt(153)\/(sqrt(9)*-2))**2 + ((sqrt(17) - sqrt(68)\/sqrt(4)) + 1)*5)*-5 + 4).\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, t: 1, b: 3, p: 6, u: 2, m: 4}. What is prob of sequence ti?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 340 + 5 = -2*c, -b + 5*c + 94 = 0. Let a = b - 64. Suppose 6*m + 5*i - 29 = 4*m, 38 = a*m + i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105.5 - -105.4998178. What is w rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*d - 30 = 0, l - 5*d + 5 = 6*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1140973, -1140968, -1140963, -1140958, -1140953, -1140948?\nAnswer: -1140943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -12, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 16. Let c be (-486)\/(-10) - l\/5. Let n = c - 7. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n = 65*n + 5. Suppose -2*z = -i + 8, -7 = i - 0*i + z. Put -4, n, i in descending order.\nAnswer: n, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = 9 - 22. Suppose -d = -h - 3. Put -14, 0, 5, h in decreasing order.\nAnswer: 5, 0, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.3202 years in decades?\nAnswer: 77.73202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:44 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 3*n**5\/25 - 3*n**4\/10 - 13*n**3\/5 - 3*n**2 - 2819. Solve h(o) = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 10 + 4 = 0. Put 3, -5, j in decreasing order.\nAnswer: 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101095 is divided by 1001.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4 - 126198*w**3 - 1327792059*w**2 - 13266439032*w - 11938773168 = 0?\nAnswer: -21028, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2808830030 to the nearest integer?\nAnswer: 52998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bbybbbyeeeebe.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*7\/(28\/(-48))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3643549*i**2*n - 10788838*i**2 - 8*n**2 wrt n?\nAnswer: -3643549*i**2 - 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + 10. Suppose j - 5*k = 31, -w*k - 8 = -0*k. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2057 + -2025.2. Let x = 35.038 + -0.038. Let z = g - x. Do z and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7008, 0.1, 0, -3, -9, 0.8?\nAnswer: 7008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:29 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141844774 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1796440, 1796440, 1796434, 1796416, 1796380, 1796320, 1796230?\nAnswer: 1796104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 4*q - 9. Suppose -5*n = 3*g - 4*g - 16, 3*g - 32 = -n. Let y be m(g). Suppose 0 = 2*x - 15 - 9. What is the highest common divisor of x and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 0*o = -1040. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183554258 to the power of 1\/3, to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42714 and 3006.\nAnswer: 7133238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124101 - -1131?\nAnswer: -122420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5688\/247 - 298\/13. Factor q + 0*c**3 - 4\/19*c**2 + 2\/19*c**4 + 0*c.\nAnswer: 2*(c - 1)**2*(c + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2702278 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-15)*(-15)\/12. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 159270?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 33371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/34 + (-142)\/268.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -15. Suppose 0 = 3*d + 4*z + 2 + r, 3*d - 3*z = 18. Solve -3 = -d*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {q: 9, f: 7, r: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q**2 + 1)*(-1 + q + 1) + (q - 3*q - q + (q - 2*q + 0*q)*(-4 + 3 + 0))*(-3*q**2 + 4*q**2 + 0*q**2).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-33)\/(-3))\/11)\/((-6)\/(-2)). Which is the closest to v? (a) -4 (b) 0 (c) 2 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -50*b - 3. Let k be w(-5). Suppose 3*z + 64 = 5*v - k, -2*v + 132 = -5*z. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.34928, 0.1, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 - (-21)\/3. Let t be (-11)\/14 + 3\/z. Let g = -21 + 20. Which is the third smallest value? (a) t (b) -1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 + 4 + 19*i - i**3 - 72*i + 18*i + 22*i + 14*i. Calculate b(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76+43212025\nAnswer: 43211949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 2\/(-6)*-15. Suppose 2*g + 2*p - t = 0, -4*p - 2 = -2*p. Solve g + 1 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.8, -1\/4, -4\/29, -5, 6, -0.3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - h - 4. Let m(f) = 7*f**2 + 2*f + 8. Let v(d) = -9*j(d) - 4*m(d). Calculate v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/526950 and 62\/1551575.\nAnswer: 27928350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242370*y - 242370*y + 330*y**2.\nAnswer: 330*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 309198*i**2 - 7968186915*i + 63725708184.\nAnswer: -3*(i - 51529)**2*(i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/8 - 492221*b**3\/4 + 80761816827*b**2\/2 - 4417321391562895*b + 70666805256478576 = 0. Calculate b.\nAnswer: 16, 328142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1. Let o(g) = -5*g**2 + 2. Calculate 5*h(c) + o(c).\nAnswer: -5*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46315, -46317, -46319, -46321, -46323, -46325?\nAnswer: -46327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkqpqqfqqpfkkff. What is prob of sequence pq?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqqr. Give prob of sequence rqrq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s - 16*s**2 - 6270*s**5 + 6343*s**5 - 2*s wrt s.\nAnswer: 4380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16, 1\/3, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2150.721463 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042364578 rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 60 = 16*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1204 + -573. Let s = c + -627. Solve 4*a = 4*l + 16, -s*l = a + a + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6956412 kilometers?\nAnswer: 695641200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**2 + 3*f**2 + 0*f**2)*(-f - 8*f + 0*f) + (2 - 3*f - 2)*(f**2 - f**2 - f**2).\nAnswer: -105*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 506, 777, 1066, 1379, 1722, 2101, 2522?\nAnswer: 2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/19, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*t = 32, 0*t + 24 = 3*q - t. Suppose -2 = -5*o + q. Suppose f + 12 = 5*l, o*f = 3*l + 2*l - 9. Solve -l*d + 9 = -6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = 7*n. Let q be n\/((-2)\/(-4)) + 7. Let l(b) = -375*b - 371. Let c be l(-1). Solve -8 = -c*v + j + 3*j, -q*v = j + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z + 3. Let c(m) = m**3 - 23*m**2 + 3*m + 13. Let j be c(24). Let q = j - 669. Determine n(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -209166 and 40.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 - 3*r - 1. Let i(j) = -j**2 - j + 1. Calculate 3*i(h) - x(h).\nAnswer: 2*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 7*d**2 + 8*d. Let l be q(6). What is the least common multiple of 12 and 1\/4 + 525\/l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*x + 12, -18*t - 5*x = -22*t + 14 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 1841*h - 1840*h + 26 = 0, -4*h = -b + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 29*p**3 + 6*p**2 - 23*p - 11. What is the hundreds digit of j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 205 and -0.1060836?\nAnswer: -21.747138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1058 - -1050. Let f(r) = r**2 + 11*r + 4. What is f(l)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.225 and -98840.\nAnswer: 22239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1360 and -0.11379 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(125) - (-5 + -2 + sqrt(125) + sqrt(125)))*2)**2*-3.\nAnswer: -14700 + 3600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 6*z**2 - 6. Suppose -86 = 81*u + 319. Calculate d(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 67*j - 20. Let o(b) = 35*b - 8. Calculate 3*a(q) - 5*o(q).\nAnswer: 26*q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843168 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 665788 divided by -289\nAnswer: -39164\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 192\/109 or 8558?\nAnswer: 8558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 82. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2115\/4, -3\/2, 2\/11, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -201, -312, -433, -564?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8949 (base 10) in base 6?\nAnswer: -105233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 25, t - 3*m - 10 = -4*m. Solve 13*o = -109 + t for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvl when three letters picked without replacement from {v: 2, c: 1, d: 2, w: 10, l: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d**5 - 24*d**4 + 267*d**3 + 54*d**2 - 216*d = 0. Calculate d.\nAnswer: -4, -1, 0, 6\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.139 - -0.039. Which is smaller: -54\/7 or a?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10253042449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*6*16\/(-12)*(-120)\/(-880)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Suppose 112 = -y*g + 9*g. What is the smallest common multiple of 2 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964*q = -965*q + 11. Let s(t) = t**2 - 13*t + 9. Give s(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298279957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 48 = -11*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035434699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2. Suppose 0 = 4*w - 34 - 6. Let q(i) = 2 - 2 + 2*i - w*i. Calculate a(q(r)).\nAnswer: 320*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19.8*1\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 976 by 122.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30930*t**2 + 5381*t**3 - 2 + 2*t - 2*t - 5367*t**3 + 30930*t**2.\nAnswer: 14*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32088.1 + -31947.813. Let b = -188.23 + d. Let g = b - -48. Round g to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtkkddttkkduk. What is prob of picking 1 k, 1 d, and 1 u?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10*24\/39528*27)\/((-1)\/2).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3597681 or -2\/27?\nAnswer: -2\/3597681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-1) + 1 + 23. Let s = t + -9. Suppose 3*x = -4*k + 46, 2 + s = x + k. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*v + 28, -8 = -3*v + 3*d - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3820, 7626, 11430, 15232, 19032, 22830, 26626?\n\"Answer: -p**2 + 3809*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4 + 5*x**2 - 4*x - x**2 - 3*x**2. Let b be j(4). Let m(g) = -g**2 - 6*g - 2. Let z be m(-6). Sort b, z, 2.\nAnswer: b, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/8)\/((-1)\/(-4)). Let t be (-7548)\/(-42) + (-2)\/j. Let m = 10 - -10. Calculate the highest common factor of m and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**2 + 35451961*u + 73116810?\nAnswer: -4*u + 35451961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 51*c - 24*c + 0 - 3 - 20*c. Let b be t(1). Solve 0 = m + f - 3, -b*m + f + 17 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97.292 + -97. Let t = 0.092 - u. Let v = -17.9 - -17. What is the second smallest value in 0.5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2 = -2*s, 25*s + 44 = -19*s - y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16108 - 9?\nAnswer: 16099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 115 = -2*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-8))\/((-3)\/(-12)). Suppose -p*k + 248847 = 38847. What is k rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (1510 - (8 - 3)). What is the units digit of (-5*2\/4)\/((-16)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*h - 5*i + 11, 2 = 3*h - i. Suppose h*w + w = 5*q + 26, 5*w = 4*q + 26. Suppose w*n - 30 = -10. Solve 2*a = 7*a - n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204 - 202. Let w = -202 - -201. What is the closest to w in 18, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**7\/945 + j**6\/135 + j**5\/45 + j**4\/27 + j**3\/27 + 4*j**2. Determine u so that k(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -511\/3 + 206435\/1212. Let g = p - -4869\/2828. Factor 2\/7*l**2 + 18\/7 - g*l.\nAnswer: 2*(l - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/((sqrt(24) - sqrt(72)\/sqrt(3) - sqrt(24))\/sqrt(8)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1421\/3 - 469. Suppose -19*y + f = -11*y - 16, -4*y - 4*f = -8. Is y at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/7, -3, -1070891.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 53 = 109*z + 97 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*l**3 - 3*l - 67*l**3 + 12*l + 29*l - l**2 - 62*l to the form n*l**3 + x*l**2 + c*l + j and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeuhyhld. What is prob of picking 1 h and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.405982 to one decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -3749*b**5\/20 - 4319*b**2\/2 + 11*b - 2. Differentiate v(x) wrt x.\nAnswer: -11247*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + t - 2, -5*t + 10 = -4*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 473 and 480.\nAnswer: 227040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 21, -2, -10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-0.87883\nAnswer: -0.615181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 646\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(5 + 2) + 507007. Suppose 12*d + 14*d = -p. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(0 + (-4*sqrt(44))**2 + ((sqrt(99) + (4*sqrt(99)*-1 + sqrt(99) - sqrt(99)) - sqrt(99))\/sqrt(9))**2).\nAnswer: 13200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*w + 36*w + 5*w**2)*(126*w**3 - 5143*w + 5143*w) + 8*w**3 - 8*w**3 + 5*w**5.\nAnswer: 635*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -17 - ((-4 - -10) + -2 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*l - 80 = -2*z, 2*z + 3*l - 81 = 0. Let s = -3934 + 3997. What is the greatest common factor of z and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137.9 - -138. Sort 0, j, -0.41.\nAnswer: -0.41, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**5 + 63*w**4 - 74*w**3 + w**2 + 2401?\nAnswer: -360*w**2 + 1512*w - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/4 (b) -1 (c) 0.02 (d) -20\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(-6*sqrt(300)).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-18))\/((-11)\/(-22) - 0). Determine o so that 1\/9*o**5 + 1\/9*o**4 - 2\/9*o**3 - c*o**2 + 1\/9 + 1\/9*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045918 to 6 dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -75005?\nAnswer: 75010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5 + -5*sqrt(304) + 2)**2 + -4)*3 + 5.\nAnswer: -1080*sqrt(19) + 23036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, -6, 254, 7 in descending order.\nAnswer: 254, 23, 7, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4, -3*b - 5*n - 1098 + 1084 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/324 and 11\/12425976?\nAnswer: 111833784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 + -210. Let w = -149 - -752\/5. Does b = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5134*k. Let w(j) = 21*j + 5. Determine g(w(q)).\nAnswer: 107814*q + 25670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ddddiddiddiididdddd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-10 - -19) - (-1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:59 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) + 7\/6. Let x = -489505.9 + 489506. Which is the nearest to -1? (a) -7 (b) r (c) x (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 31. Let w = -15 - t. Solve -1 = -w*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/5 - 404*g + 204020 = 0.\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1038, -1040, -1044, -1050, -1058, -1068, -1080?\n\"Answer: -m**2 + m - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22847287 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 19*b**2 + 6*b - 112. Let a be t(19). Let l be a + (-7)\/((-35)\/(-30)). Put -72, 4, l in ascending order.\nAnswer: -72, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 1:40 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 - -16?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 15. Let y be -3*(-1)\/(t\/(-6)). Differentiate y*u - u + 1 - 3*u with respect to u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32021 divided by 12.\nAnswer: 32021\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27231 - d**3 - 2*d + 27373 - 52919.\nAnswer: -d**3 - 2*d + 1685","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-6))\/l**(-5))\/(l*l**(1\/3))**(42\/13))\/((l**0*l)**14*(l*((l**(-2\/7)*l*l)\/l*l)\/l*l)**(-27\/5)) assuming l is positive.\nAnswer: l**(4254\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22200021 (base 3) to base 15\nAnswer: -1d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**4*y**5)\/(y**(-2)*y**7\/y))**27)**(7\/10) assuming y is positive.\nAnswer: y**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4384, 8772, 13160?\n\"Answer: 4388*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2224, 8092, 17868, 31552, 49144, 70644, 96052?\nAnswer: 125368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4) + (4 - (4 - (-21)\/(-7))).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 * 0.5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3 - 3. Let f(j) = j**3 + 2*j**z - 2*j**3 + j**2 - 3 + 2*j. Let m be f(3). Solve m*i = 2*a - 7, 3*a + 27 - 9 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-4)\/12) - 1. Let l(n) = 2*n**2 - 3*n**2 + 6*n**x. Let t(q) = 5*q. What is t(l(a))?\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175.8 - -176. Are i and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvk when four letters picked without replacement from vkvvkkkvkkvk.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*s - 2)*(-19875*s**2 - 19874*s**2 + 335*s**3 + 39749*s**2).\nAnswer: 670*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5156*c**5 - 490*c**2 - 15881905*c.\nAnswer: 103120*c**3 - 980","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 0.19 * 716799\nAnswer: 136191.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*v**4 + 2772356*i*v**3 + 3*i*v - i + 236*v**2 + 149 wrt v.\nAnswer: -48*i*v + 16634136*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220 - -299943453.\nAnswer: 299943233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**3\/2 + 75*t**2\/2 - 14*t. Let q be x(-25). Suppose q = -6*f + 329 + 385. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3115, 5513, 7925, 10357, 12815, 15305, 17833, 20405?\n\"Answer: u**3 + u**2 + 2388*u + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, -8 in ascending order.\nAnswer: -8, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 192401285 to the power of 1\/2, to the nearest integer?\nAnswer: 13871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6989 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 + -5.3. Let l(c) = c**2 + 2*c - 12. Let m be l(-5). Let p be m\/(-2)*(-8)\/(-6). What is the nearest to p in j, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 48 = 3*z, -z - z = 5*o - 139. Let q(v) = v**2 + v - 2. Let x be q(1). Let d = 18 + x. What is the highest common factor of o and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1144092997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Solve -r + 2*h - 1 = 4*h, z*h = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-1173480)\/65219)\/(60\/(-140)).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 9:11 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2380*g - 6453*g - 4467*g - 53200 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412857, -412823, -412789, -412755, -412721?\nAnswer: -412687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/35 - ((-5368)\/(-5510) - 498\/4731).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 6*a**2 + 2*a - 11. Let n be i(6). Find the common denominator of 77\/18 and (-134)\/(-84) + -4 + n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m**2 - 3*m + 1. List the prime factors of u(-3).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 18. Let s = 325 - 314. Calculate r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 45*s**3 + 165*s**2 + 175*s + 60.\nAnswer: -5*(s - 12)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -275\/24 - 7\/8. Let s = -865\/69 - 3\/23. Let b = s - m. Put b, -1\/4, -0.08 in increasing order.\nAnswer: b, -1\/4, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -1, 115, 2 in increasing order.\nAnswer: -1, 2, 3, 8, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*a = 311*a - 720 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b - 4*b - 10 + b**2 + 0*b. What is the units digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/9 - 176*w**3\/9 - 112*w**2 - 1984*w\/9 - 1312\/9.\nAnswer: -2*(w + 2)**3*(w + 82)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24693 (base 10) to base 15.\nAnswer: 74b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 571*m**3 + 43*m**3 + m + 2343 + 2376 + 86*m**3 - 4744 + m**5 wrt m.\nAnswer: 20*m**3 + 4200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16156487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-1 + w + 1)*(7212 - 7213 - 5*w - 23*w).\nAnswer: 28*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24991, 50126, 75261, 100396, 125531, 150666?\n\"Answer: 25135*a - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (11 - 13) + -3 + -4 - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:45 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 2, m: 1}. What is prob of sequence pip?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 115462 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.31 (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/6*4\/5. Does 4 divide 165\/20 + v\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + (-4 + -1 - -3 - 12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 22*g**2 + 69*g - 271. What is n(15)?\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 12) in base 14?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 149, 197, 275, 389, 545, 749?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 805 - 808. Which is the third biggest value? (a) 1\/4 (b) u (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*i**2\/3 + 748*i\/3 + 1156\/3 = 0. Calculate i.\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -1, 0.2, 7.2 in descending order.\nAnswer: 7.2, 7, 2, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000065454 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 15 = 4*b + s, 11 = -2*b + 5*s. Let a(k) be the second derivative of -k**5\/20 - 3*k**4\/4 - 4*k**3\/3 + 2*k**2 - 5*k. Is a(b) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-986)\/51 - -19)\/((-4)\/(-252)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 2*h - 3. Let d(b) = 2*b**2 + 5*b - 7. Let r(t) = 5*c(t) - 2*d(t). Let f be r(1). Let m = -176 - -178. Solve -6*a + m*a = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2. Let u = 11 - 7. Let t(y) = -3*y + u*y - 2*y. Determine t(d(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 - 8078880*u - 4079268878400 = 0 for u.\nAnswer: -1009860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 2. Let p be m(-4). Suppose -1 - 3 = -2*t + 5*v, p*v = 3*t - 17. Is 6 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*v - 31, m - 2*m + 5*v + 19 = 0. Calculate the highest common divisor of m and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(35)\/(-1*sqrt(320)) + -2*sqrt(42)\/(sqrt(24)\/sqrt(4)))**2.\nAnswer: 2023\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:53 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5150*d + 12*d**2 + 5150*d + 5154*d + 23 - 15455*d to o + x*d + v*d**2 and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058860 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.1 + -0.1. Let n = b + -22.19. Let w = -0.19000144 - n. Round w to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 23 = 5*n - v, 3*n - 21 = -3*v. Suppose -y = 0, 0*y = n*x - 3*y - 228. Let z = 63 + x. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94362 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/27 - 2410\/(-270). Sort -3, m, 4, 0.\nAnswer: -3, 0, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363*l - 3668*l**2 + 3667*l**2 + 28 + 351*l)*(l**3 - 2*l + 2*l).\nAnswer: -l**5 - 12*l**4 + 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-6)\/9)*(-59 + 74).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Suppose 5*o - 54 = -3*m, 0 = -5*o + 4*m - 3*m + 42. Determine z, given that f - o*z - z**2 - 65 - 7*z = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1131 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030300 - -3?\nAnswer: 2030303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*4 + 4. Find the second derivative of 2*w - 6*w + 27*w**z - 33*w**2 wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13991270 and 27982540.\nAnswer: 27982540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 9*j - 3. Let i be (-1)\/(((-6)\/(-10))\/3). Let o(c) = -4*c**2 - 19*c + 2. Let b(u) = u - 1. Let f(m) = -6*b(m) - o(m). Give i*f(t) - 7*h(t).\nAnswer: t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/9883 and -113\/10.\nAnswer: 98830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let f(z) = -3 - z**2 + 2*z**2 + 2. Let k = -4991 - -4988. What is k*f(o) - 4*l(o)?\nAnswer: o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1755*d**3 + d**4 - 3*d**2 + 33 + d**2 + 1754*d**3 to the form i + z*d**2 + j*d**3 + m*d + l*d**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 575976330 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 15.6. Let l = 20104 - 20103.4. Sort -4\/9, w, l in ascending order.\nAnswer: -4\/9, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821b7 (base 16) in base 10?\nAnswer: 3678647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = -11. Let j(c) = 3*c**2 + 16*c - 2. Let f(p) = -2*p**2 - 8*p + 1. Let y(i) = -5*f(i) - 3*j(i). Give y(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**5\/20 + x**4\/2 + x**3\/2 - x**2\/2 - 3*x. Is l(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 704 - 703.374. Let n = 0.126 - h. What is the nearest to 1\/3 in n, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.4 (c) 96 (d) 2\/19 (e) 158 (f) -0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i**3 - 3*i**3 + 2*i**3)*(4 + 0 - 3) - 118*i**2 + 361*i**2 - 5535*i**3 - 131*i**2 - 112*i**2 in the form p*i**3 + d*i**2 + y*i + v and give p.\nAnswer: -5531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 60*i**2 - 415*i - 57. What is y(52)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -10972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 145771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -719347 * -0.076.\nAnswer: 54670.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1577, -18653, -12.\nAnswer: -18653, -12, 1, 1577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21479409 is divided by 1130495.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a7 - -9?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l. Let x be v(1). Let c(q) = -q**3 + q**2 + 2*q + 1. Let w be c(-1). Suppose -w = 2*b + 9. Put b, -3, x in descending order.\nAnswer: x, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1501 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4 - -1) - -1. Which is bigger: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1056*s**4 - 1131*s + 63*s**3 - 78*s**3 + 15*s**3 wrt s?\nAnswer: 12672*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3921531442 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1\/9, -27 in descending order.\nAnswer: 15, -1\/9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*q. Let w(b) be the third derivative of 1\/24*b**4 + q*b**3 + 0*b + 2*b**2 + 0. Let o(l) = l**2. What is o(w(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -5*n**3 + 4*n**2 - 8*n + 624. Let i(d) = 5*d**2 - 3*d + 3. Calculate 8*i(t) + 3*p(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 57497863 to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1260)\/1638)\/(1\/26)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2901 + 0.27313. What is u rounded to 4 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 915359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 798676.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1050378 by -350126.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 11017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-8)*(-32)\/(-48)*(-2)\/(-4)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 - 252. Let z(m) = -m**3 - 7*m**2 + 9*m + 7. Let c be z(-8). Sort -4, x, c in descending order.\nAnswer: x, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 + 2*v**3 + 12*v**3)*(-14*v**2 + 36*v**2 + 31*v**2).\nAnswer: 1060*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 16) to base 12.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -266*a - 1326. What is the remainder when 135 is divided by g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4480 and -2396.\nAnswer: -10734080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 12*x + 4. Let n be r(12). Let y be 53\/n + 57\/76. Let o(v) = -31*v - y*v - 30*v + 22*v. Let d(u) = -2*u**2. Calculate d(o(g)).\nAnswer: -5618*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 3*r - 1. Let h be j(2). Let a be 1 + 1\/(-1) + -3. Sort h, 3, a.\nAnswer: a, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -28. Let z be (49\/x)\/(1 + -2). Let g = 138 + z. What are the prime factors of g?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - -0.05. Suppose -m - 2*m - 1 = -x, m - 4*x = 18. Which is the nearest to f? (a) 2\/9 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1838154 (base 9) to base 15\nAnswer: -15506d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -45588.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 7195 = -33607. Calculate the lowest common multiple of a and 4.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-336)\/144*3\/(-7). Let c(b) = -b**2 - 5*b + 3. Let k(x) = x + 1. Let s(f) = c(f) - 6*k(f). Let d be s(-11). Put d, -5, r, 7 in decreasing order.\nAnswer: 7, r, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*y - 0. Suppose -s = 2*r - 6*r + 3, 2*r - y = -4*s. Suppose 4*p + c + 2*c = 30, -c - r = 0. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-4)*l*l)\/l*l)**(-45))**(13\/3)*((l**(-2)*l)\/(l*l**3\/l))\/((l\/(l*(l*l\/(l\/(l\/(l**6*l*l)))*l)\/l*l))\/l**(-5)) assuming l is positive.\nAnswer: l**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.3, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2784385*i**3*q**3 - 2943*i**2*q**2 - 5*i**2 + 49*q**3 wrt i.\nAnswer: 16706310*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e4 (base 15) in base 13?\nAnswer: 27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149.975 + 0.025. Let g = -2808225825 + 2808225674.99999714. Let z = k + g. Round z to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2264 - -2264. Solve 5*m - 15 = n, 5*m = 3*v + 2 + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 11. Let s(r) = -r - 21. Determine 11*j(b) + 6*s(b).\nAnswer: 5*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1522 is divided by 1231.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63024 is divided by 2467?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 586183.880578?\nAnswer: -586184.180578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, u: 4, x: 5}. What is prob of picking 1 u and 3 e?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:37 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 - d**3\/2 + d**2\/2 - 5*d. Let i be n(-3). Let x = 19 - i. Let g(q) = q - 5. Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116097 divided by 19.\nAnswer: -116097\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110.3 - 110.8. Let l = 0.3 + -0.2. Let t = l - -0.1. What is the second smallest value in t, 2\/3, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a - 1. Calculate the remainder when x(3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.5. Let y = 0.1 - -2.5. Let v = 14.6 - y. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14680053 to the nearest integer?\nAnswer: 3831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-24)\/(-24))\/(3\/324) is divided by 60.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -241\/20, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1867*f**5 + f**4 - 2276*f**2 wrt f.\nAnswer: 112020*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.13 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 346*h**2 + 4*h - 20. List the prime factors of y(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -5*m - 5, -5*k + 112 = -2*m. Let p = k - 24. Let t be ((-15)\/6 - -2)*p. Solve t - 16 = 4*g - j, -4 = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -2. Let g = -0.2041 + -0.1959. What is the fourth smallest value in 7, a, -2\/7, g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3821804*y**2 + 12691*y + 12691. Let t(p) = 1807*p**2 + 6*p + 6. Determine -12691*t(x) + 6*v(x).\nAnswer: -1813*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - b = -3*y - 1, -3*y = -3*b - 15. Suppose -13 = -y*a + 9. Calculate the greatest common divisor of a and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*h = 24. Suppose 15 = h*i + 7. What is the closest to 0.4 in i, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 2*l - 5 - 52, 4*l = -h - 5 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 - 149\/((-300384)\/(-2368))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -297 + 620. Suppose 3*u + 59 - g = 0. Let r = -49 + u. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 2. What is s(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1*(2204\/(-171))\/(14*2\/(-21)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 453991309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 40*k - 365. Determine t(-47).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*m**4 + 444\/5*m**2 - 2*m**3 - 1592\/5*m + 304 = 0. What is m?\nAnswer: -19, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-10)*18\/20)\/((-50523)\/12248)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112)*2 + (sqrt(7) - sqrt(63)) + sqrt(7) + 3 + sqrt(847)*-1)**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268 divided by -317?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 2 - 2)*(91*z - 65*z - 112*z)*(-z + 3 - 7 + 3) to the form h*z + i*z**3 + d*z**2 + k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 20*o - 66. Let y be s(23). Suppose y*w = w + 12. Solve w*c = c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:14 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:43 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -43*j + 34. Let d be 2\/4 + (-84)\/(-24) - 4. Let l be d + -1 + 3 + -9. Is s(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.03189096 rounded to three decimal places?\nAnswer: 3.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = 2*u - 4*w, -5*u = 3*w - 36. Put 0.5, u, -0.2 in ascending order.\nAnswer: -0.2, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -10, -14.\nAnswer: -20, -14, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 0.0271046584.\nAnswer: -0.3271046584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygyyygyyyyyy. Give prob of sequence ygg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhmk when four letters picked without replacement from {k: 1, v: 1, h: 1, m: 1, u: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - -10 - (13 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 13*j**2 + 7*j**2 to the form t*j**2 + c*j + x and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813 + 730 = -83*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*z - 6. Let f(u) = u**3 - 2*u**2 - 11*u + 13. What is the units digit of f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqq when three letters picked without replacement from {g: 2, q: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 5, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(2\/37))\/(c**(-32)*c))\/(c*(c\/((c**(-23\/4)*c)\/c))\/c*c*c)**(11\/8) assuming c is positive.\nAnswer: c**(24891\/1184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vem when three letters picked without replacement from {v: 1, m: 1, s: 1, u: 1, e: 1, c: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -3285?\nAnswer: -3281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -0.03, 27.2, -0.058 in descending order.\nAnswer: 27.2, -0.03, -0.058, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 7*p**4\/8 - p**3 - 6*p**2. Let v(u) = 3*u - 1. Let n(h) = -4*m(h) + 27*v(h). What is the first derivative of n(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2158816 divided by -196256\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j = -56 + 84 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.05. Let t = g + 0. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x - 19 + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 2 - (5 - 3 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -5*v**4\/12 + v. Let s be (12 + -9)\/((-3)\/(-2)). Let j(h) = 3*h**2 - h**2 - h**s + h**2. Determine y(j(t)).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4))**(2\/9)*f**(-6)*f*f**(3\/7)*f)\/(((f**(2\/5)*f)\/f)\/f**(-5))**(-20\/11) assuming f is positive.\nAnswer: f**(8735\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 9*t**2 + 19*t + 3. Give r(8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -22*z + 21*z - 2, -4*g = z + 7. Solve 2*u + 2*o - 3 = -z, -5*u = -2*o + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 5\/2*n**2 + 2*n + 5 + 1\/3*n**3. Let i(j) be the first derivative of h(j). What is the first derivative of i(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 27*a**3 + 46*a**2 - 10*a - 2. Let h(u) = -27*u**3 - 45*u**2 + 9*u + 3. Let d(v) = -2*h(v) - 3*z(v). Suppose d(k) = 0. Calculate k.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -31.\nAnswer: 184\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*o + 17 = -5, 5*o = 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 36, 54, 74, 96?\n\"Answer: w**2 + 13*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 670718 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4311 * 0.1.\nAnswer: -0.04311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -249.219.\nAnswer: -254.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 - -6 - (3 - (-6 - -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 64.47. Let x = 0.14 + t. Let l = -0.01 + x. What is the biggest value in 4, -2\/15, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 2*h**2 + 3*h + 4. Suppose -45*o + 15 = -50*o. Give b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(19))**2*5*2 - (((sqrt(19) + (sqrt(95)\/sqrt(5))**2)*-2 - sqrt(19)) + (5*sqrt(57)\/sqrt(3) - sqrt(19))).\nAnswer: -422 - 81*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -42?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 6*i. Let g(k) = k + 1700 - 1700. Let r = -5 - -7. Calculate r*v(d) + 10*g(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*n**3*q**3 + 1129*n**3*q**2 + 274*n**3 - n**2*q**3 - 5*n*q**3 - 32*q**3 wrt q.\nAnswer: -54*n**3 - 6*n**2 - 30*n - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*h + 80*h - 988. Suppose h*l + 280 = 57*l. Calculate the greatest common factor of 28 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/12*l**4 - 3*l**2 + 1\/15*l**5 + 0 + 1\/6*l**3 + 0*l. List the prime factors of b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 144.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 2\/3, -0.3, 6\/11, 0.14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m + 13. Let p(v) be the first derivative of 7 + 7\/2*v**2 + 9*v. Calculate 7*p(r) - 5*x(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 4*y = 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + -2 + -8 - 12) + -16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 1.89, 0, -1\/7, -210.\nAnswer: -210, -1\/7, 0, 0.1, 1, 1.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 4 = -29*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13055 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5092 = -2940*v - 2852*v + 5868*v for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**5\/360 - r**4\/36 + r**3\/12 - r**2\/2 + 5. Let u(m) be the second derivative of i(m). Suppose u(p) = 0. What is p?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (-5*4*sqrt(85) - sqrt(85)) - sqrt(85) - sqrt(85) - sqrt(85) - sqrt(85))\/(sqrt(5) - 1*sqrt(405)).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004308346892 rounded to 7 decimal places?\nAnswer: -0.0004308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f**2 - 2*f + 30. List the prime factors of i(-10).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-32)\/(-12))\/((-4)\/66). Let z = t - 72. Solve 2*w = z - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11284279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*a - 8. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 3. Let n be a(0). Let l be (-22)\/(-1) + n + -4. Is l\/(-3)*(-1 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 - 3 - 5 - 154099*j.\nAnswer: -154099*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1657 + -1630. What is the smallest common multiple of g and 267?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 571 = -5*n, 21*m = 23*m + 5*n - 379. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 7*f + 12*f + 12 = 0, 4*j - 4 = -3*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-11 - -11)) + 10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12865565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3080 divided by -4.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -236228*a**2*n - 12*a**2 + 1065372*a - 310*n**3 - 3 wrt n.\nAnswer: -236228*a**2 - 930*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(56)\/sqrt(128))**2.\nAnswer: 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146534.\nAnswer: 2, 41, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(539)*-1 - (-5*sqrt(33)\/sqrt(3) - sqrt(11))) + -5)*-5.\nAnswer: -70*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:06 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 2134683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30379388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Work out 7615053.3416 + 0.015.\nAnswer: 7615053.3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -16 - -36 - (-8 - -18)) + -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 70. Let o be (x\/(-8))\/(2\/4). Suppose -7 = -2*g + u, -3*g + o = 2*u - u. Sort 5, g, 0 in decreasing order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 73 = 13*f, -5*d + 4*f - 240 - 232 = -442 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*v**3*z**2 - 825298*v**3*z - 2*v**3 - 36*v**2*z**2 - 3585*v*z**2 - 75*z**2 wrt v?\nAnswer: 300*z**2 - 4951788*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwciippiiiiwpip. Give prob of picking 1 w and 2 i.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -30. Let x(v) = -3*v + 13. Let o be x(b). Are o and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2, 3\/325, -0.5, -10, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -4*m - 8*d - 20, -2*m = 2*d - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -23*d. Is (-12 + 1)\/(d + -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 54*v + 686 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(45) + -4.\nAnswer: -4 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 679*u**3 - 38*u**2 - 11*u - 2. Let i(d) = 340*d**3 - 21*d**2 - 6*d - 1. Determine 5*b(r) - 9*i(r).\nAnswer: 335*r**3 - r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 2*r + r**2 + (0*r + r - 3*r)*(-4 - r + 4) - 2*r**2 + 3*r**2 + r**2 + (2 - 2*r**2 - 2)*(-1 + 0 + 2) + 140*r**2 + 304*r**2 + 380*r**2.\nAnswer: 827*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5470 divided by 1094.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 - 19451354*h - 38902716 = 0.\nAnswer: -2, 9725679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.07, -3, -4\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8964 and 2838600.\nAnswer: 8515800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/17 (b) -3 (c) 171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2014, -1934, -1854, -1774, -1694, -1614?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2 + 7*f + 3. What is t(6)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.2 (c) 7\/4 (d) -1.2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -27*m - 6. Let z(o) = -27*o - 7. What is -5*q(c) + 4*z(c)?\nAnswer: 27*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9401266 equal to -10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 630 and -155.6.\nAnswer: -98028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqgx when four letters picked without replacement from ooomxommogqmxx.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -4*i. Suppose -i*j = -j + 2*w - 51, j - 2*w = 17. What is the greatest common divisor of 85 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666 and 3677430.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 80, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 2*r**3\/3 - r**2 + 5*r. Let u be c(5). Calculate the highest common factor of 54 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 27887570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16369640 divided by -8184820?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*u**3 + 2*u**3 + 5741*u**5 + 8241*u**2 - 1650*u**2 - 5928*u**5 wrt u?\nAnswer: -11220*u**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -7. Let m = 2.97 + r. Let u = m - -0.029. What is u rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(-105)\/700.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.2. Let y be 441\/(-205) + (-143)\/(-65). Is k less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {d: 4, y: 1, h: 3, e: 1, z: 1, s: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 13) in base 11?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 12 + 30 - 18.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from {e: 1, o: 2, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9070*r**2 - 14*r + 2577. Let d(a) = 18138*a**2 + 25*a - 5154. Let p(g) = 5*d(g) + 9*f(g). What is the second derivative of p(o) wrt o?\nAnswer: 18120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*3)**2 - (sqrt(704) + -2 - sqrt(704))**2) + (0 + sqrt(176) + 5)**2.\nAnswer: 40*sqrt(11) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/221)\/(5\/(-10))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 1, 15, -1, -6, -5 in decreasing order.\nAnswer: 40, 15, 1, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 6. Let u = t + -5. What is the highest common divisor of 15 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -39*u**3 + 12*u**2 + 5*u + 6. Let c(t) = 39*t**3 - 11*t**2 - 7*t - 9. Give -2*c(g) - 3*d(g).\nAnswer: 39*g**3 - 14*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 - 6*m**2 - 5*m + 5. Let w(o) = -4*o**3 - 4*o**2 - 3*o + 3. Determine 5*s(g) - 8*w(g).\nAnswer: 2*g**3 + 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 428616?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4172320 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2725002 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -592 + 574. Which is the nearest to 0? (a) u (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 38*d + 240*d**3 + 8 + 20*d + 20*d to the form w*d + z*d**3 + f + m*d**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3 - 7 + 4 + 2*i**2. Let w(k) = k**2 - 9*k. Let a(b) be the first derivative of b**2\/2 - 2. Let f(m) = -36*a(m) - 4*w(m). Calculate h(f(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2822*0.1811.\nAnswer: 511.0642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*d - 218, 2*d - 138 = 4*h - 328. What is the greatest common divisor of h and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - (-3 + 4 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9040, 26, -247 in descending order.\nAnswer: 26, -247, -9040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*o + 214*o + 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2 (b) -12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f + 3*o = -84, f = 4*o - 2. Let l = 34 + -32. Let c = l - f. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.2965036 (c) -25 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 112*a - 1989. Let z be o(18). Is 3858\/11 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeofeelveevmoeeem. Give prob of picking 1 m and 1 e.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -269 or -265?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 53875986878.78.\nAnswer: -53875986878.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + r + 3*r - 7, -3*r + 41 = -4*n. Let d(w) = -8*w + 497. Let i be d(63). Is n > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -543*m + 4. Let y be (-1)\/3 - (-98)\/(-21). Let w be p(y). Let g = w + -1832. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 2*s - 1. Let m be v(-1). Let r(h) = -h**2 + 5*h**2 - 3*h**m. Let f(g) = -2*g**2. Calculate f(r(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5735 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1031*k**3 - 2007*k**3 + 93*k**3 + 382*k**3 - 2140*k**3.\nAnswer: -4703*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1917, 7884, 17833, 31764, 49677, 71572?\n\"Answer: 1991*q**2 - 6*q - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -5)*(-3)\/6. Suppose -g + 2*f = -21, 4*f + 21 - 54 = -w*g. Suppose -i = -r - g + 5, 0 = i + 3*r + 2. Solve 2*x = i + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 31*t + 166. Let v be b(-7). Let s(w) = w - 4. Let k be s(4). Suppose -2*x + k*x - 6 = 0. Sort x, v, -4 in decreasing order.\nAnswer: v, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8828609 divided by -1?\nAnswer: 8828609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213*s + 14*s**2 - 1 + 213*s + (-3*s + 3*s - s**2)*(4 + 3 - 5).\nAnswer: 12*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -39*y**4\/4 + y**3\/3 - y**2\/2 - 2*y + 8. What are the prime factors of k(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 232 = -17*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/((-8)\/(-4)) - (-4 - 5)\/1 and 131.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 1\/2, -6\/77, 2\/3, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(4 + (sqrt(832) + -3*(sqrt(832) + 1) - sqrt(832) - -6*1*sqrt(832))) + -5)*3)**2 + -5.\nAnswer: 21600*sqrt(13) + 1685695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f + 1. Let o(a) = -a**3 - 2*a**2 + 4*a - 3. Let k be o(-4). Let i = k + -17. Is n(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(63\/6)*48\/(-32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3626 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.34 + 0.29. Let i = u - -2.05. Which is the smallest value? (a) i (b) 0.2 (c) 1\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/11, 5, 0.1, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209116860.\nAnswer: 2, 3, 5, 797, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 11*a + 13. Suppose 50 = 4*x - 9*x. Let f be y(x). Sort 4, -4, f in ascending order.\nAnswer: -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(2\/4*-72).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Let i(x) = 1053*x - 2. Calculate -2*a(z) - i(z).\nAnswer: -1051*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1240.47149 + 2101?\nAnswer: 860.52851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let d(o) = -o**3 - 24*o**2 - 6*o + 7. What is -d(u) + 3*j(u)?\nAnswer: u**3 + 24*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806*a + 1927*a - 1121*a - 2*a**2 + 62.\nAnswer: -2*a**2 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + -5*sqrt(475)*2 + -1)**2 + 5.\nAnswer: 200*sqrt(19) + 47508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 6. Let z(q) = -4*q + 6. Determine 3*s(k) - 4*z(k).\nAnswer: 7*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 11 = -4*q. Let c = 290 - 149. Let r = -107 + c. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + (-8)\/(-3) + 2. Let a = 2.4 + 2.7. Let i = a - 5. Is i > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22570139*d*p - 72673247*d with respect to p.\nAnswer: -22570139*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 5*j**2 + 0*j**2)*(3*j**3 + j**3 - 2*j**3) + (1 - 1 - 2*j**2)*(-j**2 + 2 - 2)*(7*j - 29*j - 34*j).\nAnswer: -104*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126883 is divided by 2016.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 84\/37? (a) -3 (b) 2 (c) -2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 133, 97, 37, -53, -179, -347, -563?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from mkcmffcccffekckf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 2\/19 (c) -4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109829*d + 109829*d + 13*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 + -21?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302649 is divided by 46?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 14*c**3 + 4.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 4*h**3 + 5*h**5 + (-2 + 2 + 2*h**3)*(-2 - h**2 + 2) + (-h**2 + 4*h**2 - h**2)*(262*h - 134*h - 134*h - 5*h**3).\nAnswer: -7*h**5 - 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -11808, 108\/47?\nAnswer: -11808","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2157, -2473, -2791, -3111, -3433, -3757, -4083?\n\"Answer: -a**2 - 313*a - 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7498326062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120443456?\nAnswer: 2, 7, 23, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0 + 5\/6*m**3 - 1\/12*m**4 + 109*m + 6*m**2 - 13\/10*m**5. What is the second derivative of i(p) wrt p?\nAnswer: -156*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39964462.\nAnswer: 2, 401, 49831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 - g**3 + 6*g - 1 + 0*g + 3. Suppose 0 = 102*u - 14*u - 56*u - 192. What are the prime factors of w(u)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 6*c + 8. Let y be m(-5). Suppose 0 = -x + 2*q - y, 4*x = -0*q - 2*q - 122. What is x rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048\/(-6026) - (-158)\/1173?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 5*z + 64. Let y(g) = 3*g**2 + 41*g - 33. Let l be y(-13). Let s = l + z. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((7 - 3)\/4). Suppose 0 = -5*t + 5*n - 20, 2*n = -v*n - 16. What is the units digit of (-5)\/(-20) + (-110)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2765 and 110416957.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 - 107 = 0. Suppose 4*g - 88 + b = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112005\/887 or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*i - 129 = 285, -410 = -4*c - 2*i. What are the prime factors of c?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1795000 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let x be (-4)\/14 - (-4)\/14. Put x, m, -3 in decreasing order.\nAnswer: m, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -793.46 (c) -1 (d) -4 (e) -1\/20 (f) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75))**2*3 - sqrt(27)*-2 - ((sqrt(75) - sqrt(75)*-5) + sqrt(75) + -3).\nAnswer: -29*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 53369687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o**2 - o - 1. Let k(x) = x**3 + 5*x**2 - 8*x - 4. Determine k(l) - 6*m(l).\nAnswer: -5*l**3 - l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 7 = -25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-4)\/(-4 - 0). Suppose -i*k = 2*z + 2*z - 12, -z - 3*k - 2 = 0. Suppose -f = -z*s - 55, 5*s - 115 = -2*f - 2*f. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75*((-6)\/9)\/(-2). Let f = h - 49\/2. Which is the closest to -0.1? (a) f (b) -11\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340 + 342. Suppose g*d = w + 5, -3*d + 4 = 5*w - 10. Let m = -0.2 + -0.3. Which is the closest to 0? (a) m (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.67 + -14.27. Let l = y + 22. What is l rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774813.\nAnswer: 1774813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373 = 52*s - 91 - 212 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 405119 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9\/11 (b) -1\/26 (c) 20 (d) 2 (e) -4 (f) 5 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 513664.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 r when three letters picked without replacement from {x: 1, f: 7, r: 4, i: 2, w: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*k + 12, -5*n - 5 = 3*k - 0. Let x(f) = 43*f - 4*f**2 + 4 - 39*f + 3*f**n. What is x(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -59. Let k(q) = g*q - 1 + 2*q**3 - 110*q**2 + 110*q**2. Calculate k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*x - 13 - 4, -4*j = 5*x - 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 i when three letters picked without replacement from innnniiiniiibbn.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1122406.53 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (230\/138)\/((-1)\/(-3)). Let m(j) = -j**2 + j - 1. Let s(g) = -4*g**2 + 3*g**2 + 5 + 3*g + 8*g**2 - 12*g. Give l*m(w) + s(w).\nAnswer: 2*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32585 is divided by 123.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257702.\nAnswer: 2, 269, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 903*s - 2 - 9206*s - 4028*s + 4185*s - 4105*s in the form u + v*s and give v.\nAnswer: -12251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -32*o + 5. Let q(n) = 176*n - 28. Suppose -4 = -2*g, -1263*g - 102 = 4*z - 1258*g. Give z*s(a) - 5*q(a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2722 + 5774 - 2220)*(2*v**5 - 3*v**5 + 2*v**5).\nAnswer: 832*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.95 + -0.05. Put 2\/7, 2\/5, 1\/5, j in ascending order.\nAnswer: j, 1\/5, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -3.5 (c) 1286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 193, 727, 1589, 2755, 4201, 5903?\n\"Answer: -4*d**3 + 188*d**2 - 2*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*g + 896*g + 103*g in the form c + f*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.588 + 0.188. Let z = t - -4.39386. What is z rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(833) - sqrt(833) - sqrt(833)))**2.\nAnswer: -70*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.4 + -30.5. Which is the fourth biggest value? (a) 4 (b) 3\/4 (c) -3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by (119\/68)\/(3 - (-95)\/(-32)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -192328, -192396, -192510, -192670?\n\"Answer: -23*l**2 + l - 192306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -792, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384439747?\nAnswer: 29, 863, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13186 less than or equal to 13194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/7*(-70)\/(-4). Let m = y + 49. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Suppose -l*h = -3*h. Factor -6\/7*p + h*p**2 + 2\/7*p**3 - 4\/7.\nAnswer: 2*(p - 2)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -3b69781?\nAnswer: 3b69779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from {l: 7, u: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.14 + -0.14. Let p = -14 + 6. Let k = w + p. Which is the closest to 1? (a) -1\/4 (b) k (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/720 and -199\/5700.\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6733852 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*h + 1215*h - 372*h + 4 - 5.\nAnswer: 228*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**3*k + 200*b**3 + 4*b*k - 37*b + 234*k**2 wrt k.\nAnswer: -5*b**3 + 4*b + 468*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 2*n. Let a(i) = i**3 + 2*i**2 + 1. Let b = 9 + -6. Calculate the remainder when a(b) is divided by k(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96711, 386940, 870663, 1547880, 2418591?\nAnswer: 3482796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w - 54. Determine d(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 9*j + 15. Let u be k(-8). Suppose 3*q - l - u = -5*l, 3*l + 114 = 3*q. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 18*c - 6. Let x be d(-2). Let g be (12\/x)\/(1\/(-7)). Solve 0 = o - 0*o - g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129226?\nAnswer: 2, 64613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + u = 9 + 3, -2*u = 3*v - 14. Let p(t) = -2*t + v*t + t**2. Let b(s) = -31*s - 9. Let x(q) = 15*q + 4. Let o(c) = -4*b(c) - 9*x(c). What is o(p(g))?\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 + 11*z. Let j(u) be the first derivative of -2*u**3 - 6*u**2 + 7. Let g(m) = 4*f(m) + 3*j(m). Find the second derivative of g(d) wrt d.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/7 + 116659227*m\/7 - 116659230\/7.\nAnswer: 3*(m - 1)*(m + 38886410)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000075511078 to seven dps.\nAnswer: 0.0000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1111101?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a491881 - -1?\nAnswer: a491882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**8\/6720 - u**7\/1260 + u**6\/240 + 5*u**4\/12 - 7*u**3\/6 + 4*u. Let o(b) be the third derivative of q(b). Factor o(i).\nAnswer: -i*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - (-3)\/(0 + -3). Solve 7*c - 15 = v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5. Let c(w) = 7*w + 10. Let k(h) = -h - 1. Let p(l) = a*c(l) + 5*k(l). Give p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 26 = l, -131751 = 4*c + 4*l - 131767 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263396?\nAnswer: 2, 565849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -28*o + 62. Let d(i) = 10*i - 21. Let k(q) = 17*d(q) + 6*n(q). Let h(p) = 2*p**2. What is k(h(r))?\nAnswer: 4*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.1, 0.4, 5.\nAnswer: -0.1, 0.4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*o*q**2 - 9775*o*q - 440*o - 60032*q**2 + 1 wrt q.\nAnswer: 250*o - 120064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/5 + 4821*c**2 - 145057647*c\/5 - 2472951257\/5 = 0. Calculate c.\nAnswer: -17, 12061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 5\/12*r**4 + 11\/6*r**3 + 0 + 3*r**2 - 1\/4*r**5 - 4*r. Let b(p) = p**3 - p**2 - 2*p - 1. Give 22*b(x) + 4*l(x).\nAnswer: 2*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(14\/(-8)). Let r = -3.756 - -8.756. What is the closest to k in -0.06, r, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(33 - 21*r + 8*r + 14*r)*(0 + 1 + 3) as k + l*r and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21.0149329838175 and -2.\nAnswer: -23.0149329838175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -0.3, -1, -6\/5, -0.4, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -17. Suppose -c - 13 = 4*z, m*z = -2*c - 12 - 2. What is the remainder when 7 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-24)\/252)\/((-65)\/5)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 + -154.7. Let v = 3 - -10. Let i = v - 18. Sort d, 1, i in decreasing order.\nAnswer: 1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 6070aac?\nAnswer: 6070ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-1\/9)*l**(1\/43) assuming l is positive.\nAnswer: l**(353\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 + 802*c - 3196. Let l be a(4). Calculate the highest common factor of 1476 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -10, 5, 0.19, -0.5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 573768 divided by -573768.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 13*a - 15*a, 59688 = 4*o + 8*a. Is o a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0339108855 to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1562*h*q*r**3 - 41*h*q*r**2 + 1996*h*r**3 + 7*h*r**2 - 71*h*r + 2*q*r - 5*r**2 wrt r?\nAnswer: 9372*h*q + 11976*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 2*m + 2 = -4*o - 6. Let y(z) = -z**3 + 3*z**2 - 4. Let l be y(o). Let f = l + 55. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-14) + -2*(-2 - -3). Find a, given that 0 - y*a**4 + 2\/7*a**3 - 2\/7*a**5 + 0*a + 2\/7*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let a(t) = -21*t. Let s(x) = a(x) - 28*z(x). Let o(h) = 3*h**2. Give o(s(v)).\nAnswer: 147*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5853 (base 12) in base 13?\nAnswer: 4641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 14*i - 9. Give p(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 5899.191 and -121.57.\nAnswer: 5777.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 1, e: 1, p: 1, j: 2, t: 1}. Give prob of picking 2 j and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35640 by -2.\nAnswer: -17820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6656 + 85663?\nAnswer: 92319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4384 is divided by 163.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75492827.\nAnswer: 229, 329663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 4. Let t = -7 + 13. Let z be v(t). Suppose -2*h - 1 = 7. Sort z, h, 0.1 in descending order.\nAnswer: z, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56189341, -56189343, -56189345?\n\"Answer: -2*o - 56189339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - -49) + -13 + (-4 - (-5 + -15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-36)\/216)\/(1\/92))\/((-2)\/108) is divided by 269.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + 5*4*(sqrt(832) + 2 + sqrt(832) - ((sqrt(13) + 2)*-5 + sqrt(13))))**2 + 0.\nAnswer: 198400*sqrt(13) + 2141504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(9\/(-2)))\/(-18 + (-3897)\/(-216))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4481 - -4481. Solve -272*s + 267*s + 30 = b for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 149280984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197094, 5, 21.\nAnswer: 5, 21, 197094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*f + 44 - 164 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (7 + -3))\/(10\/(-6))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - m + 4. Let u(c) = 3*c**2 + c - 5. Let g(h) = h**2 - 6*h - 4. Let y be g(7). Determine y*u(l) + 4*p(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42 and 109\/24 + (0 - 10\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/7*3\/((-18)\/7)*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h. Let m(i) = -i**2 - 14*i + 25. Let y(c) = m(c) + 6*x(c). Let n be y(-9). Which is bigger: 8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdt when three letters picked without replacement from qtddqttddtddqqqdq?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-4320)*-123 + 6\/(-10)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:50 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s**(1\/11)\/s)\/((s**(-3\/7)*s)\/(s\/(s*s\/((s\/(s**(2\/3)*s))\/s)))) assuming s is positive.\nAnswer: s**(-3499\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to -5288\/1335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149f7 (base 16) to base 5.\nAnswer: 10200341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v, 3*v = -0*k - 3*k + 48. Let x be (k\/24)\/(2\/9). Factor -4 + 6*w**3 + 4 + x*w**4 + 3*w**2.\nAnswer: 3*w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-6) + (1 - -19) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:28 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000176 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -163 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 - 14*p + 4. Let c(a) = -4*a**2 - 13*a + 5. Let z(l) = -5*c(l) + 4*r(l). Is z(5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60\/22021 in 1, -5, -0.88?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 3\/322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose 0 = n*i + 4 - 0. Let u = 9 + i. Solve u*j - 20 = 3*j, -j = l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21)\/(-84) + 282\/(-2216) and ((-69)\/14)\/((-3)\/4).\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**6\/360 - k**5\/120 - k**4\/8 - 2*k**3\/3 - 7*k. Let q(c) be the second derivative of n(c). Determine q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -6) + (-11 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121812570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + 12 - (-1 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*a + 75 = 0, -90*o + 93*o - 5*a - 5 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71095391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2) - (2 - -35).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5886.25 - -5892. Which is smaller: a or 17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26207 - -27?\nAnswer: -26170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/4 + -17. Which is smaller: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5492318062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1144?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667072 and 93184?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0439 - -0.4339. Let p = r - 7.79. Round p to one dp.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/15 + 112*l\/5 - 4704\/5 = 0.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, v: 4}. What is prob of picking 1 h and 1 v?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 11:59 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.76 - -0.8. Let f = -0.32 + v. Let z = f - 0.12. Which is the third smallest value? (a) z (b) 2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9600, 10223, 11276, 12771, 14720, 17135, 20028?\n\"Answer: 2*l**3 + 203*l**2 + 9395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -8. Let c(p) = -9*p - 18 + 7 + z. Let k(a) = 10*a**2. What is k(c(h))?\nAnswer: 810*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**(-2\/13)\/(n\/(n**(1\/7)\/n))**(-31) assuming n is positive.\nAnswer: n**(5323\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 12*r + 15. List the prime factors of c(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138 is divided by 601.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - -8) + -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from rbrgbwrqbqqrb.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636493 and 2431?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 7*r + 3. Let k(g) = g**2 - 7*g + 0*g**2 - 2*g**2 + 4. Let s(d) = 3*k(d) - 2*v(d). Let i be s(7). Solve -16 = i*u - 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -19.7. Which is the nearest to o? (a) 1 (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2575\/8 + -322. Let q = -5 + 5.3. Put q, c, -2 in descending order.\nAnswer: q, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 12*h - 259. Let z = h - -367. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2432, 2700, 3148, 3776, 4584, 5572, 6740?\n\"Answer: 90*j**2 - 2*j + 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 988 - 993. Sort t, -9, 0.09 in decreasing order.\nAnswer: 0.09, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/70*(-17)\/((-510)\/245).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + g + 5*o - 21 = 0, -3*o + 23 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*w**5 + 167*w?\nAnswer: 1280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -11 - 9 - (-1268)\/140?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 8\/12)*3. Solve s = -4*q - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5668103328 to the power of 1\/2, to the nearest integer?\nAnswer: 75287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 29*y. Let f(q) = 36*q**2. Give f(c(d)).\nAnswer: 30276*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 16 = -5*k. Let q be (-1359)\/(-15) - k\/(-20). Round q to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -6 + (3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9.18 * 0.17\nAnswer: 1.5606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 10) to base 2.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.7 in 0.11, 1\/4, -3, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22866 is divided by 588.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 95*l**2 - 275*l + 26133. Calculate s(95).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 33*x**2 + 30. Let s(l) = -17*l**2 - 16. Let f(p) = 11*s(p) + 6*t(p). Let b(m) = -56*m**2 - 21. Calculate 4*b(n) + 21*f(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 4*f**3 + 3*f**2 + 3*f**3 + 4*f - 2 + 3*f**2. Let n be c(4). Suppose -n = 4*g + 6, -4*g - 50 = -2*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4856.71 + 4715. Let r = -141 - q. Let y = -0.784 + r. What is y rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 3:27 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - f + 62 = 0, x + 4*x - 72 = -4*f. Let g(z) = 4*z**2 + 6*z - 4. Let a be g(6). What is the greatest common factor of a and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8646673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1164, -9837, -33376, -79215, -154788?\nAnswer: -267529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Let i(a) = a**2 + 6*a - 23. Suppose 141 = -11*n + 42. Let k be i(n). Sort -1\/5, h, k, 1.\nAnswer: -1\/5, 1, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -314, 0.002, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1773, 1766, 1745, 1704, 1637?\nAnswer: 1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-36)\/16)\/(-3))\/(18\/9989256) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 996555 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2621*j + 2617*j = -4*b - 12, j + 4*b = -22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 948*0.3.\nAnswer: 284.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, 2\/7, -10, 4\/7, 2\/11.\nAnswer: -10, -1, -1\/2, 2\/11, 2\/7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3507 and 862?\nAnswer: 302.3034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -334, -2 in decreasing order.\nAnswer: 3, -2, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -51.94056?\nAnswer: -2.0776224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 5*i**3 - 2*i**3)*(3*i + 2*i**2 - 3*i) + (-718*i + 87*i**5 + 718*i)*(1 - 1 + 2).\nAnswer: 178*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 42. Suppose -2415 = 6*g + g. Let i = g - -359. Calculate the highest common factor of c and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/17)\/(1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*v = 279*v + 1243*v - 62850 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 + 2*j**2\/9 + 14*j\/3 - 10.\nAnswer: -2*(j - 3)**2*(j + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 3948?\nAnswer: 35532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29893 and 167?\nAnswer: 29893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525524.\nAnswer: 2, 131381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 27. Let k be (a\/(-3))\/((-45)\/6). Let c = 1\/9 + k. Is -2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 30*j + 45. What is the units digit of r(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -505157.\nAnswer: 505158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**3 + 5*z**3 - 2*z**3)*(-1 + 2 + 6 + (0 - 3 + 1)*(-2 + 2 - 1)).\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6) + (2 - (-213)\/6). Let l = k + -26. Calculate the least common multiple of 66 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118370.\nAnswer: 2, 5, 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/(-24))\/(7\/(-2)). What is the smallest value in i, -9, 2\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let p(x) = -x. Let k be p(5). Let s be k*1\/5*-2. Let y(z) = -93*z + 2*z**s + 93*z. Determine j(y(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + 2*o**4 - 3*o**4 + (o + 2*o - 6*o)*(-4*o**2 + 6*o**3 + 4*o**2).\nAnswer: -17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -281, -573, -865, -1157?\n\"Answer: -292*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/22 - 4\/(-22). Suppose -3*y = -3*m - 33, 2*y - x = -m + 1. Let g be 24\/9*m\/(-4). Solve n + g*i = 4*n + 3, -2 = 2*n - 4*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + 1. Suppose 5*r - 10 + 0 = 0. Let n(g) = 2 - 2*g - 3*g + r*g. Let u(f) = -3*n(f) + 2*x(f). Calculate u(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -15\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*z + 3*z - 331, 5*s = 5*z - 550. Suppose 0 = 9*t - z - 26. Suppose -163 = t*v - 16*v. List the prime factors of v.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -407029*a**3*g**2*u**2 + 61*a**3*u**3 + a**2*g**2*u**3 - 2*a**2*g*u**3 - 32150337*a**2*u**3 wrt a?\nAnswer: -2442174*g**2*u**2 + 366*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 12. Suppose -t*m = 4*o - 97, 0 = -4*o - 2*m + m + 109. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/3)*g))**(-25)*(g**4*g)\/g*(g**(-1\/3)\/g)\/g*((g\/(g*g**1))\/g**(-4))\/((g\/(g*g\/(g*g**(-1))))\/g**(-1\/4)) assuming g is positive.\nAnswer: g**(265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -172, 4, -4 in increasing order.\nAnswer: -172, -4, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:33 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 13. Give t(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17123949 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -89961 - 122001.\nAnswer: -211962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937131427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -18*z**3 + 35*z**2. Let o(v) = v**3 - v**2. Let d(g) = -j(g) + o(g). Find the third derivative of d(s) wrt s.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -535?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9333, 9273, 9213, 9153, 9093?\nAnswer: 9033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*10*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 734 + -734. Which is smaller: -1\/53 or v?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21033, 41906, 62609, 83136, 103481, 123638, 143601?\n\"Answer: -z**3 - 79*z**2 + 21117*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 779\/11 + -71. Let v = 33 - 36. Put z, v, 3 in decreasing order.\nAnswer: 3, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13044521 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117934211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-1056)\/(-22)))\/((-29)\/6).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(sqrt(130) - (sqrt(130) - (sqrt(130) + sqrt(130) + 1*sqrt(130)*-3))))\/((sqrt(80)*1)\/sqrt(8) + (sqrt(10) - (sqrt(160)\/sqrt(4))\/sqrt(4))))**2.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2351336885 from 31232.\nAnswer: 2351368117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l - 80. Let z = -24 - l. What is the closest to 0.1 in z, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-16) - 6\/4. Does 19 divide -92*(-1 + p\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -2*y - 2*l, y + 3*l - 3 = 57. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n - 104. Let x = n + -28. What is the lowest common multiple of ((-27)\/(-12))\/(x\/(-17 + 1)) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66684192*j**3 - 146990*j**2 + 5*j + 6 wrt j?\nAnswer: -400105152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 31*f**3 - 330*f**2 + 604*f - 116. Let k(n) = -63*n**3 + 660*n**2 - 1206*n + 231. Let o(i) = 4*k(i) + 9*x(i). Determine y so that o(y) = 0.\nAnswer: 2\/9, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/6 + 2*h**3\/3 + 2*h**2\/3 - 8*h\/3 = 0. What is h?\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 1\/3*h**3 + 6*h**2 + 0*h - 3\/20*h**5 + 0*h**4 + 0. Find the first derivative of i(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6898 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8780679, 17561345, 26342011, 35122677?\n\"Answer: 8780666*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649457?\nAnswer: 649457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.12798l?\nAnswer: 7127.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 35 - 47 - (1 - -59)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*r = -4, 3*r - 4*r + 4 = 2*d. Let w(t) = d*t - t + t. Let o(n) = n. What is w(o(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 122?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a - 4. Let w(o) = 8*o - 5. Let v(z) = 5*d(z) - 4*w(z). Let x(s) = s**2 + 5*s + 2. Let l be x(-5). Let n(g) = -3 + 3 + l*g. Calculate v(n(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.193ml in litres?\nAnswer: 0.849193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.73266 millimeters to meters.\nAnswer: 0.04273266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:46 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26258.\nAnswer: 2, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1677509, -1677502, -1677495, -1677488, -1677481, -1677474?\n\"Answer: 7*u - 1677516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 5548.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1*(-3 + 2). Suppose 0 = -z*v + 7*v - 1028. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*c = -33*c. Which is greater: -6\/43 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*t**4 + 25*t**3 - 180*t**2 - 100*t.\nAnswer: 5*t*(t - 2)*(t + 2)*(9*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/5 - 8982*i**4\/5 - 17958*i**3\/5 - 8978*i**2\/5 = 0. Calculate i.\nAnswer: -4489, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrrcrrrcrr. Give prob of picking 3 r.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*j**2 - 984442*j + 262520.\nAnswer: -2*(j + 32815)*(15*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert -6332 (base 12) to base 16.\nAnswer: -2a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, o: 3, y: 3, g: 4, h: 2}. Give prob of picking 1 y and 3 v.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17840)\/(3\/30*-4). What is l rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1213533 + 2?\nAnswer: 1213535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3503 + -3473. Let x = -6 - -5. Put -0.2, 0.4, x, j in decreasing order.\nAnswer: j, 0.4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 230\/12491 or 0?\nAnswer: 230\/12491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = q + 3*z, -7 = 4*q + 3*z - 2*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 34*a. Let q(i) = 240*i. Give 2*q(l) - 15*y(l).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 - 33*r**2 + 58*r**2.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 5:39 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.7 + -0.7. Let k be (-18)\/14 - (-4)\/14. Let s = -19988 + 19984. Which is the second smallest value? (a) k (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015635 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:38 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**4 - 28*a**2 + 23*a**2 - 9*a**4 + (0*a + 0*a - 2*a)*(a**3 - 5*a**3 + 3*a**3) in the form n*a**4 + z + h*a**2 + x*a + j*a**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*h - 53 - 33, -h + 93 = -22*x + 26*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 222*b - 2054. Does 3 divide q(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -203.263\nAnswer: -202.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*f - 20940. Suppose 5*z = 3*m - f, -4*m - 54*z + 4605 = -51*z. What are the prime factors of m?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 5*h + 2*h + (2 + 3 - 3)*(-2 - 2*h + 2) + 5*h - 4*h + h + 3*h - 3*h - h + 417 - 417 - 21*h + (-165 - 24*h + 165)*(4 + 1 - 3).\nAnswer: -74*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901561107?\nAnswer: 3, 23, 263, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + 1784*h**2 + 2116*h - 294689. Give z(893).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 2*v - 5. Suppose -3*l = a + 18, 2*l - 3 = -5*a - 2. Let d(i) = 3*i**2 + 3*i + 7. What is l*f(g) - 5*d(g)?\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let z(t) = 19301271*t. Give z(r(b)).\nAnswer: -19301271*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -451 + 548. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 2, 56\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 25*d**2 - 10*d - 7. Let o(t) = 38*t**2 - 11*t - 8. Let m(x) = 2*o(x) - 3*q(x). Let y be 0 + -4 + 2 + -7. Calculate m(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(2*g - 2*g + g) - 22*g - 6*g + 2*g + (-g + 4*g - g)*(-1 + 5 - 3) - 9*g - 4*g + g to b + k*g and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-3)\/4 + (-6731)\/(-7620))\/((-18)\/20)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/126*(-350)\/(-30)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuui when four letters picked without replacement from {p: 12, i: 1, u: 3}?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - (-8 + (-9 + 20 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + 545*8\/(-48))*-6 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*s - 87 = 6. Let y = 11136 + -8541310\/767. Is s less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*a + 22, -2*m + 1515 = -6*a + 1463 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 61) + -161 + (241 - 69).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 6, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**5*u**(-6))**1 assuming u is positive.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 42. Solve -h = -5*x - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2001\/905 - (7\/(-42))\/(460\/(-6072))\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 + -38 + 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(7) - 3*(sqrt(7) + sqrt(28)))**2 - (sqrt(28)\/sqrt(4) + 2 - 4*-2*sqrt(7))) + sqrt(14)\/sqrt(2) + 2 + -4 + sqrt(14)\/(sqrt(18)*-4).\nAnswer: -889*sqrt(7)\/12 + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 9 - (-11 + 2) - 4) + (2 - -24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (495\/84)\/11 + (-2)\/7. Let p(z) be the second derivative of -3\/20*z**5 + 0*z**2 + 0 + i*z**4 + 2*z + 0*z**3. What is the third derivative of p(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299596395 to the nearest integer?\nAnswer: 17309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -15. Let a(p) = -p**2 + 11*p - 8. Let w be a(8). What is the greatest common factor of k and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26124511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -154*y - 1. Let h be q(6). Suppose 3*r = -3*v - 1572, 4*r + 2041 = -3*v - 59. Let m = r - h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78581476 rounded to the nearest 10000?\nAnswer: 78580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -676.888574 to 2 decimal places.\nAnswer: -676.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2040 - 2040 + 65*a**2 + (2*a + 2*a - 6*a)*(-2*a - 2 + 2) + 3*a**2 - 4*a**2 + 4*a**2.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*f, -k - 202 = -3*k - 4*f. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102.58 + -106.58. Let o = -22 - -45. What is the biggest value in c, o, -5\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (153\/(-6))\/(1\/(-2)) is divided by 14 - (2 - 1\/1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7646900 to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/70 and -42\/31.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-3))\/((-3)\/6))\/((-81)\/((-3402)\/4900))?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4 = -k. Let a be 0\/((-8)\/(-2)) + k. Solve 0 = j - 5 + a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -92\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1231 = 4*d + 2*h, -d = -3*h - 253. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 4. Let r(a) be the second derivative of -a**2\/2 + 55*a. Give g(v) + 3*r(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by -2 - (-85 + 70\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 44*x. Let j(p) = -9*p. Let l = 21 + -27. Let d be 140\/l - (-2)\/(-3). Determine d*j(c) - 5*m(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + 7*d**2 + 12*d - 16. Let x(g) = 24*g**3 - 19*g**2 - 35*g + 49. Let m(u) = -7*r(u) - 2*x(u). Determine m(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) -4 (c) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (5 - 0) - -12. Let s be ((-175)\/v)\/((-2)\/12). Suppose 2*k + 84 = 4*a, 0 = -0*a - 3*a - 2*k + s. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 504, -2, -3, 4, -1, -46?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*a + 725 - 1346 - 4092 = 879 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -26*x - 55. Let w(b) = 21*b + 54. Determine 4*t(k) + 5*w(k).\nAnswer: k + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 2*c - 2*c)*((3*c - c - c)*(-8 + 3 + 3) + c - 23 + 23) to k*c + z*c**2 + a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 5. Let u be o(4). Let i be (-1)\/u + 40\/(-32). Let d = -1 - -1. Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14325 times 0.4\nAnswer: 5730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -9*p + 29. Let a be (p + -1)\/(4\/(-16)). Let k(z) = -124*z - 15. Is k(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:55 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 7*f**2 - 6*f + 10. Calculate u(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 270. Let f = 58349677.000319 - 58349589. Let t = f + x. What is t rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*w - 2, -1 = 5*s - 5*w + 4. Suppose -4*i = -0*i. Solve j + s*j + 9 = i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 6 + 1 + -9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-1) - 35\/9. Which is the biggest value? (a) -1 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 9*b**2 + 109*b - 203. Calculate the remainder when 663 is divided by k(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4639747 * 20\nAnswer: 92794940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, j: 12}. What is prob of sequence jjij?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:53 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197914522.\nAnswer: 2, 13, 7612097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 544, 784, 1008, 1210, 1384?\nAnswer: 1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 7*s**2 - s + 7. Let a be 4\/(-3) - (-1)\/3. Let n be (a - -16)\/(-3) + -2. Let c be h(n). Solve -2*b = c - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006412 is divided by 123?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 0, 2*w + 5 + 7 = 22*n + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145854159 to the nearest integer?\nAnswer: 12077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 390, 1012, 1862, 2934?\nAnswer: 4222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19839761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**3 - 2*m**2 + 2*m. Let l = -3 + 4. Calculate the remainder when i(2) is divided by l\/(-2) + 21\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6 - 20 = 5*x, 5*x - 2*b = -24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -551 + 50?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 2*u + 3392, l + 5*u = 3420. What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/105)\/(8*(-4)\/(-240)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539) - (sqrt(1539) - (5 + 1*sqrt(1539)))) + sqrt(1539))*-1)**2.\nAnswer: 180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1083*j**3*o**2 + 3130*j**3 + 4624*j**2*o**2 - 2*j*o**2 - 1279*o wrt o.\nAnswer: 2166*j**3 + 9248*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -113 times -0.5872\nAnswer: 66.3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orroqrqrqor. What is prob of picking 1 q, 2 r, and 1 o?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/3 + 2088*x**3 - 1583732*x**2 + 1378709080*x\/3 - 46317188902.\nAnswer: -2*(x - 2181)*(x - 317)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -11298\/13, 100.\nAnswer: -11298\/13, 0.04, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/102 + (-91812)\/(-102) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsswwwwwsw. What is prob of sequence ww?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.3 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68100)\/(-524370)*((-336)\/10)\/(-4).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 13 - 33. Suppose 1 = -m*g - 3*r + 4, -2*g = -2*r + 2. Is 2\/3 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 53. Let w be x\/15 + (-4)\/(-10). Sort -1, -2, w in ascending order.\nAnswer: w, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 396*t - 501. Let p(y) = -797*y + 1002. Let k(r) = -13*f(r) - 6*p(r). What is the derivative of k(l) wrt l?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1268*l + 1258*l - 4*l**4 + 15*l**2 - l**4.\nAnswer: -5*l*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*6\/(-63) - 4\/14. Suppose d = -p - 5 + 46. What is the remainder when p is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 35470 + n**2 - 35470 - 24*n + 24*n. Let u(h) = 189*h + 24. Calculate u(c(k)).\nAnswer: 189*k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + 4*o + 4. Let x(i) = -11*i**2 - 3*i - 3. Let b(l) = l + 1. Let v(d) = -6*b(d) + x(d). Determine 9*t(p) + 4*v(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -4.18. Round r to 1 dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + (sqrt(1500) - 1*sqrt(1500))*-2 - sqrt(1500))\/((2*sqrt(30))\/sqrt(6) + (sqrt(100)\/sqrt(4) + sqrt(25))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 95720.22m?\nAnswer: 95720220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15183 and -3?\nAnswer: 45549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/4 - g**3 + 9*g**2\/2 - g + 4. Is k(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1192595.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*((b*b*b*b*b*b\/(b*b\/(b**(-3)\/b))*b*b*b*b)\/b)\/b*b)**(-1\/17)*(b**1)**(-2\/19))**(5\/9))**(-36) assuming b is positive.\nAnswer: b**(2580\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.807661 millilitres in litres?\nAnswer: 0.009807661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363988 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*y - 259*y + 11693 = 2877 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*y + r + 92, y - 33 = -3*r. Let i be (y\/90)\/((-3)\/(18\/(-4))). Let h = 1.1 - 0.1. What is the second biggest value in i, h, 0, 2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34720 and 4320?\nAnswer: 937440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -494*h - 779 - 278 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*5\/24)\/((-6762)\/168 - -41).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 902*q + 11046. Give n(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/7 (b) -17 (c) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from vvqvqvq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91701 is divided by 52.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.06 (b) 33\/25 (c) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 299*t - 20265. Calculate y(-56).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2417, -4557, -6425, -8027, -9369, -10457, -11297?\n\"Answer: -c**3 + 142*c**2 - 2559*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*t - 3*v + v - 44, -14 = -5*t + v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-6))\/(2\/(-4)). Let k = 0.1589 + -0.2289. Let r = 2 + -3. What is the closest to k in t, -2\/11, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479044639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 2)*6\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 6 = -2*x, -2*u = -11*x + 8*x + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 38*y - 172. Let l be n(5). Let k be l\/(-4)*((-300)\/63 + 4). Suppose 0 + 4\/7*a**4 + 36\/7*a**2 + k*a**3 + 16\/7*a = 0. Calculate a.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - (-26)\/4. Suppose -45 = -8*i - 5. Sort -3, i, p, -1 in decreasing order.\nAnswer: p, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -s + 18, 6*k - 9 = 3*k. Solve 2*y + s = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12360033.\nAnswer: 3, 7, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-960)\/(-56) - 17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 - 52. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5184\/5*i + 2016*i**2 - 56*i**4 - 4612\/5*i**3 - 4\/5*i**5.\nAnswer: -4*i*(i - 1)**2*(i + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 72. Suppose 2*j = 3*j - 5*a - 27, 4*a = -3*j + 24. What is the greatest common factor of j and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 107. Suppose 16 = l*q - 14*q. Solve 3*b - 14 - 14 = -4*p, 0 = -3*b + 2*p + q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 z when three letters picked without replacement from zzkzhzrrzhzezkz.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2 - 5*r + 5. Let h(u) = -22*u**2 + 12*u - 12. Let v(q) = -5*h(q) - 12*t(q). Let p(x) = 4*x + x + 2*x - 4*x. What is v(p(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 255*m - 522. Give b(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*b - 69*b - 42*b - 55*b + (7 - 1 - 4)*(3*b - 2*b - 2*b).\nAnswer: -153*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-3)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - y**2 - y + 4. Let s be g(0). Suppose -3*k = -3*v - 2*v - 32, 2*v + 4 = -k. Solve s = k*h - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102537371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000331909 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 12*r + 6. Calculate w(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.1 (b) 0.01 (c) 118 (d) 0.06 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -218 + 1160. List the prime factors of b.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (17 + 62 - 20) - 18.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 492 = 96. Let p be 6\/u*((-4 - 0) + -2). What is the nearest to 2\/3 in -1\/5, p, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*h**2 - 9*h - 1 wrt h.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qql when three letters picked without replacement from lqwwqllwplq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 293*j**2 + 25*j - 54. Suppose -2 = z - 4*c, 5 - 2 = 3*c. Is 16 a factor of w(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134.5 - 133.08. Put -3\/5, -5, u in decreasing order.\nAnswer: u, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(10\/4 - (3 - 1)). Let k(l) = 32*l + 32. Let t(w) = -w**2 + 64*w + 65. Let q(m) = n*t(m) + 9*k(m). Let q(g) = 0. What is g?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 18*h + 49. Let w be o(-14). Let p = -722 - -2147\/3. Is p at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**14\/(((g\/g**(-4\/17))\/g)\/g))**(-43))**(-26) assuming g is positive.\nAnswer: g**(280618\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/987504 and 17\/211608.\nAnswer: 2962512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 13 + 14 + 6*n**2 + 9.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(8\/(-2) - -6). Let m(u) be the second derivative of 0 + 1\/12*u**4 + p*u**3 + 3*u + 0*u**2 + 1\/20*u**5. Factor m(q).\nAnswer: q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 5}. What is prob of sequence fhhf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0037 + -0.0963. Let z be (-2)\/8 + 1\/4. Suppose 8 = -z*g - 2*g. Which is the second smallest value? (a) g (b) u (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123023 + 220323?\nAnswer: -302100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -8, -0.7, 1, -70, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 5*a + 5*f, 0 = 2*a - 5*f - 24. Suppose -4*r + 3*m = -32, -3*r - a*m + 27 + 14 = 0. Find the first derivative of 0*s - 10 - 1 + r*s wrt s.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*l**3\/5 + 10359*l**2\/5 - 1832*l + 2032\/5.\nAnswer: -(l - 127)*(9*l - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 10 + 6. Let h be (4 + -1)\/(1\/1). Put -1, h, c in descending order.\nAnswer: c, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + q + 145 = -463, 3*c + 912 = -q. Let r = c + 717. What is the greatest common factor of 59 and r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -251033?\nAnswer: -251025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 23*k**2 - k - 20. Let y = -34 + 50. Calculate the remainder when y is divided by t(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85.6 - -48.3. Let t = 37 + j. What is the nearest to t in -0.5, 1\/7, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(sqrt(78) + -1*sqrt(78)) + sqrt(78) + sqrt(78)))\/(-4*sqrt(66)\/(sqrt(11)*-5 + sqrt(11))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 867912013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -1, 25\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311440303 (base 6) to base 2.\nAnswer: 10100100110110011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, p: 2, i: 1, k: 1, y: 1}. What is prob of sequence ir?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) 5 (c) 2 (d) 0 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 <= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*i - 1875. Suppose -14*k = 11*k - i. What is the remainder when 95 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 != -253\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 16 + 0*g**5 + 0*g**3 + 37\/6*g**6 + 0*g**4 + 0*g + 57\/2*g**2. Find the second derivative of t(c) wrt c.\nAnswer: 740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 1, p: 14}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 50*m - 14. What is i(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + 44. Suppose -3*o - 3*s + 51 = 0, -4*s - 95 - 101 = -8*o. Calculate the remainder when x is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07403397 rounded to five decimal places?\nAnswer: -0.07403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.36 - -77.86. Let n = v + -74. Which is the second biggest value? (a) 5 (b) -1 (c) -3\/7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4314?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 - 5.8. What is the nearest to -0.2 in p, -23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose -943 = -3*j + x, 0*j - 5*x - 959 = -3*j. Let q = -310 + j. Solve q*r - 6 + 15 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.045, -1\/4, 1.\nAnswer: -1\/4, 1, 5.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11))**2 + -1 - (sqrt(11) - (-1 + sqrt(44))).\nAnswer: -sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 6 = 2*y - 16*l, 9*y - 34*l = 7*y + 38 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -524 + 1500?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4758)\/130 + (-3)\/(-5). Let l be (-6)\/10 - h\/10. Let f(q) = -q**3 + 3*q**2 + q - 3. Let z be f(l). Solve -3*j + 3*g = z, 2*j - 3*g - 2 + 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbb when three letters picked without replacement from {b: 4, z: 14}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -167*s**2 - 179*s**2 + 340*s**2. Let z(i) = -17*i - 4. Calculate y(z(l)).\nAnswer: -1734*l**2 - 816*l - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10100214000 + 3?\nAnswer: -10100213442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 3. Let w be g(-5). Suppose 0 = h - 2*v + 2, h = -w*h - v + 1. Suppose -t + 0*p - 14 = -5*p, -4*t = 2*p - 10. Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/8 - 85*o**4\/8 - 653*o**3\/4 + 1941*o**2\/2 + 2511*o = 0.\nAnswer: -62, -27, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -439*z**3 - 6*z**2 + 25*z + 25. Is q(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.35121 to two dps.\nAnswer: -20.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1067 is divided by 958?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153) + sqrt(153))**2 + 5 + sqrt(153) + ((2 + sqrt(153))*-1)**2)*4.\nAnswer: 60*sqrt(17) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 j when three letters picked without replacement from {x: 2, j: 18}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 + 6 - 17\/(-1). Calculate the highest common factor of 275 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 25*b + 70 = 0, -4*w + 3*b + 126 = 131 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 177*f*y**2 - 5*f*y + 15*f - 40995*y**2 wrt f.\nAnswer: 177*y**2 - 5*y + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4469876, -8939759, -13409646, -17879537, -22349432, -26819331?\nAnswer: -31289234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-87)\/(-1) + (22 - (35 + -17)). What is the greatest common divisor of q and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 50 = 2*y, -x = y + x - 27. Calculate the remainder when y is divided by 25\/(-40)*-4*(-4)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574158516 by -35396.\nAnswer: -16221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 3 - 2)*-139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 257 + -36a?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 0 + 3\/2*u**3 + 0*u.\nAnswer: 3*u**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/16)\/((-2)\/(-8)). Suppose -3*q = -1 - g. Solve -c = q*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*o - 82 = 0, 101 - 71 = g - 3*o. Suppose -q - 405 = -6*q. Calculate the highest common divisor of q and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a second?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3953 is divided by 788.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 157580?\nAnswer: -31\/157580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6787273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**2. Let a(n) = -6*n - 200. Give a(k(z)).\nAnswer: 36*z**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1*2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1216)*1*-2 + 1 + -1 + 1*(-1*sqrt(1216) + sqrt(1216))*-2)**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.494151 centimeters to micrometers.\nAnswer: 44941.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 4:12 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112828 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = 66. Calculate the common denominator of (i\/(-40))\/((-42)\/245) and 13\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 137, 136, 135, 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 - (-1)\/(-1). What is the units digit of (-3)\/6*h + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656 and 4100?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-18))\/((-28)\/42*1\/16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15447, 15184, 14921, 14658, 14395?\nAnswer: 14132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 723505 >= 723505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o + 8. Let g be x(8). Let p be g\/(-12) - (-1)\/3. Suppose 58 = p*d + z - 5*z, 4*d = 2*z + 44. Calculate the remainder when 39 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*m - 4*t, -4*m + 28 + 22 = -2*t. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10450 + 10445. What is the third smallest value in y, 4\/27, -0.1, 3, 1?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 9*z**2 - 9*z + 15. Calculate the remainder when d(10) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6005127um?\nAnswer: 600.5127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2161 + 3528. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77798 or 77796?\nAnswer: 77798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:50 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/(-3*3\/(-702)). Let i = u + 64. Calculate the lowest common multiple of 2\/8 + 33\/i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6\/5*p**4 + 0*p**3 + 0 - 9\/5*p**5 + 0*p**2 = 0. What is p?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 11295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(27)\/sqrt(3)) - (sqrt(11) + -1*sqrt(44)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4 = -k, -3*k = f - 21. What is the highest common divisor of 126 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-5))\/((-12)\/(-40)). Let p(t) = -t**3 - 8*t**2 - 2*t - 8. Let s be p(g). Let f = s + -2. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grgg when four letters picked without replacement from urguguuicguuuug.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*g + 27*g - 26*g)*(6 - 3 - 2) + 0*g + 2*g - 3*g + (g + 1 - 1)*(0 - 3 + 2) + 0 + 0 - 2*g - g + 0 + 0 - 2*g + 2*g + g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*p = -38, -11885*s - 3*p - 71 = -11884*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 86, 169, 252, 335?\n\"Answer: 83*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 231\/55)*10\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-1)*126\/(-8). Let i be -44 + -13 + (-25)\/(-5). Let r = g + i. Calculate the remainder when 35 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - (-4)\/16. Let g be i\/(-2*(-2)\/(-4)). Suppose 0 = -2*z - 10, -k + 6*z - z + 36 = g. What is the greatest common factor of 55 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6597.835 millilitres?\nAnswer: 6.597835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 267.6646 micrograms?\nAnswer: 267664.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364616 is divided by 5820.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22428 divided by -18\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -7\/3837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -7033*w**6\/30 + 5176*w**3\/3 - 8229*w. Find the second derivative of n(x) wrt x.\nAnswer: -84396*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2699 - 10*j - 2701 + 7*j. Let g(h) = -1. Determine -2*g(c) - y(c).\nAnswer: 3*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3055 + -2767. What is the lowest common multiple of 7 and h?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-k**4 + 2*k**4 + 0*k**4) - 2*k**4 - 4*k**3 + 4*k**3 + 2*k**4 - 7318*k**3 + 7249*k**3 - 5 - 3*k**4.\nAnswer: -4*k**4 - 69*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -352*g + 1448. Give k(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 465 - 454. What are the prime factors of ((-5467)\/(-21))\/k*6?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + o**2 - o - 1. Let l(h) = 3*h**3 - 170*h**2 + 2*h + 3. Give -l(n) - 2*x(n).\nAnswer: n**3 + 168*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*z**2 + 2601\/2 + 51*z.\nAnswer: (z + 51)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.1 + -1.9. Let w = z - -13.1. Which is the smallest value? (a) w (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11755450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525, -2775, -8877, -20757, -40341, -69555, -110325, -164577?\nAnswer: -234237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 282 + -186. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(5\/20). Suppose -2*z - c + 14 = 0. Suppose 0 = 3*o + 4*p - 70, 4*o - z*o + 43 = -p. What is the lowest common multiple of 12 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(475))**2 - sqrt(475)).\nAnswer: -15*sqrt(19) + 1425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q - 8. Suppose -3*r - 2*r = 15, q*v - 285 = -r. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5478 and 437877?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcfpidcp. What is prob of sequence dic?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181989.\nAnswer: 41, 127, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9848 or 8233?\nAnswer: 9848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/195, -3, -1\/2, 2\/57, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -697 + 2612. What are the prime factors of a?\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -73194 and 206867.\nAnswer: 133673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10639991560 rounded to the nearest one million?\nAnswer: 10640000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8911 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -599, -1, 7, 5, -3 in decreasing order.\nAnswer: 7, 5, -1, -3, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 + 500 = -3*y. Let n be (-3030213)\/y + 4\/10. Let d = -9181 + n. Find the common denominator of 73\/12 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206625 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2718*j**2 + 39*j - 2720*j**2 - 39*j. Let d(x) be the first derivative of 29*x**3 - 4. Calculate d(w(y)).\nAnswer: 348*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*v + 107*v - 104371 = -1466*v for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a + 4. Let t be g(3). Let p = 4 + t. Let k = 0 - 0. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 1. Let c be q(1). Let w(n) = 8*n**2 + 19*n + 1. Let j(f) = -4*f**2 - 9*f. Let z(r) = c*j(r) + 2*w(r). Factor z(i).\nAnswer: -(i + 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*28\/(-91) + (-2 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/8 - 1197*h**2\/8 + 7263*h\/8 - 10935\/8.\nAnswer: -3*(h - 3)**2*(h + 405)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/120 - f**5\/15 + f**4\/12 - 4*f**2. Let s be n(4). What is w in -8*w**3 - 5*w - w**3 + s*w**2 + 3*w**3 + 3*w = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*o + o. Let g = 4 - o. Let k be 0 + 2 + -1*5. Put 3, k, g in increasing order.\nAnswer: k, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 272226, 272234, 272246, 272262?\n\"Answer: 2*v**2 + 2*v + 272222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67967 - -103542. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*j - 43 = 1942, 5*c - 2000 = 2*j. What is the highest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x + 16. Let u(w) = -w - 1. Let o(q) = -a(q) - 4*u(q). Let n be o(-7). Calculate the greatest common divisor of 75 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + v - 37577 = 0, 4*s - 75136 = 21*v - 17*v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005216 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-312)\/(-4) - (5\/(-15))\/((-1)\/18). Solve 4*v - 79 + j = y, 4*y = 4*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 761 divided by 1.\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 4*f - 5 - 1\/4*f**4 + 3*f**2 + 1\/2*f**3. Let c(n) be the first derivative of r(n). Let c(g) = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 8. Is 2 a factor of p(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-828))\/((-4834)\/21753).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/(-5) - -2)*-20. Let i be -50000*105*-1*8\/j. What is i rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -5, -0.4, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**3 - 2*k**2 - 7*k - 6. Let t be u(-4). Let h be (16\/(-12))\/2 + t\/3. Let d = h + 375. List the prime factors of d.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/140 + (-50)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 348 and 550.\nAnswer: 95700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -286198 divided by 6?\nAnswer: -143099\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 10\/(0 - 6\/(-204)) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-46)\/4 - -1)\/((-6)\/108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4 - 96*f**3 - 4894*f**2 wrt f?\nAnswer: 24*f - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/77 and 19\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1125, 2509, 6277, 13623, 25741?\n\"Answer: 199*h**3 - 2*h**2 - 3*h + 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - j**2 - 2*j + (-2*j**2 - 2*j + 2*j)*(6 - 3 - 2) - j**2 + 1 - 1 - 5*j**2 + 0*j**2 + 3*j**2 + 1 - 3*j**2 - 1 as n + o*j**2 + x*j and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 - 2*p - 12. Let i(r) = -r + 2. Let j(k) = 4*i(k) + z(k). Suppose 5 = 4*m - 23. Calculate j(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 5:21 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 747185651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.80958131 rounded to the nearest integer?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 - 24*s**2 - 30*s**2 - 38*s**2 + 92*s**2.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -352? (a) -5 (b) -11 (c) 21 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 2*i - 50 = 13 - 23, 4*p = -4*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6641 and -17.72.\nAnswer: -11.767852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 - 125*o**3 + 763*o**2 + 690*o + 1729 wrt o.\nAnswer: -24*o**2 - 750*o + 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from rpzpedd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560 a factor of 65758308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 14*g**2 - g - 6. Determine t(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 60. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127\/4 - -747\/20. Find m, given that 2*m**2 + l*m - 6\/5 = 0.\nAnswer: -3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5391 (b) -2\/7 (c) 10 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 619*j**4 + 80*j - 23?\nAnswer: 7428*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1096358741.9938 + 1096225600. Let c = 133131 + k. Let s = -11 - c. Round s to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 9*h + 17948 = -67984. What is the remainder when 5214 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/14 and 21\/47399020?\nAnswer: 331793140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 1)*(-2 + 11 - 38)*(4 - 3 + 1)*(-2*d + d - d) + 0*d - 3*d + 0*d + (1 - 1 - 1)*(d - d + 2*d) - 2*d - 2 + 2 in the form j*d + r and give j.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*p**(2\/25)\/p assuming p is positive.\nAnswer: p**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 26*r + 27*r + 33*r + 90 - 85*r. Suppose 0 = y + y. Let q be a(y). Calculate the greatest common factor of q and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 336.465?\nAnswer: -336.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1992620 and 16367950.\nAnswer: 229151300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 441?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*d - 66 = 0, 4*z = -z - d + 68. Let q be 2\/6 + z\/3. Find the third derivative of 3*c**q + c**5 + 0*c**5 - c**2 wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1640 and 16876010.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/320 and 27\/800.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + (-2 - (-481)\/13).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 10912.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((5 - 4)*4). What is the second smallest value in -2\/3, x, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - 4. Let x(p) be the third derivative of -p**4\/12 + p**3\/3 - 47*p**2. What is 6*f(l) + 14*x(l)?\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00415032 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(350)\/((2*sqrt(77))\/sqrt(11)) + -1)**2.\nAnswer: -10*sqrt(2) + 33\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 5*g**4\/12 - g**3\/6 - g**2 + 3*g. What is the least common multiple of v(2) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33385 is divided by 8323.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -264012 and -9?\nAnswer: 2376108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480972 is divided by 2784?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*f + 9, -18*m = 5*f - 15*m + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83 - -92) + (2 - (-9 + -1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 12*r + 11. Let o(g) = 17 - 5 - 2*g**2 - 9*g - 3*g. Let u(n) = 3*k(n) - 4*o(n). Calculate the remainder when 14 is divided by u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzezmmmz. What is prob of picking 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65896*h**3*x**3 + 9*h**3 - 1265156*h*x**3 wrt h.\nAnswer: -395376*h*x**3 + 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, h: 3, j: 1, g: 4, w: 4}. What is prob of picking 1 j and 2 h?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/15 - 2*d**4\/3 - 66*d**3\/5 + 2*d**2\/3 + 740*d\/3 + 400 = 0.\nAnswer: -5, -2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.13 - 0.13. Let x = 10.5 + -5.9. Let s = p - x. Which is the second biggest value? (a) -1\/5 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1120 and 11424992?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4\/(-4) + 40. Suppose 2*j - g = -8*p + 4*p, 0 = -5*j + 15. Suppose w = p - 3. Solve 0 = 2*q - 1 - w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 410 + 483 = j, 0 = -24*j - 3*x + 114 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t. Suppose 6 = -t*f + f. Solve f*w = w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534750076789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let n(l) = -2*l + 4230423. Calculate n(x(k)).\nAnswer: 2*k + 4230423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -3*o + 107, o - 49 = 4*b. Calculate the greatest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6048431?\nAnswer: 6048431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*t - 138*t**2 + 263*t - 33*t**2 + 272*t.\nAnswer: -171*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39876.55kg in milligrams?\nAnswer: 39876550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/7 + 38*p**4\/7 + 174*p**3\/7 - 38*p**2\/7 - 176*p\/7 = 0.\nAnswer: -11, -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 + 24*u - 4. Give w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2597309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tia when three letters picked without replacement from {a: 2, t: 3, y: 3, i: 6, g: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21642, -21618, -21572, -21498, -21390?\n\"Answer: g**3 + 5*g**2 + 2*g - 21650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 3*u**3\/2 + 7*u**2\/2 - u. Let s(l) = -17*l - 13. Suppose 700*p - 695*p + 2*n = 21, p = -4*n - 57. Give p*a(c) + 6*s(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:10 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 578838.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12170 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 4, 12 = 2*p + 35*d - 31*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46088 and 330?\nAnswer: 7604520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 220457, 882046, 1984713, 3528464, 5513305, 7939242, 10806281?\n\"Answer: t**3 + 220533*t**2 - 17*t - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 - 9*t - 8*t**3 + 4 - 9 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1050043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9133 - 2314 + 11993 + 6183 + 7600)*(2*n - 2*n - 2*n)*(-4 + 3 + 0) to the form t*n + c and give t.\nAnswer: 65190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.062 in -4\/3, -0.5, -2, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (212\/18)\/((24\/((-12528)\/(-145)))\/(20\/16)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2*g**2 + 3*g**2 - 3*g**2) + 3415032 + 6*g**2 + 4*g**2 - 3415022.\nAnswer: 8*g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 6\/17, -86.\nAnswer: -86, 6\/17, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2410, 2430, 2450, 2470?\nAnswer: 2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1005 (b) 2293 (c) -4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o + 44 - 80 + 38)*(2*o**2 - 18*o**2 + 3*o**2)*(3*o + o - 3*o).\nAnswer: -91*o**4 - 26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -12. Let h = n - -4. Let g be (-3)\/(-14)*(-4)\/(-3). Sort -1\/3, g, h in ascending order.\nAnswer: h, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6057218*p - 4400181 wrt p?\nAnswer: -6057218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*q + 191*q + 81*q - 561350. Calculate the remainder when q is divided by 184.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from fffnfqfnnnffqfn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 1.0713 (c) 0 (d) 0.3 (e) -259 (f) 0.2 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 6 - 2. Sort 7, j, -3 in decreasing order.\nAnswer: 7, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -112 - 5*g + g + 220 - 5*g - 106. Let f(d) = 217*d - 49. What is -2*f(t) - 49*r(t)?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 6. Let w be t(8). Suppose 3*p = w*p. Solve -2*r - z + 21 = -7*r, p = -2*r - 2*z - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1812157842 to the nearest 1000000.\nAnswer: 1812000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338082211?\nAnswer: 43, 7862377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Let u be 41 + -3 - 2\/(-1). Let k(m) = 2*m**2 - 6*m + 2. Let n be k(4). Solve x - 6*x = q*s + u, 3*x = 5*s + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -982 + 11635\/12. Calculate the common denominator of (-39)\/132 - (-2 + 4) and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 - 358 + 57)*((4*f**4 + 4*f**4 - 6*f**4)*(0*f + 3*f - f) + 0*f**4 + 0*f**4 - 2*f**5).\nAnswer: -980*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -5)*1\/6. Is 0.5 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -497.88\nAnswer: 4978.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 10*o**2 - 11*o + 5. Let c be q(-11). Suppose 35 = c*x + 5*a, 3*x = -2*a + 4*a + 6. Solve x*g + 9 = -7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 3\/10 (b) -4 (c) 63027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (4 + 1)) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -22*a - 385. What is w(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 10, m: 4, s: 1}. Give prob of picking 1 m and 1 s.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(325))**2 + 3 - ((-2 + sqrt(325) + -1)*3)**2)*-5 + 5.\nAnswer: -10980 - 1350*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-12 - -1)) + (38 - (0 + 34)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.737728ns in milliseconds?\nAnswer: 0.000009737728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 4*x. Let b be d(5). Is (360\/(-25))\/(1\/b) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3)*(-3 + -51). Suppose 0 = -v + 73 - 28. What is the greatest common factor of v and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 262953134 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -181 divided by 181\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21002.9990061 + 21003. Round y to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 4*z - 5. Let b(x) = 1 + 25*x + 23*x - 47*x. Suppose -6*f - 2 = 10. Suppose 0 = 12*r - 24 + 132. Determine f*t(g) + r*b(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(136) - sqrt(136)) - sqrt(136))\/(sqrt(392) - sqrt(392)*2) + (sqrt(833) + -1 + 0 + -6*(sqrt(833) + 1))**2.\nAnswer: 3439*sqrt(17)\/7 + 20874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76, 80, 98, 136, 200, 296, 430, 608?\n\"Answer: g**3 + g**2 - 6*g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 13.84574nm?\nAnswer: 0.00000000001384574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-5))\/j*(j\/(j*(j\/(j\/j**(-5\/8)))\/j))\/j)**(1\/54) assuming j is positive.\nAnswer: j**(-35\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvavav. What is prob of picking 3 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -37. Sort p, 5, 1.\nAnswer: p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 235511*t**3 + 16996?\nAnswer: 706533*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from zrimdgz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*(c*c**(13\/7))\/c)\/c)*c**(-24)\/c*c**(5\/7)\/c**(-28) assuming c is positive.\nAnswer: c**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1645\/14)\/(1\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2144, -2148, -2152, -2156, -2160?\nAnswer: -2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1264 and 96843888?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcf when three letters picked without replacement from {c: 3, w: 2, u: 5, g: 3, f: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*a**2 + 47*a**2 - 201*a**2 + 66*a**2 + 36*a**2 - 1563)*(-3 - a + 3).\nAnswer: 15*a**3 + 1563*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:18 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 = 8*z. Let u be (3 - z)*92\/10. Suppose 2*h = -2*h + u. Solve -2*a = -5*g + h, -5*a + a + 19 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*f + 5, 172 = 3*o - 5*f. Let z = o + -13. Let r be z\/(-2)*(-7)\/(-28). Is -7 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 15*p = -11904. Let g = p + -434. List the prime factors of g.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -5*s**8\/336 - 17*s**7\/42 + s**6 + 84*s**5 - 29*s**2 - 3*s. What is h in g(h) = 0?\nAnswer: -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*q - 139*q - 64*q)*(-25*q - 16*q - 11*q) to the form d + o*q**2 + z*q and give o.\nAnswer: 8424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11751396*n - 16636563?\nAnswer: 11751396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -45.16.\nAnswer: -2.7096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -27)\/((-3)\/147*-6*(-7)\/(-42))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151693*y**3 - 2*y**2 - 56619*y + 5 wrt y.\nAnswer: 910158*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**2\/2 + 7*m + 13. What is the tens digit of k(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-223)\/446*(-5)\/(35\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*f + 4*f**3 - 4*f**3 - 2*f**5 - 26*f wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -129, -128, -127?\n\"Answer: i - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 6 + 30. Solve -4*s = x - 9, -v*x = s - 5*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, -1, -94, -2 in descending order.\nAnswer: 5, 2, 0, -1, -2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15049755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -2, 3.80278, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 628 - 2475\/4. Suppose 6*u + 60 = 114. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**4*m)\/m)**(-2\/5))**(-2))**(9\/2))**(-15) assuming m is positive.\nAnswer: m**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 2*g - 7*g - 10*g. What are the prime factors of k(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -31*i**3 + 1859*i**2 + 60*i - 55. Calculate x(60).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 4, 50, 146, 310, 560, 914?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = -3*k - 3, 8 = -4*k - 5*t. Let o be k - 4\/2 - 0. Does 15 divide -2 + (171\/o - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m**2 - 5*m - 2. Let i(k) = -11*k**2 - 6*k - 2. Give 3*i(j) - 4*l(j).\nAnswer: 7*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -13962.\nAnswer: 1\/6981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8070 is divided by 1345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1032039399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 x when four letters picked without replacement from hxhhhzhzxhhxz?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/23750090 and -61\/37321570?\nAnswer: 261250990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:15 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 24*a - 4*f = -2556667, -3*a - f + 1533996 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4.06234.\nAnswer: 3.06234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 5*j - 529. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 1) + -1 + 9 + (-220 - -216).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000234114073 to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 17*y + 359. Give o(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -452*n + 249*n - 4*n**5 - 22*n**5 + 2*n**3 wrt n?\nAnswer: -520*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. Suppose y*b = -b. Find the third derivative of 0*g**5 + b*g**2 - 5*g**5 - g**2 + 3*g**5 wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 - ((-17 - -19 - 0) + 18 - 32)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 94 = 8. What is the remainder when (-8)\/3*(2 - 197\/4) is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102? (a) -1 (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 39 + 67)*(2*d - 2*d**2 - 3*d**2 + 3*d**2).\nAnswer: -310*d**2 + 310*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 275*z**2 - 561*z - 1947. Give p(-277).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160343430?\nAnswer: 2, 3, 5, 13, 137, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 - 18*d**2 + 158*d - 9. Let o be h(4). Is 1028\/13 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46\/53, 0.2, 2, -1\/4, 1, -1, -199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53.6, -13, -4.\nAnswer: -53.6, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/30 + u**4\/4 + u**3\/6 - 8*u**2. Let p(k) = -6*k**3 + k**2 - k + 1. Let x be p(1). Is c(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 14. Which is greater: l or 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*y + 25 = 0, -15 = 3*v + 3*y - 0. Let k be 5 + (-2 + 1 - 2). Which is the biggest value? (a) v (b) -20 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 5, x: 3, f: 2}. Give prob of sequence xf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/626691 and 47\/2056832.\nAnswer: 80216448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-78)*-1)\/((-98)\/147).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - u - 7808 = 0, -u + 0*u = -w - 7814. Let a = -16281\/2 - w. Let g = a - -5217\/16. Calculate the common denominator of 15\/8 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1381418*k + 1190150.\nAnswer: -1381418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5941, -7962, -11325, -16024, -22053, -29406, -38077, -48060?\nAnswer: -59349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*l + 2*l, -5*q - 26 = 2*l. Let j = 56488\/7 - 8085. Let m = j + 15. Which is the third smallest value? (a) l (b) 27 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 3*p**3 - 4*p**3)*(-218*p**2 + 275*p**2 - 233*p**2).\nAnswer: 176*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -106. Solve a = k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Suppose 4*k - n = 10, -k + l*n + 10 = -0*k. What is the smallest common multiple of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/567 and 131\/15984.\nAnswer: 335664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*r - 10 = -170*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 0*w - 3*w)*(1807*w + 411*w - 3182 + 3182) to the form z*w**2 + f + m*w and give m.\nAnswer: -2218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*s + 9*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 144, 256, 448, 720, 1072?\n\"Answer: 40*i**2 - 8*i + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 62, -0.04, 3391, 1\/3, 0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 7711749 + 7711749.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2030\/13 + (-18)\/117. Calculate the greatest common divisor of r and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 46367*j - 1 - 4.\nAnswer: -46367*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sum 35.891 and 30.9757209.\nAnswer: 66.8667209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 2*t**3 - 7 - 5*t**2 - 5 + 6 + t**3. Suppose -12 + 2 = 2*y. Let d be v(y). Is -1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + 458593530728?\nAnswer: 458593530728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13520 and 15830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5758\/39 or -149?\nAnswer: -5758\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (105\/7)\/(-5) - -1*9. Solve 2*g = 2*v + 8, -w*g + 3*g - 4*v = 23 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -2\/3, -334.11 in descending order.\nAnswer: 4\/7, -2\/3, -334.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1028*w + 32850 - 32850 in the form m + a*w and give a.\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 715\/195 - 1\/(-3). Let g(a) = -2*a - 4. Determine g(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.19? (a) -19 (b) -4\/9 (c) 5 (d) -2\/11 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29939098 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/230399 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*34131.\nAnswer: -92153.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -55553.6824 to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718071 is divided by 149?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5600042 = 2*s - 3*b, 6*s - 3*s - 8400053 = 2*b. Suppose -689374 = x + 2*i - 129364, 5*x + s = -3*i. Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40061196 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s - 2*c - 1447, 5*s - 3*c - 2411 = 0. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 484 - 445. Calculate the greatest common divisor of 3588 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47919492 and 887398?\nAnswer: 47919492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -84, -82, -80, -78?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + ((-46)\/(-16) - 3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5 - 51*t**4 + 198*t**3 = 0. Calculate t.\nAnswer: 0, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3096*-2.\nAnswer: 6192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11 = -2*w, 4*w + 0*k + 4*k = 20. Let l(y) = -y**2 + 3*y + 14. Let a be l(w). Let s be 9\/((-18)\/a) - 2. Solve s*c - 8 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3082.222114 - 3219.2220527. Let r = a - -137. Round r to six decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221003131122 - -3?\nAnswer: 221003131131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 32, 47?\n\"Answer: 15*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3\/7, 26785, 5, 3\/8.\nAnswer: -1\/2, 3\/8, 3\/7, 5, 26785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351 + 353. Solve v - 25 = -5*q, i*q = 2*v + 3*q - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -325*u**2 + u. Let s(o) = -o + 204. Calculate s(m(c)).\nAnswer: 325*c**2 - c + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 120864?\nAnswer: -11\/15108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 20 = -4*h + 3*r, -15 = 3*h + 2*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a13058 (base 11) in base 5?\nAnswer: -1332311033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12913123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -2 + (-9)\/3. Let k be (-5)\/10 - (-5)\/x. Let a(y) = 2*y. Give a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 15*f**2 + f + 4. Let p be g(15). Find the third derivative of 8*w**4 + p*w**2 + 2*w**3 - w**3 + 3*w**4 wrt w.\nAnswer: 264*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-3)\/(-3)) - (-2)\/1. Put 5, 1, b, -4 in increasing order.\nAnswer: -4, b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 + 888684*p**2 - p + 229262 wrt p?\nAnswer: 6*p + 1777368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5658 divided by -1\nAnswer: -5658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Let x(l) = l + 14. Let o be x(-7). Put 0, d, o in increasing order.\nAnswer: 0, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 8, w: 4, i: 3}. Give prob of picking 2 i and 1 q.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515*q = 32489 + 47726 + 44015 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(18\/(-10)*(-20)\/12). Let j = 50 + -46. Suppose j*d - v - 11 + 70 = 0, -21 = d + v. Is d at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 + 477*v**2 + 21402*v + 208032 = 0 for v.\nAnswer: -22, -16, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + m - 1. Let a(h) = 8*h**2 + 6*h - 7. Let f = -1 - -7. Let b(g) = -g. Let u be b(f). Determine u*q(t) + a(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45.09717ng?\nAnswer: 0.00000004509717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 84336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.802007 to two dps.\nAnswer: 131.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, 0.5717, 2\/5 in ascending order.\nAnswer: 2\/5, 0.5717, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34209?\nAnswer: 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhffdhdphfprrhfffwh. Give prob of sequence dpwr.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13040 + -3533?\nAnswer: -16573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4930 and 20995.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let o = s - 0. Put o, 2, 2\/3 in descending order.\nAnswer: o, 2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 22*r - 32. Let d(n) = 9*n - 13. Let b(g) = -g**2 + 4*g + 17. Let s be b(6). Give s*j(z) - 12*d(z).\nAnswer: 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*j - 3*j - 4*j + 2*j + (1 - 43 + 4)*(-3*j + 2*j - j).\nAnswer: 69*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4393380464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12854324 and 59619?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*z**2 + 296*z**2 + 241699*z**3 - 241697*z**3.\nAnswer: 2*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 14. Let c be p(6). Let z = 96 - c. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.88. Let c = j - 6.12. Let l = c + 7. Are 4 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrzrrr. Give prob of sequence rrr.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = 5*b, 5*b + 1 = -2*m + 4*m. Let o be (-2 + 2 + 0)\/m. Which is greater: -1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*l + 6. Let j(h) be the first derivative of -11*h**3 + 5*h + 5*h - 9*h + l*h - 37. What is the first derivative of j(u) wrt u?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 23*g**3 - 1 + 51*g**3.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 26\/1167435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31824, 63486, 95182, 126918, 158700?\n\"Answer: l**3 + 11*l**2 + 31622*l + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:04 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t. Let s be p(11). Let c be (4 + -5 - -23)*32\/(-40)*-5. Calculate the greatest common factor of c and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (0 - (285\/42 - 5)). Is -2\/9 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*x**5 + 10306*x**4 + 32*x**3 - 2*x**2 - 403877384*x.\nAnswer: 1020*x**2 + 247344*x + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p**2. Let y(s) be the first derivative of -4 + 0*s + 5*s**2 + 0*s - 6*s**2. Give c(y(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15))\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(66)*-1*6)\/(sqrt(150) + (sqrt(150) + sqrt(150)*-3 - sqrt(150))*-6 + sqrt(150)))**2.\nAnswer: 891\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.28642 decades to months.\nAnswer: 874.3704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 w, and 2 f when four letters picked without replacement from {w: 1, f: 2, t: 2, x: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*q - 20 = 4*l - 94*q, 12 = -2*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s - 1. Let w be f(1). Let a(y) = 5*y**3 + 12*y**2 + 3*y - 17. Let m be a(w). Let l = m + 525. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-3))\/((-28)\/24). Let p = -4 - -2. Which is the nearest to 0? (a) p (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2. Let x(c) = 2*c - 14. Let o be x(-7). Let v(h) = h**2 + 29*h + 32. Let i be v(o). Let z(n) = 2*n + n + 4*n + i*n. Determine g(z(q)).\nAnswer: -363*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 704692 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -683*u - 2750*u + 830*u + 23*u**5 - 4*u**2 - 311*u wrt u?\nAnswer: 460*u**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 0*p - 14 - 8\/3*p**6 + 0*p**5 + 19\/2*p**2 + 0*p**4 + 0*p**3. Find the second derivative of n(o) wrt o.\nAnswer: -320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from qyqqyyyqqyyyqqyqyyqy.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z**2 + 1)*(-93 + 12 - 78 + (2 + 2 - 6)*(0 + 3 - 5)).\nAnswer: 155*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, 0 in increasing order.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 600\/84)\/(9\/84)*-235. Which is smaller: o or -1876?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.85, 0.3, -0.4 in ascending order.\nAnswer: -0.4, 0.3, 6.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Suppose t*l = l + 5. Suppose 0*r = r - l. Solve 0 = n - x + 4, 22 = -n + r*x + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.111?\nAnswer: -0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -432122 (base 6) to base 3\nAnswer: -1210122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/18 - (-37)\/6. Let t be (-2)\/(-5) - m\/(-10). Suppose 3*r - t = 11. Solve 7*c + 5*h = r*c + 32, -3*c + 3*h = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 19 = 5*v, -5*w = -v - 29. Suppose 4*x + w = 22. Let t = 3 + 0. Solve -t*k + x = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 124.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 3*j**2 - 2*j**2)*(-249*j + 249*j + 22*j**2) + j**4 + 0*j**4 + j**4.\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((5\/10)\/((-3)\/(-24)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37509304, 75018609, 112527914, 150037219, 187546524?\nAnswer: 225055829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.37003 to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*v = 23. Let r = v + -30. Let k = 19 + r. 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: What are the prime factors of 1\/(((-15)\/129)\/(-5))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1465, -1832, -2357, -3040, -3881, -4880?\n\"Answer: -79*c**2 - 130*c - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {w: 5, t: 4, m: 6, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 89, 134, 181, 230, 281, 334?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -0.023\nAnswer: 0.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from blblzvzbvoxlzbl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 0*d**4 - d**4 + 4*d**3 + 447*d - 441*d as t*d**2 + o + u*d**3 + r*d + w*d**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o - 15*o + 27*o - 4098 + 224 to the form k + w*o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 9:45 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b\/(b**(-26\/9)*b)*b*b)\/b*b))**(2\/5)\/((b\/(b*b**(2\/15)))\/b**(-3\/32)) assuming b is positive.\nAnswer: b**(-2759\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 934749239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*x + 18*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7)*-7*(-3)\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/291129 and -97\/954.\nAnswer: 1746774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 1680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 8*i**2 + 23*i**3 + 97*i**3 - 4*i**3 - 77*i**3.\nAnswer: 39*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-3\/5)))\/(g**0\/g))**(-9\/7) assuming g is positive.\nAnswer: g**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1410808 and 224.\nAnswer: 5643232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 89*l - 3. Give m(-1).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -9. Let y be (-1)\/(-3) - (-1023)\/w. What is the common denominator of 4\/(-7)*y\/(-16) and 149\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, a: 3}. What is prob of sequence pa?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/((-77)\/6))\/(3\/987). Suppose -a + 290 = 2*x. Solve y = -2*s + 3, -s + 6*y - x*y + 14 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 687.778 + 17.692.\nAnswer: 705.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 6*g - 15. What is m(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6590?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/8)\/(3\/113))\/(17*52\/2652).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1678*r**3 - 2 + 61*r + 1656*r**3 - 60*r + 6 - 4*r**2 as f*r + h*r**2 + w + a*r**3 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tffzzhftqfti. Give prob of picking 1 h, 1 i, and 1 q.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from ininnin.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:25 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 396\/108 + -2*2. Which is the closest to -3? (a) v (b) -0.5 (c) 4 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25962, -26079, -26196?\nAnswer: -26313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 5*t + 3. Let n(m) = -2*m**2 - 9*m + 5. What is 3*n(y) - 5*z(y)?\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-2)*426\/(-339735))\/(6\/10)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7057185 to the nearest integer?\nAnswer: 2657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 2, r: 4}. Give prob of sequence jrqr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) 3\/4 (b) 3 (c) 13.7 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*((sqrt(117) - (sqrt(117) - (-3 + sqrt(117) + -1 + sqrt(117)))) + -5))**2.\nAnswer: -3000*sqrt(13) + 14200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 25*a - 22*a - 7, 5*a = 2*r - 23. Let u be (1\/(-3))\/(2\/(-6)). Solve -3*q - u = -r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 2324.\nAnswer: 2323.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 42*y - 145. Calculate k(-20).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.966 to 1 dp.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w**3 + 1\/630*w**7 - 25\/72*w**4 + 30*w**2 + 1\/12*w**5 + 0 + 0*w + 1\/40*w**6. Suppose b(r) = 0. Calculate r.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3063 is divided by 57?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -787986, -787870, -787732, -787560, -787342, -787066?\nAnswer: -786720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -419862 by -6.\nAnswer: 69977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.211, 4\/5, -1\/8, -0.2 in decreasing order.\nAnswer: 4\/5, 0.211, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.41804 - -69.41394. Let w = -78 - -14. Let z = x + w. Round z to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggmjgguggfgrjrrrmfr. What is prob of sequence rfug?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159761.\nAnswer: 3, 386587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d**2 - 171*d**2 + 272*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 84 = 5*m, 3*j - 22 = -4*m + 9*m + 20 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21674650, 21674649, 21674648, 21674647, 21674646, 21674645?\nAnswer: 21674644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 43. Calculate k(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 91544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 - 10 = 0. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22264 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (87\/6)\/(5\/10). Let k(l) = t*l**2 + 32*l**2 - 63*l**2. Let w(p) = -240*p**2. What is k(w(j))?\nAnswer: -115200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25 - -6935826\nAnswer: 6935851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -27238039530 to the nearest one hundred thousand.\nAnswer: -27238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2. Let t(n) = -3*n**2 + 301*n + 1. What is t(r(s))?\nAnswer: -12*s**4 - 602*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 32*p**3 - 2*p**2 - 3*p + 6. List the prime factors of h(2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -144, 35, 9, -4, -5 in decreasing order.\nAnswer: 35, 9, 2, -4, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 23 = -i - 4, -i = 2*x - 9. Sort 1\/9, 0.5, x in ascending order.\nAnswer: 1\/9, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 - (0 - 12 - (1 - (7 - 4))) - 11\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -14*k + 384. 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 k(z) be the third derivative of z**8\/112 + z**7\/7 + 5*z**6\/8 - 68*z**2. Solve k(s) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 19 = 1. Suppose -j = -0*j - 5. Suppose 4*i = 4*g - 160, 0 = j*g + 3*i + 2*i - 160. Calculate the highest common divisor of z and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*m = 9 + 3, -t = 5*m - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*a - 18 = 0, 3*a - 3*a = 10*i + 5*a - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/15 + (-299360)\/(-300). Suppose 5*l = -2*m + 490, 0 = -3*m + 7*m + l - b. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4*w + 563*u**4 + u**3*w - 2*u**3 + 2*u**2*w + 305997*u*w - 2 wrt u?\nAnswer: -48*u*w + 13512*u + 6*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v + 53\/2*v**2 - 1\/2*v**4 + 26*v**3.\nAnswer: -v**2*(v - 53)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, -4, 5, -6, -158 in decreasing order.\nAnswer: 5, -3, -4, -6, -27, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*p + 15. What is the highest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531035 (base 11) in base 9?\nAnswer: -1535652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 2 - 35*y - 2*y**2 + 33*y in the form s*y**2 + h*y + x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 132 - 132 + q. Let o(h) = 42*h**2. Give o(w(y)).\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-10)*1*(-18)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 79. Let f = 65 - w. Sort f, -1, -5, 3 in descending order.\nAnswer: 3, -1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -245*x**4 + 1575*x**3 - 510*x**2 - 700*x - 120 = 0?\nAnswer: -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.589\nAnswer: 0.1178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/2, 0.17, -3\/8, -31?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 579*g + 1187. What is q(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 156. Solve -10 = v*p - 8*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3, 9.\nAnswer: -2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.018 + -124.018. Let s = -125 - b. Put -0.2, -0.5, 3, s in descending order.\nAnswer: 3, -0.2, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*j + 5*j = 68, -5*f + 62 = -2*j. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -0.02 (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 4. Let h(f) be the third derivative of f**4\/24 - 27*f**2. Give 5*h(o) + p(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 387388613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(1 - 2*d - 1) + (43*d - 12*d - 19*d)*(6 - 4 + 0).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*t + 397*t = 206*t - 1279191. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 343*w**5 + 153*w**2 - 2.\nAnswer: 20580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m**3 - 37*m**3 + 62*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 6*p, p - 1319 = -4*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1652*z - 7382*z - 19085*z - 6760*z in the form s + c*z and give c.\nAnswer: -34879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 9*d + 10. Let k be x(8). Suppose k*t = -t. Suppose t = 2*i + 1 - 7. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millisecond in microseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6065 + -3087. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163328 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:22 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - 84\/(-8). Let w be (-6)\/((33\/90)\/y). Calculate the common denominator of 1206\/w + 1*2 and 65\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/((-120)\/910)*-6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t - 1. Let o(l) = l**2 + 14*l + 38. Let u be o(-11). Let a(x) = 4*x**2 - 5*x - 8. Calculate u*v(g) - a(g).\nAnswer: g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 + 14*d**2 + 4*d**4 + 17*d**2 + 1 + 85*d**3 + 31*d**2 - 61*d**2 as b*d**3 + j*d + m + o*d**4 + k*d**2 and give b.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(5)*-4)\/(sqrt(7) + sqrt(7) + sqrt(63)\/(2*sqrt(9))) + -4 + (-2 + sqrt(2))*6 + 3.\nAnswer: -13 + 22*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60893906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59993, 60141, 60289?\n\"Answer: 148*n + 59845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.78*-105548\nAnswer: -82327.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 1. Determine k(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 4*m + 4*m + 3*m - 4*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -338*g**4\/5 - 194116*g**3\/5 - 27900426*g**2\/5 - 8570968*g\/5 - 658952\/5 = 0.\nAnswer: -287, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - 72\/(-27). What is the tens digit of l - 1\/(1\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3256393 + 66.6745487. Let s = 68 - h. What is s rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13))**(1\/41)*s**(4\/3)\/s**3 assuming s is positive.\nAnswer: s**(-2671\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9.86 * 0.941\nAnswer: 9.27826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96 + -1?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*h**3 + 129*h**3 - 200*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((306\/27 - 12)*3)\/(1 - 3). Put -2\/3, y, -0.2, -3 in descending order.\nAnswer: y, -0.2, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.6 - 1.4. Let m = 8 + r. Let t be 2\/12 + -1 + 1. Which is the closest to m? (a) -3 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125.73 - -122.73. What is the closest to 2 in 17, -15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5175 - 2872. Suppose 0 = -9*x + 2*x + c. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804498005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 58*a**2 - 197*a + 86. Determine w(32).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(-5 + (sqrt(75) + -1)*4 + -5 + (-2*sqrt(75)*6 - (4*(sqrt(75) + 2)**2 - sqrt(75)))).\nAnswer: 3450*sqrt(3) + 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337390 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 13*f**3\/6 - f - 14. Let c(p) = -13*p. Let s(g) = 45*g. Let l(k) = 21*c(k) + 6*s(k). Determine l(w(j)).\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.7 - -5. Suppose -8*c + 151 = 103. What is the nearest to c in g, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94480121.\nAnswer: 94480121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*m - 313 + 253 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvldsvdxvvvvvsdvd. Give prob of picking 1 d and 1 v.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 3. Factor n**2 - r + 4 + 6.\nAnswer: n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*f + t, 17*f - 19*f - 6 = -2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5139 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 0 + 0 + 1. Let o(j) = -j**2 + 5*j + 7. Let h be o(6). Suppose -2*r = 5*w - 6, r - 2 - h = -3*w. Solve -c + a*c - 2 = w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*y - y + 5*y - 3 + 3 + y + 0*y - 4*y + y + (-1 + 2 - 2)*(3*y + 3*y - 4*y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1540146578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 486.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 90. Suppose 18*t + 30*t = 1584. Let h = q + t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/10)*n**(1\/6))\/((n*n**1)\/(n**(4\/7)\/n)))**36 assuming n is positive.\nAnswer: n**(-2472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*f + 1203 - 308 = -2305 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5537 = 8*f + 5409. Calculate the smallest common multiple of 5688 and f.\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4425 + -4412. What is the greatest common divisor of t and 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 385*j. Let m(k) = -k**2 - k - 7289. Calculate h(m(v)).\nAnswer: -385*v**2 - 385*v - 2806265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 32. Let h be p(4). Suppose -92*t + 97*t - h = 0. Solve 0 = -2*g + 3*g + 2*f - 1, -t*f = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z - 5*g + 4, -4*z + 19 = -3*g. Let r = 69066 + -69059. Solve r*m + m = z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.912068 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 31. Is 16 a factor of 2 + 3\/(-3) + g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q*q\/(q*q**13)*q)**(1\/51)*(q**(-3\/17))**21 assuming q is positive.\nAnswer: q**(-197\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200102 + -1010000120?\nAnswer: -1012200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*v + 20, -227*v - 16 = -5*f - 223*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2128764 and -82\/725715?\nAnswer: 31931460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3241318.12 to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 242*j - 234*j - 56 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:26 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)*y**(3\/4))**(4\/29)\/(((y\/(y**(-5)*y))\/y)\/(y**(-2\/7)*y))**(-21) assuming y is positive.\nAnswer: y**(6004\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2852*f = -2982*f + 3120 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 90. Suppose 4*p - 3121 = -3*t + 754, 0 = r*t - 2*p - 2560. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26282 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 105*c - 53*c - 50*c to the form j + q*c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -3333bb?\nAnswer: -3333c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/10*(-55)\/22*(-47731404)\/(-336) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-7 + (13 - 1) - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13\/3)*m**(15\/8)*m**(-9\/4)*m*m*m*m**(1\/7)*m)**19 assuming m is positive.\nAnswer: m**(-1805\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(4 - (6 - 2)). Suppose h - 4*b - 51151 = n, 4*b - 129863 = -4*h + 74681. Suppose -4*y - h = 484861. Round y to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 29. Calculate the highest common divisor of 153 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -440352641 - -5\nAnswer: -440352636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - f + f + 4 - 3*f to the form t + l*f and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -29. Suppose -26 = -4*t + y*i - 7*i, 0 = 5*t + 2*i - 32. What is the least common multiple of t and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -8 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9936, 20700, 32288, 44700, 57936?\nAnswer: 71996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 4. Let m be q(-7). Let c = -3 - m. Suppose -t = 12 - c. Solve -t*p - 5 + 13 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let r(l) = -13420*l**2 + 4*l. Calculate d(r(t)).\nAnswer: 13420*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*(-81)\/63)\/(2\/(-84)). Calculate the greatest common divisor of p and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23488*y - 1286*y + 33445*y - 8857*y.\nAnswer: 46790*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -10355 (base 7) in base 16?\nAnswer: -a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-4*i + 6*i - 3*i) - 7*i + 0*i - 17*i - 17*i.\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.96 + -0.04. Let m = g - -8.1. Which is the second biggest value? (a) m (b) 0 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -1124?\nAnswer: -67.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/1955 + -42457\/391. Let i = n - -3713\/30. Let a = -117148\/17 - -6888. Calculate the common denominator of a and i.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (998*h + 3*h**2 - 488*h - 487*h + 2)*(5 - 3 + 0) to i + f*h**2 + r*h and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnnw when four letters picked without replacement from {w: 3, n: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 9. Let h(w) = -2*w + 5. Let f(r) = -5*h(r) + 3*n(r). Let x = -33 + 49. Suppose x*d - 12*d = 24. Calculate f(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujgguki. Give prob of sequence gjg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48398 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120 + 2?\nAnswer: 11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7673264 and 57.\nAnswer: 23019792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 20. Suppose q = a - 10. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 19210*j**3 + 12093*j**3 + 2.\nAnswer: 31303*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 117*z**3 - 3*z**2 + z + 4. Does 30 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1594*m**2 - 7 + 1102*m**2 - 10 - 8 + 37 - 10.\nAnswer: -492*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28618 and 336436?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 169145921 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 l = 16 - -54. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12797.26 and 71.502.\nAnswer: -12725.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 8*v**2 + 4*v + 3. Determine k(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130792*u**4 + 101694 wrt u?\nAnswer: -523168*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223673 not equal to 1789373\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2423 + -5?\nAnswer: -2428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 101 - 12*m + 3*m - 33*m - 20*m - 5*m.\nAnswer: -67*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(9\/(-3))\/((-162)\/9))\/11?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ictctcicci. Give prob of sequence cc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 149, 181, 87, -139, -503, -1011, -1669?\n\"Answer: -t**3 - 57*t**2 + 210*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23310 by -6.\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*l - l + 4, 0 = 3*s - 12. Let q be (-1)\/(-1) - 1*-54. Let y = q + l. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309380 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5 = 5*f, -5*f + 2*u = -u. Solve -3*l = -f*i - 2*l - 14, 4 = i + 4*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50\/1481 - 252389\/62202. Calculate the common denominator of 95\/2 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-52))\/(6\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 41909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**20)\/((r\/((r*r**(1\/4)\/r)\/r))\/r) assuming r is positive.\nAnswer: r**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (20025\/18225)\/(70\/(-3)) and 59\/630.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -34. Let w = 47 + i. Let z = 59 + -34. Solve w*k = 7*k + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 80*z. Let k(b) = -8*b + 5. What is k(c(p))?\nAnswer: -640*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -787*t - 93. Let b(c) = 50*c. Give b(g(q)).\nAnswer: -39350*q - 4650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-435)\/(-18))\/(19\/((-5301)\/(-1085))) and -101\/66756.\nAnswer: 467292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 34 - (-6 - ((0 - 4) + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32668148, 65336313, 98004478, 130672643, 163340808, 196008973?\n\"Answer: 32668165*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*g = 11556, g - 856 = -5*q - 12404. Round q to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54845117?\nAnswer: 283, 193799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*n - 6, 2*p = -3*n + 3*p + 4. Let m(d) = -6*d**2 - 2*d + 2. Let q be m(-2). Let i be (4\/6)\/((-4)\/q). Sort i, -4, n in descending order.\nAnswer: i, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 216. Let y = -356 - -391. What is the highest common factor of y and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.047 + -1.953. Sort -1, a, 10\/7 in decreasing order.\nAnswer: 10\/7, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25605, -25607, -25609, -25611?\n\"Answer: -2*s - 25603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/8 (c) -2374 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 15. Suppose y*r - 13 = 4*n - 2*r, 4*n = -5*r - 3. Sort -1, n, 4.\nAnswer: n, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2504\/3 - 845. Let h = 5\/959 - -50777\/9590. Find the common denominator of h and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(10\/(-4)) + 4. What is the third smallest value in -4, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*v**2 - 863093 + 863093 - 2*v**3 + 595*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jwjwjwwjwwjjjwnnww.\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/4 + 7*o**3\/4 + 9*o**2\/2 + 5*o + 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -25*m**2 - m + 1. Calculate y(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -578522 and -578531 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r - 5*y, 5*y + 0*y - 8 = -3*r. Let s(b) be the third derivative of -1\/24*b**6 + 0 + 0*b - 7*b**2 - 1\/24*b**4 + 0*b**3 + 1\/30*b**5. Give s(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 53*-2*2\/(-4). Let t = i + -32. Solve 5*x = -25, -4*x - t - 4 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 11. Let v(m) = -183*m - 232. What is the remainder when v(-2) is divided by j(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7067.511 nanoseconds in seconds?\nAnswer: 0.000007067511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 45. Let a = 18 + d. Solve 0 = 3*t + 4*w + 31, -a*t + 3*t - 5*w = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2209\/4*b - 141*b**2 + 0 - 9*b**3.\nAnswer: -b*(6*b + 47)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135 take away 0.01?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 7*s**2 + s - 10. Let o(u) = -11*u. Let w be o(-1). Suppose 5*m - 3*p - 39 = w, -4*p = -5*m + 55. Let a be c(m). Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -41. Let f = d + 1. Calculate the least common multiple of 2 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 30875*v - 3303575. Give b(107).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38340 divided by 12780\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w + 3*x - 15 = 54*w, -5 = -x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 828.4558 weeks?\nAnswer: 139180.5744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1988628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -331815?\nAnswer: 331819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*q + 528, -555*a + 560*a - 4*q = 621. What is the greatest common divisor of a and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41297.58 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3652 divided by -2.\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 + 2*z + 16. Let s be w(2). Solve 0 = 2*i + 2*h - 37 + 39, s*h = 3*i + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-30) - ((-57)\/399)\/((-10)\/(-14)).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341 (base 7) to base 8.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -16160, 3, 5\/4, -2, -1\/3, 3\/4, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eef when three letters picked without replacement from fqddeeeefeegdg.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -7*96\/(-84)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3329, -3330, -3345, -3380, -3441, -3534?\n\"Answer: -r**3 - r**2 + 9*r - 3336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w**2. Let j(x) be the first derivative of x**2\/2 - 26. Determine j(i(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -7*q**6\/60 - q**4\/24 + 4*q**2. What is the second derivative of g(i) wrt i?\nAnswer: -84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632473556 a multiple of 2588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -738095 divided by 3433?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**5\/20 + q**4\/12 + 7*q**2\/2 - 6*q. Is p(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {t: 7, o: 7, c: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 155700\/629 at least 247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319868 divided by 2727?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*n**4 + 1011049*n**3 - 76307616*n.\nAnswer: -492*n**2 + 6066294*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/36063 and 55\/5673912.\nAnswer: 17021736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 - 40*p**2 - 58)*(-3 + 1 - 9*p + 14*p) as h*p**3 + s*p + z + k*p**2 and give h.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2493 = -13*f. Suppose z - 70 = -f. Let o be 46\/z + (-94)\/(-18) + -1. Is o at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 923666 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7393 + 7554. Calculate the highest common factor of 4117 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r**(-1\/3))\/(r**(-2)*r**2)*(r*r\/((((r*r\/(r**(-2\/7)*r)*r)\/r)\/r)\/r))\/(r*r**(-1)\/r)*(r**(1\/2)\/r)**5 assuming r is positive.\nAnswer: r**(37\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:59 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -640*d + 149*d - 22856 - 5622 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -609, -574, -515, -426, -301, -134?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3\/5, 0, -5, 13875, -3, -0.5, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36350 (base 7) to base 5\nAnswer: 300233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 > 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 29) + (2 - -37 - 24).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:09 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*-4*(-4)\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:07 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117252851?\nAnswer: 3, 11, 13, 37, 59, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 3*r**2 - r + 5. Determine u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 4*y**2 - 5*y - 2. Let s be k(-3). Suppose 4 = s*t, 4*u + 4*t = 35 + 93. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 - 11 = 0. Let q be (6\/5)\/((-21)\/(-70)). Sort q, w, -1.\nAnswer: w, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117))**2*-4 + -5*(5 + sqrt(325) + sqrt(13)) + -4.\nAnswer: -497 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -1. Does 19 divide 2\/u - 267\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185647, -371257, -556871, -742489?\n\"Answer: -2*l**2 - 185604*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z**2 + 21*z. Let o be (-161)\/35 + (-6)\/(-10). Is 65 a factor of p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from bmcbjjcjmmbbcnjc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/12)\/((-1)\/26). Let g be ((-258)\/(-2) - -2) + -1. What is the greatest common divisor of s and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.8 + -14.8. Let s = -0.77 - 0.03. Let z = s - -0.5. Which is the smallest value? (a) z (b) x (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7)*b*b**6\/b)**(-8))**30 assuming b is positive.\nAnswer: b**(-9600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 + 2 + 0 + 28*s - 26*s as p*s + z*s**3 + n*s**2 + u and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-7\/3)))\/(k\/(k**(-5\/2)\/k*k*k))*k\/k**(1\/8)*k**(-4\/7) assuming k is positive.\nAnswer: k**(-761\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529 is divided by 304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151755.32 rounded to the nearest 100?\nAnswer: 1151800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4053*i**2 + 30*i + 19*i - 2 - 49*i.\nAnswer: -4053*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3635*c. Let x(v) = 37*v**2 + 2. Calculate x(g(q)).\nAnswer: 488889325*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**5\/60 + 1725*g**2. Let a(j) = -j + 2197. What is a(i(w))?\nAnswer: w**2 + 2197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 10. Suppose 2*g + 180 = 5*v + 5*g, x = -v - 4*g + 53. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 156, 1, 0.2, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3619287444678 + -8.\nAnswer: 3619287444670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + z + z = 197, z = -4. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 52. Determine a(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.464*-25.\nAnswer: -1311.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -84*k**2 - 110*k - 2. Let q(i) = -40*i**2 - 54*i - 1. Give 6*h(r) - 13*q(r).\nAnswer: 16*r**2 + 42*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/9 - 206*z**4\/9 + 19130*z**3\/9 - 302746*z**2\/9 - 348392*z\/3 - 80344 = 0. Calculate z.\nAnswer: -166, -2, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26738.\nAnswer: 2, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6129 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 3. Let k(l) = 7*l - 4. Let c(n) = -2*k(n) + 3*w(n). What is the first derivative of c(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tvvtwwvuttu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 24192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - p + 3)*((0 - 3*p + 0)*(-4 + 6 + 1) + 13 - 9*p - 13) to j*p + t + z*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**5 - n**4\/4 + 13*n - 28. What is the derivative of v(z) wrt z?\nAnswer: -20*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 - 132*o - 1672. Let m(n) = -n**2 - 19*n - 239. Let z(d) = 20*m(d) - 3*x(d). What is the first derivative of z(w) wrt w?\nAnswer: 8*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -418317, -417527, -416737, -415947, -415157?\n\"Answer: 790*x - 419107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v - 16. Let a be k(-12). Let s be (-17)\/2*(-5 - -3). Calculate the greatest common divisor of a and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/20 - i**4\/4 + i**3\/6 + 4*i**2 + 7*i. Let d be k(-2). Let h be (d + -3)*(1 - (1 - 0)). Solve -4*w - 10 - 2 = h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 78. Suppose x = -x + 10. Which is the second smallest value? (a) -0.2 (b) p (c) x (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*10\/(-40))\/(2\/2)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 19) + (-1 - 7 - -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u + 8. Let z = 1 + -1. Are u and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**7\/630 + k**6\/180 - 3*k**4\/4 + k**3\/6 + 37*k**2 - 1. Let u(i) be the second derivative of l(i). Solve u(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51748 (base 10) to base 11.\nAnswer: -35974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 2. Let z(g) = 20*g - 135. Let h(j) = 5*m(j) - z(j). Does 13 divide h(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*j**4 + 17*j**4 - 3*j**4 + (-2*j**2 + 5*j - 5*j)*(-14 - 2*j**2 - 62*j + 62*j) to y*j**3 + k + z*j**4 + p*j**2 + a*j and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and 2\/519 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-3)\/(1 - -2)). Suppose 7 - 1 = c*h. Let q = h - -4. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(3)*-1 - (-4 + sqrt(12)) - (-1 + (sqrt(36)*-1)\/sqrt(12)).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3745\/6 - (-1 + 5)\/24.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -186.\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 67779.\nAnswer: 610011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -262*o**2 + 9*o - 7. Let d(y) = -264*y**2 + 8*y - 6. Let l(m) = -5*d(m) + 4*f(m). Let k be l(1). What is the highest common divisor of 54 and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -31.2. What is g rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(sqrt(432)*1 + sqrt(432)) + sqrt(432) + sqrt(432) + 0 + -1*(sqrt(12) + -2 - sqrt(12)))**2.\nAnswer: 480*sqrt(3) + 6937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3893189371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*t + 5*v - 5, 1 = -2*t - 5*v. Suppose -y - 15 = t*y. Suppose 1879 - 1899 = -10*r. Sort y, 0, r in decreasing order.\nAnswer: r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.201 and -9.\nAnswer: -1.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u + 13*u**2 + 51*u - 17*u + 28*u.\nAnswer: 13*u**2 + 88*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 0 - (-33 - -32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.0433, 0.04, -16 in ascending order.\nAnswer: -16, -14, 0.04, 0.0433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (379*w**2 - 186*w**2 + 10 - 191*w**2)*(-3*w**2 + 2*w**2 - w**2) to the form r*w**2 + g*w**3 + x + q*w + a*w**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 31*n**2 - 16*n + 389. What is the remainder when f(-30) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -18 - -8)*(1 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1874 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -716 or -689?\nAnswer: -689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 1\/24*w**4 + 0 + 0*w**5 + 19\/210*w**7 + 0*w**3 + 0*w + 4*w**2 + 0*w**6. What is the second derivative of r(d) wrt d?\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016505 rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 134*h**2 + 135*h + 371. Let y be d(-66). Suppose 2*x = -212 + 558. Is x greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1268 divide 2261791196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.1, 1\/5, 9, 1\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298643225?\nAnswer: 3, 5, 11, 41, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 7 + 3)*(39*a - 74*a + 13*a)*(-4*a + 5*a - 3*a) + (-3*a + 2*a + 3*a)*(2*a + 3*a - 4*a) to t*a**2 + s*a + q and give t.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 2*i - 3*i)*(6 - 2 - 3)*(-20 + 15 - 13)*(-6*i**2 - 10*i**2 - 10*i**2) to o*i**3 + h + g*i**2 + w*i and give o.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270121 - -162421. What is d rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, -0.012, 74?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8622 (b) -4\/7 (c) -5 (d) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1491.7 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3825912, 3826100, 3826414, 3826854?\n\"Answer: 63*k**2 - k + 3825850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020 = -5*r + 214*h, -4*r + 1593 - 1533 = 4*h for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 36. Give q(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 + (-21)\/(-12). Let l(m) = 33 - 33 + 8*m**a - m**2. Let n(d) = -d. Calculate l(n(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10104533 (base 6) to base 5.\nAnswer: 33220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 1959, 3369, 4779?\nAnswer: 6189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2606769 divided by -289641\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 5*a**2 + a. Let h be g(5). Suppose 3*c + 2*d + 9 = 25, -h*c = 2*d - 28. Calculate the lowest common multiple of 1 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842598*w - 15*d = 842599*w + 672, -3*d - 150 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*z**2 - 52 - 28*z**3 + 18*z**2 + 18*z**2 wrt z.\nAnswer: -84*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202649*w*y - 4*w + 7679 with respect to y.\nAnswer: 202649*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 7. Let c(t) = 21*t**2. Let v(b) = 8*b**2. Let z be ((-3)\/(-2))\/((-5)\/(140\/(-6))). Let x(n) = z*c(n) - 18*v(n). What is x(l(o))?\nAnswer: 48*o**2 + 168*o + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*n - 5*n + n)*(2*n**2 + 4*n - 4*n) - 2 + 2*n**3 + 2)*(-3 - 4 + 1) as l*n**2 + k*n**3 + d*n + w and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2204302 (base 5) to base 16\nAnswer: 94bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 696 - 674. Suppose 477 = d*p + 81. Solve -2*x + 4*a + 4 = p, 0 = 4*x - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 4*n. Let b be z(-5). Suppose -b*d + 0*d = -30. Calculate the lowest common multiple of d and (4 + 1)*(-2 + 0)*-1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 47*c + 3*c.\nAnswer: 55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -0.1 (c) 2\/9 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*b - 1066 = 988, -g - b + 2048 = 0. List the prime factors of g.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 18, -12, -84, -210?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 24957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxcx when four letters picked without replacement from {f: 1, o: 2, i: 6, x: 3, c: 2}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1211 and 7785?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8220 and 25\/9089?\nAnswer: 74711580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1070706*j**3 + 4*j**2 + 14734150*j?\nAnswer: -6424236*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568 = 230*a - 286*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8061823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 7, p: 1, c: 3}. What is prob of sequence jcpc?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 2*f**2 + 1. Let v = -3 + 2. Let u be p(v). Suppose u = 3*n - 6*n + 75. Solve -i = 4*i - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100022 (base 3) to base 15\nAnswer: -2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 + 0.45. Let i = -71\/6 - -31\/3. Put i, 5, p in ascending order.\nAnswer: i, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 9 = 39 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810 by -6.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o - 11. Let u(c) = -3*c - 2. Let z(l) = 2*n(l) - 11*u(l). Let f be z(3). Suppose a = 6*a + v - 190, 2*v = -f*a + 121. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 683 + 155 = 0. Let t = 6251 - 6177. Calculate the remainder when w is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -113*d. Let g(s) = 13*s. Give p(g(a)).\nAnswer: -1469*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-82.80772.\nAnswer: 82.80772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 8}. What is prob of picking 2 c?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p**2 - 13*p**4 - 83 + 12*p**2 + 78 + p + 3*p**2 to the form d*p + y*p**4 + v*p**3 + w*p**2 + g and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - 14*y**2 - 22*y - 18. Determine d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, z: 3}. Give prob of sequence eeez.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 + 384. Let r(f) = 3*f**3 - 2*f**2 - f + 2. Let x be r(-2). Let k = x + y. Calculate the remainder when k is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/126*(-28)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:47 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057686807 rounded to six dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:28 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 18 = -4*d, 374*j - 368*j - 90 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.44 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -531573 by -38.\nAnswer: 531573\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 41 = -5*m - 27, -m + 1 = -w. Let f = -2 - 0. Sort f, -20, 1, m in descending order.\nAnswer: m, 1, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((sqrt(832) - 4*sqrt(832)) + sqrt(832))*-2)\/((sqrt(4) - (sqrt(24)\/(sqrt(24)\/sqrt(4)) - sqrt(4))) + sqrt(40)\/(sqrt(10)*-2)) + 4)**2.\nAnswer: 256*sqrt(13) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*(-4)\/16*(-28)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from rprrrdppprpdrpp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -52, -14, -1\/6, -45, 1\/5, -5?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppbppppzpbzbzzbz. Give prob of sequence bb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*g - 52028 = 0, -8*g = -2*f - 3*g - 51983. Let k = 3913 - f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 97*q + 201*q = 105*q - 16, 6*v + q + 17 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-312)\/(-2808))\/((-2)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 565 + -562. Solve 0*g - g = -t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:49 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.9 - 3. Let s = -8.737 - -3.737. Which is the closest to -1\/4? (a) -4\/9 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -24 + 35 - (1 - -8) - 7. Let l(v) = -v + 15. Calculate l(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502.5725 rounded to one decimal place?\nAnswer: 1502.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from qqhzqzqzzqzqap.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -1210.8273?\nAnswer: -1211.0273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179150.\nAnswer: 2, 3, 5, 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2) - (-7)\/2. Suppose -9 = q*f + 3*v, -4*f - v - 2 = 8. Put 0, -1, f in descending order.\nAnswer: 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/9 - 334*g\/9 + 440\/3 = 0 for g.\nAnswer: 4, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000200009 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5620182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 5*c - 2. What are the prime factors of n(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51587*z**3 - 3*z**2 - 765157 wrt z?\nAnswer: -154761*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 40. Suppose o*i = -12*i. Which is smaller: -5 or i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(1*-2 - -4). Let v(x) = 3*x + s + 0. Let b(u) = 3*u**2 - 4*u**2 + 3*u**2. Calculate v(b(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196685 divided by -170955.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*x + 3*x = 13, -5*i + 5*x + 145 = 0. What is the third derivative of i*f**4 - 351*f**2 + 371*f**2 - 2*f**4 wrt f?\nAnswer: 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968856 = -24*f + 969120 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 11*y - 26. Let r be d(-6). Suppose 3*k + 3 = 56*i - 58*i, 0 = 2*k + 5*i + 13. Sort r, 2, -5, k in decreasing order.\nAnswer: r, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.37835694 rounded to 1 decimal place?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3873, 3597, 3323, 3051?\nAnswer: 2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 5, h - 2*a - 68 = 0. Suppose 140 + h = -5*x. Is 206\/6 + 14\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d*d\/d**(-16)*d)\/d)*((((d*d**(-29))\/d)\/d)\/d)\/d*(d*d**(2\/13))**(-21) assuming d is positive.\nAnswer: d**(-952\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1506853042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89 - 202 + 81 + 9*x)*(-3 + 3 - 1)*(-5 + 3 - 3) to l*x + f and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 + -8 + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.0751 + 273.\nAnswer: 267.9249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2689411.\nAnswer: 2689411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 4 - 3*v**2 - 8 - v**3 + (3*v**2 - 3*v + 3*v)*(-2*v + 2 - 2).\nAnswer: -7*v**3 - 3*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -43*i + 39. Let k be s(1). Which is the second smallest value? (a) -13\/4 (b) 0.05 (c) 2\/19 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, 2, -22?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-275)\/1155*36\/(-10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -36.3\nAnswer: 40.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 18, 18, 14, 6, -6?\n\"Answer: -2*h**2 + 10*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94952 and 14276?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-21)*299\/((-149500)\/(-1800)).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(48)\/sqrt(54) + sqrt(8) + sqrt(1152)*2))\/(2*sqrt(324) - (5*sqrt(20)\/sqrt(5) - sqrt(4))).\nAnswer: -38*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**5 - 136*g**4 - 1732*g**3 - 10288*g**2 - 28864*g - 30976.\nAnswer: -4*(g + 4)**3*(g + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3030311122 (base 4) to base 14\nAnswer: 17ba8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1307 - -1847. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11 - 60*q**2 + 120*q**2 + 4*q + 15*q - 48*q**2 + 4. Let d(i) = -4*i**2 - 6*i + 2. Give -7*d(s) - 2*l(s).\nAnswer: 4*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 - 2 + 2 + (-3*z**2 - 3*z**2 + 4*z**2)*(-z**2 + 2*z**2 + 0*z**2) + z - z - z**4 + 33*z**4 + 70 - 70.\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16561\/17 greater than 975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580264490 rounded to the nearest 100000?\nAnswer: -1580300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -49130740.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490478153.\nAnswer: 11, 71, 628013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-1)\/((-12)\/(-435)). Let g = c - -27. Let v be (-3)\/g*-1 + 20\/15. Solve 2*p = -p + 2*t + v, p - 2*t = 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9530.964 millennia to centuries.\nAnswer: 95309.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by -5.\nAnswer: -128\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -81320, -2, -5.\nAnswer: -81320, -7, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 821\/203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 20*n**2 + n. Let v be u(1). Let k = 65245\/97872 - -1\/32624. Which is the nearest to k? (a) 3\/5 (b) 1\/2 (c) 0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54771925 to the power of 1\/3, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1157 and 1313?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*b + 2 - 5*b**2 - 2*b - 23*b**2 + 17*b**3 - 2*b**3.\nAnswer: (b - 1)**2*(15*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4384 is divided by 113.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d**2 + 4*d - 1 + 3*d + d**3 + 5. Let k be i(9). Let u = -10 - k. What is the remainder when 7 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46906 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33*(-9)\/198)\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-28*9\/(-360)) + 2112\/1596?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*t = 2*u - 3, t = -5*u - 1. Let o be 1 + (25*-1 - u). Let a be (-1)\/(-4) + 6\/o. Let g(w) = w + 7. Determine g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 343, 338, 335, 334, 335?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -84, 95, 4, 2 in descending order.\nAnswer: 95, 4, 2, 0, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2286\/(-14478) + 383\/19.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhm when three letters picked without replacement from hudddddkmduddhddddu?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 24*j + 26.\nAnswer: -2*(j - 1)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgq when three letters picked without replacement from {q: 1, k: 1, i: 1, h: 1, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/29)\/o*o**(-4\/3))**(-4\/9) assuming o is positive.\nAnswer: o**(836\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87448 is divided by 2275?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000224663 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.458046776 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*k + 74*k + 39 = 5*x, 3*x - 15 = 0. What is the least common multiple of k and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81 - 12?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + -4. Let w = t + 25. What is the derivative of -7 + w*y**3 - 3*y**3 + 1 + 1 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-one quarters of a meter?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9490 < 852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.555576 and 36.298.\nAnswer: 45.853576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36736259 to the nearest integer?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 0*d**4 - 2*d**5 + d**5 + 0*d**5 + 4*d**5 + (-d**4 - 2*d**2 + 2*d**2)*(-3 + 2*d + 3).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01246807 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c - w, -3*c + 5*w = 2*w - 21. Suppose -3*i = 2*z - 560, -c*i + 201 + 159 = -2*z. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 11:10 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131\/57 - 12\/19. What is the second smallest value in 0, a, 2\/3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9806 + 0.0194. What is the smallest value in h, 0.04, 5\/6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6736334 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 - 3*g + 4. Let o(h) = -h**3 + 2*h**2 + 3. Let s be o(2). What is y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 34*o + 19228 = -31*o, 0 = -5*a - 2*o + 96153. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81 - 2821241?\nAnswer: -2821150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.66 + 20.429. Round u to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -313 + 155 + 30*t + t**3 + 159 as d*t**2 + v*t + i*t**3 + w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5925695276 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 25*q - 186. Give x(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6706)\/(-126) - (-2)\/(-9). Let w = j - 56. Let m(k) = 2*k + 3. Let z(f) = -2 - 2*f - 4 + 2. Give w*m(d) - 2*z(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3150 and 144?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1824\/1672)\/(36\/(-220)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 116454, 117073, 117694, 118317, 118942, 119569, 120198?\n\"Answer: y**2 + 616*y + 115837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1876, 3703, 5532, 7363, 9196, 11031, 12868?\nAnswer: 14707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.70937 + 1.19911. Let d = g - -1.51. Round d to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-1 + (-4)\/(-6)). What is the closest to m in -1, 0.4, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/115)\/(7\/70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11\/8)\/(s\/s**(-24)))\/(s**32*s\/s**(4\/17)) assuming s is positive.\nAnswer: s**(-8043\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5706*o**2 + 5705*o**2 + 2 - 2 + 424*o**3 as r*o + k*o**2 + a + l*o**3 and give l.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and -10.25832 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37000551*w**3 - w**2 - 5*w + 1370666 wrt w.\nAnswer: -222003306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -10 - 10. Let b(t) = t**3 + 5*t**2 + t + 6. Let s be b(x). Solve d = -s - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let u(x) = -15*x**2. Calculate c(u(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 474\/39 - (-6)\/(-39). Let v = -10 + r. Let g(c) = 24*c + 4*c**v - 24*c. Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(1 - 3 + 0)*(-2 + 3 + 3)*(-63 + 62 + 96)*(z**2 + 5*z**2 + 4*z**2) + z**2 - 3*z**2 + 0*z**2.\nAnswer: -7602*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/150 and -31\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -5, 1\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1949 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5659 - -5979. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.67509 years in months?\nAnswer: 1040.10108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 41 = 5*v, 2*x + 1 = -v + 5. Let h be 2\/v + 70\/25. Suppose -109 + 7 = -h*f. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 23*m. Let h(t) = 177*t. Determine h(q(b)).\nAnswer: -354*b**2 + 4071*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-31))\/h*h**(-4\/19)*h\/(((h*h*h\/(h*h**(3\/23))*h)\/h)\/h)*h**(-23) assuming h is positive.\nAnswer: h**(-23633\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 466 - 463. Sort -2, -28, s in increasing order.\nAnswer: -28, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbaggbbbacc. What is prob of sequence bcb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 + 19*b + 5. What is the remainder when 41 is divided by n(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/5 - 53*w\/5 - 462\/5 = 0?\nAnswer: -42, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/4 + 33*y = 0. Calculate y.\nAnswer: 0, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:42 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52011 - -23320?\nAnswer: -24251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h + 20. Let y be c(5). Suppose 3*n = d + 11, y*n - 4*n + d = -16. Suppose q - n*a + 3*a - 88 = 0, 5*a = -2*q + 194. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-44)\/k)*k**(-5\/8)\/k)\/(k\/k**48)**(-3\/25))**(-24) assuming k is positive.\nAnswer: k**(-23241\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 - 8*f - 20. Let r be w(6). Solve -14*g = -r*g + 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-29*y + 47*y - 167*y + (-3 + 0 + 5)*(6*y - 2*y - 2*y)) + (2 + 5 - 4)*(3*y - 3*y - 2*y) + 2*y + 0*y - y to q + h*y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005 and -0.0358013.\nAnswer: -0.0001790065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 + 47*t**2 + 2*t**3 + 980*t - 19*t**2 - 17*t**2.\nAnswer: 2*t**3 + 980*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b + 542. What is o(-24)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023135 to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/3*-4*((-408)\/(-40))\/(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55.69644g?\nAnswer: 55696440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32213 - 19405. Let p be s\/(-7) + 16\/(-56). Round p to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*z**4 - 13676*z**3 + 2680*z**2 + 59712*z = 0. What is z?\nAnswer: -311, -2, 0, 24\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -8*y**7\/105 - y**4\/12 + y**3\/2 + 2*y**2 + 15. What is the first derivative of n(j) wrt j?\nAnswer: -64*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*k - x, -3*x - 3 = -5*k + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1277\/2 + 686. Calculate the common denominator of 2 + ((-8073)\/(-180))\/(-23) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56361827 is divided by 1988?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(4\/3)\/w)\/(w*w**3*w)*(w**(-3)*w)\/(w*w**(-2)\/w))**7)**(-16) assuming w is positive.\nAnswer: w**(1568\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 16, 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 greater than 0.108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**3 - 2*y - 2. Let w(j) = 27*j**3 + 9*j + 9. Determine 9*n(u) + 2*w(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/2772 and -5\/15624.\nAnswer: 171864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 - 3*t**3 - 5155505*t**2 + 59274261*t?\nAnswer: 12*t**2 - 18*t - 10311010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*y**3 + 72*y**3 + y**2 - 3*y**2)*(-2*y**2 - y**2 + y**2).\nAnswer: -10*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 5\/(15\/(-288))*17775\/(-150).\nAnswer: 125136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 1. Let w(a) = -2*a + 1. Let q(t) = w(t) - z(t). Let g(o) = 2*o**3 + 89*o**2 + 613*o + 34. Let m be g(-36). Determine q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11854?\nAnswer: 2, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 283*w + 283*w + 4*w**3 + 2*w**4 to the form a*w**3 + h + m*w**2 + l*w**4 + b*w and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**2 - 6*f + 10. Determine t(-4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -161, -333, -563, -845?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 284 = -308 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 287165?\nAnswer: 2871650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 + x. Let h be i(-1). Let j(n) = 2*n. Let l(k) = -2*k - 3*k + 2*k. Let m(r) = h*j(r) + 3*l(r). Let t(u) = -2*u. Determine m(t(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 33.87. Let a = 3.13 + h. What is the second biggest value in 2, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -516, -1734, -4104, -8010, -13836, -21966, -32784?\nAnswer: -46674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (22 - -46) + -9\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16c + -2ac5?\nAnswer: -2c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3*4)**2 - 2*1*sqrt(11).\nAnswer: -2*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:49 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**3 - 750*f**2 - 1482*f + 23. Determine d(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - q - 16 = 19*a, 2*a - 25*q = 890 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 + 31*o - 32. Let g be m(1). Find the third derivative of 120*y**2 - 51515*y**4 + 51515*y**g - 140*y**5 wrt y.\nAnswer: -8400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30943?\nAnswer: 11, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*sqrt(1539)*4)**2 + (sqrt(2299)*3 - sqrt(2299) - sqrt(171)\/(-4*sqrt(9)))**2.\nAnswer: 1152*sqrt(19) + 6454499\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) 0.8 (c) 2\/15 (d) 1 (e) -466\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -238 - -0.08369\nAnswer: -237.91631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 194*p**4 + 2216*p**3 - 7950*p**2 + 9225*p = 0. Calculate p.\nAnswer: -205, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by -2\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 128. Suppose 4*r = r - 4*v + 59, 3*r - v = j. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6524*o + 6531*o - 143157. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 6 (c) -30 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2 + 6. Suppose -c*h = -h - 1. What is the greatest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - 4. Let s(x) = -x + 1. Let l be (-4)\/8*-4*(-2)\/(-4). What is l*y(o) + 6*s(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 565*x + 11975. Give r(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 47. Let k = o - -7. What is the units digit of (-542)\/k - (-9)\/(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -226576*b + 3179. Let v(j) = -285*j + 4. What is 3179*v(c) - 4*z(c)?\nAnswer: 289*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -1\/24*a**4 + 13*a**2 + 0*a + 0*a**3 + 0. Let z(c) = -3*c**2. Calculate z(x(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*b = 11, b = -3*y - 0*b + 10. Let f = 2362 + -2358. Let s(p) = y*p - 3*p - 3*p + f*p. Let l(w) = 13*w. What is l(s(z))?\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q. Let f(y) = 21*y. Let x(k) = 2*f(k) - 18*m(k). Let u(z) = -21*z. What is u(x(n))?\nAnswer: -126*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24802 is divided by 8004?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9577042 is divided by 525.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -5*l + 8*s - 1, 5*l + 5 = -5*s. Suppose l = 3*n, -33 = i - n - 107. Calculate the highest common divisor of 111 and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2249 + 2366. Let b be 78\/8*(0 - -4). What is the greatest common divisor of b and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 682 = 3*h + 2*h, 2*l - 448 = -2*h. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9235.957 litres in millilitres?\nAnswer: 9235957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {j: 2, t: 7, b: 1, q: 3, a: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - 31 - (-141 - -135).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w = -n - 1, -3*w = n + 1. Suppose 6 = 2*v - 0*v. Calculate the remainder when v\/(20\/18 + n) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/((-12)\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010222 + -101?\nAnswer: -100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4829*z + 28 = -5*n - 4830*z, 2*n + 5*z + 94 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 2*w = 2*p - 116, -p - 47 = 5*w. Calculate the remainder when (-3 - -30)\/(p\/(-45)) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-4 + 2*x + 4) + 3*x + 6*x - 8*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -17*s. Let n be 4\/(-4) + (39 - 34). Let p(i) be the second derivative of 0*i**3 + 0*i**2 - 13*i + 0 - 1\/4*i**n. What is p(l(t))?\nAnswer: -867*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2184210 and 51?\nAnswer: 37131570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -729, 1, -10 in increasing order.\nAnswer: -729, -10, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:32 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5904865304?\nAnswer: 2, 13, 47, 1208033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 7*w - 8. Is h(-7) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*h + 11, -2*h = l + 15 - 10. Let y(w) = -8*w - 22. Let c be y(h). Solve 0 = 2*j - 4*b + 14, -9 = -0*j + c*j - 3*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + 0.93. Let t(z) = 19*z**3 + z**2 - 2*z + 1. Let w be t(1). Let p be (-108)\/(-26) - (w + -15). What is the closest to -1\/2 in j, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/8)\/k*k*k*k\/(k*k\/(k\/(k*k**(-1\/10)))) assuming k is positive.\nAnswer: k**(-11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 3024*x**2 - 762048*x + 64012032.\nAnswer: -4*(x - 252)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u + 2*u - u. Let x(h) = 10*h - 6. Let o(b) = 9*b - 5. Let t(m) = -6*o(m) + 5*x(m). Determine t(n(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95, -94, -87, -68, -31, 30, 121?\n\"Answer: m**3 - 3*m**2 + 3*m - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2 - (24 - (7 + 15))) + -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, -0.2, 6425, 0 in descending order.\nAnswer: 6425, 3, 0, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*y**2 + 1748*a*y - 137*a - 4590409*y**2 - 3*y wrt a?\nAnswer: -2*y**2 + 1748*y - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r + 6*r. Which is greater: r or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**3 - 147*a**2 - 257*a**3 + 370*a**2 - 82*a**2 - 141*a**2.\nAnswer: -224*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 399, -1\/8, 16, 0, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, 1 e, and 1 b when four letters picked without replacement from {b: 1, p: 2, l: 1, e: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -775849208 divided by 1?\nAnswer: -775849208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8987 + 9003. Solve -2*w = -15*k + 17*k + 14, -w - c = 4*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 25*k - 28. Calculate the remainder when 700 is divided by r(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2991 - 1.3?\nAnswer: 2989.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 3)*(a - 3*a + a) + 1236 - 1236 + 16*a - 2*a + 0 + 0 - 5 + 2 + 5 - a to j + w*a and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3*(-28)\/(-140)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 53. Let m(y) = -y - 78. Let t(d) = -8*l(d) - 5*m(d). Let v be t(-18). Solve -8*o + v = -13*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*r*z**2 + 2*m*r + 302702*m*z**2 + m*z + 19*r*z**2 + 240*r*z + r - 3320 wrt z.\nAnswer: -4*m*r + 605404*m + 38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 77590694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 33*d - 25*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -550892 divided by 275446.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60054.6 litres to millilitres.\nAnswer: 60054600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8124*m + 593029. Calculate h(-73).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 + 5*b**2 - 17 - 1 - b**2 + 1 + (-6*b + 3*b + 4*b)*(4 - b - 4) + 7*b**2 + 8*b**2 + 39*b**2.\nAnswer: 57*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 11397*b**5\/20 - 4114*b**2 - 4265*b - 2. Differentiate s(y) with respect to y.\nAnswer: 34191*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + 44. Let x = 120 - q. Solve x = 4*k - 5 + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 2*h**3 - 6*h**3)*(0 + 5 - 2).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(((-140)\/(-8))\/7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1\/9)*j)**(-44)\/(j**(-20)\/j**(3\/5)) assuming j is positive.\nAnswer: j**(-4793\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 48, -37, 4.\nAnswer: -37, 1, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u**2 - 136*u + 6. Determine o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:33 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69.71959534 - -3.62115604. Let l = -0.0958893 - f. Let y = l + -66. Round y to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 30*b - 59. Calculate t(-38).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850828 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 21. Solve 8*g + z*g = -40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -1\/25*u**5 + 0 - 1\/75*u**6 + 2\/15*u**3 + 0*u**4 + 1\/5*u**2 - 10*u. Determine a so that f(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270 + 1807. Suppose -p = -s - 1557, 9*p + j = 10*p + 3*s. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8593, -10670, -14131, -18976, -25205?\n\"Answer: -692*w**2 - w - 7900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*r + 682. Suppose 0 = 5*z + n - r, -130 = 3*z - 7*z + 2*n. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/14 - 1 - 507\/(-1365)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-12\/7)\/(n**(-1\/2)\/n)*(n*((n\/n**(3\/5))\/n*n)\/n)\/n**(-5\/4) assuming n is positive.\nAnswer: n**(201\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = -4*t + 1, 5*t = 2*b + 1. Let i(g) = g**3 - 32*g**2 + 24*g + 34. Let l be i(31). Let r = 187 + l. Sort -4, b, r in descending order.\nAnswer: b, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3 - (-4 - -2)) - (-506 - -470).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 16*s - 42. Let w = 12763 - 12773. Give o(w).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1423, 1\/10, -0.03, -7, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132002029.\nAnswer: 1361, 96989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)*o**5)**46 assuming o is positive.\nAnswer: o**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**3 + 2*g**2 + g - 2. Give a(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -922\/7 - -132. Let q = 115.88 + -115.98. Which is the fourth smallest value? (a) q (b) 0.3 (c) z (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*c**2 + 2 - 8\/3*c.\nAnswer: 2*(c - 3)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -22.9, -1664, -1\/11 in descending order.\nAnswer: -1\/11, -2.3, -22.9, -1664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62537 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 10, -0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077 times 8?\nAnswer: -0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 11)*(-8)\/5. Let b(p) = 10 + 3*p + 4*p + 1. Is b(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g - 8. Suppose 4*p + 2 = 2*y, 0*p - 1 = -p. Let s = -92 + 90. Sort g, y, -1, s in descending order.\nAnswer: y, g, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 7 - 15 + 7. Suppose 0*l = -2*l - l. What is z(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3115307, -3115329, -3115375, -3115457, -3115587, -3115777, -3116039?\n\"Answer: -2*a**3 - 8*a - 3115297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, t: 5, s: 1, i: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*n, -3*n + 4 = 3*q + 2*n. What is the biggest value in 2, 3, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10241 is divided by 394.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419 - -219. Let l = n - -200.0000091. What is l rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + s**2 + s - 2. Let q be g(0). Let f be ((7\/(-2))\/(-7))\/((-1)\/q). What is the nearest to 3 in 1\/10, 4\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -14.7. Let q = t - 0.7. Let z = -0.9131 + 0.4131. Which is the nearest to 2\/3? (a) z (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9282 = 5*s + 1122. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -12. Let m = t - -7. Let j be m\/(-6)*-3*6. What is the greatest common divisor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -1012\/13. Let t = -4 + 6. Suppose t = 3*k - 1. Does j = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 1. Let v(r) be the first derivative of -7*r**4\/4 + 5*r**2\/2 + 9*r + 40. Let x(u) = -10*k(u) + 2*v(u). Differentiate x(o) wrt o.\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 3*u**2 - 2. Let w = -17 - -20. Let a(l) = 3*l**2 - 2*l**w + l**2 - 1 + 2 - 6*l**2. Determine -4*a(f) - 3*g(f).\nAnswer: 2*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 6501950?\nAnswer: 39011700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-988)\/13872*-17 + 5\/(-4)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/24 - 5*q**3\/6 - q**2. Let v = 38 + -35. Determine w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (325972*t + 2 - 2 - 328643*t)*(3*t - 5*t + 0*t).\nAnswer: 5342*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -67) + -469 + 458.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**3\/12 - 5*p**2\/8 + 3*p\/2 + 27. Factor s(j).\nAnswer: -(j - 1)*(j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -321627\/4 + 81843. Let t = w - 1444. Find the common denominator of t and 113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872000 = -60*m - 65*m. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 31 - 176. Let b = -2 + 12. Calculate the remainder when g is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**4 + 330*l**3 - 23815*l**2 - 311100*l + 18455540 = 0?\nAnswer: -103, -31, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9163 and 6.7?\nAnswer: 61392.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -734\/7 - -14827\/140. Find the common denominator of (-4)\/(-14) + (-845)\/42 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -53*f**2 + 6566*f + 748. Determine h(124).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-22 + 14)) + (10 - 29)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24786968 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**5 - 346*m**4 + 2*m**3 - 1204*m - 3?\nAnswer: -100*m**3 - 4152*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w = 31*w + 10. Differentiate -2*n**w + 49 - 3*n - 8*n**2 - 15 + 0*n with respect to n.\nAnswer: -20*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 + 5 - 3) - (-11 - (-43 + 20))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1968.4, -0.2, 0, -8, 2\/7, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577123 is divided by 64124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/19 - 212*g\/19 + 214\/19 = 0.\nAnswer: -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 21)\/(-12 + 11). Let k = a + -18. Suppose k*s + s = 125. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*(5\/(-15))\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1166*g**2 + 10*g - 5. Let n(z) = 23902*z**2 + 204*z - 102. Determine -102*j(s) + 5*n(s).\nAnswer: 578*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147487*u**4 + 189260 wrt u.\nAnswer: 589948*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17117.\nAnswer: 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6) - 7\/(-2). Let i be ((-2)\/4)\/(l\/2). Suppose 0 = -2*r - 0*r. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -929 divided by 103.\nAnswer: -929\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33233222220 (base 4) in base 2?\nAnswer: -1111101111101010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -4260\/17?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6944*u + 35011. Give r(5).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 + 42 + -180 + (-1 - 11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220000 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*q**2 + 2*q - 9 wrt q.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*v - 4*v + 5*v - 2.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -629\/1197 + -4\/133. Let f = -2\/9 - s. Which is the smallest value? (a) f (b) -2\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. What is the third smallest value in a, 2\/25, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 64447.\nAnswer: -27\/64447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6395361 and 19509.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*v + 469*v - 2 - 1.\nAnswer: 563*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11398 + 20831. List the prime factors of x.\nAnswer: 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 22*q**2 - 53*q + 297. Calculate d(20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/(12\/(-3474)). Let j = 961\/5 - z. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/20 + 13*t**4\/12 + 4*t**3\/3 - 6*t**2 + 3*t. Let i be p(-13). Let o = i + 227. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148901710.\nAnswer: 2, 5, 14890171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) 0.05 (b) -16263 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6662190 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*f + 2116 + 2258 - 1184 = 0. What is the second biggest value in 1, -2\/15, f, 14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqql when four letters picked without replacement from laqqqqaqqaa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3100*b. Let n(g) = g. Determine o(n(v)).\nAnswer: 3100*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((16\/28)\/(2\/7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73312234 to the power of 1\/2, to the nearest integer?\nAnswer: 8562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4331 - -326?\nAnswer: -4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (23 + -55 + 8) - 61?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + sqrt(99) + 2))**2 - (2*sqrt(1331))**2.\nAnswer: -5221 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.829 - 0.329. Let n = -6 + 5. What is the closest to n in 1, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.02 - -23.022221. Round k to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142575, 570273, 1283097, 2281047, 3564123, 5132325, 6985653?\nAnswer: 9124107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 4192*a - 2196608.\nAnswer: -2*(a - 1048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -2. Suppose 2*t + 5 = u, w = -4*u + 4*t + 24. Suppose -i + 2 = 2*n + 3*i, 2*n = u*i + 9. Which is greater: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**3 + 5*z**2\/2 + 3*z. Let r be c(4). Find the third derivative of 35*w**2 + 14*w**4 - 61*w**2 + r*w**2 wrt w.\nAnswer: 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -21 (c) -225 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a factor of 2055276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 1 + 1\/3*f**3 + 3*f**2 - 7*f. Suppose 0 = -14*v + 17*v + 18. Give t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6119 - 1493822341.\nAnswer: -1493828460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 6. Let y be z(6). Suppose y = -2*h - 9*h + 2321. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4629*x - 83316. Calculate l(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4025978669 take away 0.1389?\nAnswer: -0.5414978669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:21 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/2 - 85*m**2\/2 + 2583*m = 0. Calculate m.\nAnswer: -126, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.037205, 1, 5.67?\nAnswer: -0.037205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4, -5*k = 5*m - 0 + 5. Let l be (m\/6)\/(1\/3). Is 0 - (l + 2)*-67 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 98a85?\nAnswer: -98a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**1))\/u**(-2\/7))**(-1\/4)*(u\/(u\/(u\/(u\/u**1)*u))*u**4*u)\/(u**(-6)\/(u**6*u)) assuming u is positive.\nAnswer: u**(565\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 921 = -2*u - u, 918 = 4*p - 2*u. Let q = p + -116. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -7) + -9 - -8. Solve k*u + 19 = -g, -9 = -4*g + u + 4*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i. Suppose i = 4*k - 43 + 7. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.0142\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/w*w*w\/((w**9*w)\/w)*w)**(-8)*(w**(6\/11)*w*w**(4\/3))**(-47) assuming w is positive.\nAnswer: w**(-769\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 433, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-nine quarters of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3120 and 2169288.\nAnswer: 282007440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -113 (c) 1.5 (d) -27\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -q - 1, 3*m - 3*q = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 821988?\nAnswer: 5753916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71 * 2.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1*165\/10 + 1. Let g be 2771\/y + (-1)\/(-2). Suppose 16 = -4*r, -4*k + 3*r = k - g. Calculate the highest common factor of k and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871678 != 871677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 12*c**2 + 23*c - 34. Let m be a(12). Suppose y - m = l - 4*y, y = 5*l + 1114. Let j = -132 - l. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28984 divided by 2\nAnswer: 14492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (325\/(-26))\/(18\/24*10\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1428, 2\/17, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-816)\/153*6\/(-8). What is the tens digit of ((-12)\/x)\/((-15)\/4105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4092 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**7\/1680 - m**5\/60 + 5*m**2. Let o(z) be the third derivative of i(z). Let t(c) = -5*c. Calculate o(t(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3176 and 3970?\nAnswer: 15880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10624, -88423, -299598, -710839, -1388836?\nAnswer: -2400279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 + -76. Suppose m = 3*m - 64. Let v = k - m. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -11\/4, -15, 45, 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26441954.\nAnswer: 2, 7, 11, 103, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 36068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 772 + -773. Let l(w) = w**3 - 5*w**2 + 3*w + 3. Let j be l(3). Which is the smallest value? (a) o (b) j (c) 5\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3334432004 - -2?\nAnswer: 3334432011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0 + (-5 + 10 + 55)*(1 + 2 + 3))*(4*k - k + 0*k)*(-3*k**3 + 3*k**3 + k**3) to the form z*k**2 + j*k + a + x*k**4 + n*k**3 and give x.\nAnswer: 1077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-52))\/(30\/(-10)*40\/(-120)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(117)*1*-1)**2 + ((-1*(sqrt(117) + 1) - sqrt(117)) + 1*(sqrt(117) + sqrt(117) + -2*sqrt(117) + sqrt(117) - sqrt(117)))**2)*6*5.\nAnswer: 360*sqrt(13) + 101820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40504 - 202517\/5. Find q such that 48\/5*q + u*q**2 + 192\/5 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3515799 to the nearest integer?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 604573984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.3 + 19.3. Put 1\/7, -0.03, o in descending order.\nAnswer: o, 1\/7, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81267101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (113 - 62*g - 113)*(-g + g - 4*g) + 3*g**2 - g**2 - 4*g**2 in the form c + o*g + h*g**2 and give h.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide ((-1746)\/(15 + -6))\/((-5)\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 4*l + 3. Solve g = -4 + l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 9*s**2 + 10*s + 5. Let h be f(10). Suppose 0 = -4*u + u - h*j + 164, 0 = -3*u + 5*j + 154. What is the highest common factor of u and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2 times -35038?\nAnswer: 392425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -3*u**2\/2 + 4*u + 1. Let z be (-713)\/62 - 150\/(-20). Let d(i) = 2*i - 5. What is z*d(p) - 5*b(p)?\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1695 divided by 339\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 5*p**4 + 0*p**4)*(-3 + 2 + 0)*(-724*p - 723*p + 360 + 1446*p).\nAnswer: -4*p**5 + 1440*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 1, i: 3}. Give prob of picking 2 i and 1 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - 20) + (2 - -3). Suppose 4*w = -i + 13, 2*w = -0*i - 2*i + 14. Sort -5, t, i in ascending order.\nAnswer: -5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -49. Suppose -4*u + 3*o + 907 = 0, -62 = 3*u + w*o - 764. List the prime factors of u.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61647734*u - 64803789?\nAnswer: 61647734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)*(b*b**(2\/21)*b)\/b*(b\/(b\/(b**(-5)\/b)))\/b*b**2)\/((b**(-1))**(-19)\/(b\/(((b**1\/b)\/b)\/b)*b**(1\/7))) assuming b is positive.\nAnswer: b**(-767\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12. Suppose 0 = -c + 3 - g, -15 = -4*h - c. Solve 2*a = h*t + 8, 2*a = a - 3*t + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 9*q - 39. Let a be b(-9). Let h be (-130)\/4*(-468)\/a. Is h bigger than -390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -966, -7738, -26116, -61902, -120898, -208906, -331728, -495166?\n\"Answer: -967*x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206.07 - 206.27. What is the nearest to 0 in 0.1, l, -158, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = -5*z. Let s(o) = 0*o**2 + z*o**2 - 12*o**2. Let h(r) be the second derivative of r**4\/6 - 538*r. Give s(h(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3 - 1140*d**2 - 35986*d - 292128 = 0.\nAnswer: -537, -17, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1261 - 0.071.\nAnswer: -1261.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18*f**3 + 3*f**2 - 2. Is n(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -10*m - 3*v, -3*v - 3227 = 3*m - 3218 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269527\/110550 + 53\/1675. Find the common denominator of k and 45\/(-2475)*(-390)\/12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 - (-188)\/16. Suppose 4*i = -2*h - s, h - 12 = -h + 4*i. Suppose -2*n - n + 690 = h. What is n rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6721 = 25*n - 23*n - 3*k, -16816 = -5*n + 3*k. Does 58 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 230324 + -3?\nAnswer: 230321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.092692 - 0.11425. Round i to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.27940397 to three dps.\nAnswer: -21.279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4773.91 + -1.8878\nAnswer: -4775.7978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*c - 3*c**2 - 4*c**3 + 10*c**3 + c**4 - 5*c**3 - 3*c**4 as u*c**2 + n*c**4 + o*c + h + w*c**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6395107*d**3 + 6720494 wrt d.\nAnswer: 19185321*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 17 - j**3 + 11*j**3 + 17 - 5*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12166462.\nAnswer: 2, 7, 11, 199, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*a - 46 - 54 + 100 as s*a + o and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 18 + (-106)\/(-477)*-18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1158.835 + 1159. Let v = 4726.235 - 4701. Let p = g + v. Round p to 0 dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 0.9, 2, -1\/28?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 3*h**2 - 2*h - 4. Let u be k(-3). Let p = -22 - u. Let n be (3\/(-4))\/(6\/p). Solve -o + 6 = -n*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3\/2 - 28*c**2 + 429*c\/2 + 5445 = 0.\nAnswer: -10, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -25. Let r(q) = 3*q**2 + 2*q - 44. Suppose 2*l - 16 = -6. What is the remainder when r(l) is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2183 and 980757?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-1274)*-28*490\/35?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(-36 - 51 - 4)*(-2*q + 0 + 0) + (-2 + 0 + 3)*(-2 + 2 + q).\nAnswer: -363*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58 from 5.67.\nAnswer: 63.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:28 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 4370702.\nAnswer: 21853510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 428977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coo when three letters picked without replacement from {t: 7, o: 11, c: 1}?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/64*(-176)\/4*1*20\/10.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + 5 + 1*sqrt(320) + sqrt(400)\/sqrt(5) + -1.\nAnswer: 4 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145763.\nAnswer: 71, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 4. Let x(j) = 6*j**3 + 8 + 9 + 4*j**3 + j + 3*j**3. What is 9*v(w) - 2*x(w)?\nAnswer: w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/28 + -18\/7. Let z = -7.9 - -9. Let q = z - -3.9. Which is the second biggest value? (a) -5\/6 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*p - 203 = -770 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - -121.7. Let f = c - -13.3. What is the nearest to f in 0.4, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:46 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25963 divided by 6?\nAnswer: 25963\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2 + 5253832*g - 47284326 = 0. Calculate g.\nAnswer: 9, 2626907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317527 is divided by 4120?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*a)*(4 - 2 + 0)*(0 + 2 - 8) in the form l + i*a and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:36 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 17*v - 6. Let n be q(5). Let w = n + -27. What is the lowest common multiple of w and (-1)\/(0 - -1) + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(30\/12)*(-9)\/((-54)\/(-48))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -584900 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (-5*sqrt(243)*2 - sqrt(243) - sqrt(243) - (sqrt(243) + -3 + 3)))**2.\nAnswer: -468*sqrt(3) + 41066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/6 + 1721*g**3\/3 - 3440*g**2\/3 = 0 for g.\nAnswer: 0, 2, 3440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/((-2)\/(-10)). Suppose 3*q**2 + 2*q - 8*q - q - m*q = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/61 - 1304\/671. Suppose -x - 3*x - 156 = 0. Let n = -113\/3 - x. Calculate the common denominator of n and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, o: 2, i: 2, j: 4}. Give prob of sequence oio.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 404032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1181\/150 + -47\/6. Let b(k) be the second derivative of 1\/75*k**6 + 0 - l*k**5 + 0*k**2 + 6*k + 0*k**3 + 1\/30*k**4. Factor b(n).\nAnswer: 2*n**2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = 4*m - 41*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -60083\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 32. Let a be y(-23). Let m be (-1)\/(-1*(15\/a - -2)). Let q be 1 + (4 - (-2)\/(-1)). Solve -4*w + i = m, q*i - 11 + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 10*g - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 3*q - 1\/420*q**6 + 1\/84*q**4 - 1\/2*q**2 + 0*q**5 + 0 + 0*q**3. Let f(v) be the first derivative of a(v). Factor f(p).\nAnswer: -2*p*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 14. Let w(q) = -16*q + 1. Determine j(w(n)).\nAnswer: -16*n + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11376*z - 22762*z - 14 + 11388*z.\nAnswer: 2*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -3, 1918 in descending order.\nAnswer: 1918, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 126*p - 1548. Determine t(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 185744*z + 186952*z - 3 - 2831*z**3 wrt z.\nAnswer: -16986*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 32163474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(175) + sqrt(175) + 0 - sqrt(175)*3*-6))**2.\nAnswer: -25000*sqrt(7) + 1750625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f**2 - f**3 + 392 - 392 + 2*f to h*f + b + v*f**3 + l*f**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**8\/1680 - u**7\/840 - u**6\/360 + u**5\/120 + 2*u**3\/3 + 4*u**2. Let a(b) be the first derivative of i(b). Factor a(x).\nAnswer: x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48959 and 33389?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -232130322?\nAnswer: -232130321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*t = -2*n + 4, -n = 2*t + 10. Let l be (-3 - n)*(1 + 0). Let z = -150 - -746\/5. Which is the nearest to 2\/3? (a) z (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5 + 4. Let t be (-4 - d)\/(2 + -1). Suppose t*y = 6 + 9. Solve -21 = y*l - 2*x - x, -25 = 4*l - 3*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-5) - (-6)\/10. Solve -t + 2*a**3 + 3 - 1 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 13. Suppose 846 = -192*x + 1218*x - 13518. What is the smallest common multiple of x and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 23 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*b**3 - 53*b**2 + 53*b**2)*(-2 + 2 + b) + (-5 + 5 - 2*b)*(b**3 + 2*b**2 - 2*b**2) in the form f*b**3 + t*b**4 + a*b**2 + v*b + z and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*j + 65 + 20 = 0, 5*j = 2*u + 63. Let p = u + 15. List the prime factors of 2 + p + 1 + 11.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19008 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/10 - n**4\/6 + n**3\/2 - n**2\/2 - 10*n - 2. Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13490000 to the nearest one hundred thousand.\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*v - 2*v. Suppose v*h = -r - 3 + 17, 0 = 5*h + 5*r - 40. Suppose h*i = -i + 132. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 33 = -3*d + 16, 0 = -3*d + 3*v + 39. Let n(r) = 2 - d + 11*r + 0 + 8. Is 15 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 17\/6, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 18*y**3 - 111*y**2 - 90*y.\nAnswer: 3*y*(y - 10)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d - 6. What is the remainder when w(-5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1242\/7 - -1240\/7. What is the closest to 1 in 2\/9, -0.02, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -59. Let o = z - 72. What is the biggest value in o, 0.1, -0.1, 0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 757*r**2 + 0*r - 742*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/12, 3860, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40057607827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120b (base 15) to base 10.\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481 plus -2.786?\nAnswer: -1483.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 114\/5 (b) -3\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g = -29*g + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 56935472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 0.1.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -7*q + 22. Let m be -5*(-35 + q\/(-4)). Let v = m - 87. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -47. Let t be ((-2)\/3)\/(4\/(-18)). Let a be t\/(27\/3)*9. Solve -2*o - y = -0*y - a, -y = b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6276b (base 13) to base 9.\nAnswer: 288752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 27 = -11*a. Let o(l) = 15*l**2. Let m(v) = -2*v**2. Let k(u) = a*o(u) - 25*m(u). Let h(w) = -15*w**2. Give h(k(d)).\nAnswer: -375*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007995 + -0.096?\nAnswer: -0.088005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/5*1 + -1. Let s = 4.39 + -0.39. Which is the nearest to 2\/11? (a) -1 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.25 - 5. Let c = -31042.7 - -31042.950054. Let v = o - c. Round v to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + 14*i + 8. Let h = 17 + -11. Let q be c(h). Does 12 divide ((20\/q)\/1)\/(2\/(-88))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 6*l**2 - 12*l + 3. What is the tens digit of h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-6 + 8 - -1) - (-8 - -11)) + 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c*v**3 - 19*c*v**2 + c*v + 4010*c + 13495594*v**5 - 1238 wrt v?\nAnswer: 78*c + 809735640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101902621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1219*o - 1195. Let z be l(1). Solve -4*x + 4 = -4*b + 6*b, -3*b = -4*x + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - l**2 - 361 + 171 + 131.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.042 (c) -3\/5 (d) -426.8 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-90)*-1*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/70 and 95\/1316.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7610 is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/3)\/4*9. Suppose -4*o + z*o = -28. Suppose -115*x - 2870 = 132*x + 835. Is o greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2. Let p be (2 - 5)\/6*-4. Let o = p - 5. Let r(g) = 2*g**2. Calculate o*r(i) + 2*n(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1644 = -174*p + 171*p. Let a be (-6275)\/(-3) - 4\/6. Let b = a + p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {x: 3, u: 16, z: 1}.\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + ((0 + sqrt(75) + 0 - (sqrt(75) + -2)*-2)*-4)**2 + -4.\nAnswer: -1920*sqrt(3) + 11056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 10*a = 2*k - 44, 0 = -k - a + 25. Suppose -26*u + k*u + 72 = 0. Solve -4*i + u = -5*j, -2*i - 11 = -i + 3*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606507 and 7029.\nAnswer: 129185991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t)**(-27)*t\/(t\/(t\/t**(1\/4)*t))*t\/((t*(t*t**(-6)*t*t)\/t)\/t*t))\/((t*t**4)\/(t*t*t**(-2))*(t**0)**(20\/9)) assuming t is positive.\nAnswer: t**(-159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -5*y + 4*j, 0 = -10*y - 9430*j + 9427*j - 65 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*p + 9 + 1, -4*p - 30 = -f. What are the prime factors of ((-4)\/2)\/(f\/(-500))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 320759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.028 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/7 + (-432)\/(-126). Let t = -11 + 7. Let s = 0.92 - -0.08. Which is the nearest to s? (a) 5 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwwv when four letters picked without replacement from {v: 7, w: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 4*p. Let s(u) = 6*u**2 + 6*u. Let l(q) = 11*q**2 + 13*q. Let y(w) = -3*l(w) + 5*s(w). Let z = 82 + -78. Give z*y(f) - 9*d(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1151 - -1213. Calculate the highest common divisor of k and 992.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + p**3 - 2*p**3 + 3*p**3)*(5*p**2 - p**2 - 2*p**2).\nAnswer: 4*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 132958.\nAnswer: 53183.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 213579757.5 to the nearest 100000.\nAnswer: 213600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-6)\/2)*4\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/(18\/(-120)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.239 + 0.039. Let q = -50 - -21. Let o = q - -28.7. What is the second biggest value in -1, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**20*j))\/j**(1\/18)*j**(-22)\/j**23 assuming j is positive.\nAnswer: j**(-1189\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48208*-175.\nAnswer: -8436400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 2191*y**4\/24 + 45*y**2. Let q(p) = 2*p**2. What is c(q(j))?\nAnswer: 4382*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 13 = -3*n, -5*v - 2*n = -2 + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {k: 2, h: 4, p: 1, a: 6, b: 2, n: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 162 - 478 = 0. Let z = t + -62. Let o(w) = -18*w. Let p be o(-2). What is the greatest common factor of z and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 34 - 1 = 0. Suppose -4*f + 26 = 10. Solve -t + 5*k = -f, 4*t = -5*k + 21 - j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*n + 8 + 32*n - 5)*(1 + 1 + 0).\nAnswer: 110*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3.71, -5, 0.3, -1\/10, -2 in decreasing order.\nAnswer: 3.71, 0.3, -1\/10, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:33 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - c = -2*c + 35, -121 = -3*h + 5*c. Solve 0 = 8*p - h + 21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169 (base 13) to base 10.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**5\/60 + 13*i**2\/2 - 9. Let n(q) be the second derivative of x(q). Let o(w) = 9*w. Calculate o(n(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1248 and 71\/1560?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 35*t + 8 = k, -28 = -2*k - 5*t. Solve f**2 - 2*f**3 + 3\/2*f**5 + 1\/2*f + 0 - f**k = 0 for f.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2. Let u be -2*45\/12*6. Let a = u + 66. Let o(n) = -36*n + 21. Let w(k) = 7*k - 4. Let l(y) = a*w(y) + 4*o(y). What is l(s(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4102 - 45168\/11. Calculate the common denominator of v and 2\/8 - (-609)\/(-28).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + m. Let u be c(-2). Let t = u - 2. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - i**3 - 2*i + 4*i + 12 - 10 as r*i + w + t*i**3 + k*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/17)\/(m\/(m\/m**(-6)*m))*m**(-1\/10)\/(m*m**19*m) assuming m is positive.\nAnswer: m**(-2367\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 - 9*x**4 + 27*x**3 - 15*x**2.\nAnswer: -3*x**2*(x - 1)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (99 - 91 - (20 + -3))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/4 - 3765*k**2\/2 - 493544*k = 0.\nAnswer: -7258, -272, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, w: 1, i: 2, j: 6}. What is prob of sequence jij?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/4 + a**4\/2 - 4*a**3\/3 - 3*a. Let h(q) = 14*q**3 + 17*q**2 - 23*q. Let c(o) = 6*h(o) - 17*k(o). Determine c(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*v - 435*v = 88*v - 19343 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (250 + 345 - 70 - 46 + 45)*(-3*z + z + 3*z) to h + l*z and give l.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 21 = 7. Does 3 divide (-1)\/((4\/f)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 2 k when four letters picked without replacement from {n: 1, m: 1, a: 1, x: 1, k: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) + sqrt(85) + 1*sqrt(85)))\/(sqrt(50)\/sqrt(10)*5).\nAnswer: 18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -961 - -967. Let o(h) = -2*h**2 + 1. Let x(l) = 5*l**2 - 2. Calculate r*x(q) + 10*o(q).\nAnswer: 10*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1353*i = -1360*i + 1603. Solve -224*y = -i*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329*o + o**3 + 94*o + 120*o - 62 + 115*o - 10*o**2 to s + h*o**2 + k*o**3 + n*o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/24 + 7*c**5\/10 + 17*c**4\/8 + 7*c**3\/3 - 66*c**2. Solve x(k) = 0 for k.\nAnswer: -7, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 - -22)*1*10. Let k be -2 + -3*b\/(-6). Let a = k - -19. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72451 is divided by 36178.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930 is divided by 880.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35076 and 4101996?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2 (c) 105\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 732 or 731?\nAnswer: 731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 2}. What is prob of picking 1 l and 2 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -1 - (0 - -2). Let f be (4\/(-10))\/(q\/10). Differentiate 3*g**4 - g**f - 1 + 3 with respect to g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -653\/13693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5721 is divided by 5622.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 487176*u**3 + 19777884066*u**2 + 39557229672*u + 19778858427.\nAnswer: 3*(u - 81197)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8688 + 18907. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*((sqrt(153) + -2 + -1 - sqrt(153)) + -1))**2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + g**2 + 4*g**2)*(-5 - 22 + 9).\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 9:26 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**3 - 1041*i**2 + 2074*i**2 + 10*i**3 - 1040*i**2 - 2*i.\nAnswer: -21*i**3 - 7*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-4 + 7)\/(-3). Solve 0 = x*z - 12, z - 1 = -4*t - 2*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 53*t + 162*t + 203732. Which is the smallest value? (a) 1 (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001208685 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 5*t**4\/24 + 2*t**3\/3 - 5*t**2\/2 + 5. Let q(o) be the second derivative of c(o). What is the derivative of q(z) wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 1\/2, -0.4, 2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -83?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:14 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = -2*v, 6 = -v - v + x. Let f(q) = -q**3 - 3*q**2 - 8*q - 24. Let i be f(v). Solve -2 = 2*s + 4*y - i, 4*s - 5*y = -21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 590*21\/12*20\/25. Calculate the highest common factor of t and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-87)\/(-9))\/(-2*(68\/8)\/(-17))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 407 and 629.\nAnswer: 6919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 19 = -41. Suppose 0*l = 3*l - a. Let j be (9\/(-27))\/((-1)\/(-6)). What is the third biggest value in j, -1\/3, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 11342 - 11336 + 22678.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:53 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = 15. Is 1067*(k + -5 + 9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.979 - 1.021. Which is the smallest value? (a) 1 (b) x (c) 30 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8761, 17664, 26709, 35896, 45225?\n\"Answer: 71*w**2 + 8690*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**3\/3 - 9*a**2\/2 + 154*a. Let l(o) = -3*o + 14. Give 5*l(s) + 8*v(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/224 and -37\/208.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -241 + 140435?\nAnswer: 140164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(7\/2))\/j**7)\/(j**(6\/5)*j**(-1\/5)) assuming j is positive.\nAnswer: j**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (26\/52)\/((-3)\/(-9)*(-28)\/(-2))\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 11*z - 11. Let f(j) = -3*j**2 + 6 + 0 - j**2 - 6*j. Let h(a) = -5*f(a) - 3*m(a). Calculate h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296246 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4399.563 months to years.\nAnswer: 366.63025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.7207 nanograms in micrograms?\nAnswer: 0.6757207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -630, -667, -704, -741?\n\"Answer: -37*m - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 16. Let b be z(-4). Is b*-1*(-127)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 10*m**2 - 13*m. Let x(j) be the first derivative of j**3 - 2*j**2 + 2. Let p be (-1 + 4)\/((-90)\/60). Calculate p*r(z) + 7*x(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.12 (b) -177 (c) -1 (d) -7\/3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 2 + 2)*(2 - 3 + 0) + 2 - 4 - 4)*(-1 - 5 + 13)*(-r - 4*r + 3*r + 3 - 2*r - 3 + (-2*r + 0*r + r)*(0 + 1 + 1)).\nAnswer: 126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*s + 787 + 29 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2 - 23*x + 8. Let y be w(3). Solve 5*j - 10 = 0, 3*u - y*j = 8*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -796, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 214857.927 seconds in days?\nAnswer: 2.4867815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 54 = -u, 52 = 2*u - 3*a - 57. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3332 and 63749?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-7)*50\/100?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11936 and 8579?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 28. Calculate the remainder when 92 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33249 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*t + 11 = -3, 0 = r - 3*t - 7. Differentiate 19*c**3 - 13 - r*c**3 - 4 with respect to c.\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7222 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1203897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201078 or -402157\/2?\nAnswer: -402157\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6666 - -6660. What is the closest to 3 in 3, -4, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8 and -13\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 6*t + 0*t + (6 - 1 - 3)*(-3*t + t - 2*t) - t - 3*t + t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2\/11 - 304*c\/11 + 406\/11.\nAnswer: 2*(c - 29)*(5*c - 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2221 - -0.3221. What is the closest to -23 in u, 19, -3, 0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -5*x - 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u - 5. Give d(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 4*r**2 + 2*r. Suppose -2 = -o + 3. Let n(w) = 4*w**3 + 4*w**2 - 2*w. Let k(q) = o*n(q) + 6*l(q). What is g in k(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 207a + -e6d?\nAnswer: 120d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2349, -2355, -2365, -2379, -2397, -2419, -2445?\n\"Answer: -2*x**2 - 2347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -65. Suppose -3*f - 8394 = c*h, 5610 = -0*h - 2*h + 5*f. What is h rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185\/84 - 9\/7. Let k(v) be the second derivative of 0 + 7\/2*v**2 - d*v**4 + v - 3\/2*v**3. Let w(f) = -6*f**2 - 5*f + 4. What is 4*k(z) - 7*w(z)?\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3891 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -198, -197, -196, -195, -194?\n\"Answer: n - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23150000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132.2 - 132. Is j less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/4 - (-1)\/4. Suppose 3*p + f + 0 = 0. Which is the closest to p? (a) -3\/7 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 6\/5, 5, 2\/3, -11.044 in ascending order.\nAnswer: -11.044, 2\/3, 1, 6\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/30)\/((-4)\/(-280)*14)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 - 12*u + 13. Let t(p) = 4*p**2 + 11*p - 12. Let d(x) = 5*g(x) + 6*t(x). Let b be d(3). Solve b*s + 9 = 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 8) to base 7.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18553 - 18944. Put q, -1\/2, -2\/3, 3\/8 in ascending order.\nAnswer: q, -2\/3, -1\/2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -7. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p + 33 = -3*s, -15 = 3*s. Let u = 29 + p. Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**5 + 6*b**3 - 28*b + 2.\nAnswer: 20*b**3 + 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10313051 - -3325?\nAnswer: -10305322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044119 to 5 dps.\nAnswer: 0.00441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27577740 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000140081 to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -96, -113, -80, 21?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 4.5 (b) 20 (c) -1 (d) -2 (e) 2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffflflf. What is prob of sequence ffl?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o + 28*o**2 + 849*o**2 - 28*o.\nAnswer: 877*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6833 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.015?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346526 is divided by 11540?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 9*i**2 - 13*i - 9. Let q be r(-8). Let l = q + 8. Let h be (-6)\/l + (-4)\/(-13). Which is the second biggest value? (a) h (b) -1\/4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 10:22 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 9 + 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34026582 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b\/(b\/((b**(2\/73)\/b*b)\/b)))*b)*b)\/b*(b**2*b)\/b assuming b is positive.\nAnswer: b**(75\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 9 = 3*w + 1 - 20, -17*w + 65 = -3*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h - 4 = -4*o - 56*h, 0 = 830*o - 828*o + 4*h - 56 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6312 and 5608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 4*g - 7. Let n(u) = -5*u**2 - 12*u + 20. Give -4*n(h) - 11*p(h).\nAnswer: -2*h**2 + 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, 4, -28, -2, -4, 1.\nAnswer: -28, -4, -2, 0, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 8*z + 2*z. Solve -z = 4*l - s, 5*l - 3*s = 2*l - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43875464?\nAnswer: 2, 5484433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3268 and 516.\nAnswer: 9804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.092 - 40.908. Let j = 21 + k. Let g = j - -20.026. What is g rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 22*q + 411*q**2 + 452*q**2 + 51 - 862*q**2. Give j(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - 4*-1*sqrt(152)) + ((sqrt(152)*1 - sqrt(152))*2 - sqrt(152)))\/(sqrt(968) - sqrt(968)*-2*2)*-2.\nAnswer: -2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 7:41 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 51. Let s(g) = -g**3 - 5*g**2 - 3*g + 13. Let a be s(x). Suppose -6 = 27*p - a*p. Solve 0*h = 3*h - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1172.00497 + 1172. What is h rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52, -72, -496, -1370, -2844, -5068, -8192?\n\"Answer: -25*a**3 + 51*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/h**(1\/3))*h)\/h**(5\/6))**46)**(-40) assuming h is positive.\nAnswer: h**(-2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0261248 minus -3.8?\nAnswer: 3.8261248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/2*u + 70 - 5\/2*u**2 = 0 for u.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540732 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 135\/240*(-6)\/(-9)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i = 8. Let d = i - -2. Let v be (1 + -2)*(-4)\/d. Does 0.1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) -16 (c) -2\/13 (d) -2\/7 (e) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbbkb. What is prob of picking 1 k and 2 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3 + (4 - 3 - 3)*(2 + 0 + 1))*(4*k**3 + 0*k**3 - 2*k**3).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2495.99995612 + 2496. What is s rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -603 less than -130\/9331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 101636*g**3 - 1291031272*g**2 + 5165446436*g - 3874313526 = 0. Calculate g.\nAnswer: -25411, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 38007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(2\/7))*v)\/(v*v\/v**3*v))\/(v**(-2)\/v)**(-19)*(v*v*v**8\/v)\/v*v**(1\/2)*(v*v\/v**3)\/v**8 assuming v is positive.\nAnswer: v**(-787\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o - 243. Determine f(-35).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 601896 and 854304?\nAnswer: 26483424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 819032\/105 - 40302\/5. Let h = c + 260. Suppose -4*t + 96 - 100 = 0. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3605 - 3043.3. What is l rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 l when three letters picked without replacement from {d: 2, a: 7, i: 2, c: 4, f: 1, l: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.9108 - 31. Let c = l + 0.0335. Round c to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.7 + 13.6. Let z = -0.03 + -1.97. Which is the closest to -0.1? (a) -4 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2022*x - 2*x**2 + 2022*x - 4045*x - 2 in the form l*x**2 + p*x + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 30 = 2*b - 0, -b = -5*n + 15. Suppose -16 = -b*k - 11. Solve t + 2 + k = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = -2*t - 19, -c = -3*t + 4. What is the lowest common multiple of 11 and t\/(-2) - 28\/(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 11:20 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93.6 - 99.61. Let u = q + 0.01. Let l = -2 - u. Sort 0, -3, l.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.53021km in micrometers?\nAnswer: 46530210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let i(c) = 34*c**2. Determine -i(l) + 5*p(l).\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918*g - 6399 + 45957 = -2670 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/19, -5432\/11, -2\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2308*a - 2. Let n be d(2). Suppose -2*w = 4*g - n, g + w - 1156 = -0*w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -57 in decreasing order.\nAnswer: 4, 1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) 474 (c) -1 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 11*i + 6*i - 2*i. Is 12 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -737 + 737.3. What is the second smallest value in x, 2.8, -10, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 256 = 56*x - 61*x, -5*x + 5*n + 235 = 0. What is the remainder when 348 is divided by x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10031 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -4. Let j be (-1 - 4)*(r - -2). Let h = -29866 + 29860. What is the closest to j in h, 5, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 219 = -4*d - o, 2*o - 53 = -d. Let s be (-7 - (-4 - -2))*(-143)\/d. Is 14 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137486?\nAnswer: 2, 68743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 63*j + 5 + 37*j - 490*j + 470*j.\nAnswer: 80*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 1. Suppose -5*f - 18 = -33. Suppose f - 15 = 4*d. Give k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -17*h + 425. Suppose -80*j + h*j = 13990. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/30 + f**4\/24 - f**3\/3 - f**2. Let s(h) be the first derivative of h**4\/4 + 4. Give 3*s(n) + t(n).\nAnswer: -n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061106*w**2 - 171807*w**2 + 171647*w**2.\nAnswer: 1060946*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*o**3 - 59*o + 1.\nAnswer: 540*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(300) + sqrt(300)*1 + 1)*-2)**2 - -4*((sqrt(3) - (sqrt(3)*2*1 - sqrt(3))**2) + -2 + sqrt(300)).\nAnswer: 204*sqrt(3) + 4785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 12 + 2\/7*m**3 + 48\/7*m**2 + 130\/7*m = 0. What is m?\nAnswer: -21, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/9 (b) -0.24 (c) 1\/134 (d) -6 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2256 is divided by 199 + -196 - (-40 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8.2. Let q = 15\/23 - 7\/46. Which is the third smallest value? (a) k (b) q (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*b*t**3 + 30*b*t**2 - 5*b*t - 1926*t**3 - 2*t - 94 wrt t.\nAnswer: -264*b - 11556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 833 and 3213.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3462 + -3.3462. What is the nearest to b in -0.4, 0.29, 2\/5, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 950, 7590, 25520, 60356, 117714, 203210, 322460?\n\"Answer: 936*p**3 + 29*p**2 + p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b**4\/7 + 46*b**3\/7 + 80*b**2\/7 - 72*b\/7 = 0 for b.\nAnswer: -2, 0, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474844658 to the power of 1\/3, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*o + 161 = -210*o - 4*s + 36, -5*s = 0. Put 2, 1, o in ascending order.\nAnswer: 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 + 1\/2*r**3 - 3\/4*r**4 + 1\/20*r**5 - 13\/2*r**2 - 3*r. What is the tens digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69552 divided by 828?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3007, -3012, -3017, -3022, -3027?\nAnswer: -3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**3\/6 - 4*w**2 + 2*w. Let i be j(5). Let z = 1 - i. Solve 4 = z*t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 263 - 1311\/5. Let h(p) = p**3 + 2*p**2 - 2*p + 4. Let m be h(-3). Which is the closest to 1? (a) x (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3981*q + 78*q**5 - 73 - 34 + 3979*q + 5*q**2 wrt q.\nAnswer: 1560*q**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5482*q. Let z(v) = -9015149*v. Give -8223*c(d) - 5*z(d).\nAnswer: -2741*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 2 - 4*y**2 - 2*y**3 + 1 - 2 + 5*y. Let l be 1\/(-2) + (-18)\/4. Give a(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v + 28*v = -28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6806*u**2 - 369. Let n(z) = 37*z**2 - 2. Let s(b) = -2*k(b) + 369*n(b). Let a(y) be the third derivative of -y**4\/12 - 5*y**2. Calculate s(a(d)).\nAnswer: 164*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - -1) + 0 + (-2945 - -2957).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 951 - 1006*j**3 - 4*j - 1868 + 917 - 308*j**3 to p + u*j + m*j**2 + l*j**3 and give l.\nAnswer: -1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243\/4 - 3*r**2 + 7\/2*r**3 - 1\/4*r**4 - 135\/2*r.\nAnswer: -(r - 9)**2*(r + 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-7) + (-80)\/70.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23428561 <= -117142798\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6, 5, 4, 3, 433 in increasing order.\nAnswer: -6, 3, 4, 5, 8, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3 + 125*k**2 + 368*k + 244 = 0. Calculate k.\nAnswer: -122, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-89 - -13)*9673\/(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10 and -59\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*l - 2)*(1 - 1 - 2*l) + 0*l**2 + 2*l**2 - 5*l**2 - 38893 - 2*l**2 + 38893 + 101*l.\nAnswer: -9*l**2 + 101*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99, 191, 285, 381, 479, 579?\n\"Answer: v**2 + 89*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 + -222. What is the closest to 0.1 in -2, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1575 and 109305?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-78.4111.\nAnswer: -39.20555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j - 539. What is n(-50)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1da (base 14) in base 4?\nAnswer: 12010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 e when four letters picked without replacement from eeeeeikeeqkeeek?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 12, 194, 13, 344, 3 in descending order.\nAnswer: 344, 194, 13, 12, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*v - 2490 = 0, 5 = 5*v - 0*v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/5 - 158*g**4 + 31072*g**3\/5 + 8550328*g**2\/5 - 17218656*g\/5 = 0. Calculate g.\nAnswer: -81, 0, 2, 182, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4*400\/(-30). Calculate the highest common divisor of 190 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*y**2 - 130*y**2 + 31*y**2)*(0 + 2 - 1) + (0 - 2*y + 0)*(-3*y - 2*y + 3*y) in the form m*y**2 + u + b*y and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*k + 130*k - 145. Solve u - 18 - 2 = k*r, -2*u - 12 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191214815 to the nearest integer?\nAnswer: 13828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + 4*l + 11, -10 = 2*f + 5*l. Let z = f + -2. What is the second derivative of 0*s + 2*s**2 - 2*s + z*s wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2606\/191 (b) -5 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2289.5 - 2290. Which is the fourth biggest value? (a) z (b) -1\/70 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90828 equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*w**2 - 116127 + w + 567*w**2 + 4925.\nAnswer: -2*w**2 + w - 111202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 11:52 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9158 divided by -19\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-55) - 24\/5. Is z < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*-9916585.\nAnswer: 347080475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -175980.\nAnswer: -175976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1889657 and 5519591?\nAnswer: 7469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (4 + -51))*2. Let r = -42 + c. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + q + 14, 0 = -p + 4*q + 21. Let u be (p\/(-2))\/((-14)\/(-4)). Let c = -27\/28 - u. Sort -4, 1, c in descending order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 2 c when four letters picked without replacement from kzcuccuuzxnc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*k = 23533 - 15925 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 2*n**6\/105 - n**4\/21 + 7*n. Determine y, given that j(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 2922\/11, 1\/2, 5, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1125 and 21.\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 4571575?\nAnswer: -4571575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + 3 - (93 - (5 + (10 - 19))).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (59 - 74 - -42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 greater than or equal to 354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i - 4*d, -20*i + 4 = -22*i + 4*d. Solve 0 = -k + 2 - i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 - 2*j. Suppose 14 = 3*z - 5*z. Let d(s) = -2*s**3 + s. What is z*d(h) - 3*a(h)?\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 - 15*h + 16. Let m be 756\/96 + (-1)\/(-8). Is v(m) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4*6\/(-5). Suppose -4*f + 7 = -y*f - 4*h, -14 = 2*f - h. Which is greater: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 601*g**2 + 20. Let k(t) = -107578*t**2 - 3576. Give 5*k(z) + 894*y(z).\nAnswer: -596*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-32)\/1500) + (-835)\/(-1336)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyly when four letters picked without replacement from flallfaaiakaylayll?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 33*j - 17. What is the tens digit of v(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -978*l**2. Let j(i) = 10*i**2 - 7*i + 59. Give j(a(w)).\nAnswer: 9564840*w**4 + 6846*w**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 10866.588.\nAnswer: 10866.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240992 and 187.\nAnswer: 2650912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1491, -5, 21\/4, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3 - 300*t**2 + 30000*t - 1000000 = 0.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 6*u**2 + 5*u + 3. Let g be q(5). Suppose -g*l + 2*l = -5. What is the second derivative of -147*b**4 + 147*b**4 + 5*b**l + 11*b wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2130*r**2 - 417*r**2 - 341*r**2 - 510*r**2 - 572*r**2 in the form j + f*r + d*r**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - r - 2. Suppose 0 = 2*n - 2*o - 8, 14*o = -n + 11*o + 20. What is the least common multiple of c(2) and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -30*a**2 - 15*a + 15. Calculate w(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f**2 + 2*f**4 + 9*f**2 + (19*f**4 - 26 + 26)*(39 - 100 - 119) in the form o*f**4 + s*f**3 + w*f + q + x*f**2 and give o.\nAnswer: -3418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*p - 23587904 = -127*p. Let s = 11845756 - p. Round s to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 3*f)*(3*f**2 + 2*f**4 - 3*f**2) + f**5 - 5*f**2 - 3 + 1822*f**4 - 1820*f**4 + 5.\nAnswer: 3*f**5 + 2*f**4 - 5*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 283605739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y**5\/11 + 12*y**4\/11 - 84*y**3\/11 - 184*y**2\/11 - 138*y\/11 - 36\/11 = 0. What is y?\nAnswer: -1, -6\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1418*n**3 + n + 41348 + n - 42446 - 2*n wrt n.\nAnswer: -4254*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - (-144)\/81. Let p = 0.1 + -0.2. What is the second biggest value in 5, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 11*r + 3*r + 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + n = 2*n - r + 4, -28*n + 4*r - 5*r + 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77 and 5.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 2416723932390.\nAnswer: 2416723932391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257061431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0455 times -0.4\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 74*p**2 - 9*p + 10. Calculate z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 10. Let j be f(4). What is the units digit of j\/(1 - (-69)\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 615 + 615.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from aawg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18.63 and -800.\nAnswer: -818.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 - 13*d**3 - 6*d**3 + 31*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51850883 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.4. Let p = 0.2 + x. Let a = -10.8 - -11. What is the second biggest value in -2\/19, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.7 - -24.6. Let w = 1.1 + b. Let g = 45 + -319\/7. What is the second biggest value in g, w, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 10) in base 11?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - q**2 - 2. Let l be r(-2). Suppose -l*k = -3*k. Find the third derivative of k*p**6 - 5*p**6 - 3*p**6 - p**2 + 4*p**6 wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -218 - 176. Let h = -143 - d. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761249 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3*h**3 + 14*g**3*h**2 + g**3 + 748466*h**6 - 162*h**2 - 116 wrt h.\nAnswer: 24*g**3 + 89815920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -427*l**3 - l - 2. Let o be z(-1). Let p = o - 272. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(-2*sqrt(19) - sqrt(19)) + sqrt(19))*-4 - (-3 + -5*-1*sqrt(19))*-5.\nAnswer: -13 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(234) + sqrt(234))*5 - sqrt(234))\/((-3*sqrt(72))\/sqrt(12)))\/((sqrt(60)\/(sqrt(4)*-2))\/sqrt(5)*-6).\nAnswer: 11*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -771.03 plus 37?\nAnswer: -734.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/645*(-3)\/(-36)*18\/2?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153060130 to the power of 1\/2, to the nearest integer?\nAnswer: 46401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14*3\/6 - 4. Suppose -3*r + q = -7, s*r = -4*q - 7 - 6. Solve -2*w - 9 = r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 186. What is the highest common factor of z and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 6620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.385275kg in grams?\nAnswer: 6385.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -156213 greater than -156209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {y: 1, z: 6, s: 4, l: 4, n: 3, x: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*r - 0*r. Let s(u) = u**3 - 7*u**2 - 3*u + 24. Let w be s(r). Is 3694\/(6\/w - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37731.741 + 37714. Let p = 0.259 - y. What is the second smallest value in 3\/2, -1, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 10*y - 48 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -15720394500525.\nAnswer: 15720394500524.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, x: 3}. What is prob of sequence kk?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 182, 306, 462, 656, 894, 1182, 1526?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -93*m**3 - 6*m**2 + 3*m - 2. Let g(j) = 279*j**3 + 21*j**2 - 11*j + 8. Give 2*g(n) + 7*t(n).\nAnswer: -93*n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 558, 1856, 4380, 8538, 14738, 23388?\nAnswer: 34896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + a + 470. Calculate the remainder when a is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(3) + -1 + sqrt(3) - (sqrt(3) + (-2 + sqrt(147))**2 + sqrt(3)).\nAnswer: -147 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 7*t**2 + 42*t - 11. Determine g(6).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 + 2*j - 5. Let m(h) = h**3 - 9*h**2 - 9*h - 5. Let n be m(10). Let z be w(n). Suppose v - z = 1. Solve 0*o = -2*o + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2*x**3 - 3*x**3)*(3*x + 8*x + 7*x) + (-4*x + 8*x + 4*x)*(0*x**3 + x**3 - 5*x**3).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -75?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*(m**15\/m)\/m)\/m*m))\/m**(-9\/4))**(-1\/5))**(17\/4) assuming m is positive.\nAnswer: m**(731\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 22*i = -1456. Suppose 4*p + i = 152. Solve j = 5*w - 10, 0 = -3*j + w - 4 - p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517162 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*f**3*s**2 - 42*a*f**3*s + 14*a*f**2*s - a*s**2 - 2*a - 2*f*s wrt f?\nAnswer: 12*a*s**2 - 252*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/7075536 and 163\/1183200.\nAnswer: 353776800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15428, -31124, -46822, -62522, -78224, -93928?\nAnswer: -109634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1144120 + -3?\nAnswer: -1144123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6317122.2 to the nearest 1000.\nAnswer: 6317000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 287290.9 millilitres in litres?\nAnswer: 287.2909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 12*p**2 + 2*p - 16. What is the smallest common multiple of 10 and l(12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3. Let i(d) = 7*d + 21. Let j(p) = 6*i(p) + 42*r(p). Let w(s) = -12*s. Calculate w(j(y)).\nAnswer: -504*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2548270873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*r + 876*r - 435*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 6*s. Let g = 11 + s. Calculate the lowest common multiple of g and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5*v - 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/25002 and 59\/8334.\nAnswer: 25002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/13 (b) -0.2 (c) -5 (d) -28 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 divided by -4266?\nAnswer: -152\/2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*q = -421*q + g - 9, 4*g = q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 9*k**4\/8 + 53313*k**3\/8 - 17781*k**2\/8 - 53313*k\/8 + 4443\/2 = 0.\nAnswer: -5924, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 29492 = 170048. What is h rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/5 + 40 + -28. Is l greater than or equal to -2\/3493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 - (-7)\/((-56)\/(-41))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5173 - -5190. What is the remainder when 39 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:04 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j + 768. Calculate the common denominator of 582\/j*(-1 + -1) and (13 + 1)*(-5)\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from xexttqxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*c = 205*c + 13053 + 13995. What is the greatest common factor of 294 and c?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*f + 44 = 6*x - 2*x + 63*f, 0 = -x - 3*f - 6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -0.55, 0, 3\/2, -235 in descending order.\nAnswer: 90, 3\/2, 0, -0.55, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211851?\nAnswer: 3, 83, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4013309 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 35 = -95. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, 26, -29\/8, -0.1, 1 in increasing order.\nAnswer: -5, -29\/8, -0.1, 1\/3, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 7*x - x**3 - 2*x**2 + 5 + 5*x**2. Suppose -2*k - 2*c = 2*c - 14, 3*k + 2*c - 21 = 0. Let d be j(k). Solve -2*h - d = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 7 + 3*j**2 + 5*j - j**2. Suppose -p - 8 = -5*p. Calculate the remainder when p is divided by a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16385888.5 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 334, 658, 986, 1318, 1654, 1994, 2338?\n\"Answer: 2*x**2 + 318*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 3*m + 3. Let r(o) = o**2 - 2*o - 2. Let w be (1 + -1 + 1)\/(141\/282). What is w*s(b) + 3*r(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -12 in increasing order.\nAnswer: -12, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a - 136. Calculate h(10).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5127*k - 2153*k - 789*k - 1362*k to the form j + z*k and give z.\nAnswer: -9431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*m = 4*x - 12, 5*x - 6 = -2*m. Suppose -x*f + 3*f - 42 = 5*t, -t = -1. Suppose -f = -4*g - 3*d, 0*g + 4*d = -g + 28. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12507040 and 208.\nAnswer: 12507040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -34. Let m = -1 - w. Calculate the greatest common factor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292268973 to the nearest integer?\nAnswer: 17096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5019778 is divided by 1066.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.22 >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7 - -4.7. Let f = -7.62 - -11.62. Which is the second biggest value? (a) f (b) -4 (c) r (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4896 and 144.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*n = u - 8, 0 = -3*n + 6. Solve 3*x + q = 6, 2*x - 2*q + 3*q - 4 = u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6, -5, -30, -75, -146?\n\"Answer: -l**3 - l**2 - l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 4*a**2 + 3*a + 4. Let j be i(3). Let k(w) = -3*w + 5. Determine k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3934483 to three decimal places.\nAnswer: 0.393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -14*c - 5 - 8*c + 19*c + 12*c - 10*c. Let w(i) = 1. What is b(r) - 5*w(r)?\nAnswer: -r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 47, 3, -1.\nAnswer: -153, -1, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20224)\/1120 - -18)*-7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5 - 1 - 2)*(10*m - 3*m - 3*m) + 3*m - 3*m - m**2.\nAnswer: -13*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2649 is divided by 785.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 + 2408 + 8*p - 2416 - p**2 + 3*p**4 + p**3 - 5*p in the form k*p**2 + t*p + j*p**3 + m*p**4 + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1330\/165 - 73760\/2640?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13218196 is divided by 506?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 137. Let f = 0.2 - 0.2. What is the nearest to f in a, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i - 1. Let w be z(-1). Let m = -1 + w. What is the smallest common multiple of m and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:50 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-996)\/664*28\/10?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21*q - 7. Let l = 19 + -12. Let a(t) be the third derivative of 11*t**4\/24 + 2*t**3\/3 + 1407*t**2. Calculate l*a(i) + 4*n(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49184.88cm in kilometers?\nAnswer: 0.4918488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 171, 146, 121, 96, 71?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 24 = t, t + 4 - 12 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 3*a**2 - a**3 + 73*a + 5*a**3 - 40 + a**2 + 66 as h + d*a**3 + r*a + i*a**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/881981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 2650364?\nAnswer: -2650365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7791\/7049 + (-2)\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1088 (b) -4 (c) -137 (d) -2\/5 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1044639 divided by -2337\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o - 53*o - 3*u = 564, -1700 = -3*o + 5*u. Let n be ((-2)\/(-19) + (-22)\/o)*-2. Which is the second smallest value? (a) -0.4 (b) n (c) -1.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -51*v + 21*v - 6*v**2 + 3*v**2 + 30*v. Let u(q) = 295*q**2. What is r(u(a))?\nAnswer: -261075*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 18228.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.37 + 36.37. Which is the smallest value? (a) -2 (b) u (c) 7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -58. Suppose -a*b - 15 = -25. Let i(g) = -2 + 5*g - 16*g**3 + g**b + 9*g**3 + 8*g**3 - 3*g. Determine i(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2*u + 6013250*n**2 + n*u + 410076*u wrt u.\nAnswer: 2*n**2 + n + 410076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022 (base 3) in base 4?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by -2\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 27 = 5*y, 5*y + 30 = -2*h + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlmlslllmjxxllj. Give prob of sequence ln.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 138*y - 1. Let o(i) = 2*i**2 + 92*i. What is m(o(x))?\nAnswer: 276*x**2 + 12696*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045881 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 498 - 466 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f*f**3)**42\/((f*(f**0*f)\/f)\/(f**(-1)*f))**(1\/11) assuming f is positive.\nAnswer: f**(-463\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2762973 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27876679 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 178 - 158. Let b = f + -60. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 5 + -3)\/(-1). Let n be (b - (-34)\/(-2))*1. Calculate the least common multiple of 24 and (5\/2)\/(n\/(-156)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 12*f + 73. Let q be z(-9). Determine m so that q + 440*m**2 - 881*m**2 + 18*m + 440*m**2 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/3 - -1. Let a = 89 + -625\/7. Is x smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(700) + -3)*-2.\nAnswer: -20*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 + y**2 + 2*y**2)*(-52 + 52 + 21*y) + (-3*y**3 + 3*y**3 - 3*y**3)*(-2 - 1 + 1) as z + a*y + w*y**3 + b*y**2 and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -13. Let l(u) = 12*u - 3. What is the tens digit of l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.631*-5104\nAnswer: 3220.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34972 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -22*h + 29*h. Suppose 2*f + 5*j = h, 4*j - j = 5*f - 38. What is the remainder when 66 is divided by 3*f - (-7 - (5 - 10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 14*a**2 - 13*a - 18. Let w be t(15). Solve -2*r = r + n - 16, 0 = -r - 2*n + w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1908 + -1807 - (-1 - 24 - -1) - (-1 + -7).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102010 (base 3) in base 7?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53 (b) 160166 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 248\/60 + (-2)\/15. Suppose 3*x + n - 12 = 0, -q*x + n + 9 = -0*n. Solve 0 = -2*y - 5*a - 35, -x = -y + 5*a + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 46 - 15 - -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 + 5*r**2 - 2 + 8 + r**5 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 8 = -13*n. Let r = -137\/1144 - 3\/88. What is the smallest value in r, 3, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/15*0)\/3. Which is the nearest to -3? (a) 0.5 (b) -0.7 (c) -0.1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 117*u - 1136. What is x(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225132?\nAnswer: 2, 3, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 + -242. Sort -0.5, -1\/3, 1\/5, a in increasing order.\nAnswer: -0.5, -1\/3, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000303415761 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 1. Let n(l) = 13. Let a(j) = -13*c(j) - n(j). Let z(v) be the first derivative of 0*v**2 + 1\/3*v**3 + 0*v + 10. What is z(a(g))?\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*k**2 + 1)*(5*k + 2 - 2) - 11 + 12 - k**3 + 0*k**3 + 9*k to the form y + j*k**3 + l*k**2 + v*k and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 2:09 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 7. Let y be z(-7). Let r = y - -21. Solve 3 = 4*t + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(21)\/(-5*sqrt(252)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 5*v**2 + v - 9. Let s be o(5). Let p = 2.2 - 2. What is the nearest to p in s, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/4 + 5*r**2\/2 - 7*r\/4 - 9\/2 = 0.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.425 and -0.1482.\nAnswer: -0.062985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**6\/240 + 17*h**5\/80 + h**4 - 29*h**3\/3 + 31. Let t(m) be the third derivative of o(m). Solve t(f) = 0 for f.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.106, -0.3, -506 in ascending order.\nAnswer: -506, -0.4, -0.3, -0.106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00329024353 to seven decimal places.\nAnswer: 0.0032902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/8 (b) 2 (c) -4 (d) 3 (e) -277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u. Let g(b) = -b**2 + 30. Determine g(n(r)).\nAnswer: -16*r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/10)\/((-18)\/(-45)). Suppose -t*j + 8 = 2*j. Suppose -1433 = -5*c - j*x, -c - 3*c - 4*x = -1144. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 607 - 131. Suppose 16*j + i = 3*f + 12*j, 3*j + 38 = 5*f. Solve 20 = q + 2*h - 5*h, h = q - f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13348249 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/18 + 1684201\/711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5690 - 5690. Put -0.3, 3\/4, v, 0.2, 0.7 in descending order.\nAnswer: 3\/4, 0.7, 0.2, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*c + 23. Find the common denominator of 16 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88487.78 decades to millennia.\nAnswer: 884.8778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128 - 75. Suppose -4*v + 19 + a = 0. Calculate the remainder when 0 - 2\/(6\/(-159)) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 - 3*i**4 + 343*i?\nAnswer: -40*i**3 - 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4049*-12.198\nAnswer: -49389.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.4 + -61.1. Let y = -42 - h. Which is greater: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 7*c - 2. Let b be n(5). Let q(i) = -i**2 - 16*i - 17. List the prime factors of q(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*r + 18, -5*m - 18 = 6*r - 8*r. Suppose -6*s = -4*s + 24. What is the lowest common multiple of r and 8\/s - 65\/(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from xsdoosodosxoxsoxss.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110101011 - -1100100?\nAnswer: 100000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, x: 6}. Give prob of picking 2 x.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54, -58, -72, -102, -154, -234, -348, -502?\n\"Answer: -y**3 + y**2 - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 543 or 10314\/19?\nAnswer: 10314\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4758 = -4740. Solve a = n + p, -n - 6*a = -2*a - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3055 and 7332?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*i + 3*i. Suppose -i*t + 7*v + 16 = 3*v, 0 = -5*t - 5*v + 25. Solve -3 + 5 - r**3 - t*r**2 - 2*r**3 + r = 0 for r.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 666 = -o. Let c = -163 + o. List the prime factors of (24\/(-10))\/(-1 + 166\/c).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*b - 10. Is (10\/b + -2)*236 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 8. Let j be i(5). Let d be -2 + (-98)\/(-18) + j. What is the nearest to -0.8 in d, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -861432 divided by 107679.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6304, 4, -10767 in descending order.\nAnswer: 6304, 4, -10767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5044476 rounded to two decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 8885 = -2669. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573612637?\nAnswer: 13, 44124049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/((1\/6)\/((-5)\/(-15))). Let m = -10 + l. Factor z**3 + m*z - 24*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 7. Let l be 0 + (y - 0)\/(-3). What is the least common multiple of (-12)\/l*(-15)\/6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*x**4 + 19*x**3 - 2*x**2 + 15170*x.\nAnswer: 480*x**2 + 114*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809198 is divided by 398?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (6 - (-6 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67*m**3 + 86*m - 86*m - 2 + (-3*m**2 + 2*m**2 + 0*m**2)*(3*m + 4 - 4).\nAnswer: 64*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67145.97426 + 16914.274225. Let n = o - -50233. Let w = 1.3 - n. What is w rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27658, -55321, -82982, -110641, -138298?\n\"Answer: t**2 - 27666*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/2*(-2 - 0). Suppose -4*c - q = 4*l + 37, -5*c - 4*l - 83 = 0. Let i = 25 + c. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16680 and 92112520.\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/13 (b) -3 (c) 5 (d) 2\/7 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 9:48 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let j(z) = z**2 + 352*z + 52. Calculate i(j(c)).\nAnswer: 2*c**2 + 704*c + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*n = -128*c + 129*c - 290, -10 = -4*n + 2*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + o**3\/6 - 2*o**2 + 39*o. Give b(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1313760 divided by -680.\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 8*g**2 - 17*g + 10. Let j(z) = -z**3 - z**2 - 2. What is -5*j(b) - y(b)?\nAnswer: 6*b**3 - 3*b**2 + 17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/167 or -260006?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 878634 - 419814. Round i to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + q + 29 = 12*d, 0 = 5*d + 4*q - 9. Suppose d*t + 157 - 227 = 0. Solve 6*z - 7*z + 7 = 5*c, 4*z + t = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*(i*i\/i**1*i)\/i*i))\/i**3)\/(i**6\/((i*i**(-3\/2))\/i)) assuming i is positive.\nAnswer: i**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1272027429 + -73.\nAnswer: -1272027502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012647393 rounded to four dps?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508103 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.150297ml to litres.\nAnswer: 0.000150297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 0.042 (c) 2\/3 (d) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1208, 1198, 1186, 1172?\n\"Answer: -k**2 - 7*k + 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8 and ((-6)\/(-20))\/(1\/(-12)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(6)\/(sqrt(2)*-1) + sqrt(3) - sqrt(3)) - sqrt(12)\/(sqrt(256) + (sqrt(256) - (sqrt(256) - 1*sqrt(256)) - sqrt(256))))**2.\nAnswer: 6627\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 11*k - 12*k - 12*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1187072232 by -9313.\nAnswer: 127464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + 65. What are the prime factors of d\/15*20\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1046316?\nAnswer: 2092632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 80. Calculate the remainder when 140 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.102 + 4.102. Let d = 0.28 - -0.1. Let n = d - -0.02. What is the second smallest value in n, b, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)*n**(-8))\/((n\/(n\/(((n\/(n\/n**(2\/3)))\/n*n)\/n)))\/n**(-1\/6)) assuming n is positive.\nAnswer: n**(-133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + -72. Suppose -6*w - 30 = -u*w. What is the units digit of (-5)\/w*-175 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 529*d + 40 = 531*d, 0 = -d for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4660, 9374, 14018, 18556, 22952, 27170, 31174?\n\"Answer: -6*t**3 + t**2 + 4753*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3 - 0) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/60 + h**4\/6 + h**3\/3 + h**2 + h. Let p(u) be the first derivative of j(u). Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*d**2 - 2984 + 2984.\nAnswer: 354*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(2 + sqrt(1008) + sqrt(1008)) + 6*(sqrt(1008) + 1 + sqrt(1008)))**2 + 0.\nAnswer: 33792*sqrt(7) + 1952512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14*((-573)\/(-764))\/((-6)\/196)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 7*y**2 + 6*y. Let b be w(6). Solve b*d - 2*d + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1342 - -1341.9999922. What is v rounded to 7 dps?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(325) + 3)**2*-6.\nAnswer: 540*sqrt(13) + 6012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by ((-84)\/48)\/(((-20)\/192)\/5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4615593 and 0.2?\nAnswer: -923118.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358299 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*3 - sqrt(10))\/sqrt(5) + ((sqrt(4)\/sqrt(200))**2 - sqrt(2)) - (sqrt(12) + sqrt(132)\/sqrt(176) - sqrt(12))\/((2*sqrt(12))\/sqrt(2) - sqrt(6)).\nAnswer: 1\/50 + 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 3402 = 101*g + 119*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.569, -2, 4, -5, -1\/3, -4 in descending order.\nAnswer: 4, 0.569, -1\/3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 23\/5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 492 divided by 3\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*a - 9 = a + 4 - 17, 0 = -3*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7651*j**5 + j**2 + 4644*j wrt j?\nAnswer: -459060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 35*k**2 + k - 10. Let u(s) = s**2 + 2. Calculate -o(m) - 5*u(m).\nAnswer: -40*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -1895, -6453, -15331, -29969, -51807, -82285?\nAnswer: -122843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 623 + -36. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 96 - 927 = 3*j, -4*r - 5*j = -3205. What is the greatest common factor of r and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/60 - g**5\/10 - g**4\/4 - g**3\/3 - 7*g**2. Determine j, given that y(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 14*b**4\/9 - 2090*b**3\/3 + 36304*b**2\/9 - 8840*b\/3 = 0.\nAnswer: 0, 6\/7, 5, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 0*n + 3*n)*(1 - 15 - 25)*(-5 - 2*n + 5)*(4 - 2 - 3) to w*n + t + v*n**2 and give v.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 = -5*z + 2, -4*p + 4*z = 0. Suppose 0 - 10 = p*n. Let l(m) = -2*m + 3. What is the tens digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((4\/1)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 94*s + 423. Let a be t(42). Suppose 0 = z - 6 + 4. Solve -4*o - 3*q + 9 = z*q, 0 = o - a*q + 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-14 - -2) - 17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -167, -0.2, -2\/7, -22\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -109*c + 1213. Calculate q(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41b (base 13) to base 3\nAnswer: 221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2139.08*842\nAnswer: 1801105.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 887403469 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33502433?\nAnswer: 397, 84389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16203727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-167 + -2)*9*(-5)\/15. Let y = j + -510. Let v(p) = 6*p + 1. Calculate v(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 + 3*b + 4. Let c be j(-6). Let o = 28 - c. Suppose -3*q - 3*d = -2*q + o, 0 = -q - 2*d - 2. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - (19 + -19). What is i in d*i**2 + 1\/2*i + 0 - 1\/2*i**3 - 1\/2*i**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, -463\/4, 2 in increasing order.\nAnswer: -463\/4, -3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*l + 8*l - 28*l - 2 - 23*l in the form a*l + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 115936.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + -8 + 0 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6 + 5. Are p and 1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 - 20)*(-26*r**4 + 53*r**4 + 373*r**5 - 27*r**4).\nAnswer: -11190*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4905140 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.19023 + 24.858. What is i rounded to three dps?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 1. Let z(m) = m**2 - 14*m + 34. Let y be z(3). Let t(j) be the third derivative of -j**6\/120 + j**2. Give y*q(v) - 2*t(v).\nAnswer: 2*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -896\/3 + 2109\/7. What is the common denominator of -71\/18 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 442*a. Let z(c) = 21*c. Determine s(z(q)).\nAnswer: 9282*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, i: 4, y: 3, n: 3}. Give prob of picking 2 y and 2 n.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.2 + -26.22347. Let i = -0.022 - d. What is i rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 + 10800*f**2 + 283612*f - 294408 = 0. What is f?\nAnswer: -27, 1, 2726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 92 = -9*r - 19*r. Which is the nearest to -1\/3? (a) r (b) 4 (c) -0.3 (d) -18\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 637, 1283, 1931, 2581?\n\"Answer: k**2 + 643*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -10\/7, -2\/9, -2\/3 in increasing order.\nAnswer: -10\/7, -2\/3, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-4)\/10*(-1)\/((-4)\/(-20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(5 - 5 - q)*(0 - 2 + 0) - 21*q + 2*q + 9*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 441740.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 3*h**2 + 7*h - 5. Let u be a(-5). Is u less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01166 - 6.01166. Let u = 30.3 + -32. Let h = u - -1.6. Which is the third biggest value? (a) -4 (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 94?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 12*j + 9. What is o(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(612)*-1 + 3 + 2.\nAnswer: -6*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/13)*c)**(-34)\/(c*c\/c**(16\/5))**(-11\/3) assuming c is positive.\nAnswer: c**(-2666\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 40*o - 32. Is i(4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 2. Let i(q) = q. Let u(k) = -k - 3. Let x = 2 + -4. Let v(s) = x*i(s) + u(s). Determine 8*l(z) - 5*v(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 228*v + 654*v + 1 to the form r*v + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*u**3 + 367*u**3 - 731*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2 + (-1 + 1 - 1)*(3 - 4 - 1) - 7904 - 6432 + 16718)*(-3 + 2*r + 3) as i + m*r and give m.\nAnswer: 4770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 1. Suppose 4*g = 5*r - 20, -6*r = -r - 3*g - p. Solve -2*q = -r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*d + 2*r - 1212, -4*r + 1616 = 4*d. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0708 - -0.5.\nAnswer: 0.4292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.82 + -0.6. Round u to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - 8.1. Let t = 12.7 - -1.3. Let z = t + o. Put z, -0.4, -5 in decreasing order.\nAnswer: z, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 4*q + 220, 4*u + 2*q - 220 = 0. Let d be (u\/22)\/((-10)\/(-8)). Suppose 4*m = d*m + 54. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -33265*o - 133073. Give u(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + y - y**2)*(-17661*y - 20 + 12561*y + 18) in the form f + b*y + k*y**2 + x*y**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147586.\nAnswer: 2, 109, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 438088 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65569*m + 66006*m - 131586*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -3, -1\/18, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/115? (a) 1\/6 (b) -7 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*r - 39*r + 76. Which is the second biggest value? (a) 4 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534*q - 559412 = -141290. Calculate the smallest common multiple of 174 and q.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*x - 6, -x - 4*x = p - 10. Suppose -5*l + p*a = -2*a - 55, 5*a + 70 = 5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Let d be (-1318)\/1986 + (-4)\/(-6). Let i = d - 1000\/2317. Sort -0.5, j, i in increasing order.\nAnswer: j, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-310)\/307 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 1448*g**3 + 2820*g**2 + 21600*g.\nAnswer: 4*g*(g - 360)*(g - 5)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 19963206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 - 5*z**4 + 10*z**2 - z - 3*z**3 + 1449 - 1450 as t*z + u*z**3 + b*z**4 + l*z**2 + f and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44576, 89027, 133478, 177929, 222380?\nAnswer: 266831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2422, -2350, -2278, -2206, -2134?\n\"Answer: 72*u - 2494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 27*l + 391. What is the lowest common multiple of j(-13) and 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/1417, 1586 in increasing order.\nAnswer: -2\/1417, 3\/4, 1586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 556*x**2 + 111*x - 61703. What is f(556)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 21 = 0. Suppose 0 = 5*b + o - 31 - p, -4*o - 23 = -b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = k + 5*n + 14, -k - 12 = 2*n. Let i be ((-9)\/16)\/(12\/k). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50179769347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6490 and 13511590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 33, 56, 83, 114, 149?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3837, -5, -3.\nAnswer: -3837, -5, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57300 divided by 1146.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1046*k**2 + 8383*k - 122. Give d(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + z + 9 = 16, z + 1 = 0. Let d be ((-21)\/(-2))\/(117\/156). Suppose 3*y - 11 + d = 0. Sort -3, i, y in ascending order.\nAnswer: -3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -8 - 1. Let d be (-24)\/(-3)*(2 + k). Let m = d + 15. Solve 0 = o + 5*i + 2, m*o - 2*o + 2*i - 13 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119.39 + -32.41. Round u to the nearest integer.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 15*v**3 - 7*v**2 + v - 6. Let t(n) = -44*n**3 + 20*n**2 - 2*n + 18. Let o(c) = 17*m(c) + 6*t(c). Suppose 59 = -3*u + 53. Is o(u) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2313561 + 4627127 + 4*b - 2313566.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -184398, -369181, -553964, -738747?\n\"Answer: -184783*j + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 10*g = 9*g - 19, 3*p + 5*g = -0*g + 341 - 364 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let u(d) = -d. Let v(f) = -5*u(f) + 6*x(f). Let j(p) = p. Let r(g) = 7*g. Let z(q) = 2*j(q) - r(q). Determine v(z(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 92*n**2 + 184*n + 355. Determine h(94).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 - 224. Solve 6*f - 25 = -o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/15131 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((3 - (5 - -5)) + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 20. Let y = s - -18. Suppose -5*u - 35 = -y*i - 0*u, -5*u - 20 = 0. Solve 2*z - i*z - 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162.4 - 148. Let q = j + -15. Let k = 1 + q. Which is the third biggest value? (a) -3\/7 (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 891.9246 millennia?\nAnswer: 891924.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 22 = -2*z + 4*d, 2*z = 5*d - 8. Let t(f) = 2*f - 6. Let p be t(z). Solve -4*q = 3*a + 12, 2*a = -a - 2*q - p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 1. Let s(u) = -u + 1. Let w(r) = i(r) + 4*s(r). Let j be w(1). Solve 4*v + 5*h + 35 = 0, 10 = -j*v - h - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1 + 6 + -6). Find the third derivative of -3943*z**3 - k*z**5 - 55*z**2 - 54*z**2 + 3943*z**3 + 28*z**4 wrt z.\nAnswer: -120*z**2 + 672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 930, 6897, 23082, 54591, 106530, 184005, 292122?\n\"Answer: 851*g**3 + 3*g**2 + g + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cobc when four letters picked without replacement from aoyagabgabcgcabac?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3234.681 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 44576*x**2 - 89146*x - 44572.\nAnswer: -2*(x + 1)**2*(x + 22286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 4656\/(-32)*(-8)\/3. Suppose -6*z - 115 = -b. What is the remainder when 321 is divided by z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + -12243?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 623d - 531?\nAnswer: 5d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 126\/3*44\/(-33)*360\/480\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45751149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330218732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 3*w**2 - 5*w**2)*(3 - 1 - 5)*(-w**3 + 5*w - 5*w) + 4*w**4 + 3*w**5 - 4*w**4 + 5*w**5 + w**5 - 4*w**5.\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221212333 - -3?\nAnswer: -12221212330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-5))\/((-2)\/6). Let v = -4.2487 - 0.0113. Let h = v - 0.74. Which is the nearest to 1? (a) u (b) h (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42\/299 + 11651\/4186. Find the common denominator of 25\/14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2638625782 + -4?\nAnswer: 2638625777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5419818?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - d**2 + 9*d - 16. List the prime factors of k(14).\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*h + 3 = -2*h, -7 = 2*a + h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000098300029 rounded to 7 decimal places?\nAnswer: -0.0000983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 66 = -t, 3*t - 4*g = -0*g + 184. Let h = t - 574\/9. Factor 0 + h*b**2 + 0*b + 1\/9*b**3.\nAnswer: b**2*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -27*k + 825. Determine l(30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r)**(-40))**(-1\/29)*((((r\/(r*r\/(r\/(r\/r**1))))\/r)\/r)\/(r*r*r**(-4)\/r))\/(r**(-3)\/(r\/(r\/(r**(-3)\/r)*r))) assuming r is positive.\nAnswer: r**(51\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 454431 divided by -2?\nAnswer: -454431\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116 + -356.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26158*-487.\nAnswer: 12738946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4280, -4557, -4834, -5111, -5388, -5665?\nAnswer: -5942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90592 = -52*g + 42528. Does 43 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 2, -2\/5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2 - 3*n**2 + 4 - n**2 - 7*n + 0. Let g(i) = -11*i**2 + 20*i - 13. Let h(w) = -2*g(w) - 7*p(w). What is the second derivative of h(z) wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*k + 4*z + 17, -5*z = 5. Let d(o) = -5*o - 13. Calculate the smallest common multiple of d(k) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920793 is divided by 1558?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15329 - -15329. Which is the closest to 1? (a) l (b) -19 (c) -3\/2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 g, and 1 c when four letters picked without replacement from {g: 4, d: 2, h: 8, c: 1}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/3*d**2 - 1\/3*d + 0 + 4*d**3.\nAnswer: d*(d - 1)*(12*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 280 - 128. Suppose 5*b = f + r, -b + 6*b + f = 148. What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209719 + 225427 = -357*y for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 - 2*y - 7. What is f(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 6 = -2*t, -t + 2*a - 790 + 778 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63\/19, -5, 4 in descending order.\nAnswer: 4, -63\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -578*i**2 + 2*i + 695 wrt i.\nAnswer: -1156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g - 5*g. Is 2\/257 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37232 (base 9) in base 4?\nAnswer: -12012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48170400 and 56198800.\nAnswer: 337192800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/3 + 4)\/(5\/(-45)). Let b(f) be the first derivative of -1\/2*f**2 - 7*f - z. Determine b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/210048 and -151\/4320.\nAnswer: 9452160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 7. Suppose -48 = -4*q - 5*s, -7*s + 12 = q - 12*s. Let p be b(q). Let u be 2\/(1 + (-4)\/12). Solve 0 = -p*a - n - u*n - 16, -a - 2*n = 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 5. Let g(h) = -h**2 + h - 1. Let m(d) = 12*d**2 - 8*d + 14. Suppose -2 = -5*k + 3. Let z(u) = k*m(u) + 8*g(u). What is 6*j(r) - 5*z(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4 + 9784*i - 13228 wrt i?\nAnswer: -8*i**3 + 9784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 7*z + 19. Is d(-11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13781706 and 6780.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/29548441 or -1?\nAnswer: -5\/29548441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16146?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -29. Sort 1, u, -3, -2 in descending order.\nAnswer: u, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6203 divided by 6.\nAnswer: 6203\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*17\/((-136)\/(-32)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207971 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31961 by -1768.\nAnswer: 31961\/1768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = k + 6*k. What is the lowest common multiple of 28 - (k - (-16)\/4) and 9?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrlrrrrrrlrl?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2067, -3, 2, -5, 1 in decreasing order.\nAnswer: 2067, 5, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -484 + 1377 + 145*a**2 - 145*a**2 + 71*a**4 wrt a?\nAnswer: 284*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2281 is divided by 228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 33 - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.6095? (a) -0.2 (b) -1\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18636247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12015 (base 8) to base 12.\nAnswer: -2b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 921354059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 5. Let o(d) = 9*d + 11. Let s(q) = -7*g(q) + 3*o(q). What is the units digit of s(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 3*o = 39. Suppose -3*l + 2*f + 5 = 0, -5*f = -3*l + 2 - o. Calculate the smallest common multiple of l and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m*m*(((m*(m**(-2\/7)\/m)\/m)\/m)\/m)\/m)\/(m*m*((m\/(m\/m**(-1)))\/m)\/m*m*m**(-4)) assuming m is positive.\nAnswer: m**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**4*r*r*r\/((r*(r\/((r*(r\/r**(3\/19))\/r)\/r)*r)\/r)\/r))**41)**(-7) assuming r is positive.\nAnswer: r**(-42763\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g**5\/9 + 74*g**4\/9 + 104*g**3\/9 + 8*g**2\/3 = 0. Calculate g.\nAnswer: -3, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 1. Let t be r(-4). Suppose n + t*o = 3*n + 9, -27 = -4*n - 5*o. Let q = 3543 + -3519. Calculate the smallest common multiple of n and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(((-14)\/132)\/(203\/(-58)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 27*c - 77. Let k be n(3). Let j(w) = -2*w**2 + 6*w - 4. Let r(z) = 6*z**2 - 18*z + 11. Calculate k*r(h) + 11*j(h).\nAnswer: 2*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + 2 + 1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - 0. Let y = -20.04 - -21. Let f = q + y. Which is the smallest value? (a) f (b) -2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -209, -140, -71?\n\"Answer: 69*y - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11bf3 (base 16) to base 7\nAnswer: -421633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3 + 3 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.4 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -2*s + 4*k + 248, -4*s - 2*k = -490. Let n = -104 + s. What is the remainder when 46 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-30)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 20 + -8 + 3 + (-4 - -48).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3655*l + 0 + 0 + 7306*l - 3646*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14849 + 1.62.\nAnswer: 1.47151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dffdddf. What is prob of picking 2 f and 1 d?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246.3 - -240.3. Is 0.052 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**5 - 402*m**4 - 270*m**3 + 1478844*m**2 - 13504725*m - 1591346250 = 0.\nAnswer: -39, 62, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (10 + -25 + (-6 - -17))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*5\/((-10)\/4). Solve -q - z*q = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 46. Let b be x(-8). Let k = 107 + b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = o - 6*o. Let j(g) = g - 2. Let n be j(o). Suppose 0 = -3*t - n*l - 2*l + 8, -2*t + 16 = -4*l. Solve 0 = -t*k - 3*m - 25, 7 = -k + m - 2*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**2 - q. Suppose -32 = -19*z + 11*z. What is the least common multiple of n(1) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4406249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 168. Let a = b - 56. Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 890*s - 1788*s + 897*s - 948 - s**2 as h + w*s + k*s**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-340)\/(-25))\/(-2))\/((-220)\/(-550))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -14 in ascending order.\nAnswer: -14, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2644040 and 151\/50274?\nAnswer: 71389080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.532323 and 0.139.\nAnswer: 0.073992897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1. Let z(k) = -k. Let u be z(2). Let a(i) = i + 3. What is u*o(r) - a(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60032.83 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-18)\/(((w*w**43)\/w)\/w) assuming w is positive.\nAnswer: w**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10 - 6 = 0. Let l(s) be the first derivative of f + s**3 - 6*s**3 + 0*s**2 - s**2 + 4*s**3. What is the second derivative of l(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*i**2 - 1763*i - 3108169\/2.\nAnswer: -(i + 1763)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/10, 4\/7, -2\/19?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*n + 30310 = 184*n for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**6\/90 + 2*z**3\/3 + 7. Let u(s) be the third derivative of l(s). Let f(c) = -c**2. What is u(f(m))?\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10299*b + 102988. Determine x(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssszszqyzzqszqyqslz. Give prob of sequence zssy.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13\/4, 2\/15, 4\/7, -2\/253?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70041317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - 3*w + 5*w)*(6 - 1 - 3)*(w - w - w + (4 + 0 - 2)*(0 + 0 - w) - 1 - 2*w + 1 + 0*w + 0*w - w)*(5 - 2 - 5) to the form v + m*w + n*w**2 and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igbbynaiy. What is prob of sequence igy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + t + 583, -2*m + 3*t + 366 = -18. Solve -56*r = m + 197 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 609937158 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 144310 - 144309.9999857251. What is u rounded to 7 decimal places?\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 1007615*r + 2015250.\nAnswer: -5*(r - 201525)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 9*m - 10. Let l be ((-1099)\/(-28) - 38)*(-8)\/(-10). What is i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 18030330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87211.02l to millilitres.\nAnswer: 87211020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3553255 and -10\/867.\nAnswer: 10659765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1786, -0.4, 7388?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -5\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10916*i**3*s**2 - 28*i**3 + 4*i**2*s**2 - 15*i**2*s + 5*i**2 + 6*i + 703*s wrt i?\nAnswer: 65496*s**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 59 = -4*z, -z + r = -4*r - 26. Suppose 0 = -6*u + z*u - 25. Solve 3*b - 2*j + 2 = -2, 23 = -b + u*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1\/3, 2\/3, 0, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 2, -1557, 2\/7, 0.4, -3 in increasing order.\nAnswer: -1557, -3, 2\/7, 0.4, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1546 - 5?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10343\/79230 + 17\/570. Let v = -2447\/834 - r. Calculate the common denominator of v and (-3)\/(-6) - 32\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2945105, 11780432, 26505977, 47121740, 73627721, 106023920, 144310337?\nAnswer: 188486972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/16*((-12215)\/1396)\/(25\/(-8))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 349?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 23*l - 18273 = s, 0 = -3*l + s + 10963. What are the prime factors of l?\nAnswer: 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2 = p + 18, -p = -6*k - 30 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 33 = -2*s, 0 = 2*l - 4*l + 2*s + 18. Let q(j) = -9*j - 3. Let w(k) = 5*k + 2. Give l*w(a) + 3*q(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 838107746801 and 3?\nAnswer: 838107746798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257 + 555. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1032.9999739 + 1033. What is x rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2) + 29\/58.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-694)\/8 + (-5)\/20. Let k = -65 - v. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258535583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43524290 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -11. Let i = x + -31. Suppose 0 = 5*p - 3*p - i. Calculate the greatest common factor of 63 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 8. What are the prime factors of x + 4\/4 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62\/(-2)*270\/(-5). Suppose 4*l - 3*w = 4849, 2*w = l + 468 - a. Suppose -2*x + l = x - 5*h, -5*x + 4*h + 2005 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**1\/b)\/b)\/(((b**4*b*b)\/b)\/b*b*b*b*b))\/(b**0)**(-7\/6))\/((b*b**0)**(-13)\/((b\/((b**(3\/7)\/b)\/b))\/b**5)) assuming b is positive.\nAnswer: b**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - y = 11, -14*c + 11*c + 2*y = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n + 2. Suppose -3 = -12*r - 3. Suppose c = -5*d - r*c - 1, 3*d - 2*c = 2. Give o(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 take away -678.2?\nAnswer: 479.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(x - x + 2*x) + 115 - 44*x - 115 - 34*x.\nAnswer: -76*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 938423765, 938423764, 938423763, 938423762?\n\"Answer: -w + 938423766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4\/3 - 8*k**3\/3 + 4*k**2 + 32*k\/3 + 16\/3 = 0. Calculate k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a - 8*a)*(-a**2 - a**2 + 3*a**2) - 2*a**3 + a**2 - a**2.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4368 = -5*o + 7692. Does 34 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -85 - 5*n + 0*n + 4*n - 3*n. Let i be r(-20). Put -23, 0, i in ascending order.\nAnswer: -23, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 178*j**2 - 4*j + 2. Let q be x(-1). Let n be (-23)\/(q\/48)*(-2)\/18. Factor 8\/3 + n*v**2 + 8\/3*v.\nAnswer: 2*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/2 + 3825\/374. Let d be (-57)\/(-33)*(-57)\/(-9). Let b = d + l. What is the common denominator of b and 7\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2409.8 to the nearest ten.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 69815, 69782, 69749, 69716, 69683, 69650?\n\"Answer: -33*i + 69848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112)*-2 + sqrt(112) - sqrt(112))*-2*6)**2 + 4.\nAnswer: 64516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1714 or 8620?\nAnswer: 8620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-51 - (-689469)\/13515)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9*l + 5*l = -25, -z + 3*l - 16 = 0. Let s be -8 + z*1276\/(-158). Is -1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582573397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from qgu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - g - 1 = -3*l, -g - 1 = -5*l. Suppose -a + l*r - r = -16, -r + 58 = 4*a. Suppose 0 = -a*w + 15*w - 52. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4550 and 22195.\nAnswer: 20197450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1847, -7527, -16995, -30251, -47295, -68127?\nAnswer: -92747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 383 - 22 = 3*u, -4 = -2*g. Suppose -3301 + 4225 = 21*m. Let s = u - m. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - x - 13. Let d = -23 + 25. Let l(c) = -6*c + 0*c + 0*c**2 - c**d + 5*c. Let v be l(-1). What is z(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9260?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*z - 1322 = 2192 + 151 + 3335 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grr when three letters picked without replacement from {g: 2, r: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6361*k**3 - 3478*k**3 - 2876*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o*o**0))\/o*o*o)\/o*o)**(-1\/7)\/(o**6\/o*o**3) assuming o is positive.\nAnswer: o**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3*r**4\/16 + 327*r**3\/4 + 106929*r**2\/8 + 3885087*r\/4 - 331. Factor y(p).\nAnswer: 3*(p + 109)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84025134 + 101.2.\nAnswer: 84025235.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-54)\/(-12)) - 5\/(3915\/(-228))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6150)\/60)\/41)\/(5\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.01, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = -15. Suppose 4*h + 3*q + 13 = -45, -h = -5*q + 26. Is x at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1791*h - 882*h + 440664 = 7021*h + 73944 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 5*t**2 + 3. Let z be o(5). Let q be 2\/7 - 96\/(-7). Suppose -z*u = -3*d - 7*u + q, -2*d - 2*u + 8 = 0. Solve -d*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4872 - 4877. Which is the closest to 32? (a) 0 (b) 0.5 (c) 2\/13 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*w + 53 + 261*w - 10 - 775*w + 261*w.\nAnswer: 4*w + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43372 is divided by 1822.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-24) + ((-190794)\/(-16) - 5). Calculate the highest common factor of 80 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 - (-10 - (7 + (1 - 10)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8560 divided by -10.\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13234*k + 39681. Determine l(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 10*3\/2. Suppose 16*s = o*s + 20. Let k(y) = 1379999*y + 5. Let w be k(s). Round w to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*f**2 + f + 2*f - f + f to the form j + u*f**2 + s*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10060, -19977, -29894, -39811, -49728, -59645?\nAnswer: -69562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 810 + -138. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) -3 (b) -5 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3534 and -4\/39.\nAnswer: 45942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69468*a + 69467*a = -3*q - 10, 2*a = -4*q - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g + 846 = -204 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0508 or 39612?\nAnswer: 0.0508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (168 - 102) + -30 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1, n: 2, k: 1, z: 1, l: 2}. Give prob of picking 1 y and 1 p.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (246\/(-656))\/((-2)\/(-16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 - 63*f**4 + 18*f**4)*(3*f - 2*f + f).\nAnswer: -94*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-5)\/l)*l\/(l\/l**(3\/10)) assuming l is positive.\nAnswer: l**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 - 102. What are the prime factors of y?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*u + u - 3*x, 70576*u = 70575*u - 3*x + 20 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 14 + 0*g + 2*g - 3*g. Let u be r(10). Suppose u*m - 17 = -3*b, 12*m - 32 = -5*b + 9*m. Solve n + 2*v + b = 0, 3*v = -5*n - 0 - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 1, -6 in increasing order.\nAnswer: -59, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20263*j + 390 = 20237*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcpbbccpccss. What is prob of picking 1 p and 2 s?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17))**(17\/3) assuming k is positive.\nAnswer: k**(-289\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 - 2*k - 4. Suppose -6*a - 8 = -8*a. Let q be o(a). Solve -q*v + 22 = 2*i, 5*v - 22 = -5*i + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2 - m. Let t(d) = 33*d**3 + 6*d**2 - 7*d. Let l(u) = -6*q(u) + t(u). What is the tens digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040) + sqrt(5040) + sqrt(5040) + sqrt(5040)*2)*5 + 2*sqrt(5040)*4)\/(1*sqrt(5)*5 - (-1*sqrt(45) - sqrt(45))\/sqrt(9)).\nAnswer: 396*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.61 - -27. Let r = a + -0.79. What is the third biggest value in r, 2, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 386, 0, -38, -1, 1 in increasing order.\nAnswer: -38, -1, 0, 1, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*g - 12, 4*g - 14 = 3*c - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 92?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5+-41.441\nAnswer: -46.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801523079.\nAnswer: 7, 1051, 108947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1268 in -3, 0.038, 3, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793863648?\nAnswer: 2, 87308239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Suppose l = a*l - 93. Suppose 0 = 5*t - k - l, -4*t - 3*k = 6 - 46. Calculate the lowest common multiple of t and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 + 36.3. Let t = 52 - r. Which is the nearest to 1\/4? (a) -2\/9 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 14*z**4 + 3*z**2 + 25*z**4 - 3*z - 14*z**4 in the form l*z**3 + j*z**2 + n*z**4 + q + c*z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289367343*u**2 + 355590440*u wrt u?\nAnswer: -578734686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + 699*g - 5468. What is c(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 111796, 111821, 111846, 111871?\n\"Answer: 25*v + 111771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + c - 1. Let x(i) = 6*i**2 - 3*i + 3. Let u(f) = -3*p(f) - x(f). Let g be 130\/18 + 4\/(-18). Let m(w) = 7 - g + w. What is u(m(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 344*c**2*j**3*p + c**2*j - 278*c**2*p**3 - 2*j**3*p**3 - 2*j**2*p**2 wrt j.\nAnswer: 2064*c**2*p - 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036964905?\nAnswer: 5, 1109, 187009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 107*u - 45 - 111*u + 52*u.\nAnswer: -3*(u - 15)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*y = 10, 3*o = -5*y + 6 + 16. Suppose o*z + 5*g = 4*g + 7, 0 = 2*z - g - 11. Suppose r - z*k = 29 + 166, -2*k = -2. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than -9297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 3)*(-x**2 + x**2 - x**2) - 4*x**2 + 3*x**2 - x**2 + (-6*x - x + 4*x)*(3*x - 2*x + 0*x) to w*x + h*x**2 + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 589*d - 4774. Give n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z**(1\/9))**(1\/19) assuming z is positive.\nAnswer: z**(55\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-3) + (-4 - 5). Let d(v) = 17*v + 2. Let x(m) = 9*m + 1. Determine l*x(k) + 6*d(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -51. Is 10 a factor of 0\/n + 2 + 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-9) + 2\/(-6). Suppose l*g - 18 = -2*o, 4*o + g = -2 + 38. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0.1 (b) 1989 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 8*i**2 + 8*i - 2. Let s be h(7). Suppose -s*k = -4*k - 2. Factor 2 - 5*p**k - 10 + 3*p**2 - 8*p.\nAnswer: -2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 665480 - 664934 = 0 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 12:01 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*n - 2 = 0, 0 = c + n - 114 + 116 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - s**3)*(2 + 29 - 15) + (0 + s + 0)*(5*s**2 - 4*s**2 - 2*s**2) in the form w*s**2 + d*s**3 + h*s + j and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 317 and -11579.\nAnswer: -3670543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*j**2 - d**2*j + d*j**3 - 10*d*j**2 + 80*j**3 + 1887*j wrt j.\nAnswer: 2*d**2 + 6*d*j - 20*d + 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 291.\nAnswer: 35211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 5 = 11*t. Solve t*w = 16*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5436, 5510, 5572, 5622, 5660, 5686?\n\"Answer: -6*t**2 + 92*t + 5350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l. Let g(s) = 84*s**2. What is r(g(a))?\nAnswer: -252*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b24 - a5?\nAnswer: -2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20634, 17810, 13112, 6546, -1882, -12166, -24300?\n\"Answer: w**3 - 943*w**2 - 2*w + 21578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108031.4725 rounded to the nearest one hundred?\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 209 + 0*r - 227\/3*r**3 + 148*r**2. Find the second derivative of h(u) wrt u.\nAnswer: -454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.926, 0.5, 5, -3, 3\/16?\nAnswer: 1.926","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 535.945343 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/28*-48*11\/22?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*h + 25, -5*h + 4*q - 2 = -7. Suppose 6*j = 11*j - 25. Suppose 2 = -4*t + j*t. Solve 3*i + h = t*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 11*c**2 + 3*c - 22. Let y be k(-10). Let u = y - 32. Solve u = 2*q + 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0.4 (c) -0.1 (d) 0.5 (e) -0.31 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-118) - 26910\/(-6785). Put -2, r, -4, -283, 0 in ascending order.\nAnswer: -283, -4, -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, d: 1, f: 3, a: 6, l: 1}. Give prob of picking 2 a and 2 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b46 - 0?\nAnswer: -b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 = 2*n, -4*h = 46*n - 49*n - 10. Solve -2*o + 58*q - 57*q = 0, 3*q = -o + h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146337496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 906058.725 rounded to the nearest 1000?\nAnswer: 906000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 2415\/(-5635) - (1 - (-241)\/(-7)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 310 + -270. Calculate the greatest common factor of l and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d + 22. Let j = d - -46. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -73. Let h(v) be the second derivative of -v + 0*v**2 + 0 - 2\/3*v**b. Let c(z) = z**2. What is c(h(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**6\/15 + 7*g**5\/5 + 2*g**4\/3 - 138*g**3 - 405*g**2 + 5349*g. Factor s(x).\nAnswer: 2*(x - 5)*(x + 1)*(x + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934*j - 3257 - 16505 - 4522 = 0 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 28. Calculate the least common multiple of 125 and o(-36).\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 179*p**2*x - 10988*p**2 + 2467*x + 113 wrt p?\nAnswer: 358*p*x - 21976*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n + 15 = 0. Let p be (-1 - 7)*(10 + 459\/(-36)). Suppose v = m + 1, -p = -2*v - 6*m + 3*m. Solve -v*z - u - 3 = n, 8 = 2*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 986 + 3881 = 31*o. What is the remainder when o is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + 42. Suppose 31 = h - 7. Suppose -4*q - 5*n + 97 = 0, n - h = -q - 3*n. What is the highest common factor of g and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-3*j + 4*j - 3*j) + 5*j + 2*j + 3*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-11))\/((36*3\/2376)\/(1\/(-4))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 351469 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -344411*u + 23583 wrt u.\nAnswer: -344411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:28 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6384494 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 7*q - 4. Let p be k(6). Let j(g) = 2*g - 8. Let x be j(8). Calculate the highest common factor of p and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 13. Let w be (4\/x)\/(4\/(-18)). Suppose -z + 8 = 2*v, 2*v + 19 - 35 = -5*z. Solve 5*u - 25 = 0, w*c + z*u - 22 = -3*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 5 - (2 - 1). Suppose 11*s + 5*f = 14*s - 3, 0 = f. Let w = -528 - -7918\/15. Which is the closest to s? (a) 7 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315 - -312.97. Let w = 1.9 + i. Round w to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2 + 84*j + 882 = 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -32538*l - 197018. Give y(-6).\nAnswer: -1790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.68 + 0.2. Let w = -0.05 - i. Let l = -1.43 + w. Is 1.3 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {h: 3, a: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/4 - 303717*o\/2 + 607437\/4 = 0. Calculate o.\nAnswer: -202479, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*((5 - 4) + -2). What is the second derivative of 2*n + 4*n - y*n**4 - 13*n wrt n?\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14 + 2*u**2 + 16 - 54 - 3*u + 2354*u**3 - 61 + 2123*u**3 wrt u.\nAnswer: 26862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1479\/845?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 - -191. Solve s = -0*u + 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -41735 and -41733 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0 = -25. Let h be 4\/(3 - d\/(-2)). Suppose 0 = -q - h + 27. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6154682*q**2 - 1489881 wrt q?\nAnswer: 12309364*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1144 and 16?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 85620575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 + 36*z + 69. Let o(i) = i**2 + 6*i. Let y(w) = -6*o(w) + s(w). Let g(q) = -q**2. Give g(y(c)).\nAnswer: -4*c**4 - 276*c**2 - 4761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 7*t**2 - 4*t. Let f be n(-8). Let k = -16 + 10. Let o be k\/(-9) + f\/3. Round o to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-2*(-6)\/(-9)*3 + 3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 23. Is a at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.064 + 26.936. Let f = 27.76 - i. Let b = 0.76063 - f. Round b to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b - 6. Let x(i) = 2 - 2*i + 4*i - 4*i. Let c = 7 + -6. Give c*o(d) - x(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51 and 0.306.\nAnswer: -50.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252))*4 + (sqrt(252)*-1 + 0)**2 + (-2*2*sqrt(42))\/(sqrt(216) - -2*sqrt(216)).\nAnswer: 214*sqrt(7)\/9 + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/2 + 15653385*j**2 - 62613534*j + 62613532 = 0.\nAnswer: 2, 31306766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.82 - -18. Let m = -0.17 + g. Which is the third biggest value? (a) m (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**3\/9 - 2*z**2\/3 - z + 160. Suppose y(p) = 0. Calculate p.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 422 = -4*r - 2386, -3*y + 5*r = 1441. Let z = 150 - y. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/13)*t\/((t\/t**(-5\/7)*t)\/t)*t**1\/t*t**8 assuming t is positive.\nAnswer: t**(649\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13894720.\nAnswer: 2, 5, 7, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/17 not equal to 3.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.385257 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41543548195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*i + 1191, 5*s - 3*s + 2382 = -5*i. Let n = -272 - s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 399, 799, 1201, 1605?\n\"Answer: n**2 + 397*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/2291)\/((-18)\/(-2832)) - 6?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(10)*2) + (sqrt(720)*1 - sqrt(720)))\/((sqrt(10) - (sqrt(10) + (sqrt(20)\/sqrt(8) - sqrt(10)))) + sqrt(10) + sqrt(10) + -2*sqrt(160))*4.\nAnswer: -4*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4764 bigger than -4764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 6\/(-4))\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + -3 - (sqrt(3) + ((sqrt(432)*1 + sqrt(432) - sqrt(432)) + sqrt(3))**2))*-6.\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-81))\/(-1*32\/(-432))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 20. Let p(o) = 3 - 43*o**2 + 100*o**2 + 9 - l*o - 58*o**2 + 0. Give p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -860 and 0.3.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 290223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 + 232800*j**4 + 3581799700*j**3 + 17717135836400*j**2 - 7595248680801600*j - 15261337254275840 = 0. Calculate j.\nAnswer: -15652, -2, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -279 + 448. Let i = a + -166. Solve 0 = i*j + 2 - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101141 + -3?\nAnswer: -101144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/4)\/(3\/(-2)). Suppose 0 = -42*i - 127 - 167. Is i bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 363*u**2\/4 + 360*u - 359.\nAnswer: (u - 359)*(u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 101736 - 101736.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/(f**3*f))\/f)*f\/(f*f\/(f*f*f\/((f*f**(2\/3)*f*f*f*f)\/f)*f*f))*((f*f**(-1)\/f)\/f)**(-24)*(f**(-2\/23)*f**8)\/(f**(-2)*f**(-4\/11)) assuming f is positive.\nAnswer: f**(47521\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + 9*z**2 + 1. Let d = -13 - -18. Let k(b) = -3*b**3 + 14*b**2 + 1. Determine d*k(l) - 8*y(l).\nAnswer: l**3 - 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214\/963*15\/6*15.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2 - 290*l + 915 = 0.\nAnswer: -61, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*(h*h**(-2\/5))\/h*h)\/h)*h*h)\/h)**0*h\/h**(-2\/3)*h*h**(-1\/6)\/h assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n - 75 + n**2 - 3*n**2 + 75 to x*n + v + z*n**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 874*w + 877*w + 0.\nAnswer: 3*w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxqxqsqsxxssssqqxpqx. Give prob of picking 1 q and 2 x.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -7. Let n = v - 0. Let d(z) = -2*z**2 - 4*z - 4. Let i(m) = 3*m**2 + 4*m + 3. Let r(g) = 4*d(g) + 3*i(g). Calculate r(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)*y\/y**(-3\/5) assuming y is positive.\nAnswer: y**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5534, 14098, 25706, 40364, 58078, 78854?\nAnswer: 102698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -72, 0.03, 5\/2, 1, -4 in ascending order.\nAnswer: -72, -4, 0.03, 1, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 913\/518 - 15\/37. Find the common denominator of u and -95\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -9 - -4) + -4 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17641532, -17641535, -17641534, -17641529?\n\"Answer: 2*o**2 - 9*o - 17641525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 (base 10) in base 15?\nAnswer: ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**3\/h*h)\/h)\/(h\/(((h\/((h\/h**26)\/h))\/h)\/h*h*h)) assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(sqrt(2548) + sqrt(2548)*4) + 4))**2.\nAnswer: 70000*sqrt(13) + 39812900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d - 17. What is j(8)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 42*y**2. Let v(z) = 9*z. Let s(f) = -5*f. Let u(i) = -5*s(i) - 3*v(i). Calculate u(j(q)).\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*l**2 + l**3 - 203 + 204 + 298*l**2 + 250*l**2 to u + a*l**3 + b*l + c*l**2 and give c.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 617 - 622. Let z = 2.2 + -2. What is the closest to z in 0.2, 2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22825\/36 - -632. What is the common denominator of 117\/10 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2475 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -2\/7, -0.72, -46, -2\/3, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h. Let r(p) = -p**3 - 6. Let k(o) = -o**3 - o + 2. Let s(g) = -6*k(g) - 2*r(g). Give 6*l(y) + s(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218050\/117 - 23026\/13. Let z = o + -295\/3. What is the common denominator of z and 71\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 594 = 12*o. Suppose 0 = -5*g + 4*v - 10, -o = -22*g + 18*g - 5*v. Let j(q) = -q + 1 + 0*q + 0. Let c(t) = 2*t - 2. What is g*c(u) + 6*j(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**3 - 3*g**2 + g. Calculate the remainder when o(2) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (936\/91)\/6*(-70)\/(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/7 + 54590*k**2\/7 - 12052464*k\/7 - 36648648\/7 = 0.\nAnswer: -27514, -3, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by 16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4970091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4215 + 0?\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*v - 24. What is the remainder when 69 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/58605 and 55\/3.\nAnswer: 58605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/(d\/(d*d**(3\/7)\/d*d)))\/(d**(-2\/5))**(1\/16) assuming d is positive.\nAnswer: d**(967\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005256882 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 240 = -24. What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -44, -30, 4, 64, 156, 286, 460?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/5)\/((-1)\/85). Let j = b + -82. Let y = j + -621\/4. What is the common denominator of y and 119\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 199 + 7. Suppose -2*d = 2*s - 60, 2*s - 63 - n = -3*d. Calculate the remainder when d is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266 and 101308.\nAnswer: 709156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - w + 2. Let c be b(0). Find the common denominator of (-95)\/44 - c\/8 and (2*(-415)\/40)\/2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 131191179.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 58401*g**2 - 5*g. Suppose -8 = -3*v + 7. Let u be p(v). Suppose -x + u = x. What is x rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 746, 2499, 5286, 9107, 13962, 19851?\nAnswer: 26774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1 - 2 + 14 - 4 + w**2. Let k be p(0). Suppose 4*h - 2 = 2*r - k*r, 3*h = -3*r + 3. Put -1\/12, 1\/3, 3, r in descending order.\nAnswer: 3, 1\/3, -1\/12, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 2063197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)*s*s*s\/(s*s**18*s)*s)**(-1\/10) assuming s is positive.\nAnswer: s**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1288*x - 7691. Calculate the remainder when 341 is divided by l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 3\/2*b**2 - 1\/6*b**3 - 2*b - 43 + 1\/20*b**5 - 1\/4*b**4. Determine t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 2*b - 13*b + 44.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 2*r - 4*r + 4*r + 0 - 41 + 6*r.\nAnswer: -r - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/9 and 113\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 34. Let i be f(-14). Let z = i + 51. Solve -5*m - z = -4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 41*k - 9. Let g(x) = -40*x + 13. Give 6*c(y) + 4*g(y).\nAnswer: 86*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18900742 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143343 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2605 + -2605. Let t = 3 - 0. Let h(m) = -m - m + t*m + 4. Give h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 5. Let i(m) be the third derivative of -m**4\/8 - 2*m**3\/3 - 154*m**2 - 2*m. What is 5*i(k) + 4*x(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 28 = 2*w - 88, -c + 3*w = -12. Solve -c*p - 2*p + 28 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246864*i - 611812 with respect to i.\nAnswer: 246864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 334.1368 + -332.2. Let f = u - 2. Round f to three dps.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13132958.49 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -374.23?\nAnswer: -374.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5832 + -0.583224268. What is x rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, h: 1}. What is prob of picking 1 h and 1 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35236 and 10488.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13973.99 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 2*y = -312, 0 = -5*f + y + 390. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*a + 69*a = 15*a + 404. Suppose -2*u - 2*d + 8 = 0, 12 = 2*d + d. Suppose z + 2*z - 36 = u. Solve -b = 4*j - 20, b - a*j = 2*b - z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 2\/9, -0.127, 2, 1, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyymyyyymymyyymymy. What is prob of sequence ymym?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38302 divided by 11\nAnswer: -3482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:37 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 188*z**2\/7 - 1077116*z\/7.\nAnswer: 4*z*(47*z - 269279)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 104, -5, -4, -2, -28 in decreasing order.\nAnswer: 104, 5, -1, -2, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -4\/5, 0, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -18*p + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 24. Let n = i + 44. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-6)\/(72\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -235*z + 482*z - 260*z. Let a(l) = l**2 + l**2 + 47*l - 47*l. Calculate m(a(g)).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/3*136\/(-352) and 95\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccncn. What is prob of picking 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -157. Suppose -f = 9*s - 283. Is s at least as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441\/(-605) + (42\/33)\/7?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.3, -11, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426953176?\nAnswer: 2, 13, 4105319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3217632 (base 8) to base 2.\nAnswer: 11010001111110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from pdpdpdd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -75. Let s(x) = -x**3 - 10*x**2 + 11*x + 16. Suppose -4*y = -80 - 8. What is the lowest common multiple of y and s(b)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d**4 - 142*d**3 - 238*d**2 + 318*d + 72 = 0. What is d?\nAnswer: -12, -3, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7089, -7086, -7083?\n\"Answer: 3*n - 7092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x + 23. Determine b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6825 and 42600.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302225342 - 230?\nAnswer: 302225112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17091\/1444 or 11?\nAnswer: 17091\/1444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 11*v**2 + 7*v + 2. Let t(j) = j + 11. Let a be t(-8). Let f(l) = 1 - 20*l + 11*l + 5*l**2 + 12*l. What is a*r(h) - 7*f(h)?\nAnswer: -3*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -264987*z**2. Let n(h) = 707*h. Determine k(n(b)).\nAnswer: -132453486963*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59976 and 630.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 - 2. Let x(g) be the first derivative of g**6\/60 + g**4\/12 - 11*g**3\/3 - 8. Let d(v) be the third derivative of x(v). Give -2*d(r) - 3*i(r).\nAnswer: 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 9392*y**2 + 9378*y + 56340.\nAnswer: 2*(y - 4695)*(y - 3)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1345164 (base 9) to base 14.\nAnswer: 153264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1994 or 3521?\nAnswer: 3521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-9 - -5) - (3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 39 = -5*n, -8 = 4*n - 115*u + 119*u. Suppose 0 - 9 = -3*q. Solve 0 = -4*t - n*j + 27, q*t - 2*j - 6 = -j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - d - 1. Let j be m(-2). Let t = 13 - 21. Let o = t - j. What is the smallest value in -0.4, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhlhlfh. Give prob of picking 3 h and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120\/(-25)*(-435)\/12?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 13*g**2 + 7*g + 2. What is the units digit of d(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let j(o) = -8 - 15 - 49*o + 23. Calculate j(c(f)).\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 9*m + 10. Let x(u) = -3*u**2 + 2*u - 1. Let c be x(2). Let g be l(c). Let v = -4 + g. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89501 is divided by 2876?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-8)*-2*(-6)\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-42)*7\/((-4)\/(-2)*1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 41858432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/135 + 13\/5. Suppose -2*r = -l - 8, 0 = c*r - 2*r - 2*l - 10. Suppose 184 = 5*t + 4*o, -8 = r*o - 0*o. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7363 + -7363. Sort 43, 4, 5, w in decreasing order.\nAnswer: 43, 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94269 and 3283.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1409*m**2 - 1081*m**2.\nAnswer: 328*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -9*a - 400. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**3 + 238*k - 258*k + 3*k**3 - k**2 to the form o*k**2 + x*k**3 + g + b*k and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i + 95 = 0. Let t = i - -24. Suppose t*o - 2130 = y, -21 = -5*y + 4. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -1 + 7 - (1 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Let y be (2\/f)\/(1\/(-76)). Let c = -27 - y. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (133 + -5)\/(2\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/3))**35*k**(-7)*k**4)**(-2\/35) assuming k is positive.\nAnswer: k**(-122\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-266)\/(-6) - 10\/30.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2868177*l**4*n*u - 17*l**4*u - n*u - 3561*n - 6*u + 7 wrt l.\nAnswer: -11472708*l**3*n*u - 68*l**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4626520 and 0.24621?\nAnswer: 4626520.24621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from yyyyyhyy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 902031366*v**2 + 902031371*v**2 + 7*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p + 2. Suppose 0 = -r - f + 2*f + 2, 12 = -3*f. What is the units digit of x(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) 23 (c) 0.5 (d) 0.2 (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 12*q**2 + 4*q + 10. Let c be v(9). Suppose 2*s = 77 - c. Let t = 1 - s. What is the remainder when t is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)*o\/o**(-1\/17))\/(o*o*o\/((o**(-3)\/o)\/o))**(-2\/27) assuming o is positive.\nAnswer: o**(-6127\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from {y: 2, a: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3872? (a) -5 (b) -15 (c) 682\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 176967321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22357093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5391267 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**1)**(-17)\/(x**0)**(-23\/3)*(x**(-1\/2)*x**1)**41 assuming x is positive.\nAnswer: x**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z = 3*v - 70, 0 = -5*z + 25. Let g = -28 - -73. What is the greatest common divisor of v and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(48) + -1*sqrt(48) + 4)*-4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 8) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 2, r: 3, s: 1, t: 2, q: 3}. Give prob of picking 1 i, 1 q, and 2 t.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -75 (b) -0.1 (c) 4 (d) 1\/713\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -457 + 8*s**2 + 3584*s**5 + 2646*s**5 + 42 - 6*s**2 wrt s.\nAnswer: 373800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/519 less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 3. Let m(q) = 5*q - 11. Let z(f) = -11*f + 25. Let i(x) = -9*m(x) - 4*z(x). Calculate -6*i(u) - 2*n(u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3449304621 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3020 divided by 10\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 301059\/(-243) + (-14)\/189. Let m = x - -8682\/7. Let 0 - 3\/7*g**3 + m*g**2 - 9\/7*g**4 + 0*g + 3\/7*g**5 = 0. Calculate g.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-714*m + 68*m - 85*m)*(-4*m + 0*m + 2*m).\nAnswer: -2924*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310052588 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/9 + (6 - -1). Let g(i) = 88*i - 62. Is 38 a factor of g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 32 = -a + 2*y, -3*a = -5*y - 58. Suppose 9*j = -11 - 16. Let f be (7 - (1 - 4)) + -1 + j. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 21588*m**2 + 1012223*m - 4394364.\nAnswer: (m - 4)*(m + 51)*(m + 21541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97540, 97541, 97542, 97543?\nAnswer: 97544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 39\/(-14) - 406\/1421)\/((-156)\/13208)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 49549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16\/((-16)\/(-2)))\/(140\/(-126))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 - 7*g**2 - 13*g + 11. Let q(h) = h**2 - 3*h - 24. Let o be q(6). Is p(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 8*b. Solve -2 = -2*h - 0, b*d = -4*h - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*-5*(225\/9)\/(-350).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 176, -3, -69465?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = -27*v + 312. Let h(n) = n**2 - 10*n + 13. Let q be h(9). Solve v*u + q = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4464544?\nAnswer: 4464544","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1725*p - 2. Let k(h) = 1725*h - 3. Determine -3*k(t) + 4*r(t).\nAnswer: 1725*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 44?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*q**5 - 32*a*q**3 - 196*a - q wrt q?\nAnswer: 40*a*q**3 - 192*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 8*r + 21 + 1 - 11. Let q be g(-9). Suppose -564 = -q*b - 2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**3 - 4. Let n(d) = -16*d**3 - 13. Let i(g) = g**2 + g + 7. Let y be i(0). What is y*f(m) - 2*n(m)?\nAnswer: -3*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129*q - 144 = -1092*q - 921 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1))\/(-6 + (-22)\/(-4)). Suppose 5*t = j*l + 11, 0*t = -3*t + l + 8. Find the second derivative of -20*f + 27*f**3 - 77*f**t + 38*f**3 wrt f.\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/75 + r**4\/6 + 26*r**2. Factor o(h).\nAnswer: 4*h*(h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/8 - 1\/4. Suppose -t*a - 3*i = 0, 0*a - a - 5*i = 22. Suppose -m + 3 = x - 0*m, 4*m = 2*x - 6. What is the highest common divisor of x and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14336907 (base 10) to base 13.\nAnswer: -2c7c8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4823\/240857 - -3\/2251. Let b = o - -547\/642. Let g(v) = 2*v**3 + 2*v**2 - 3*v - 2. Let p be g(-2). What is the second smallest value in p, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcgkp. Give prob of sequence cp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 10 + -5 + -10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 143477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/270 and -35\/1161.\nAnswer: 11610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/128*56)\/14?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29278*b**2*d*s - 12313*b**2 + b*d**2 + 9*d**2*s - 33 with respect to s.\nAnswer: 29278*b**2*d + 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(192) + sqrt(192))\/(-2*sqrt(384)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 + 17*g. Let k be f(4). Suppose 3*m + 4*w - 74 = 0, 0 = 3*m + 3*w - 16 - 56. Is k <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(3\/6). Suppose -33 = -5*c + h, 4*c + h + 0*h = 30. Suppose s = -4*p - 4*s - 1, -5*p + 2*s = -c. Solve -t + p + x = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1439*d + 339600. Determine o(236).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 27 + 6*k + (-2 + 5 - 4)*(0*k + k + 0*k) in the form v + c*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioio when four letters picked without replacement from sooiivoivz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 2016*p.\nAnswer: 3*p*(p - 672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2328\/970)\/(4\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 26301.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 7:11 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110 + 201?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9902322 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:18 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 695, 1, -5, 0.5 in increasing order.\nAnswer: -5, 0.5, 1, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*m + 16199880. Suppose 3*j + 2*j = -4*y - m, -2*j - 1079985 = 3*y. Round j to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4170 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2*x**5\/65 - 4*x**4\/13 + 4*x**3\/13 + 72*x**2\/13 - 270*x\/13 - 548. Find v such that c(v) = 0.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(1200) + 3)**2 - (2 + sqrt(1200) + -1)*5) + 1.\nAnswer: -220*sqrt(3) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*y + 2, 2*h + 7 = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/5))\/l)\/(l**(1\/13)*l))**(-11\/2) assuming l is positive.\nAnswer: l**(242\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 10101?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*s = -31, -5*t + 5*s + 31 + 54 = 0. Find the common denominator of 97\/16 and (t\/8 + -1)*(-208)\/(-200).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/1*121\/(-39930)*110.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24540 - -604?\nAnswer: -23734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92, -110, -134, -164, -200, -242?\n\"Answer: -3*n**2 - 9*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 2. Let m(p) = 11*p**2 + p + 26. Determine m(k(o)).\nAnswer: 11*o**4 - 45*o**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 715, 1384, 2049, 2716, 3391, 4080, 4789?\n\"Answer: o**3 - 8*o**2 + 686*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484 is divided by 129?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 143.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**2 - 2*l + 7. Let s(r) = -33*r**2 + 4*r - 13. Let z(u) = -11*i(u) - 6*s(u). What is z(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v - 5 - 3*v + 1 + v**2. Let d = 175 - 179. Let c be t(d). Solve -c*r = -15 - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + 90 + -25 + -44 + 3\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 + 12 = 0. Let o = 6 + b. Find the second derivative of -5*k**o - 2*k + 3*k + 4*k**2 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3480.5 + -3481. Which is the closest to -25\/6? (a) 2\/7 (b) 1\/4 (c) o (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -1 - (-1792)\/7 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 o when four letters picked without replacement from gggggggoogoggogoogg?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 31 = -15*r - 74 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 8796.6?\nAnswer: -8797.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 4*r + 40*r**3 + 8 + 5*r - 6*r to c + j*r**2 + s*r**3 + m*r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 37 = -5*n + 10, 0 = 4*n - 3*t - 30. Suppose 0*r + r + 3*u = -1, 4*r - n = u. Solve -2*x - 6 = 4*j, -r*x - 6 = 5*j + 2*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -137*r + 1196. Let p be l(15). Sort 0, -3, p in descending order.\nAnswer: 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182086742*f**2 + 164555854.\nAnswer: -364173484*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6366842?\nAnswer: 2, 31, 103, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 7, r: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/36*44577\/(-889)*(112\/(-3))\/(-8)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 94 + 149 = 74 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15624, 31240, 46856, 62472?\n\"Answer: 15616*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1079 + -1054.45. Let u = -24 + l. What is u rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3617494431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300\/(-40)*((-14)\/35 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39629060 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**6\/3 + 8*w**5 - 145*w**4\/2 + 300*w**3 - 540*w**2 + 432*w + 99. Determine s, given that l(s) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1032003 (base 5) to base 9\nAnswer: -26315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 33*a**2 + 7*a - 1. Let r be d(3). Let p = 318 - r. Which is bigger: -2\/205 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a - 1 + 13*a + 6*a**4 - 5*a**4 - 3*a**2 in the form q*a**3 + d*a**2 + l*a + r*a**4 + k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(12\/11)*g\/(g**(1\/11)\/g*g) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4435635 by 155.\nAnswer: 28617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(363) - (sqrt(363) + 1)) + sqrt(363))*-4)**2 - (sqrt(192) + (sqrt(192) + 2)**2 + 3)) + -2.\nAnswer: -392*sqrt(3) + 5623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g = 8535 + 769. Solve -g + 2246 = 10*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5))**(-3\/7) assuming i is positive.\nAnswer: i**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 488*j**3 + 1452*j**2 + 1448*j + 482.\nAnswer: 2*(j + 1)**3*(j + 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8637*r*s**3 - r*s**2 - 1323*r*s + 5*r - 49*s**3 - 11*s**2 - 2*s - 3 wrt s?\nAnswer: 51822*r - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 5*m**2 - m - 6. Let k(p) = -p**2 - 10*p - 14. Let t be k(-6). Suppose -5*x = 3*d + 40, 0*d - d = -3*x - t. Calculate o(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -64.0063. What is h rounded to 4 decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n + 472 = 0. Suppose 0 = -123*s + n*s + 840. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -614*o - 11. What is the hundreds digit of p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 2*v + 9. What is q(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/249 in 0.38, -4, 5\/4, 5?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 - 24432*i**4 - 900423*i**3 - 4417050*i**2 + 75970092*i - 70628184 = 0. Calculate i.\nAnswer: -8107, -22, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1765\/3 + -568. Let z = s + -20. Let x = 0.1 - -0.1. Sort x, -2, z.\nAnswer: -2, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2711.00002567 - -2711. What is s rounded to seven decimal places?\nAnswer: -0.0000257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/81 and 10\/369?\nAnswer: 3321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.27 and -57270.4?\nAnswer: 57263.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7719 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 34*z + 9. Let k(q) = -60*q - 19. Let j(y) = -4*k(y) - 7*v(y). Let g be j(-6). Solve 11 = -6*x - g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36281 (base 10) to base 2\nAnswer: -1000110110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 - 3*p - 2. Let x be u(-1). Let l(f) = -f**2 - 2*f - 2. Let v(m) = 2*m**2 + 6*m + 7. Calculate x*l(s) - 2*v(s).\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 12 = 4*j. Solve -2*b - 3 = -b + j*r, -2*r = -3*b + 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 a when three letters picked without replacement from obbbdoddaodrdrbd.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9099 - 1107 = -80*b - 119*b - 179*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1107*q**3 - 3*q**2 - 26054.\nAnswer: 3321*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 430590664*p\/9 - 430590662\/9.\nAnswer: -2*(p + 1)*(p + 215295331)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -1, 684902.\nAnswer: -1, 47, 684902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211 - -211. Put -2\/7, -0.5, q in decreasing order.\nAnswer: q, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/(-27) - (-120)\/270?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -1 - (-5 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 14. Let d be h(3). Let f(i) = -3*i**2 + 3*i + 2. Give f(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(392) + 0 + -3 + sqrt(2).\nAnswer: -3 + 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 150\/45 - (-2300)\/(-825)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from {c: 3, a: 1, m: 2, i: 3, o: 3, x: 2}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40810 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 27 = 47*d - 46*d, 4*d + 4*l - 124 = 0. Solve 56*s = 24*s - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 5 = -h*u + 35. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/319 and 43\/272803?\nAnswer: 3000833","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, -110.0168, -2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.06 - 0.44. Let f = 1.5 + q. Is -4\/7 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -873440251 by -1.\nAnswer: 873440251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1 + sqrt(99))*5)\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11922, 20, -1 in descending order.\nAnswer: 11922, 20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/3)\/(c**(-4\/7)*c)*(c**2)**(-2\/125)*(((c\/c**(3\/5))\/c)\/c**(3\/8))**(-25\/3) assuming c is positive.\nAnswer: c**(174953\/21000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3555236?\nAnswer: 2, 888809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001220220 - 12?\nAnswer: 1001220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = -z. Let w be (-3)\/(-2) - 8\/20*5. What is the second biggest value in w, 4\/3, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/16431 and -119\/6.\nAnswer: 32862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63 + -2?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -1. Let j = k + 0.1. Let z = j + 0.65. What is z rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 773a4 + -6?\nAnswer: 77399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 6) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05 and 308130\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236.936 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 309a030 - 3?\nAnswer: 309a028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 692899906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -246*o**3 - 4*o**2\/3 = 0.\nAnswer: -2\/369, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i**5\/4 + 5*i**4\/2 - 183*i**3\/4 - 55*i**2 - i + 12 = 0. What is i?\nAnswer: -2, -1, -4\/5, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 3*v, 3*v = -3*o + 12. Solve o*r - 8 = -2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-2\/7)*a)\/a)**(21\/2))**35 assuming a is positive.\nAnswer: a**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/30510 and 77\/25425?\nAnswer: 152550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**5 + 6*c**4 - 12*c**3 - 24*c**2 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10204 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 1130 - 2831 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1385 and 437383.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Suppose 3*g = -3*u - 6, 7 = 4*u - 1. Let i = h - g. Solve i*y = 2*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -38, -49, -80, -137, -226, -353, -524?\n\"Answer: -c**3 - c**2 + 13*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*u + 63*u + 36 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 1, a: 4, y: 4, q: 7}. Give prob of picking 1 q and 3 a.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from {g: 3, u: 4, n: 1, z: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89976 (base 10) in base 4?\nAnswer: 111331320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41548 and 7004.\nAnswer: 4279444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.3 + 1.7. Let u = 14 - j. Which is the second biggest value? (a) 5 (b) -11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30, -48, -70, -96, -126?\n\"Answer: -2*s**2 - 12*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nueq when four letters picked without replacement from {x: 1, q: 3, s: 3, n: 1, u: 3, e: 2}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8049, -8059, -8083, -8127, -8197, -8299, -8439, -8623?\nAnswer: -8857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b = 89*b - 49*b. Let v(g) be the third derivative of 0 - 1\/720*g**6 + b*g + 1\/48*g**4 + 1\/18*g**3 + 0*g**5 + 18*g**2. Solve v(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 4*b**3 - b**4 - 19 - b**3 to w*b + p + f*b**2 + c*b**4 + s*b**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - (4 + 8 - 10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/168452 and -74\/49437.\nAnswer: 4548204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-5)\/(-1))*1. Let m(i) = 4 - 2*i - 7 - 5 - 510*i**2 + 4. Let j be m(b). Round j to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4816 + 12190 + 4714 = -73*f - 651*f for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -5*i - 46. Let y be 4\/18 + (-106)\/(-9). Let c be i\/y*(1 + -41). Calculate the highest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*k - 9, -4*v = k - 12 + 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 8695?\nAnswer: 139120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 5. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 20*d - 3. Let z(c) = 21*c - 4. Let a(x) = 4*p(x) - 3*z(x). Let u(s) = -3*s + 241*s**2 + 3*s - 242*s**2. Calculate a(u(n)).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 134\/12 + (-2)\/12. Find the second derivative of -3*a + m*a**2 - 11*a + 3*a wrt a.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25742007 and 25742006 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27881494 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1048, -2211, -3388, -4585, -5808, -7063, -8356, -9693?\n\"Answer: -w**3 - w**2 - 1153*w + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1540000 and 98945?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2\/3*p**3 - 75 - 24*p + 11*p**2. Factor r(m).\nAnswer: 2*(m - 1)*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 + 934 + 308 = 37*n - 765 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*p + 13940 + 45943 = 9248 for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193708736\/561 + -345292. Find the common denominator of v and 40\/99.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + (-2 - -7) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(540\/(-165))*-12 - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/9)\/s)\/s)\/s*s)\/s*s**(1\/4)*(s*s*s**(-1))**(31\/4))\/(s**(1\/6)\/s**(-2\/29))**(-4) assuming s is positive.\nAnswer: s**(1522\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.4, -46, 5, 3 in ascending order.\nAnswer: -46, -4\/5, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(18\/24*-1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 449.05 - -0.8\nAnswer: 449.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 236, 216, 180, 122, 36, -84?\n\"Answer: -b**3 - 2*b**2 - 7*b + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 54 + 212)*(-n**2 - 4*n - 3*n**2 + 2*n**2 + 2 + 2*n**2 - 2 + (-2*n - 3 + 3)*(0*n + 2*n - n) + 0*n**2 + 4*n**2 - 3*n**2).\nAnswer: -187*n**2 - 748*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 265020 and 795060.\nAnswer: 795060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-12) + 5\/(-20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823003, 1646013, 2469023?\nAnswer: 3292033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23132 (base 4) to base 8\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-3)*2\/7. Let m = 0.921 - -0.079. Which is the nearest to -1? (a) 2 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 - 73900*r**4 - 73868*r**3 + 517276*r**2 + 73872*r - 443376 = 0 for r.\nAnswer: -18474, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 11*p**2 + 10*p - 15. What is g(12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9856 divided by -352?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 52*x**2 + 0*x**3 + 0*x + 160\/3*x**4 - 85\/8*x**6 - 16\/21*x**7 + 0 - 5\/336*x**8 + 8\/3*x**5. Solve b(r) = 0.\nAnswer: -16, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*s + 53*s + 28*s.\nAnswer: 78*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -419540 rounded to the nearest 1000?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201 and -10.\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1632, -6691, -15190, -27129, -42508, -61327, -83586?\n\"Answer: -1720*f**2 + 101*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 129 = 0. Suppose -22*q + 19*q + r = 0. Calculate the remainder when q is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/(-23) - (15 + -24 - -18)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b - 7. Let u be x(-9). Let d = u + -213\/4. Find the common denominator of 101\/2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167216 and 1624?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-1178)\/57*(-6)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16 - 9 - 6 - 11*u. Let f = -12 - -5. What is the tens digit of o(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -277*y**3\/3 - 524*y - 733. What is the first derivative of c(u) wrt u?\nAnswer: -554*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109998720 divided by 81360.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1085, 1086, 1087?\n\"Answer: s + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212211 - -20?\nAnswer: 220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(1\/7))*g**0\/g)\/((g\/(g*g**10))\/(g*g\/(g*g**0))))**(-34))**(-21) assuming g is positive.\nAnswer: g**7038","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-16*z**2 + 2325*z**4 - 1161*z**4 - 1168*z**4).\nAnswer: -4*z**4 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*s + 1046*s + 373*s = 4208 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3280\/2296*((-4)\/2)\/(24\/(-7)). Let m(y) be the second derivative of 20*y + 17\/2*y**2 + z*y**3 + 0. Differentiate m(k) with respect to k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27360212 divided by -2?\nAnswer: -13680106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 7*c**6\/5 - c**5\/10 - 11*c**4\/4 + 8*c**3\/3 - 199*c**2\/2 + 2*c + 4557. Find the second derivative of x(n) wrt n.\nAnswer: 504*n**2 - 12*n - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5\/7 - 2658*g**4\/7 - 862464*g**3\/7 - 122042304*g**2\/7 - 6590308608*g\/7 - 35331199488\/7 = 0 for g.\nAnswer: -284, -156, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (11 - (4 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.6 (b) 4 (c) 0.042 (d) 1\/10 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -10. Which is the third smallest value? (a) -2 (b) -13 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -427875.16 and 0.4.\nAnswer: -427874.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9114.525 - -0.537713?\nAnswer: -9113.987287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -470 + 434.4. Which is bigger: d or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 24*x. Let g be 3*((-92)\/(-48) + (-2)\/8). Suppose -j - j = 3*c - 1672, g*c - 2796 = -j. Let d(n) = -560*n + c*n - n**2. What is d(t(l))?\nAnswer: -4*l**4 + 96*l**3 - 576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10\/9*b**5 + 4\/9*b**3 + 0*b + 0*b**2 - 2\/3*b**4 + 0 = 0. What is b?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {d: 2, r: 1, l: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**(-2\/15)\/o)\/o*o)\/(o**(-5)*o))\/(((o*o**(2\/21))\/o)\/o*o*o**(-2\/7)))**(-13) assuming o is positive.\nAnswer: o**(-1846\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*y**5 - 21295*y**4 + 8*y**3 - 5679952*y**2 wrt y?\nAnswer: -480*y**2 - 511080*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*sqrt(245)\/sqrt(245))\/(((2*sqrt(252) + sqrt(252) + sqrt(252) + sqrt(252))\/sqrt(12))\/sqrt(3)) + -2).\nAnswer: -2 + 4*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -7\/20*i**5 + 7\/6*i**3 + 0 - i**2 + 1\/6*i**4 + 7*i. Factor p(q).\nAnswer: -(q - 1)*(q + 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 3813*t**2 + 3295*t**5 - 1528*t**5 + 3 + 1652*t**5 wrt t.\nAnswer: 205140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5724966 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616152 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 20 + 26 - 32 - 16285*n.\nAnswer: -16285*n + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -17*k + 850. Calculate the remainder when l(43) is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 15*o**2 - 4*o - 5. Let k be b(9). Let s be k\/(-119) - 8\/(-14). Let w(h) = 6 - 7*h + h - 4*h**2 + 0*h + h**3. Calculate w(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 18*j - 107 + 15*j - 5*j**4 - 49*j + 18*j to the form x*j**3 + w*j + u*j**4 + o + h*j**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -193? (a) 6 (b) -2\/17 (c) 0.402\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*z = 40 + 12, -4*h - 32 = -4*z. Is -12 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/4*(0 - 0). Sort 3, c, 5.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-24)\/9)*42\/63.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z**4 + 2*z)*(956 + 49*z - 956) + (z**2 + 0*z**2 - 5*z**2)*(-3*z**2 + 3*z**2 - z**3).\nAnswer: 102*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11009 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 33*g**2 + 33*g - 1469. Let j be n(25). What is the greatest common factor of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i - 21. Let m be u(-3). Let v(r) = -r**2 - 3*r - 3. Let a(k) = -k**2 + 2*k + 2. Let f(c) = m*a(c) + 2*v(c). Let n(g) = -18*g**2. Give n(f(h)).\nAnswer: -450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 112 = -4*v, 38*s + 2*v + 160 = 64*s - 48 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v + 2*v + (-7*v + 4*v + v)*(-25 - 63 - 15) + 2 + v - 2 - v - 5*v + v.\nAnswer: 204*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4eee58 + 1?\nAnswer: 4eee59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.01665 - 0.01665. Which is the fifth smallest value? (a) t (b) 0.9 (c) 3\/13 (d) 0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 20 = -5*u, -3*u + 20 = -3*t - 4. Does 12 divide (129\/(-15) - 1)*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*b - 187 - 79 = -192*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -1432779?\nAnswer: -1432779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 1183177781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8838 (base 12) to base 15.\nAnswer: -46b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18471757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r. Let s = -548 + 544. Let k(x) = 3*x**2 + 4*x - 3. What is s*a(d) + k(d)?\nAnswer: -d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(350) + sqrt(14))*2)\/(sqrt(10)\/(-1*sqrt(5)) - (sqrt(162) - 2*sqrt(162))))**2 + -3.\nAnswer: 1563\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1612139 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 223?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 41 + 16)*(14 - 2*g + 2*g**3 - 3*g**2 - 14).\nAnswer: 324*g**3 - 486*g**2 - 324*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2523.518 millilitres?\nAnswer: 2.523518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1340 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.84 - -0.16. What is the third biggest value in 1, y, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {h: 4, z: 9, l: 4, f: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-2 - (-5)\/2). Let v = 3.6 + -3.1. What is the third smallest value in f, v, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or 15110?\nAnswer: 15110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1603, -2054, -2505?\n\"Answer: -451*b - 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1488251 and 1457091.\nAnswer: 1457090.8511749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2179, -4323, -6467, -8611, -10755?\nAnswer: -12899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10792 is divided by 5128.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.77 + 0.77. Let s = -35 - n. Let v = 1\/72 - -17\/72. Which is the nearest to 1? (a) s (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-1))\/((-81)\/(-324)*8\/34)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*p**2*y - 2*p**2 - 1045*p*y + 3*p - 66776312*y wrt p?\nAnswer: 8*p*y - 4*p - 1045*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60681 is divided by 440?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:39 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 909.9459ms in days?\nAnswer: 0.00001053178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45945627*h**2*k - 14*h*k + h - 313*k + 346 wrt h.\nAnswer: 91891254*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d - 98. Let o be r(-12). Let t(v) = -v**3 + 13*v**2 + 16*v - 5. Let h be t(14). Calculate the highest common divisor of o and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7888056 a multiple of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 5. Let g = -0.148 + -39.852. Let q = g + 40. What is the third smallest value in q, -2\/3, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585.1137km in nanometers?\nAnswer: 585113700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672140?\nAnswer: 2, 5, 7, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2603 + -2600. Solve 3*f = -4*j - 21, -4*f = -8*f + i*j - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.335 and -0.4.\nAnswer: -2.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1054)\/186*(-42)\/(-357).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28702870 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*t + 5 - 2788*t - 1633*t - 3465*t + 0)*(2*t - 2*t - 2*t**4).\nAnswer: 16056*t**5 - 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2)\/1*1. Let w = h + 20. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-185))\/(1\/1*-1))\/(771 - 765).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 4*u**2 - 3*u**2 - 5*u**2 + 6*u**2 - 2*u**2 + 4 + (2*u + u + 5*u)*(2 - u - 2) + 5*u**2 - 4*u**2 + 3*u**2.\nAnswer: -6*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 543, 1119, 1773, 2499, 3291, 4143?\n\"Answer: -i**3 + 45*i**2 + 448*i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 - -390. What is the greatest common factor of 649 and j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w + 177. What is the tens digit of k(40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**(-44)*(m**(3\/2)\/m*m)\/(m*m**7) assuming m is positive.\nAnswer: m**(163\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92535 is divided by 179.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*c**3 + c**3 - c**2 + c**3 - 2*c**3 to k + j*c**3 + x*c + y*c**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8866118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000118959 to 7 dps.\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 338004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqccqqcmbcqxcccccqc. What is prob of picking 1 b, 1 q, and 1 x?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 20*z - 46. Let b be m(4). Calculate the greatest common divisor of 1088 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578397?\nAnswer: 3, 192799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*u - 337 = -361, 3*p + u + 6*u = 4*u - 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 + 7*d - 4. Let n be r(5). Calculate the greatest common factor of n and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2099*m*w**2 + 19*m*w + 129*m - 7*w**2 wrt w.\nAnswer: 4198*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401414720 to the nearest integer?\nAnswer: 20035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182*x + 50896 + 47254 = -155*x + 936*x for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 - 2*p**4 + 2*p**3 + 1 + 167*p + p**2 - 166*p to s*p**4 + n + z*p**3 + u*p + k*p**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-10192)\/(-64) + (-2)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -2*a + 85. Let l = -7456 - -7473. Let p = a + l. Solve 5*j + 2*z + 33 = p, -14 = 5*z + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -5*q + a, -5*q + 5*a + 146 = -79. Let p = -257 - -286. What is the remainder when q is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4614854 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/3*(-6)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 - -3?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.1. Let v = 50.4 - -40.1. Let h = v - 91. Sort -2\/9, 0, h, c.\nAnswer: h, -2\/9, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 8 (b) -2\/3 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 5*o**3 + 1 + 93*o**3 + 2*o.\nAnswer: 88*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 157 + 1393. What is the common denominator of (r\/(-8))\/(15\/(-4)) and 53\/(-20) - (-2)\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(10*q - 47 + 0*q - 12*q).\nAnswer: -2*q - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 7*o - 9. Let d be j(-8). Let w be 6*(1 - (1 + d)). Let u be 4\/w*(0 - -60). Calculate the highest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, 0.1, -24, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - z. Suppose 1 = 6*f - 5*f. Let m be b(f). Let g be 39\/18 + (m - 3). What is the smallest value in 0.3, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 212 = -216, 5*c - 19 = -4*d. Solve 1 = i + c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -112, -202, -312, -448, -616, -822, -1072?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 1. Let j(g) = -8*g**2 - g + 2 - g**3 + 22*g**2 - 14*g**2. Suppose 0 = 10*r - 3 - 7. Give r*j(v) + 2*b(v).\nAnswer: -3*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 894228 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01047 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 177 - f**3 + 177 - 7*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110186 and 4292?\nAnswer: 6390788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -13. Let c = -20 - -12. Let p = c + i. Which is smaller: -8 or p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.07 + -0.07. Let j = -32 + 40. Suppose -5*i + j + 2 = 0. Sort 1, s, i in increasing order.\nAnswer: 1, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/5 - 18*f**3\/5 - 54*f**2\/5 - 62*f\/5 - 24\/5 = 0.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {s: 2, w: 2, z: 2, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648162169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-109 - -73 - -45) + (-4 - 28).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -64918 (base 13) to base 9\nAnswer: -306214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygyyyyygyyyyyyyggg. Give prob of picking 2 y and 1 g.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*u - 72. Suppose 20*x - 2*x + u = 0. Let c(t) = t - 1. Calculate c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27662, -108994, -244552, -434336, -678346, -976582, -1329044?\n\"Answer: -27113*n**2 + 7*n - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35891 - -35891. Let -34\/5*i**3 + t - 6\/5*i**4 - 42\/5*i**2 + 18\/5*i = 0. Calculate i.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15402 and 11832.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from memcmcmmcmc. Give prob of sequence mcm.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 2, 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 121220010 (base 3) to base 8\nAnswer: 30033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 1425329.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*w = 6, 5*w = 15 - 0. Let c(t) = 3 + t - 19*t**3 + 5*t + 1 + 20*t**3 - 6*t**2 - 2*t. Let f be c(r). Sort f, -3, -6.\nAnswer: -6, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**6\/120 + 7*k**5\/60 - 5*k**4\/24 + 4*k**2. What is h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7708, 15457, 23216, 30985, 38764, 46553, 54352?\nAnswer: 62161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + 0.5. Let y = -5145.460002 - -5142.46. Let g = y + r. What is g rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 - 7*m - 8. List the prime factors of f(-3).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*j + 74*j - 31*j + 109*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 56. Let t = h - -124. Let b = t - 15. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194*x + 2 + 9*x**3 - 9*x**3 - 47*x**5 - 480*x**5 wrt x.\nAnswer: -10540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12193130576143 plus -0.5?\nAnswer: -12193130576143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*q - 41. Suppose -11*s + 4*s + 14 = 0. Is (126\/q)\/(s\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 500 - -7?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (5 - 3) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -10. Let c = p - 8. Let y = -5.8 + c. What is y rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 5:55 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 21349*g + 234844. Determine j(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11151 - -3775?\nAnswer: -8487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:53 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.1278km in millimeters?\nAnswer: 475127800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**2*x**6 + 26*t**2*x**3 - 33*t**2*x - 7*t*x**2 + 5*x**3 + 1 wrt x.\nAnswer: 240*t**2*x**3 + 156*t**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23055, -23059, -23065, -23073, -23083?\nAnswer: -23095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -5) + (3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 490*d**2 + 9805*d + 112360 = 0. Calculate d.\nAnswer: -8, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*g - 34, 4*t - 46 = g - 45 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 15) to base 10\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-16)\/3 + -11 + 0. Solve 3*m - 12 = -j*x + 13, 5*m + 15 = 3*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 35*n - 297. Let t be h(7). Sort t, 1, 5, -14 in decreasing order.\nAnswer: 5, 1, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 225291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468926.\nAnswer: 2, 3, 79, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 498505859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-1) + -649 + 634\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 - 4*s**3 - 4*s + 53*s**2 - 12*s**2 + 22*s**2 + 99 - s**2 - 152*s = 0.\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from gfkfggkfdkdfgvfdy?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 6*h + 0*h + (-3*h + 6*h - h)*(1 + 0 + 1) + 0*h + 2*h - h)*(17 - 6 + 1).\nAnswer: 120*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 165. Suppose 11 = 3*g - 3*n - 34, -78 = -4*g - 5*n. Calculate the remainder when x is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/4*-2 + 172\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9318313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1546, 124, -1298, -2720?\n\"Answer: -1422*b + 2968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259 + -258.916. What is q rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + -3*sqrt(48) + sqrt(48))**2 - sqrt(3)) + -1*(sqrt(18)\/sqrt(6))**2.\nAnswer: -sqrt(3) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*x**2 - 3387*x**2 + 695*x**2 + 572*x**2.\nAnswer: -2312*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 6 = 5*w. Let i(q) = 5*q**2 - 4. What is the remainder when i(-4) is divided by (-84)\/48*-2*(4 + w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7489546 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3372 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 8. Give g(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5\/4, -4, -5, -26?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*v - g - 6, 2*g = -10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/5 (b) -4 (c) -0.21 (d) -1\/2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 9 - 306 = 0. Let p be (-2 + 3)*76 + 1 + -3. Let s = m + p. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 5*d + 4*d)*(-d - 3*d + 6*d) - 2*d**2 + 3*d**2 - 2*d**2 - 11*d**2 + 25 - 25 to w*d**2 + v*d + i and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0672 times 464787?\nAnswer: -31233.6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let w = -7.7 + 8. Which is the second smallest value? (a) w (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214*u**5 - 43426*u**4 - 2*u**2 + 1530832*u + 5 wrt u.\nAnswer: 12840*u**2 - 1042224*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 16 - 8*w - 8 + w**2 + w. Let z(r) be the third derivative of -r**4\/24 + 9*r**3\/2 - 9*r**2. Let a be z(21). Give b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 7967*h**2 + 663936*h - 13905612.\nAnswer: (h - 7883)*(h - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49460*h + 24735*h + 13*h**3 + 24725*h.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -101. What is the hundreds digit of -2*((-1191)\/d + -5 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 2*y + 5. Let a(w) = -4*w**2 - 5*w + 1. Let s(n) = 2*n**2 + 2*n. Let p(z) = -3*a(z) - 7*s(z). Calculate -5*j(b) - 8*p(b).\nAnswer: b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = y - 650. What is the smallest common multiple of 16 and y?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4 = -4. Suppose -2*t - 30 = -s*t. What are the prime factors of t\/((-207)\/66 - -3)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h - 4*g = -2, 5*h + 5 = 5*g. Let t = h - 4. Sort -4, 5, -5, t in decreasing order.\nAnswer: 5, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 6, j: 8, i: 3, k: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 781767989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1187 - 1191 = 0, 5*c = -4*a + 257. Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -2*r**2 + 0*r**3 + 0*r**7 + 0*r**6 + 0*r + 5\/336*r**8 + 0 + 0*r**4 - 7\/60*r**5. What is the third derivative of t(i) wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 1578*s\/7 + 1435320\/7.\nAnswer: -2*(s - 540)*(s + 1329)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6814*j = 6809*j + 22, 5*s - 2*j = -43 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*p + 3, 0 = -2*k - 2*p - 12. Let i be (k\/3)\/(4\/(-18)). Suppose i*u - 8 = -2. Solve -c - u = 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4521)\/(-6))\/(8\/16). Let o = 912 - f. What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c*k*p**2 + 391*c - 1326*k*p**2 - 17*k*p wrt p?\nAnswer: 8*c*k - 2652*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1740 = -116*q + 673 - 789 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 1135671?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 - 375274*y\/5.\nAnswer: 2*y*(y - 187637)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 4*n + 36, -3*n + 55 - 64 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.06, 0.4, 2, -1\/7, 19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8\/9)*m*m**(2\/3)*(m\/(m\/(m*m\/m**0)))**(4\/25) assuming m is positive.\nAnswer: m**(247\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45626*n**2 + 5*n - 5*n - 45583*n**2 to b*n + o*n**2 + f and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - 12125\/(-291))\/(1*2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*g - 4*i - 729, 2*i = -4. Suppose 0*k + 231 = 3*a - 3*k, -g = -3*a + 5*k. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - ((-2)\/2 + 8). What is the common denominator of 10\/14 - 1 - (-755055)\/62475 and (-390)\/(-99) - 3\/h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -473c9?\nAnswer: 473c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-9 - (-5 + 15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 978187, 978186, 978185, 978184, 978183?\n\"Answer: -z + 978188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4202*s**2 - 2287*s**2 - 2383*s**2)*(-4*s + 0*s + 2*s + 2).\nAnswer: 936*s**3 - 936*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.081 and -0.8?\nAnswer: 0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 10*x + 4. Let d(h) = -2*h**2 + 22*h - 22. Let z be d(8). Let w(b) = b**3 - 17*b**2 - 43*b - 17. Let g(j) = z*u(j) + 6*w(j). Determine g(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 9. Suppose -4*i - y = -45. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17052 + z**3 + 17047 - 13*z**2 - z + 64*z**2 to o*z + k + u*z**3 + f*z**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -425 greater than -395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71297, 142594, 213893, 285194, 356497, 427802, 499109?\nAnswer: 570418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551132.\nAnswer: 2, 211, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 + 114*a + 213. Calculate y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20178 and 8721.\nAnswer: 1029078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -196590, -786347, -1769272, -3145359, -4914602?\n\"Answer: n**3 - 196590*n**2 + 6*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/21 (b) 0 (c) 14 (d) -5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1588 divided by -22\nAnswer: 794\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 0)*-3*-3*3 + 4*(3*sqrt(112))**2 + ((sqrt(112)*2*1)**2 - sqrt(112)).\nAnswer: 104*sqrt(7) + 4480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 8. Let a be q(-5). Suppose -110 = 2*u - a*u + 5*w, -u + 2*w + 21 = 0. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven thirds of a decade in months?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8693486 by -4346743.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8*g + 4*g + 0*g)*(-8 + 1 + 3*g - 4*g + (g - 3*g + 0*g)*(2 - 5 + 1) + 7 - 7 + 6*g).\nAnswer: -36*g**2 + 19*g + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3, -34226 in descending order.\nAnswer: -3, -4, -5, -34226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03829 less than -81?\nAnswer: -80.96171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(21)\/(sqrt(3) + sqrt(3) + sqrt(12)) - sqrt(7))*6.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 + 38663. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) 3 (c) -0.02 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + t = 24, 5*t - 25 + 5 = 0. Is (o + -122)*1\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/9*-1*(-3)\/63*-3*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -19*f**2 - 9*f - 21. Calculate o(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/10736 and -67\/1342?\nAnswer: 10736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11636 is divided by 314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12292 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/(-25)*(-5 + 0). Sort 5, g, 1, -1\/2 in decreasing order.\nAnswer: 5, 1, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 288*r + 299. Calculate w(97).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216664\/4360363)\/(0 - (-2)\/(-14)).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y = 91*y - 50310. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - 0 - 4) + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (664\/(-498))\/((-4)\/21291).\nAnswer: 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(325) + (sqrt(325) - (sqrt(325)*-1*-6 + sqrt(325))) - sqrt(325)) + -4)**2*-3.\nAnswer: -35103 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) 1\/2 (c) -3\/7 (d) -5900\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-84) - (-1)\/(7\/80). Suppose 9*b = b + 88. What is the greatest common factor of b and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560916 by 1.\nAnswer: 560916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 935*y + 2809. What is c(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(24) + sqrt(72)\/sqrt(3)))\/sqrt(12).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/(-2))\/(1\/(-112)). Suppose -108*a + c = -104*a. Suppose y = -5*b + 121, 5*b + 3*y - 25 = a. What is the greatest common divisor of b and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (40 + (-189 - -26))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4676 + 6194. Calculate the highest common divisor of 138 and k.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (12 - 23) - (-2 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6720420.\nAnswer: 2, 3, 5, 7, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -11, 54.\nAnswer: -11, 1\/3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147243048?\nAnswer: 2, 3, 293, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 12:39 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-600))\/(15\/(6600\/902))\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/1975 + 152723\/106650. Calculate the common denominator of u and (465\/(-75) - -9)\/(486\/(-45)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 23 + 37*t + 31.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -91.3 (c) 1 (d) 88\/149 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-108)\/(-84) + (-4)\/14. Which is the nearest to -1\/4? (a) 0.2 (b) q (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13120 + 65604\/5. Find p such that 0*p**4 + 2\/5*p - m*p**3 + 0*p**2 + 0 + 2\/5*p**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230784 + 230656 - n - 4*n - 3 + 3 - n + 2*n + n - 4*n + (1 + 3 - 6)*(0*n + n - 3*n) + 5*n + 0*n - 4*n to o*n + s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1988 or 1987?\nAnswer: 1988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 389, -3, -2, 5 in descending order.\nAnswer: 389, 58, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 1, r: 1, j: 2, m: 1, x: 7}. What is prob of sequence jjr?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137 and 31921.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(12*b + 28*b + b)*(-1 + 3 - 3).\nAnswer: -82*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 408.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0 + 1 + 4*o - 5*o. Suppose -7*h - 4 - 3 = 0. Let i(l) = 6*l - 15. Let n(r) = h*i(r) - 5*x(r). Give n(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -687755*k. Let o(z) = -z**2. Give g(o(v)).\nAnswer: 687755*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 42. Let w(l) = -l**2 + 8*l - 7. Let d be w(6). Suppose 0 = -5*p - k*q + 358, 283 = -3*p + 7*p + d*q. Is 36 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1285\/(-220) + 2 + 6. Let l = 21\/11 - x. Sort l, 5, 2, -5.\nAnswer: -5, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 41 + 90 = -200 + 6 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/50*(5425\/(-62))\/35.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((247\/(-399))\/(-13))\/((-4)\/(-14))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*q + 16 = 0, 2 - 20 = -4*b + q. Suppose 467 - 22 = b*x. Suppose 4*p - 4*t = x - 29, 0 = 5*p + t - 75. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3 + -1)\/2)\/(-1). Let p(w) = w**2 + w - 1 + 0 + 1 + 1. What is the units digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 2*u**2 - u + 3. Let k be d(-3). Let m(y) = -1. Let a(r) = 4*r. Let c(z) = -a(z) + 4*m(z). What is c(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47910154 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1161 - 1165. Which is the fourth smallest value? (a) 0.2 (b) 1.6 (c) -1\/6 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(272))**2.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 19 - 68 = -4*j, -95 = -5*j - 5*u. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**2 + 43*t**2 - 6*t**3 - 23*t**3.\nAnswer: -29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 540 + -188. Is y not equal to 352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.43742 - 279.37258. Let q = 310.7 - 32.7. Let f = q + g. What is f rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = -7*x - 63 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/14 + ((-214650)\/189)\/(-25). Which is greater: 61 or t?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21850805 divided by 5\nAnswer: -4370161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 453672 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -447\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 + 150. Suppose g - 12 = -u + 4*g, 0 = -g - 3. Determine y so that -y**4 + 1\/3 + 2\/3*y**t - 4\/3*y + 4\/3*y**u = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/8 - 5\/((-80)\/132). Let o(d) = 8*d**3 + 9*d**2 + 9*d. Let i(c) be the second derivative of c**5\/10 + c**4\/6 + c**3\/3 + 4*c. Calculate u*i(r) - 2*o(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 4*i**3 - 6*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r - 6 = 0. Solve a = r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 964 and -97193.7?\nAnswer: -93694726.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90174 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642004*h + 642004*h - 19*h**3.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*t - 9 = 0, -2*c - 2*t + t = -1. Suppose c - 29 = -14*a. Is (-1050)\/(-20)*(0 + a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 3. Let t be y(4). Let n = 26 + -3. Let g = 22.9 - n. Which is the closest to g? (a) 1\/5 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14929656 divided by 14\nAnswer: -1066404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 53346 divided by 17\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313*l**3*u**3 + 2*l**3*u + 3*l**3 - 2*l**2*u**3 - 25*l*u wrt u?\nAnswer: 1878*l**3*u - 12*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/231, -0.004, 2\/29, 1.22 in increasing order.\nAnswer: -0.004, 2\/231, 2\/29, 1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 151 - 43?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from kzzc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((-44)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*q = -47*q - 538. Let u = q + -260. Solve 2*d - u - 1 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + d03?\nAnswer: cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 7*d**2 - 4*d + 11. Let x be r(-6). Let v be (4 - -14)\/(-6) + x + -1. Let s = -35 - -39. Sort -3, s, v in descending order.\nAnswer: s, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80851140193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -501 (base 10) to base 2\nAnswer: -111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (6 - -2 - 0) - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(-18) - -1)*(10 + (-45)\/18).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:38 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 38. Let a = 29 + r. What is the smallest value in -1, -3\/2, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*(8 + -4). Let p(s) = 2*s**2 + 3*s + 1. Let d be p(m). What are the prime factors of 2\/(-6)*d*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14309290 and 1705?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*1)\/(-55*(-87)\/19140).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 4*y**2 - y - 5. Let m be o(-6). Suppose 5*q = -3*w - m, 0 = 2*q + w - 6*w + 171. Let k = q + 186. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-70))\/(42\/49)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 14. Let w be z(11). Suppose 0*b = -w*b. Let o = 6 - 2. Solve b*d + 20 = -o*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 130*m**3 - 480*m**2 - 1330*m - 725.\nAnswer: 5*(m - 5)*(m + 1)**2*(m + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Suppose -80 = -j*m + 3*t, 0 = -2*m - 4*t + 2*t + 54. Calculate the common denominator of (-1)\/2*3*-1 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + -1*(5 + (sqrt(300) + 0 - sqrt(6)\/sqrt(2)*-1*-6))))**2.\nAnswer: 288*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 316 + -308. Let g = 15 - 1. What is the lowest common multiple of g and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3*j + 1. Let r be q(4). Suppose 0 = -9*g + 641 - 623. Solve -3*u + 3*n = g*u, 3*u - r*n = 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 601, 858, 1061, 1192, 1233?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15918883 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*i - 146, -3*i - 5*n = 64 + 130. Let v = -750\/11 - i. Which is the closest to 1? (a) v (b) 0.4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 12624.\nAnswer: 12624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 265*z - 5815. What is r(-20)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 26*p - 30. Let t be r(-27). Let u(b) = -4*b**2 - 3. Let l(o) = -9*o**2 - 7. Let m(a) = t*l(a) + 7*u(a). Let x(w) = 2*w + 6. Determine m(x(j)).\nAnswer: -4*j**2 - 24*j - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 183 * -1\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5253 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*g)*(285982*g**2 - 1090*g**3 - 285982*g**2) + (-g - 2*g + 4*g)*(5*g**2 - 5*g**2 + g**3).\nAnswer: 5451*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1356096 and 1\/742624.\nAnswer: 31190208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 38*d**2 - 6*d + 48. Let j(o) = -5*o**2 + o + 1. What is -6*j(r) - p(r)?\nAnswer: -8*r**2 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/13)\/(39\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*f - 16, 5*r + 92*f - 40 = 91*f. Put -5, -3, r, 2 in descending order.\nAnswer: r, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (100 + -101)\/(((-4)\/70)\/(-2)). Let n = -96 + 139. Let i = w + n. What is the greatest common factor of i and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from bjxxbxg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2253*m**3 - 2286*m**3 - 2.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56719265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4482986 millennia to months.\nAnswer: 5379.5832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2. Let g be 4 - (-2 + (-2 - -3)). Let w(v) = -2*v + 0*v + g*v + 0*v. Calculate o(w(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 19. Let a be g(-19). Let z be (5 + -1)*(-10)\/(-60). What is the nearest to a in 2, -1\/8, z?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 21050 = -19534. Let u = 3906 - r. What is u rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -422.2 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 14*k - 12. Let g be 6\/(-4)*(0 - 2). Let h be (-4)\/g*6\/(-4). Solve h*t = -k*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 258*d - 252*d + 11, -2*d + 1 = -m + 2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 158, 131, 102, 71, 38?\n\"Answer: -p**2 - 24*p + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3123*l - 3132*l - 3 - 6. Is w(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -73, -123, -211, -349, -549, -823, -1183?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(84)\/(sqrt(12) + sqrt(192) + sqrt(12) + sqrt(12))))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 162*n - 165*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(-5 + (sqrt(1053) - (sqrt(1053) + 1)))**2 + 3.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 32. Solve 9 = -4*v + 3*q, -5*v + r = 5*q - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/(-665) - (-214 - (-573588)\/2679).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106069\/96096 - -3\/2464. Find the common denominator of (-12)\/(-22) + (-1011)\/(-264) and p.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*g - 0*g - 353, -352 = 2*g - 2*d. Let l = 477 + g. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-18))\/(((-4)\/(-3))\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 28*j**3 + 59.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzqd when four letters picked without replacement from {m: 4, q: 3, a: 1, z: 5, d: 3, y: 1}?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 10. What is the least common multiple of 51\/5 - o\/25 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*z = -3*a - 15, 4*z = a - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 27. Let p be (-652)\/44 - (-2)\/(-11). Is l\/5 - 3036\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4\/5, 5\/1524, 1\/166 in decreasing order.\nAnswer: 4\/5, 1\/166, 5\/1524, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {s: 2, f: 1, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-175) + 24\/200*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42199530?\nAnswer: 2, 3, 5, 1406651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -2 + sqrt(1872))*-2*6)**2 + (-1 + sqrt(1872) + 3)*6.\nAnswer: -13752*sqrt(13) + 1078860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -235. Let a be (1\/2)\/(1\/(-422)). Let y = i - a. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*t + 59075 - 59735 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13642, -54562, -122762, -218242, -341002?\nAnswer: -491042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 - 3)*(1 - 1 - 1) + (-4 + 5 - 2)*(3 - 1 - 1))*(3*o - 5*o + 0*o)*(-1 - 5 + 3).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1356 + 1357. Put 3, -7, 10, p, -2 in increasing order.\nAnswer: -7, -2, p, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, c: 3}. Give prob of picking 4 a.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 47. What is the remainder when 78 is divided by n(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o*o**1)))**40)**17\/((o**2)**(1\/26)\/((o**(1\/3)*o)\/o*o*o**(-2\/5))) assuming o is positive.\nAnswer: o**(397967\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 9505 and 9499 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-17 + 12 - (0 + -13 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(931) - sqrt(931)*-2)**2 - 6*(0 + sqrt(931))).\nAnswer: -42*sqrt(19) + 8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -381900 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 196201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*s = 2*p + 151*s - 14233, -5*p = -5*s - 35495. List the prime factors of p.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3 = -4*h + 42, 4*h - 23 = i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + z**2 - z**2 + (8*z**3 + 6*z**3 + 2*z**3)*(0*z**2 + z**2 + z**2).\nAnswer: 31*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/5 + 9*z\/5 - 4\/5 = 0.\nAnswer: 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 40. Let c = u + -8. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.20863 minus 0.88?\nAnswer: 111.32863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 8. Let d = -4 + 6. Calculate the remainder when v(-4) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*n - 31*n - 11*n + 24*n to the form b + a*n and give a.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 612?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c**3 - 16584*c**2 - 1285392*c - 2232576 = 0 for c.\nAnswer: -68, -16\/9, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 + 1)\/(10 + -8). Let f = -3 + 18. What is the third derivative of -r*k**3 - 9*k**2 + 0*k**2 + f*k**2 wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 37 - 7*x + 41 - 80. Let i(w) be the second derivative of w**3 + w**2 - w. Give -5*i(q) - 4*j(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 21\/16, 130.5, -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 2*d**2 - 2*d - 2. Let t(x) = -x + 1. Let a be t(3). Let l be w(a). Let i(g) = 6*g + 2. What is the lowest common multiple of i(l) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2679355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 11 = -361 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*6\/(-27)*3. Is (-1)\/m - 65\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/((-11040)\/(-5328))*(-34)\/(-51)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.68, 14, -2\/15, 4, -4, -1, 32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(88\/5))\/(3510\/(-67392))\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012.4339 rounded to the nearest ten?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q - 8 = 84*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 take away -24?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5 = d, -16*d + x + 172 = -0*x + 2*x for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -74. Suppose 4*n + x - 2*x = 56, h*n = -3*x + 87. What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78324 divided by -1\nAnswer: -78324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5814 and 215764.\nAnswer: 1941876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c + 10*c - 49560. Is c a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q, -4*g + q + 1068 = 3*q. Let b be g\/6 + (-7)\/(-14). Let i = -36 + b. Calculate the least common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 12. Suppose 81 = -2*j + g, 5*j - 3*g = 2*g - 205. Let l = j - -29. List the prime factors of k(l).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 2580?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54661937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23312 (base 4) in base 13?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 5. Let q = 4 + o. Suppose -5*z + 121 = q. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Find the second derivative of q*u - 3*u**3 + 3*u**3 + u**3 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6466 at least as big as -6466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 5) + (-4 - -271 - 4). Let w = z - 254. Calculate the greatest common factor of w and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1648\/6592*(-24)\/501?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1382 = -46*v + 60*v - 1088 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1300) - (sqrt(1300) + -2))**2 + 3)*6 + -3)*4 + -2 + 2.\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2\/(-27 - -5)*24.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37306, -36984, -36446, -35692, -34722, -33536?\n\"Answer: 108*s**2 - 2*s - 37412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/2)*s)**(-8\/7)*(s*(s\/(s*s*s\/(s\/(s\/((s\/(s**(-8)*s*s))\/s)))*s*s))\/s)\/s*s**(-1\/4) assuming s is positive.\nAnswer: s**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 14*w = -5. Let d = 24 - 10. Solve 3*q + 4 = -w*f - 12, f = 3*q - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from yyaaaay?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + u)*(-u**2 + u**2 + u**2) - u**3 + 4*u**3 - 2*u**3 - 270 - u**3 + 270 + 23*u.\nAnswer: u**3 + 23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5 + 3)*-7)\/(-1 - 1). Let h be ((-6)\/(-21) + 2\/i)\/(-1). Let q = 30 + -125\/4. Is h at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 0 + 0 - 4*v + 2*v + 3*v + (4*v - 2*v + 4*v)*(5 - 4 - 2) + 182 - 182 + 15*v as x*v + t and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 16*i**2 - i + 1. What is the remainder when n(1) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -26*f**3 - 3478*f**2 - 6000*f + 9504 = 0?\nAnswer: -132, -36\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 3*k + 1. Let r(q) = 2*q + 2. Let d be r(1). Let w be t(d). Suppose -i + w + 11 = 0. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2448 = -904*r + 916*r. Calculate the remainder when r is divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from yohhhohhyhohyoyy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 3*i + 2. Let j(x) = 6*x - 4003. Give -j(a) + 2*k(a).\nAnswer: 2*a**2 + 4007","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-45)\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4623*o**3 - 14671*o**3 - 13778*o**3.\nAnswer: -23826*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -280*i**2*n - 25*n wrt i.\nAnswer: -560*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o + 84. Let r be q(-9). Factor 42 - 16*t**3 + 183*t - 20*t**2 + 4*t**r + 101*t**2 - 24*t**2.\nAnswer: -3*(t - 7)*(t + 2)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 0.4, -0.9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 10*v + 4. What is k(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-9 - (0 + 14 + -10 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27895 is divided by 1631.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + 41. What is the smallest common multiple of c and 12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-8))\/(6\/1)*(-6)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12857, -52174, -117955, -210200?\nAnswer: -328909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 14*p + 7. What is the remainder when n(8) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*r - 2*s, -4*r + 4*s = 43 - 55 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(429\/(-910))*-63*(-3)\/270?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 divided by -3677910?\nAnswer: -19\/245194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74604)\/68387 - 1376\/(-11)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2*w - 729 + 735, -n - 8*w + 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3 and (-363)\/(-70) - (-6)\/(-21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 0.1. Let h be (22\/(-55))\/((-27)\/5). Let x = -4.73 + 4.93. Which is the closest to v? (a) h (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z + 11*z - 938 = -1115. What is the smallest value in z, -0.3, -6, 1.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4321 - 4211. What is the smallest common multiple of c and (0 + 10\/(-6))*-6?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*w**9*w**4*w**8*w assuming w is positive.\nAnswer: w**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - 32295?\nAnswer: -32277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.597 - 0.087. Let d = 18954.5 + -18955.0099977. Let q = f + d. What is q rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2*i + 2*i)*(-i**3 + 0*i**3 - i**3) + 7*i**5 + 11*i**5 - 4*i**5.\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33752115 divided by 4881.\nAnswer: -6915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14160 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4826*-0.2.\nAnswer: -0.09652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 1008\/269?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 46. Suppose 11*q + 12 = p*q. Sort 4, -2, q.\nAnswer: -2, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 29*x**3\/3 + x**2\/2 + 2*x + 1167. Let a = -3 + 1. What are the prime factors of l(a)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 63, -0.4 in increasing order.\nAnswer: -0.6, -0.4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4, 14 = 2*v + 20556*p - 20552*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 47040000 = 4*b. Round b to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 9*a + 2*a - 5*a as o + l*a and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 0.1. Let d be ((-4)\/((-4)\/2))\/3. Suppose 0 = -2*b + 4*b - 8. Put a, b, d in ascending order.\nAnswer: d, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 8*d**4\/9 - 28826*d**3\/9 - 13833454*d**2\/9 - 525123602*d\/3 - 301632058 = 0.\nAnswer: -219, -7\/4, 4043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -11. Let i be (-3)\/c - 550\/(-8). Let n = 129 - i. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/26882 and 13\/8?\nAnswer: 107528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 323900, 323898, 323896, 323894?\n\"Answer: -2*t + 323902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - m**2 - m. Let j be o(-1). Let c = -2 - j. Calculate the remainder when 86\/4 - (-2)\/c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7440 + 7436. Which is the fourth smallest value? (a) -43 (b) -2 (c) r (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 14*v**3\/11 - 603228*v**2\/11 + 6497842752*v\/11 + 1856575744\/11 = 0.\nAnswer: -2\/7, 21544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1507*g**3*s**2 - 6*g**2 + 38*s**2 - 1 wrt g?\nAnswer: 9042*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzxx when four letters picked without replacement from {b: 1, d: 1, z: 2, x: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + -1475041?\nAnswer: -1475003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 241854 and 16?\nAnswer: 1934832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 - 593*c**2 - 360*c + 32046. What is x(198)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 26 = -86. Let b be (-276)\/n - 2\/(-5). Let v = 105 + b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11454055 divided by 19.\nAnswer: -602845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165096799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*i - w = 812*i + 44, 4*i - 24 = w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 3*i + 0 + i**3 + 1\/12*i**4 - 2*i**2. Is n(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5\/3, 1, -2087204, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/15 - 18*k**2\/5 + 52*k\/15 = 0. What is k?\nAnswer: 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000032979111 to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -48*p - 13997. Let b(c) = -14*c - 4665. Give 7*b(u) - 2*s(u).\nAnswer: -2*u - 4661","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -415664333 + 0?\nAnswer: -415664333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.320747 * -0.25.\nAnswer: 0.08018675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1998657 * 0.4\nAnswer: -799462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32793981\/7 or -4684855?\nAnswer: -32793981\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.22 >= -0.079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*x = -14, 2*x - 34 = -3*k - 47 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 21111?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353, 704, 1055?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-205)\/123)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 - -152. Suppose 3*v - 4*f = 997, l*f + 666 = -5*v + 7*v. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 9, t: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.61*5966.\nAnswer: 9605.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 165*y + 1251. Calculate m(8).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852387 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28289083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 4:05 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**2 - 110*r + 4. Let m(y) = -8*y**2 - 332*y + 14. What is -2*m(a) + 7*p(a)?\nAnswer: -5*a**2 - 106*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/12)\/(2\/6). Solve l*i - 11 = 4*b + 2*i, 2*b = -i + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(121)*3)\/(3*sqrt(539)).\nAnswer: 4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 1341593*p**2 - 1799882510345*p\/2 - 7199444179684.\nAnswer: -(p + 8)*(p + 1341589)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000054486 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3232, -12, -4, 1 in ascending order.\nAnswer: -12, -4, 1, 3232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 121986*l - 1240048683.\nAnswer: -3*(l - 20331)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5.939, 3, -441?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/67968 and 79\/2688?\nAnswer: 475776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 6. Let l be o(-3). Suppose 3400 = l*b - 2*b. Suppose 0 = -4*a - n + b, -5*n = 3*a + a - 340. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24446201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from zhohzzhhhzhoh?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20*679459.34\nAnswer: 13589186.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 23. Let a be l(-7). Let b(x) = x + 1. Let g(v) = 9*v - 10. Let s(q) = a*b(q) + g(q). Differentiate s(u) wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 115?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4548*o - 4860*o - 3744 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.011 + 0.071. Let a = 0.14 + u. Let y be 2 + -2 + 1 - 4. Is a at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34315 >= -297\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9862701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10951735 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19382 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-21)*260988\/(-13384)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -5. Let j = 17 + -22. Which is the nearest to -2\/5? (a) j (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 105*w - 968 = 418 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/13 - 20576*b**3\/13 + 10966710*b**2\/13 - 21871684*b\/13 + 10925552\/13 = 0.\nAnswer: -10796, 1, 506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x - 2*j - 262 = 0, j = 2*x + 103. Let d = x - -262\/5. Which is greater: d or 9\/13?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b**2 + 63*b**2 + 12*b**2 + 2*b + 39*b**2 + 17*b**2 to the form g*b + k + d*b**2 and give d.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 23*r**2 - 25*r + 69. Let o be d(22). Suppose -a - 4*l = -26, 0*a - a - 3*l = -23. Suppose a*n = 10*n. Sort n, o, 6 in decreasing order.\nAnswer: 6, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0301238 years in months?\nAnswer: 0.3614856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11. Which is the closest to o? (a) -0.4 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (5 - 3) + 96023. Let s = p + 13265. Suppose -y + s - 24290 = 0. What is y rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 + -253.117. What is o rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62\/19 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13275 (base 9) in base 4?\nAnswer: 2030102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59937 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9245 at most as big as -92463\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -u + 5*u. Let m be 46\/11 + u\/44. Find the second derivative of 4*a - a**5 - 4*a**4 + 4*a**m + 4*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*q + 642, -3*m + 2*q - 713 = -92. Let c be (22 - 15) + m\/29. Let p = 1 + -1. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 17*l + 12. What is f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-3))\/(95\/38). Let r(l) = -l**3 + 27*l**2 - 36*l + 259. Let x be r(26). Let i = -2\/65 + -181\/455. What is the closest to m in 1\/6, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - 1010?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -2*b**3 - b. Let t(z) be the second derivative of z**3\/3 - 62*z. What is k(t(r))?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**3 + 18*v**2 + 49*v + 153. Give k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169137.\nAnswer: 3, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -7. Let f be (-95)\/(-30) - (56\/7)\/48. Solve -f*o + 6 = 5*m, 0 = 2*m - 4*o + g - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -826070 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 44*o**2. Let r = 206 - 200. Let u(q) = 2*q + 16*q - 18*q - r*q**2. Give u(m(a)).\nAnswer: -11616*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 4:20 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65806 divided by 151?\nAnswer: 65806\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 3124.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1651015*3\/(-30) - 9\/6. What is y rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {i: 15, c: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 = -473*z + 113 + 352 + 865 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*c + 75*c - 38*c - 15*c**2 in the form v + j*c**2 + r*c and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-6))\/((-17460)\/970*3\/60)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/64 and -31\/3312.\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1432121 and 4.7.\nAnswer: 6730968.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 times 2827487?\nAnswer: -1032032755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -984985003*d**4 + 74266629*d**2 + 6*d wrt d.\nAnswer: -23639640072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x + 16 = 86*x. Let z be 618\/36 - (-2)\/(-12). Sort x, 1, z.\nAnswer: x, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*i - 217310 - 234886 = -350*i. What is the remainder when i is divided by 80?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:05 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -14*n + t + 600359, t = -4*n + 480298. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12741768877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 58*r - 2150148. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 divided by -3?\nAnswer: 970\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17541607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*t = 300*t + 1125*t + 1773*t + 88996 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4967393 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18426, 38698, 58970, 79242, 99514?\nAnswer: 119786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g + 33. Calculate the remainder when (-3)\/((-3)\/g)*1 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 + 56*o + 27*o + o**2 - 28*o.\nAnswer: -3*o**3 + o**2 + 55*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2175 by 76.\nAnswer: 2175\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24950134.857 - -2\nAnswer: -24950132.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 3*4\/3. Let g = h - -3. Factor 2*f**5 + 18*f**3 - 3*f**2 - 9*f**3 - 11*f**g + f**2 + 2*f**4.\nAnswer: 2*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2. Let h be x(1). Let m be (3 - -3) + h + 2. Suppose -m*z - 427 = -13*z. List the prime factors of z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and (196\/490 + (-142)\/30)*-666.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-30)\/12)\/(540\/1404)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 398 and 9154.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1423\/7 - 203. Let o(k) = -117*k - 322. Let r be o(-3). Which is the third biggest value? (a) j (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 221 + 193 = 0. Suppose 596 = 2*v - 4*m, 3*m - 5*m = 5*v - 1538. Suppose 0 = -a + 7 - k, 3*r - v = -5*a. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26727031291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -750\/11. Let o(b) = -7*b**2 - 5*b - 2. Let u be o(-1). Let k = 153 + -148. Put k, g, -1, u in increasing order.\nAnswer: u, -1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*r - 21*r**2 + 6*r**2 + r**3 + 12*r**2 + 12*r - 3*r**3 wrt r?\nAnswer: -12*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -12 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 185.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 1. Let s(b) = 8*b + 24. Let c be -1*(-4 - 0\/(3\/(-1))). Let f(g) = c*i(g) + s(g). Does 16 divide f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5506486 and 0.0498807?\nAnswer: 0.5007679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 34*c + 1065. Calculate d(-17).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4530*t + 4530*t + 6*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/875810366 and -73\/14.\nAnswer: 6130672562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -34, -55, -74, -91?\n\"Answer: t**2 - 26*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 84 = -3*s. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1153\/95 - 14\/19. What is the common denominator of c and -71\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-2)\/(-5))\/(4\/220)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - 14 - (0 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 1608 = 4*n. What are the prime factors of n?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*n + 197*n + 5967 = -18*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*s = n - 64, -3*s = -2*n + 32. Calculate the common denominator of (-30)\/n*60\/(-65) and 42\/(-4) - 46\/115.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + (-3 + -24 - -11) - (10 - -3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022210111210 - -12?\nAnswer: -1022210111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81\/55, -62, 5 in descending order.\nAnswer: 5, -81\/55, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 6654111?\nAnswer: -6654113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49523639449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 511*r - 170*r - r**2 - 164*r - 151*r + 9 to the form f + m*r**2 + c*r and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/688 and -113\/516.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3552 and -149\/336?\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3872 + -3732. What is the highest common factor of o and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2\/(2\/(-3)). Let s(y) = y**3 + 4*y**2 - 2*y + 1. Is 4 a factor of s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*l**2 - 1569883522*l - 149512716 = 0. What is l?\nAnswer: -37378179, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orfr when four letters picked without replacement from {l: 1, g: 6, r: 3, o: 3, f: 3}.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43134 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0.3 (c) -1 (d) -3 (e) 280\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(8\/3)*k**(-1\/7)\/(k*k\/(k*k*k*(((k**0\/k)\/k)\/k)\/k)*k) assuming k is positive.\nAnswer: k**(-317\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 30 = 2*p + 4*r, -5*p + 4*r + 273 = 0. What is the remainder when 1587 is divided by p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ewcwwwccwcwcwwcwwewc?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178 = 44*w + 98 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 18 = -12*n. What is the highest common divisor of 66 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 748*q - 440. Let t(y) = 249*y - 148. Let l(o) = 5*i(o) - 16*t(o). What is the derivative of l(f) wrt f?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*v + 408 + 31*v + 20*v - 104*v + 24*v to o + j*v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/1061 (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:20 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1 = g - 2*r, 0 = -3*g + 3*r + 3. Suppose 0 = 3*y - g, -4*y - 1749 = -3*l - 316. List the prime factors of l.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/875 - 27077\/7000. Let v = b - -157\/40. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 - -143.1. Let d = x + -6. Round d to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - i**3 + 3*i**2 + i**2 - 5*i**2 + 3 - 5*i. Let p be b(5). Let z be p\/(3\/(-2)) - -4. Solve z*u = -2*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.2. Let o = -106\/7 + 417\/28. What is the second biggest value in o, x, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-85)\/(-1)*(-12402)\/(-390)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4740649 months to decades.\nAnswer: 0.0206172075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6671, 13372, 20073?\nAnswer: 26774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 39. Suppose j*m - 5*m = -5. Is 2\/53 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -1.8.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*f + 190223 - 174353 = 0 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 - 3*x - 2. Let r be f(-6). Let y = 26 - r. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 16, 48, 114, 226?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292760 divided by -14638.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfspkkkkpkpkkkskkp. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7098? (a) -2\/79 (b) 2 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3\/2 (b) 0.13 (c) -28 (d) 8 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.749972 and 5.\nAnswer: 5.749972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4 - 4500*h**3 + 49322*h**2 - 143352*h + 125384 = 0.\nAnswer: 2, 7, 2239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 205168 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/3400 + 19988\/475.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 836*f**2 - 6. Let n(h) = -2502*h**2 + 17. Determine 6*n(p) + 17*t(p).\nAnswer: -800*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 743764 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.23 + -5.23. Let z = 4 + -4.5. Let y = -0.8 - z. Which is the nearest to 2? (a) m (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -85*y - 423. Let g be i(-5). Let d = -1 + -1. Put g, -0.2, d in ascending order.\nAnswer: d, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**5 - 6525805*a**3 + 7161942*a**2 wrt a?\nAnswer: -240*a**2 - 39154830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**3 - f**3 + 0*f**3)*(0*f + 2*f - f + (-2 + 2 + 1)*(3*f - 3*f - 5*f) + 5*f - 3*f - f) to r + m*f**4 + i*f**3 + a*f + y*f**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86430549811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 4*15\/(-20). Let g = 46 - 43. Suppose g*m + 2*m = 15. Solve -9 = m*i - 4*d, 0*i = -5*i + o*d - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 348, 347, 346, 345?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*o + 559*o = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 130. Give n(-22).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11583683 - -2?\nAnswer: -11583681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 (base 11) in base 9?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 633628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 114504 from 0.5.\nAnswer: -114503.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 + 2.56. Let q = b - 3. Round q to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 4:26 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -45. Suppose 0*b + 3*b = 36. Solve -i*u = 2*u + b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3 + 4*q - 6*q + 13.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036969 is divided by 1737.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:02 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (-7 + -17)) + (6 - 5 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.04954\nAnswer: -2.95046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsxswxx. Give prob of sequence txw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2265 + -2260. Solve 10 = 2*h, m*x - h = -12 - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.235 - 100.765. Let j = s + 106. Put 2, 2\/13, j in increasing order.\nAnswer: 2\/13, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 4*t + 68. Let l be z(19). Let s be (8 - l\/90)\/((-4)\/(-5)). What is the smallest value in 9, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - -10)*(14 - 13)\/(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 291, 1538, 2771, 3984, 5171?\n\"Answer: -d**3 - d**2 + 1257*d - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 49\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 2 = -19*a. Suppose -a*r - 4*u = 0, 5*r + 25 = -2*u - 15. Let x(z) = z**3 + 9*z**2 - 11*z - 7. Let v be x(r). Solve 4*w - 23 = -v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8) + 249\/2324.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 57 + 21 = 0. What is the third biggest value in 26, 1\/6, d, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 0 - 27*x - 3*x**2 + 11\/2*x**3 - 9\/4*x**4. Factor k(p).\nAnswer: -3*(p - 1)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -18. Let v be ((-7)\/f - (-4)\/(-3))*4. Let k(y) = -5*y + 11. Let g(l) = -3*l + 6. Give v*k(p) + 7*g(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 2. Let v = 32 + -20. Let y = v + 10. Calculate the remainder when y is divided by q(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1894 = 119*q - 35*q - 374 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -6 - -11 - (3 - -4) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/22 and 81\/814.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124318957355 + -0.6.\nAnswer: 124318957354.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51, -58, -45, 0, 89, 234, 447?\n\"Answer: 2*x**3 - 2*x**2 - 15*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25470, 25164, 24874, 24606, 24366, 24160, 23994?\n\"Answer: p**3 + 2*p**2 - 319*p + 25786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 36164*x - 614781. Determine a(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 87?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1200)\/(-15))\/(-10))\/(19\/38*(-6)\/9).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -32.6. Let u = -10 - -9.91. What is the smallest value in 2, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -219 or 7.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + c - 6*c - 2.\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.04 or 2147\/55359?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3252320896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 8*o**2 - o + 315. What are the prime factors of k(0)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 316 = o - 323, 2*o = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-12)\/3 - 3). Suppose 0 = -3*v + s*v - 16. Let o be (v - (-60)\/(-16))\/1. What is the nearest to o in -1, 0.09, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 7, y: 2, c: 1, o: 1, p: 2}. Give prob of picking 1 o, 1 y, and 2 p.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 2)\/2 - -6. Sort k, -2, -0.9 in decreasing order.\nAnswer: k, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h**2 - 5*h - 2. Let k be i(-2). Does k = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -601 (base 10) to base 8.\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + k - k = 0. Suppose 0 = -5*d + 4*j - 33, -j - 2*j + 6 = 0. Sort d, -4, -8, k in ascending order.\nAnswer: -8, d, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17689206647 + -12484201333. Let n = -5205005260.00000031 + z. Let a = 54 - n. Round a to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*b = 98, -11*g + 560 - 320 = b for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/(5*(sqrt(10) - (sqrt(10)*2 + sqrt(10)))))\/(sqrt(12)\/(sqrt(12)\/sqrt(2)*2)))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*p - 140*p - 38144 = 373*p - 88*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54973, 109927, 164857, 219757, 274621, 329443, 384217, 438937?\n\"Answer: -i**3 - 6*i**2 + 54979*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - 3*u + 2*u - 4*u - u**2 + 2. Let w(a) = a**3 - 2*a**2 - 3*a + 3. Let h be w(2). Give s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 2. Let v be k(6). Let s = 19 - 37. Let i be s\/v - 9\/(-6). Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9 - ((-4)\/2 + (-169)\/39).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**(-2))\/((k*k**(-2\/3)*k)\/(k\/k**(6\/7))) assuming k is positive.\nAnswer: k**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**25\/(q**6*q**(4\/9)) assuming q is positive.\nAnswer: q**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - k**3 - 6*k**3 - k**3 + 2*k**3 - 2*k**3 - 2*k**3 + 2*k**3 - 2*k**3 + (k - k + k**3)*(1 - 1 - 2) + (1 - 1 + 2)*(k**3 - k**3 - k**3).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -8.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(1\/4))\/t*t**11)\/(t\/(t**(-3)\/t)*t**(-7)) assuming t is positive.\nAnswer: t**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -233523 - -1?\nAnswer: -233522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6872373.\nAnswer: 3, 763597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 8*v - 1160 = 0. Calculate the lowest common multiple of v and 5.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/(((y\/((y\/(y\/y**(1\/3)*y))\/y))\/y)\/y))*y)\/y)\/y*y)**(2\/79)\/(y**6\/y**(2\/9)))**(-34) assuming y is positive.\nAnswer: y**(139264\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 17*p**2 + 2*p - 19. Let m be (6 + (-216)\/30)*5. What are the prime factors of l(m)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -4.8 (c) 0.05 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51661 is divided by 157?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/8 - -1\/8. Let w = -14.1 + 2.1. Let i = w - -8. Which is the third biggest value? (a) i (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 17*u**4 + 1364*u**3 - 9708*u**2 + 14112*u = 0.\nAnswer: -49, 0, 2, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 + -1.7. Let u = 2267\/6 + -377. What is the third smallest value in 5, u, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (364\/104*(-220)\/35)\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 0, -81, 46.\nAnswer: -81, 0, 1, 6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 92. Let u = d - 19. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -8) + 1 + 0 - ((-10 - 25) + 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 5*q**2 + 8*q + 4. Let z be c(-3). What is the lowest common multiple of 18 and (z + 10\/7)\/(9\/(-252))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413488807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27865750 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -9*r**5\/7 - 1191*r**4\/7 + 2043*r**3\/7 + 633*r**2 + 1206*r\/7 = 0.\nAnswer: -134, -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*t + 1466 = -6*t, -3*t + 472 = s. Suppose -11*d + s + 41 = 0. What is the greatest common divisor of d and 416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6576, 12893, 19212, 25533, 31856?\nAnswer: 38181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.12 + -0.12. What is the closest to 1 in 4, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - 0.2. Let d = 10075.3 + -10096.3. Let n = 0.31 + -0.01. Which is the third biggest value? (a) y (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -4, -1\/2.\nAnswer: -4, -1\/2, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwyywwyyywy. What is prob of picking 3 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4*a + 4*a)*(3*a - 5*a + a) - a**2 - a**2 + 4*a**2 + 2.\nAnswer: 4*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8151007?\nAnswer: 17, 97, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 57. Calculate s(58).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.40708 to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 535 (c) -4 (d) 1\/2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1485 = 5*v, -3*v + 306 = -2*v - 2*y. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-11)\/77*1\/(-5)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27283246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -h + 31, 0 = 4*h - 3*m - 27907 + 27945 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + 1 + sqrt(98) + -1*sqrt(98))**2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1378 - 1378.27. Sort 0.5, 5, p in decreasing order.\nAnswer: 5, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -118, -429, -864, -1351, -1818?\n\"Answer: 12*x**3 - 134*x**2 + 7*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.341 and 3.\nAnswer: 1.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8)*(-98)\/7)\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -2, -5, 6991.\nAnswer: -5, -3, -2, 10, 6991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - a + 1, -p + 5*a = -3*p + 19. Suppose k + w = -4, -p*k - w - 5 = -0*w. Let s be (21\/(-15))\/(6\/10). Is k at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b**2 + b - 2. Let k be x(3). Let v be -5*(0 - 168\/20). Suppose 0 = -10*i + 7*i + v. What is the highest common factor of i and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 284982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*v + 254869 + 547270 + 1097983 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -7\/10 (c) -65 (d) 1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -8*n + 12, 3*h = 5*n - 7*n - 4. Suppose 0 = 5*z - 2*z + 45. Is (25\/z*h)\/((-2)\/(-108)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 4950218.\nAnswer: -3\/353587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5797 - -5846. Let b be (6\/4)\/((-6)\/(-8)). What is the remainder when 0 - (-242 - (b - 0)) is divided by h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 325354 and 325353 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11*39\/(-54) - (-48 - -56)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-24))\/(-3*((-805)\/42)\/(-23)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.54 and -26.634.\nAnswer: 14.38236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 81 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 2*n. Let v be k(2). Let z = v + -4. Suppose 12 = -a + z*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 + 4*t + 20. Give s(6).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 361335 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 310 or 0.299156?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 205 + 742 = -3*j, 5*j = 2*q + 354. Let r be (-18)\/(-18) - (-937)\/(-5). Let g = r - q. Which is the nearest to g? (a) -1\/2 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*4\/(-150)*-5)\/(2\/(-5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8808 + -8805. Let d(y) be the second derivative of 0 - 3\/4*y**4 - 17*y - 13\/2*y**2 + 0*y**s. Differentiate d(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2397, -9334, -20813, -36840, -57421, -82562?\nAnswer: -112269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 168. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzfrpzzzzznpnzfrzzz. Give prob of sequence fnfr.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 707 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Suppose -5*a + 3*a + m = -2*d, -4*d + 6 = 3*a. Let f(r) = -r - 4. Let k be f(-6). Solve d = u + k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*s = -15, 0 = q + 181*s - 183*s - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121020021 (base 5) to base 2.\nAnswer: 10001001101000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.04, 0.3, 5 in increasing order.\nAnswer: -1, -0.04, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**3*s**2 + 27*h**3 - 111*h**2*s**4 + 16*h**2*s wrt s.\nAnswer: 14*h**3 - 1332*h**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 126. What is the nearest to -1\/19 in -0.4, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - 91\/(-5). Find the common denominator of 50\/7 and (1\/2)\/(g\/(-44)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1248155 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.49 - -0.09. Let w = -2 - p. Suppose -4*q + 9 + 3 = 0. Sort q, 2\/11, w.\nAnswer: 2\/11, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50002005, -50002004, -50002003, -50002002?\n\"Answer: n - 50002006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4044.18 minus -3692?\nAnswer: -352.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -347.1 + 347. Which is the third smallest value? (a) n (b) -20\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 7*o + 4. Let c be w(-2). Suppose 4 = c*v - 20. Differentiate -4 + 3 + 6*d**4 + 2*d**v with respect to d.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:19 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4\/2 - 81*j**3\/2 + 45*j**2 + 2688*j + 7056 = 0 for j.\nAnswer: -4, 14, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**(3\/2))*p*p)\/p**(1\/4))**(-8\/13)*(p\/(p\/p**(1\/2))*p\/(p**(-5)\/p*p*p))\/(p**1*p*p**(2\/15)*p) assuming p is positive.\nAnswer: p**(-97\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 18 = -18. Suppose 26 = 2*r + 5*x, v*r - 34 = x + 4. Calculate the remainder when 35 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2250 + 2252. Put 0, -2, d, 5 in decreasing order.\nAnswer: 5, d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0262461 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -8*a + 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151574287.\nAnswer: 19, 61, 83, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 751.8681ml?\nAnswer: 0.7518681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 + 2*x**2 + 1. Let o(g) = -g**3 + g**2. Give 2*h(j) - 4*o(j).\nAnswer: -2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140*y**3 - y + 472 wrt y.\nAnswer: -420*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 155*q\/4 - 483\/2.\nAnswer: (q - 161)*(q + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:26 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.2. Sort h, 2\/23, 1\/3.\nAnswer: h, 2\/23, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 491 + -465. Suppose 5*g - r - 10 = 0, 0*r - 24 = g + 5*r. What is the nearest to g in 3, 4, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -1 (c) 0.04 (d) 1 (e) 210102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25789 is divided by 25761.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 1 - 1)*(-q + q + 2*q**4) - 2*q**5 + 5*q**5 - 4*q**5 + (q**2 - q**2 - 2*q**4)*(-6*q + 19*q + 6*q).\nAnswer: -37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) + -1)**2 + (0 + sqrt(3) + -3)**2.\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = 11. Let d be 1\/1 + 3*11. Suppose -5*t - 9 = -d. Solve g - t*v + 10 = -7*v, g - y = 5*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 156. What is r(34)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2 + k - 18. Let f(c) = -11*c**2 - 3*c + 35. Let h(t) = 4*f(t) + 9*q(t). Let i be h(8). Let d(j) = 5 + i*j - 4*j - j**2 - 7*j. Determine d(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2784 - -2826. What is the remainder when (-44)\/6*(-114)\/4 is divided by s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 25 - 45 - 152*a + 19. What is the hundreds digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b9 (base 13) to base 11\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 5. Let f be y(0). Let x(t) be the second derivative of t - t**2 + 1\/6*t**3 - 14. Calculate x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8091 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 208593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 9 + 2*j**2 + 27 + 12.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6\/11))\/y*y*y**(3\/7)*y*y**(-6)*y**(-1\/5)*y**(-8)\/((y**9*y)\/y)*y*y**(1\/6)*y*y*((y\/(((y**(-1\/5)*y)\/y)\/y))\/y)\/y assuming y is positive.\nAnswer: y**(-7789\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.3 (c) -6\/133 (d) -484 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59 - (150\/40)\/(15\/40). Calculate the highest common divisor of s and 35721.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 + 4*n + 5. Let i(t) = -t**2 - t - 1. Let p be 2\/11 + (-124)\/(-44). Suppose -p*b - 32 = b. Let g = 4 + b. Calculate g*i(j) - d(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*q + 75 = 60, -2*t - q = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000603 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -14*p**2 - 20*p - 67. Let l(a) = 5*a**2 + 7*a + 24. Give 11*l(r) + 4*m(r).\nAnswer: -r**2 - 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -35014 in decreasing order.\nAnswer: 6, -2, -35014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0 + 1*sqrt(243) - (sqrt(243) - (sqrt(243) + (sqrt(243) - -3*-2*sqrt(243)))))**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + (-100)\/(-5) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34000 (base 5) to base 8\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 397985.\nAnswer: -20\/79597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40, 9, -48, -131, -240, -375?\n\"Answer: -13*w**2 + 8*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 368887 divided by -293?\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 - 438*d - 191. Give l(63).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 94450020 to the nearest one million.\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 59*h - 6. Let s be m(-14). Let d be s\/(-20)*(-110)\/3. Calculate the greatest common factor of 33 and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771812 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 13. Let r be s(4). Let t(l) = -l**3 - 3*l**2 - 2*l - 2. What is t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92, -97, -102, -107?\n\"Answer: -5*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 256241905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1694 = -153*s - 1275 + 215 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 60153?\nAnswer: 60153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-1*(-2 + 1)))\/(-26 + 20). Put 48, k, -1, 1\/10 in decreasing order.\nAnswer: 48, k, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*d**2 + 30 - 59*d - 18*d**2 + 3*d**4 - 2*d**3 - 4*d**4 + 57*d to t*d**2 + o*d + x*d**4 + u + z*d**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 + m**3 + 2*m + 2 + 1 + 0. Let t be h(4). Let o(n) = n**3 + 5*n**2 - 2*n - 5. Calculate o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20987\/3460 + -20\/173. Calculate the common denominator of j and 73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251210 is divided by 447?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/75)\/(2*(-3)\/60).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from nnnnennnnnnnneen.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -85, -2, 1, -7497 in descending order.\nAnswer: 4, 1, -2, -85, -7497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 30*b**5 + 808*b**4\/7 - 976*b**3\/7 - 3264*b**2\/7 + 544*b\/7 + 128\/7 = 0.\nAnswer: -4, -2, -2\/15, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 45, 7, 0.7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 18*j**2 + 2*j + 2. Let z(k) = 6*k**2 + k + 1. What is 3*t(y) - 8*z(y)?\nAnswer: 6*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 106343 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**10\/3360 - l**7\/280 + 3*l**4\/4 + 9*l. Let n(x) be the third derivative of p(x). Find the third derivative of n(o) wrt o.\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*j - 0*w - 2, 0 = 3*j + 4*w + 8. Let z(o) = o + 11. Let i be z(j). Suppose 4*d - 11 = -l + i, 5*l - 30 = -4*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 0.2, 2\/7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d + 0*d)*(2 - 2*d**2 - 2) + (1 + 1 - 1)*(d - 3 + 3)*(181*d + 221*d - 54*d)*(-5*d - 2 + 2).\nAnswer: -1742*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 22 = -11*z. Solve -z*q + q + 5*r + 1 = 0, 0 = 4*q + 4*r - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/3 - 1144*x**3\/3 - 133624*x**2\/3 - 173568*x - 172032 = 0. Calculate x.\nAnswer: -96, -2, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-20))\/((-84)\/70)*2\/11\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 491 + 778 = 0. Suppose l*h - 1725 + 208 = 0. Calculate the remainder when h is divided by -4*1*(-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.179, 0.044, -7, -8, 1.\nAnswer: -8, -7, -4, 0.044, 1, 1.179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 124 - h**2)*(3*h**3 - h**2 + h**2).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let h(k) be the first derivative of k**4 + 4*k**3\/3 - k**2 - 447. Calculate -h(m) - 6*y(m).\nAnswer: -4*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*k - 10, 18*g - 20*g - k = -12. Let y(i) = 4*i - 1. Calculate y(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*x = x - 2, l = 5*x - 12. Let t(h) = -5*h - 8. Let z(o) = 14*o + 23. Let v = -3 + 20. Let p(g) = v*t(g) + 6*z(g). Determine p(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 147 + 686. Let j = 154 - c. Calculate the remainder when 101 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3229866002 to the power of 1\/2, to the nearest integer?\nAnswer: 56832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 + 2*j - 1. Let q(s) = -s**2. Suppose -d = 4*d - 20. Suppose -1 - 3 = -d*h. Give h*v(y) + 4*q(y).\nAnswer: 2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87367096741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 5. Let h be l(4). Let v(f) = 10*f + 9. Let j be v(9). Suppose j - 11 = 2*a. Calculate the greatest common divisor of h and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 7, -0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 67, 171, 305, 463, 639, 827?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/63 + 0 - 8\/14. Solve 5*x = -t - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2)\/(216 + -209)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98702 (base 10) to base 5.\nAnswer: -11124302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3620*p**5 + 2682*p**5 + 6394*p + 6159*p + 6151*p**5 - 3381*p**5 wrt p.\nAnswer: 181440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 482\/240 + (48\/(-30))\/(-8) and 1802\/2040 + 1\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*i - 390*i - 867 = 589. Calculate the least common multiple of i and 1001.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 0.1, -5, -4, -99?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4067707064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/20)\/((-4)\/(-40)). Let z = 15 + r. Suppose 5*v = -z*w + 41, 3*w = 2*w + 5*v + 7. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - i - 76 = -74, -5*s + 2*i = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14551559923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 + 0.12. Let z = -0.4 + i. What is the nearest to z in 0.1, 4\/9, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8856*k**2*r**2 - 2*k**2 - 2868*k + 2*r**3 - 2*r - 2 wrt r.\nAnswer: 17712*k**2*r + 6*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.32 - 11.12. Sort -1, z, 367 in decreasing order.\nAnswer: 367, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1140323032 + -22?\nAnswer: 1140323010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/4401 and 69\/652?\nAnswer: 17604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 33*n - 946. Calculate the lowest common multiple of n and 128.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -3, 0.02, 11, -3\/29?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -325 - -547. Calculate the remainder when q is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 1:28 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80717, -78250, -75785, -73322?\nAnswer: -70861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*l = 193*l - 27640. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 - 8*d - 11. Let g be x(-6). Sort 1\/5, 0.04, g, 0.1.\nAnswer: 0.04, 0.1, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-12))\/(-4 - (-170)\/51).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35392, 70830, 106280, 141748, 177240, 212762, 248320, 283920?\nAnswer: 319568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -454*v + 14647. What is the remainder when u(27) is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6532, 11831, 20656, 33007?\nAnswer: 48884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrjjjjjjjjjj. What is prob of picking 1 r and 1 j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/2 + 415749*n\/2 + 415743 = 0. Calculate n.\nAnswer: -138581, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/20 + t**3 + t**2. Differentiate v(b) with respect to b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015550 (base 6) in base 2?\nAnswer: 10111011010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (96\/(-28))\/6*2. Suppose 19*p = 21*p - 8. Suppose -2*a - p = -0*a. Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 55 - 24 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(416)\/sqrt(2) + -2 - (sqrt(91) + 2*sqrt(91))\/sqrt(7)*4.\nAnswer: -8*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1570 = 5*p, 926 = 3*p - 43*n + 41*n. What is the smallest value in 5, -5, -3, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115*x**4 + 59*x**4 + 22*x**4 + (-x**3 + 0*x**3 + 3*x**3)*(-x + 2*x + x).\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - -15. Suppose 10 = 4*p - 3*p. Let d = p + -3. Calculate the remainder when g is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/295 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000005830251 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - w + 2*w = -2, -2*w - 2 = 3*y. Let p be (-26)\/(-7) + y\/(-7). Suppose 0*r = -p*r + 32. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 7 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.8987 rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s. Let z(x) = -65*x. Let q(h) = -50*i(h) + 6*z(h). What is the least common multiple of 4 and q(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 65, 137, 269, 479?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let h(u) = -6*u**2 + 0*u**2 + 5*u**2 + 2*u**2. Determine h(s(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81568 is divided by 1186.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-68)\/1) + -4. Suppose 22 = w - 36. Let y = r - w. Calculate the greatest common factor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117702 - -220008. Suppose -4*g = -0*g + n - b, -4*g - 2*n = -102304. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1582, 6472, 14656, 26128, 40882?\nAnswer: 58912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20 + -4)*(-2)\/6. Let q(o) = 9*o - 17. Does 11 divide q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 7) in base 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 10*s - 10. Give y(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/60 - p**4\/8 + 2*p**3\/3 - p**2. Let g be t(-4). What are the prime factors of (-1)\/((-1)\/2) + g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 37881*g**2 - 831930*g = 0. Calculate g.\nAnswer: 0, 22, 12605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262212 and 1507719?\nAnswer: 6030876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i, 26*i - 25 = 5*g + 24*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1305 + 1832. What is the least common multiple of 3 and p?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61 and -2.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54478?\nAnswer: 2, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 302959 - 204572. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/36 and 35\/558?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = -k + 3*k, 0 = 2*d - 3*k - 13. Suppose 2*l = -5*b - 18, b + 6 = -b - d*l. Put b, -1, 3 in descending order.\nAnswer: 3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1725 divided by -417\nAnswer: 575\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*y + 28. Let o(j) be the second derivative of 3*j - 1\/50*j**5 + 0*j**2 + 0*j**3 + 0*j**y + 1\/105*j**7 + 0*j**6 + 0. Factor o(k).\nAnswer: 2*k**3*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14452*u**3 + 28906*u**3 - 14452*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 - 169. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94821751.\nAnswer: 43, 2205157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Let o(x) = 2*x**2 + 10*x + 12. Let a be (-10)\/10*3\/3*2. Let f be o(a). Solve f*k - p*k + 20 = 4*v, 2*v - 4 = -k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2117414089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -16*z**2\/5 + 5610*z - 3506\/5 = 0?\nAnswer: 1\/8, 1753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12784462 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13478 and 920?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21103 (base 8) to base 16\nAnswer: -2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4052 (base 6) to base 5\nAnswer: 12041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250645?\nAnswer: 5, 11, 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 432023 (b) -27 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*b + 0 = 2, -1215*b - 9 = -9*h - 1220*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 41. What is i(-18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027364063 rounded to seven dps?\nAnswer: -0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2650 and -7\/1590?\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 33, 2, -3, -10, 36.\nAnswer: -10, -3, -2, 2, 8, 33, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d + 11. Let h(l) = -5*l + 4. Let o(a) = -4*f(a) + 11*h(a). Let b be o(2). Solve -u - b = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {x: 2, h: 3, z: 3, g: 1, w: 1, q: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g + 2. Let t(a) = -3*a**2 - 4*a + 992. Let y(r) = t(r) + 5*w(r). What are the prime factors of y(0)?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-28))\/(2\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 5:29 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from {p: 2, g: 1, l: 2, h: 8, b: 6, x: 1}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1501 - 1502. Let t be 2*-1 + (-194)\/6. Let x = 34 + t. Which is the closest to x? (a) -2\/9 (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*d**3*n**2*v**3 + 5*d**3*n**2 - 5*d**3*n*v**3 + 30*d**3*n*v**2 - d**3*v**3 wrt n?\nAnswer: -232*d**3*v**3 + 10*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:44 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 - 10*x + 8. Calculate the lowest common multiple of t(10) and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 + 4*g**2 + 6*g + 4. Suppose 24*b - 15 - 81 = 0. Let w(o) = -o**3 - o**2 - o - 1. Determine b*w(p) + n(p).\nAnswer: 4*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 62\/9 + 5\/45. Suppose -b - g + 434 = -609, l*g = -3*b + 3130. List the prime factors of b.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30157, -60296, -90429, -120550, -150653, -180732, -210781?\nAnswer: -240794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*v + 32, -2*w - 3*w = 2*v - 38. Suppose w + 15 = 3*l. Let a = l + -2. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/10*4\/8. What is the closest to -1\/8 in 1\/3, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 544*d + 17832. Let r be i(21). What is the highest common factor of r and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 79, 171, 301, 469, 675, 919?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110.53 + 111. Let u = 3.33 + j. What is u rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -35*n - 5. Let r(t) = 41*t + 6. Suppose -139*z + 143*z - 20 = 0. Let c(l) = z*r(l) + 6*g(l). Let o(w) = -5*w**2. Calculate o(c(b)).\nAnswer: -125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:07 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 5. Let m be j(-6). Is 11 a factor of -1 + m\/(2\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -150. What is the greatest common divisor of 200 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.2. Let i = -9062 + 81556\/9. What is the fourth biggest value in o, i, 4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -425989, -425971, -425953, -425935, -425917?\n\"Answer: 18*i - 426007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z - 5*p, z - 4*z = -p - 14. Suppose z*l - 2 = 3*l. Let a = 0 - -2. Calculate the remainder when a is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175176 is divided by 255?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16544963 and 3254?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n - 79. Let g be d(8). Let o = -110 - -110. Solve o = -4*z + g - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17788947 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.3\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 93 + 52 + 26)*(-177*z**2 + 177*z**2 + 25*z**3).\nAnswer: 25*z**4 + 4275*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2\/7*z**3 - 2\/7*z**2 - 4\/7*z + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31223010?\nAnswer: 2, 3, 5, 7, 13, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -515\/2 - -258. Let q(x) be the second derivative of j*x**3 + 0 - 5\/2*x**2 + 4*x. Differentiate q(z) wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -30*s + 306. Suppose s + 7 = 6*y. Calculate the least common multiple of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 10*x**3 + 33*x**2 + 40*x + 16.\nAnswer: (x + 1)**2*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218234 and 1634?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.176262589 - -1120.823821711. Let x = r - 1128. Round x to 6 decimal places.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2 - 3 - 2*m**2 - 3*m + m**3 + 4. Suppose 2*p - 4*f - f = -23, p + 5*f = 11. Let w = -1 - p. Determine d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a gram in milligrams?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 - (2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/(-22)*2005\/802 + -36.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(1764) + sqrt(1764) + (-1*sqrt(1764) - sqrt(1764))))\/(sqrt(175) + 1*sqrt(175) + sqrt(175) - sqrt(175) - (sqrt(448) - -1*sqrt(448)))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 40 = -4*k, 37 = 3*n - 7*k + 2*k. Which is the fourth biggest value? (a) -3 (b) n (c) -9\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 3867, 10443, 20101, 32835?\nAnswer: 48639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2771*v**6 + 611*v**4 + 2*v**3 + 120152*v**2 - v + 5.\nAnswer: -332520*v**3 + 14664*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.237 in 1\/2, 4, 64\/3, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153942 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4650 and 1806.\nAnswer: 1399650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(-3*(-10)\/(-9))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -154 - -116 - 4668\/(-123)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -1*(-12 - -10)\/((-1983)\/663 - -3) and 17.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -431 + 5161\/12. Let d be 9 + -8 + 3 + (-22)\/8. Let h = b + d. Sort -0.4, 4, h.\nAnswer: -0.4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360 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: Put 9, 3, -1, -78, 1, 2, -5 in ascending order.\nAnswer: -78, -5, -1, 1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101011100101001000 - 1?\nAnswer: -11111101011100101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -945 - -8503\/9. What is the closest to u in 0.2, 0.05, -2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 - 1)*(u + 2*u - 5*u) + 3282 - 1633 - 1649 - 1781*u)*(-2*u + u - 4*u).\nAnswer: 8885*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)\/(d\/d**(2\/9)))**(-15)*d*d**4*d*d*(d\/d**4)\/d*(d\/d**0*d)**(4\/29) assuming d is positive.\nAnswer: d**(3035\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 4*q + 1. Let c be d(3). Let f(k) = k**3 - 176*k**2 - 240*k - 20629. Let v be f(178). Solve -x + 6*x - a = v, 3*x - 25 = c*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/(-8127)*630)\/(85\/2).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004099 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 762719 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 11:57 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2046544, 4093086, 6139628, 8186170?\nAnswer: 10232712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 14. Let f be j(11). Let c(q) = 186*q - f - 9 - 6 - 1. Is c(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -27. Let l be -2*2 - (139 + x). Let f = -80 - l. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 7*x**2 - 681*x - 949. Calculate o(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 326893 a multiple of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 39. Let i(b) be the third derivative of b**5\/60 + 7*b**4\/24 + 2*b**3\/3 - 3*b**2. Let p be i(-7). Solve 0 = -p*w + w + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u**2 + 3. Let q(m) = 4*m**2 + 1. Let g(z) = 3*k(z) - 8*q(z). What is the first derivative of g(n) wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -42 + 82*m - 34 + 0. List the prime factors of v(7).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 9*y**2 + 8*y - 137. Is b(7) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -33*g**3 - 2*g**2 - 2. Let r(t) = 429*t**3 + 27*t**2 + 27. Calculate -54*m(b) - 4*r(b).\nAnswer: 66*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*l - 237*l - 1489 - 807 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**6\/3 - 12*r**5\/5 - 10*r**4 + 16*r**3 + 64*r**2 + 5280. What is w in a(w) = 0?\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**5*g))*g)\/g**(-14))\/(g\/((g\/(g**8\/g))\/g)*g\/(g*g**(3\/2)\/g)) assuming g is positive.\nAnswer: g**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2\/6 + 81*o + 1404 = 0.\nAnswer: -468, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -5. Let q be (-6)\/(-4)*a\/(-3). Suppose 15*l = 20*l - 25. Sort -1, q, l.\nAnswer: q, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 35 + 11*a)*(-2 - 5 + 1).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 232232*a\/3 + 6741462728\/3.\nAnswer: 2*(a + 58058)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17205 + -12276. What is the highest common factor of 636 and i?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*v**4 - 5600*v**3 + 6729*v - 108*v**4 - 5596*v**3 + 11196*v**3 wrt v.\nAnswer: -3456*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -1325, 0, 1, -88 in decreasing order.\nAnswer: 1, 0, -1, -5, -88, -1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 1, g: 1, n: 3, q: 3}. What is prob of sequence wmq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 2*p - 10. Let d be x(3). Suppose -3*a - d*m = -642 - 1780, -2*m = 2. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4, -2 in descending order.\nAnswer: 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 3*y - 20*y - 13*y)*(-4*y**2 + y**2 + 8*y**2).\nAnswer: -195*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 961572 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 20*z - 25. Calculate k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 5. Suppose h + 3 = 2*s + 7, 32 = 5*h + 2*s. Determine g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32291873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.05, 8, -82\/265, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5) + 0)*5. Is (n\/(-6))\/((-12)\/(-1026)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsghhgggkkzsghkkz. Give prob of picking 1 k and 2 g.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -720764 times -0.06\nAnswer: 43245.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5984)\/(-10208))\/(190\/(-551))?\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123299663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 147, -23 in ascending order.\nAnswer: -23, 0, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 - 140. Let z = -5.09 + 0.09. Which is the third smallest value? (a) 0.3 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2395442 and 357605270?\nAnswer: 2503236890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -1\/2, 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w = -t - 1, 13 = 2*t - 5*w. Factor 2*z**2 + 142*z**4 + 68*z**5 + 128*z**5 + 44*z**3 + t*z**4 + 2*z**2.\nAnswer: z**2*(4*z + 1)*(7*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -24815\nAnswer: 17\/24815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 11*d**2 + 7*d + 4. Calculate j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42755492 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 + 51 + 4*l**2 - 15 - 32 + 80 in the form q*l + s + w*l**2 and give s.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1417437 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**7\/2520 + q**6\/180 - q**5\/30 + q**4\/24 + q**2. Let c(o) be the second derivative of u(o). Suppose c(f) = 0. What is f?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 15*v - 19. Let d = 0 + 5. Let c(w) = 2*w**2 - 7*w - 9. Let n(i) = d*c(i) - 3*h(i). List the prime factors of n(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993920 a multiple of 1340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(18\/(-4))\/3. Suppose -a = 4*o - 9*o - 13, -i*o = -a + 9. Find k, given that k**4 - 2*k**4 + 0*k**4 - k**a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 17*d = -36. Let r be 469\/21 + 4\/d. Is 24 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (27 - (-1 + -1))*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 718364755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 21*r**2 + 42*r - 5. What are the prime factors of n(-8)?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -25. Calculate the least common multiple of 3 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4 + 4*q - 11. Differentiate j(o) with respect to o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -640007 by -296.\nAnswer: 640007\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6290 and 63\/9890396?\nAnswer: 49451980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 + 11*s - 11. Let f(g) = -g**2 + 2*g - 2. Let w = -58 - -64. Determine w*r(v) - 33*f(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x + 2 = 5*t, 0 = 3*x - 5*t - 22. Let l = x + 4. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1726 - 494 = -54*y - 172 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28345220 - -76745220. Round q to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1460 (base 7) to base 4\nAnswer: 21011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165\/8 - 1153\/56. Let m = -191\/45 + 484679\/114255. Let x = m + -246247\/15234. What is the common denominator of x and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fppp when four letters picked without replacement from ffppppfffffffffpfff.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 848 divided by 10094\nAnswer: 424\/5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*p**3 - 209*p**3 + 388*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5462 <= -329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1176\/(-20))\/((-4)\/(80\/(-6))). Let o be 25\/7 - (-112)\/x. Solve -4*c = -3*c - o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -2831?\nAnswer: -2834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, -291 in descending order.\nAnswer: 0.3, -3, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.185 + -0.18500194. What is t rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 166*n**2 - 202*n + 14. Let p(q) = 55*q**2 - 67*q + 4. Let i(x) = -7*p(x) + 2*u(x). Find the second derivative of i(a) wrt a.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:07 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132) - sqrt(132))*6 - -4*(sqrt(132) + (sqrt(132) - sqrt(132)*-2)))\/(2*1*sqrt(12) + 1*sqrt(24)\/sqrt(2)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 119384331 divided by 10853121?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 69 + (-29 - 5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94675.69 tonnes in kilograms?\nAnswer: 94675690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1) - (165\/(-32))\/(-5). Which is the third smallest value? (a) 5 (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nynyttwelty. What is prob of sequence yw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*r + 2 + 76*r + 77*r**2 - 3*r)*(-r**3 + 2*r**3 - 6*r**3).\nAnswer: -385*r**5 + 35*r**4 - 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4233198, -5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27928016.\nAnswer: 2, 1745501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = 3*j. Let l = j - -15. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u + 352*u = 803*u + 2244*u + 15768 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*c + 20, -23 = -4*c + 16*w + 33 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/16 and 53\/964?\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -25*k**2\/2 - 123*k - 27. Let t be y(-5). Solve 8 = 4*o + t*z, -z + 13 - 1 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 53*i**2 + 71*i - 70. Let s(v) = -131*v**2 - 143*v + 139. Let g(w) = 5*k(w) + 2*s(w). Determine n so that g(n) = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-1\/4)\/i)\/(i*i**2*i))\/((((i**(-1\/5)\/i)\/i*i)\/i)\/(i*(i**(-1\/3)\/i)\/i)))**(-1\/10))**(2\/115) assuming i is positive.\nAnswer: i**(263\/34500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 v, and 1 i when four letters picked without replacement from vvfvivvviivivfiiv?\nAnswer: 108\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61801.\nAnswer: 23, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*j - 1355*j + 429*j = -453*j - 702 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 34 + 16. Is 166\/4*c\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19023*k + 608759. Determine s(-32).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*s + 2, 5*s + z + 0*z = 22. Suppose 2*x - 2359 = -s*x. Suppose 1497 = 8*m + x. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 20\/3. Let v = 11058\/7 - 1580. Which is the nearest to -2? (a) 0.02 (b) -2\/5 (c) v (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70.6 + -71. Let x = 15 + -12. What is the second biggest value in -4, h, 2\/7, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyovddmadddmv. What is prob of sequence mo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1\/52, 0.4.\nAnswer: 1\/52, 0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 30*d**4 + 150*d**3 + 290*d**2 + 240*d + 72.\nAnswer: 2*(d + 1)**3*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003701 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p. Let v(b) be the third derivative of -b**4\/24 - 6*b**2. What is g(v(d))?\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/8, -118, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2 (c) 309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:40 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.499003 rounded to two decimal places?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -5*s**7\/42 + s**6\/3 + s**5\/4 - 5*s**4\/6 - 76*s. Let t(z) = 0. Calculate z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*s - 0*s + 14, 0 = a + 2*s + 22. What are the prime factors of (-54)\/(-10) - a\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:12 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = y - 16, y - 4*l + 24 = 3*y. Suppose -y*i = -i - 42. Calculate the smallest common multiple of 3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83993.065 rounded to the nearest one thousand?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-8)\/(-12)) - -6. Suppose -i*g = -6*g. Solve g = z - 2*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 24. Suppose -765 = -3*v + z*t, 12*v - 9*v = -4*t + 737. Let w = v + -86. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-204)\/24)\/(-17)*44\/(-517)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5959837*h**2 - 2979927*h**2 - 2979712*h**2.\nAnswer: 198*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19450, 77779, 174990, 311083, 486058, 699915?\n\"Answer: 19441*u**2 + 6*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-242)\/20 - 15\/(-150). Does 14 divide (-2152)\/k - (102\/(-18) + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 44410115?\nAnswer: -44410130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11166413.\nAnswer: 79, 107, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*f = 2328 + 2232 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -8449?\nAnswer: -8449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9466539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4*z + 98884 - 98911, -3*z = -21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - 41 + 5*x + (-2 + 0 + 4)*(8*x + 14*x - 4*x).\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2834, 30, -1, -2.\nAnswer: -2834, -2, -1, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -f - 1, 5*f - 1 = 3*x - 6. Let a = f - -71. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 4:57 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237 + -235. Suppose 5*n = 5*m - 5, -4 + 1 = -k*n - 3*m. Solve 5 = -n*x - 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18 = h, 3*d = -4*h + 30 - 10. Suppose 2*y = -3*y + 2*c + 17, 4*y - d*c - 16 = 0. Solve 5*p + 3 = y*p + 5*w, 7 = -p - 3*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 19. Determine j(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4704833.7ms?\nAnswer: 1.30689825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 2*w + 0*w + (2*w + 2*w - 6*w)*(0 + 2 + 0) + w - 3*w + 0*w - w + 2*w + 0*w + (-2 + 2 + 2)*(70 - 70 - 7*w) in the form l + r*w and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/429 and ((-35)\/(-245) - 4\/(-21)) + 334\/(-468).\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-6)\/g)*g*g*g**(2\/13)\/g*g)\/(g**(1\/10)\/(g\/(g\/(g*g**(3\/11)\/g*g)))) assuming g is positive.\nAnswer: g**(16197\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23, 60, 101, 146, 195?\n\"Answer: 2*o**2 + 31*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 17*h**2 + 91*h - 342. What is the least common multiple of w(4) and 16?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-86)\/215)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/50 + 3\/(30\/512). Which is smaller: 13 or o?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and -7115715768.6?\nAnswer: 7115715757.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -0*u. Suppose 9 = 2*c + k, -u*c + 5*c + 3*k = -1. Let h(g) = -c*g + 3*g + 2*g - 1. What is h(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*o - 17 = 0, -v = 3*o + 2*o - 1. Let k = v - -8. Solve -3*y = -2*r - 7, -r - k + 2 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -198*j**3 - 234*j**2 + 1058*j - 846. Let t(c) = 20*c**3 + c**2 + 2*c - 1. Let i(o) = -s(o) - 10*t(o). Solve i(g) = 0.\nAnswer: 1, 4, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*1*15\/3*-6. Suppose 2*n + 5*b = s, -5*b = -4*b - 2. 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 w(b) = b**3 + 2*b**2 + 12*b. Let x(q) = 2*q**3 + 4*q**2 + 24*q. Calculate -7*w(v) + 4*x(v).\nAnswer: v**3 + 2*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (510\/(-20))\/(-5 + 18402\/3684) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3 + 88*a**2 + 613*a - 195. Let p(b) = -2*b**3 - 48*b**2 - 307*b + 97. Let f(g) = -11*p(g) - 6*v(g). What is the derivative of f(r) wrt r?\nAnswer: -6*r**2 - 301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*s - 22, -2*s + 4 - 6 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/53)\/z)**(-9))**(1\/11) assuming z is positive.\nAnswer: z**(18\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, -1, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) -2\/5 (c) -5 (d) 1471\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.433 and 0.101895.\nAnswer: 0.044120535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33 (b) -0.4 (c) 1 (d) 2\/173 (e) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101101 + -11?\nAnswer: 2101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 118c7 - -2?\nAnswer: 118c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 382?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/11 + 2784*m**4\/11 - 1191104*m**3\/11 + 154701312*m**2\/11 - 6175605248*m\/11 = 0.\nAnswer: 0, 92, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (25 - 10 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(864\/(-36)))\/(4\/944*-4)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-37)\/(a**(2\/3)\/(a*a*a**(-2\/13)\/a*a)) assuming a is positive.\nAnswer: a**(-1397\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22188*h**4 + 5*h**3 + 371435*h.\nAnswer: 266256*h**2 + 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1748 and 0.2.\nAnswer: 349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -13.8.\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**3 - 668 + 668.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 4880653*z\/5 - 4880654\/5.\nAnswer: (z - 4880654)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 2. Determine o(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 - 3*w**2 + w + 20. Let h(c) = c**3 + c**2 + c - 10. Let r(x) = -2*h(x) - s(x). Let q(m) = -25*m**3 + 5*m**2 - 13*m. Give 2*q(u) - 9*r(u).\nAnswer: 4*u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-66)\/27*3*-12.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - d**3 + d**3)*(d + 3*d - 2*d) + 4 - 4 - 2*d**4 + d**4 - d + d + (-1 + 1 + 2*d**3)*(2*d + 1 - 1).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18*57*(-2)\/(-18). Let x be (-5)\/(-5*(-6)\/l). Solve -7*b = -9 - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -11*s**6\/120 - s**4\/24 - s**3\/6 + 57*s**2\/2 + 20. Let x(w) be the second derivative of a(w). Give x(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 26*t - 784. Calculate the highest common factor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*d + 6*d + 4*d)*((1 - 1 + 2)*(-2*d - 4 + 4) + 13*d - 1 - 24*d + 12*d) in the form y*d**2 + v + g*d and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273 - 185. Let x = 7 + -7. Suppose x = 2*t - 6*t + k. What is the greatest common divisor of t and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {g: 2, k: 4, s: 6, y: 3, p: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -1\/3, 39, 1\/4, 3.5, 4\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0, 59, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 2*g)*(-185*g - 411*g - 1883*g) + 5*g**2 - 4*g**2 - 3*g**2.\nAnswer: 2477*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 3. Let k be 18*(3 + 7\/(-2)). Let s be v(k). Suppose 3*x - 33 = 3*o, -x - s*o - 4 = -4*o. Solve g + x = 3*a, -a + 2*g + 6 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 11*g - 21. Solve -1 = 2*a + g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -510 + 744. Suppose 4*m - 66 - o = 0. What is the remainder when ((-4)\/(-6))\/(2\/m) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d\/((d*d*((d**(-13)\/d)\/d*d)\/d*d)\/d)))*d)\/d)\/d**(-7))\/(((d**(1\/5)\/d)\/d)\/d**8) assuming d is positive.\nAnswer: d**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 4*c**2 - 2*c**2 + (-69*c - 37*c + 4*c)*(2*c + 3 - 3).\nAnswer: -207*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 61*o - 10. Let s be a(9). Suppose 0*w = 3*j + 2*w - s, -913 = -5*j + 4*w. Suppose -4*z + 196 = 4*f, 0 = -f - 3*f - z + j. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134286 + -487714. What is z rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 27*q**2 + 41*q - 60. Give v(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 36*m**2 + 6*m. Let f(i) = 4*i. Determine k(f(v)).\nAnswer: 576*v**2 + 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -32340.875216 take away -41?\nAnswer: -32299.875216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37579092 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112624, 112819, 113012, 113203, 113392, 113579?\nAnswer: 113764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22676950 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 30 = 2. Suppose 6*j - 3*j + 81 = 0. Let k = c + j. Solve k = 4*g + 5*p - 12, -2 = g - 5*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 + c - 8. Let n be g(6). Let b be (-1)\/n*(-1 + 1). Does 11 divide 1*(b - (-8 - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 1155152.\nAnswer: 3465456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 38806 = -4*h + 20889, -4*h + 59694 = 2*j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)\/((-2)\/4). Let f = -0.03 + -0.47. What is the closest to 1\/3 in f, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*s. Suppose s = -o - 5*z - 20, -2*o - 2*z = o - 5. Suppose -5 = -o*y - 0*y. Calculate the lowest common multiple of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, i: 3, m: 2, u: 1, a: 1}. What is prob of picking 1 a, 1 u, and 2 m?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.02 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v**2\/4 + 7419*v\/2 - 46355\/4 = 0. What is v?\nAnswer: -365, 127\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f + 4*t - 13748, 0 = 2*f - 5*t - 6881. Let g = 61841\/18 - f. Find the common denominator of g and -113\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130 + -113 + (-4 + (1 - -3) - 62).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1498*y**3 + 448*y**3 + 2 - 3.\nAnswer: -1050*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.4 (c) 3 (d) -2\/99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 81635 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2305 = -4*p - p. Let b = p - 306. Suppose -b = -5*l + 175. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*d**3 - 100*d - 180*d**2 - 50*d - 51 - 3*d**4 + 426.\nAnswer: -3*(d - 1)*(d + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 1765 = -1565. What is the least common multiple of 10 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 0 + (-56 - -51).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 2*o + 4*q, -9*o + 5*q = -6*o - 152. Sort 4, o, -4 in increasing order.\nAnswer: -4, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697044377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.068 + -1.368. Let y = 8 - 9. Which is the third biggest value? (a) -13 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4033 - 1990. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - 3) + -4 - (-9 + 10)) + (-143 - -133).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 - -1210?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 8, 3, 2.25?\nAnswer: 2.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1793.54ng to kilograms.\nAnswer: 0.00000000179354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -17, -19, -37, -77, -145?\n\"Answer: -c**3 + c**2 + 12*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19.4, -2, -4 in ascending order.\nAnswer: -4, -2, 19.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2)*244*(-28)\/(-48). Calculate the highest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 55. Differentiate 372 + 19*j**a - 152 - 190 with respect to j.\nAnswer: 76*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6319218951.0000577 - -6319219610. Let k = h - 659. What is k rounded to 6 decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b317b (base 12) to base 6\nAnswer: 5001035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1234786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -25*w**3 - 3*w**3 + 3*w - 1 - 5*w. Calculate the remainder when t(-1) is divided by (-1 + -14)\/(3\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (690 - 346 - 78*z - 346)*(4 - 2 + 0 + (2 + 0 - 3)*(2 - 1 + 0)) in the form c*z + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 390.01347 hours in weeks?\nAnswer: 2.32150875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 5, t: 6, h: 3}. What is prob of picking 1 t and 3 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -25*q**2 - 20*q - 557. What is u(0)?\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 8, y: 3, r: 2}. What is prob of sequence ttr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 5*n + 7. Let l(r) = -8*r**2 - 1. Let o be l(-1). Let v be o\/15*(-1 - 9). What is the units digit of q(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 860*l + 12054. Let k be d(-14). Solve 0 = -2*n - 2*t - k, 3*t - 39 + 36 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 224446 and 224463 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22. Suppose m = z + b + 2*b - 15, 3*b - 12 = 0. Solve z*d + 13 = 3*g - 5, -2*g - 2*d + 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-296)\/592*3\/((-6)\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((527 + 23)\/(-22))\/(1\/(-2)) - 4\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5\/3 - 1864*h**4\/3 - 3725*h**3\/3 - 1862*h**2\/3.\nAnswer: -h**2*(h + 1)**2*(h + 1862)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 663892 or 663835?\nAnswer: 663835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 3 (c) -55 (d) 0.5 (e) 195 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17571 + -18550.2. What is r rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*i + 34*i - 30900 + 3694 = 0 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*c + 21, -2 - 5 = 4*c + 3*d. Let y be (-32)\/12 + c\/(-6). Let t(q) = -q**2 - q - 1 - 1 - 2*q. Determine t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 3*a + 2. Calculate y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75.1 and -199.\nAnswer: 14944.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, q: 1, g: 2, w: 3}. What is prob of picking 2 m and 1 q?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222 (base 3) in base 14?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t**3*w**2 - 6*t**3 - 2*t**2 + 6*t - 5*w**3 + 25312*w - 91 wrt w?\nAnswer: -2*t**3*w - 15*w**2 + 25312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -62, -134, -232, -356, -506, -682?\n\"Answer: -13*r**2 - 7*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -474, -2\/5 in descending order.\nAnswer: 0.1, -2\/5, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3006 + 2996 = -5*g. Solve 0 = g*q - 6, 2*y + 11 + 12 = 5*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*v - 54*v - 44*v**3 + (-v**2 - 1 + 1)*(6*v - v - 3*v))*((-1 - 2 + 1)*(-2*v + 2*v - v) + 0*v - 2*v + 4*v + (2 - 3 + 2)*(-2*v + 4*v - 3*v)).\nAnswer: -138*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28334 is divided by 145?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**4\/4 - 2*u**3 + u**2\/2 + u + 2. Calculate the remainder when 27 is divided by s(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.5, 28, 3, 13\/2, 1.009, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2990\/(-1196))\/(20\/(-3)) + (-1322)\/(-16)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*j - 4*j. Let m(u) = -2*u - 9. Let p be m(j). What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65209.86 grams to micrograms.\nAnswer: 65209860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 + 91. Which is the second smallest value? (a) -15 (b) p (c) -2 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-11 - (-4 - 2 - -12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.962594km in millimeters?\nAnswer: 1962594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 2:36 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13891960\/13 or -1068612?\nAnswer: -13891960\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/30 + 3*w**4\/4 + 10*w**3\/3 - 394*w**2. Determine l, given that a(l) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*o - 48*o + 1854*o**2.\nAnswer: 1854*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-140*507\/975)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 79 + 1 = 0. Let x(o) = -2 + 5*o + 14*o**2 - 1 - 2*o**2 - 3. Let b(k) = -4*k**2 - 2*k + 2. Give w*x(n) + 8*b(n).\nAnswer: 4*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 8*f**2 - 6*f + 16. Let b be c(-8). Let s = -65 + b. Is 3\/26 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbiigbigrg. What is prob of picking 2 b, 1 i, and 1 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8 and ((-872)\/140)\/1 - (-6)\/(-30).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = 1. Suppose -k = -0*k + 4*j - 8, i*k + 4*j - 8 = 0. Solve -2 = p - k*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 + -1 - (1 - 0). Let q = 16 + z. Solve -q = c + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 12 = 29*j, -n - 4*j + 7 = 0. Solve 24 = -5*l + n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76090465 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28208 less than 33?\nAnswer: 28241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 10, 3*n - r - 2*r = -399. Let k be (-240)\/n + 2\/9. Suppose -5*y + 20 = 10. Calculate the highest common divisor of k and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-6)\/(-18)) + 2*18.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121\/(-44) + 3)\/(9\/3204)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -2\/11, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3, 4*q + 7*n - 11 = 2*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-180)\/15 - ((-18630)\/306)\/5\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4455269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -6*v**5\/5 - v**4\/2 + 2*v**3 + v**2 - 3. Find o, given that u(o) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454274569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*v - 15135 = -141*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 + 800 = 53*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.8 and 1.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-2.702122.\nAnswer: 13.51061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - (47 + 0)) + -26.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -2. Let z = a + 3.2. Do 9 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 73 and 220\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 20*g**2 + 23*g + 18. What is x(-9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1294*f**4 - f**3 + 23350*f**2?\nAnswer: 31056*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 317*l**5\/20 + 363*l**2\/2 + 2*l + 1. Differentiate p(k) wrt k.\nAnswer: 951*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 87448356?\nAnswer: 437241780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 + 2 - 5*y + 3 + 0. Let h = 1 + -2. Let m(l) = l - 1. Let f(w) = h*n(w) - 2*m(w). Let o(a) = a. Give o(f(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307183?\nAnswer: 83, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95860 and 6268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7 = 4*o, 0 = -2*o - 242*r + 239*r + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -469421, -1, -4\/3 in decreasing order.\nAnswer: 1\/10, -1, -4\/3, -469421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let f(s) = 18 - 6*s**2 - 18. Determine u(f(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8292899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 547128674 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/93)\/p**(-28))**(1\/34))**37 assuming p is positive.\nAnswer: p**(48211\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344 (base 8) to base 3.\nAnswer: -22110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273239 and 3039316.\nAnswer: 3743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2151974*o**2. Let g(d) = 11*d. What is g(t(m))?\nAnswer: -23671714*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 + 9 = 0. Let t(b) be the third derivative of b**4\/24 - b**3\/6 - 3*b**2. Let z be t(2). Sort z, n, 4 in increasing order.\nAnswer: n, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 46*d**2 + 1. Let g be y(-1). Let v = -45 + g. Suppose -3*w - w = -12. Solve v*q - w*q - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122699307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72654 by 1.\nAnswer: -72654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 6*l + 7. Suppose -3 = -q - b, -q = 5*b - 7 - 16. Let r = 6 + q. What is the remainder when d(6) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56.369005 + 1290.375375. Let w = 1234 - b. Round w to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1020, -4147, -9366, -16683, -26104?\nAnswer: -37635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 12*r + 118 + 26 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 38\/9. What is the third smallest value in 0.3, 5, d, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5223705.7 times -4\nAnswer: -20894822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 14 (c) 0.093 (d) 0 (e) 5\/4 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 p, and 1 e when four letters picked without replacement from aaaaaapeaeyaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0298*2039.5.\nAnswer: 60.7771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -26*p**2\/9 + 4*p\/3 = 0.\nAnswer: 0, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751 = -52*s - 21*s + 271 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 26 = p. Let f = p + -41. Sort 3, 0, f in descending order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*k + 40, -293*k + 147*k = -l - 142*k + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*c**4 - 5 - 6*c**4 + 64*c**4 + 96 wrt c.\nAnswer: 524*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(216) - sqrt(216))\/sqrt(9))\/(5*(sqrt(8)*-2 - sqrt(8))*-6).\nAnswer: 2*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.03, -3, 0.4.\nAnswer: -3, -2, -0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -96 + 8. Suppose -4*f = -n*f + 8. Suppose 0*t + 2*t - 3*x = 13, -4*t - x = -5. Calculate the greatest common divisor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - (-19 + 115 - 62)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/11 + 2*i**2\/11 + 12*i\/11.\nAnswer: -2*i*(i - 3)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 50.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.23988 in ascending order.\nAnswer: -0.23988, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6929, 6718, 6503, 6284?\n\"Answer: -2*h**2 - 205*h + 7136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - p. Let c(l) = 32*l**2 - 6*l - 749. What is 6*b(q) - c(q)?\nAnswer: -2*q**2 + 749","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 2557?\nAnswer: 17899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/224201479 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1 - (-4)\/10. Let x = 24 + -23.86. Let z = -0.06 - x. What is the third biggest value in z, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004801836 to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 109712*p + 13541313312.\nAnswer: 2*(p - 246852)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5 + 245*z**4 + 577*z**3 - 2750*z**2 + 1200*z = 0.\nAnswer: -120, -5, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, -676, -1022?\nAnswer: -1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x + 10. Let o(q) = q**3 - q**2 - 3. Is o(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 6*g + 4. Let n be k(3). Let o be 30\/(-10)*69\/9. What is the third smallest value in o, 0.2, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*t**3 - 48*c - 16*i**2*t**3 - i**2*t**2 + i**2 - 11*i*t**3 wrt t.\nAnswer: -18*c - 96*i**2 - 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/8 + 11*o**3\/3 + 7*o**2. Let c be q(11). Let r = c - 35. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - b = o + 236, 4 = b. Suppose z + 2 = -3*m + o, -2*z = m - 22. Calculate the highest common factor of m and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459819527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3050*260.815\nAnswer: -795485.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 47*s = -3*c - 119, 0*s = -3*c - s - 63 + 33 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8919*x - 2*x**3 + 8921*x + 2*x**3 - 14 + 2*x**4 as l*x**2 + q*x**3 + k*x + u + t*x**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 123*y + 1902. What is l(32)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 741 and 3123030.\nAnswer: 40599390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 76.8 (c) -2\/35 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9, -0.14, -0.3, 75?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Suppose p + 2*p = 0. Let y = -2 + 5. Let l(m) = -y*m**2 + p + 0. What is d(l(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -99\/2 (c) -3\/5 (d) 0.13 (e) 3 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6)\/((-3)\/(-12)). Suppose -5*u + 4*k = 2*k - 51, -5*k - r = u. Calculate the lowest common multiple of 10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 2*z + 0*z + (-6 + 3 + 1)*(-z + 0 + 0) + 0*z + 2*z - z)*(-8*z + z - 16*z) in the form i*z + f*z**2 + b and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 31*c**3 + 3*c**2 + 7. Let d(s) = 27*s**3 + 2*s**2 + s + 7. Let x(n) = -8*d(n) + 7*k(n). Let q(w) = -2*w**2 - 3*w + 3. Let i be q(-3). Calculate x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121832 (base 9) to base 12\nAnswer: 252162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -4*s. Suppose 3*x - 7 = s. Let i be 155\/15 + 1\/(-3). Solve 2*r + x*r - i = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnt when four letters picked without replacement from {c: 1, n: 5, t: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:06 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2017*a - 35088. Determine r(17).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47547089131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from beeeeeebe.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56, 42, 46, 74, 132, 226?\n\"Answer: x**3 + 3*x**2 - 30*x + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 greater than or equal to -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44605?\nAnswer: 5, 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 18\/11, -26, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1286, -5305, -12018, -21425?\n\"Answer: -1347*a**2 + 22*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*z + 20, -4*v - 2*z + 7 = -1. Suppose v = -i + 1 - 0. Suppose i = 4*w - 3. Is w smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 1 + (0 - (-9 + 19) - (-19 + 1)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12636 and 22748232.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/50971 or 0?\nAnswer: 34\/50971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + 242\/33. Suppose 2*r - t = -r - 2*p, -p + 11 = 3*r. Suppose 130 + 35 = r*y. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24947*-74\nAnswer: 1846078","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86512 - 86497 - 86507 - 86454 + 432607 + w - 86529.\nAnswer: w + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:33 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 34 = 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6104 - -6120. Solve -78*r = -82*r - h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.6 - -11.9. Let t = q - -10. Let g = t + 1.2. Which is the closest to 1? (a) g (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m + 4*r - 9, 0 = -4*m + 2*r + 12. Suppose p - 27 = -3*z, -z - 2*p + 23 = 3*p. Put 5, -5, m, z in ascending order.\nAnswer: -5, m, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 26872.\nAnswer: 2, 5, 26872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 4*b**2 + 4*b**2)*(-56*b + 230 - 230) + 5*b**3 + 5*b - 5*b.\nAnswer: -51*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21696, 43234, 64794, 86388, 108028, 129726, 151494, 173344?\nAnswer: 195288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15057 divided by 4.\nAnswer: 15057\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 203, 5 in decreasing order.\nAnswer: 203, 5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 70 - 70)*(-2*a**2 + 3*a**2 + 0*a**2)*(-32 + 32 + 16*a**2).\nAnswer: -128*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r**2 - 6*r + 6. Let l(y) = y**2 + y - 1. Let d(c) = -6*l(c) - n(c). Let q be d(-1). Suppose 6*x = q*x + 32. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-27)*-4*27\/(-144).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140111?\nAnswer: 3, 7, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-11)\/6)\/(8\/160*-5))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p + 2. Let o be h(-1). Let f = -16.1 - -12.1. Let d = -231\/5 - -46. Put o, f, d in increasing order.\nAnswer: o, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 36, 62?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*(p*p**(3\/5))\/p*p)\/p*p))\/p*p)\/p)\/p**2*p**(-1\/2)\/(p*p**(-2\/21)*p) assuming p is positive.\nAnswer: p**(-1471\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 1, s: 3, r: 2, a: 3}. Give prob of sequence rtsa.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 45*b**2 + 44*b - 25. What is l(-44)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -16*x**2 - 2*x + 2. Let n be a(1). What is the units digit of (-2 - 2) + (1 - n) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - (-78 - -83).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20712672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/3)\/(-3))\/((-4)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-18)\/8)*8\/48\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/3)\/(-3 + (-51)\/(-18)). Let o(h) = -2*h + 25. Let l be o(i). Let y = -1.1 + 0.8. Which is the third smallest value? (a) l (b) 4\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0868 and 984423325.\nAnswer: 984423325.0868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*n + q, -2*q + 0*q + 10 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(-2)))\/h)**(-1\/34)\/(h*((h**(-1\/2)\/h)\/h)\/h)**(-7\/4) assuming h is positive.\nAnswer: h**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 0.1082?\nAnswer: -0.4082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 3, 100 in decreasing order.\nAnswer: 100, 26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1042686034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1102, -2195, -3286, -4375, -5462?\nAnswer: -6547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 1432 = p + 1439, 5*p = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2))\/(16\/(-160)*5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26994 minus -0.1?\nAnswer: 26994.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3021651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*u - 11 = d, -3*d + 17 = -4*u. Let j = 0 + d. Suppose 20 = j*z - 91. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 + (-9)\/3 + -10. Let g(b) = 3*b - 18. Give g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = g - 7, -4*n - 29 = -9. Let a(i) be the first derivative of 3\/20*i**5 + 0*i + 2 + 0*i**g - 3\/16*i**4 + 0*i**3. Factor a(v).\nAnswer: 3*v**3*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4297, 4230, 4221, 4300, 4497, 4842, 5365?\nAnswer: 6096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*u**2 - 7 + 7 - 126*u**2 - 236*u**3.\nAnswer: -236*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 235, 212, 171, 106, 11?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2)*(3*n - 4*n + 2*n) + 2*n - 3*n + 4*n + 0*n + 6*n + 8*n + 1.\nAnswer: 19*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 72.41. Let u = 0.11 - c. What is the closest to -1 in 0.3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330 + 100022120?\nAnswer: 100020130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 11*d**2 + 12*d. Suppose 4*u + j + j - 52 = 0, 0 = 2*u + 5*j - 18. Calculate the remainder when z(-9) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15191000 to the nearest 100000.\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14406811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/(-7))\/(-13)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 26. Let z(g) = 2*g**2 + 2*g + 1 + 3*g**2 - g**2. Let x be z(-4). Calculate the highest common divisor of u and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 1835?\nAnswer: 1835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132222030 (base 5) to base 13.\nAnswer: 708306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 16) in base 10?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1628 divided by -37?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**9\/22680 + h**8\/7560 - h**7\/11340 + 49*h**4\/8 + 12*h**2 + 1. Let w(m) be the second derivative of s(m). Factor w(v).\nAnswer: -2*v**2*(v - 1)*(3*v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35914937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99.41 - 6.41. Let r = i + -92.9997816. Round r to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 20 = -4*n, -3*z = -3*n - 7 - 5. Let c be (-1 + 1)\/(n + -1). Suppose 0*q = 3*q - 9. Solve c - 3 = q*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2138561, -8554284, -19247163, -34217198, -53464389, -76988736?\nAnswer: -104790239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -292051*g**5 + 266*g + 525 wrt g?\nAnswer: -5841020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19131566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.12 + -17.12. Sort -5, k, -0.2.\nAnswer: k, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*l*z - 2*h**2*l + 7*h*l + 194*h*z + 6*l*z + l + 1903*z wrt h?\nAnswer: 4*h*l*z - 4*h*l + 7*l + 194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*l - 118*l + 236*l + 9*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = 5*m - 31, 4*m - 22 = -u. Suppose 3*k + 7 - 30 = -m*h, -4*h = -2*k - 14. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1254 (base 6) to base 12\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -0.3, 8\/9, 7, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2401*t**2 - 226724*t**3 + 814*t**2 + 3*t - 3*t + 224060*t**3 wrt t.\nAnswer: -15984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -18, 0.09 in descending order.\nAnswer: 0.09, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1602*r + 3044 + 1936 + 1572 - 1746 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4110.5 + -548755.\nAnswer: -544644.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3 - 7. Let m(l) = -2*l**2 + 3*l**2 + 2*l**k. Let g(c) = 22*c - 48*c + 24*c. Give g(m(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-5)\/7 - -1). Suppose -29 = 5*l - 4*f, -5*f + 20 = -3*l - 0*f. Let w = l + z. What is the least common multiple of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = 20*z + 902 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/9)\/(7\/18669*7). Suppose -6469 = -4*i - h, -7958 - p = -5*i - h. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 - 12\/(-3 - 1) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -135, -150, -165, -180, -195?\n\"Answer: -15*b - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 1729?\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 40*b**2 - 35*b + 9. Let f(c) = -10*c**2 + 9*c - 2. Let m = -23 - -25. Let w(t) = m*l(t) + 9*f(t). Find the second derivative of w(h) wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151\/102 - -1\/51. Let f = t + -11\/6. Let x = 0 - 1. What is the nearest to f in -0.5, x, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (509\/(-2))\/((182\/28)\/(-13)). What is the tens digit of -2 + 7 + -5 + j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 6. Let x(m) = m**2 - 1019*m + 59. Determine x(d(v)).\nAnswer: 9*v**2 - 3093*v + 6209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 + -5 - 9) + 9 - (-16 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 11*a + 3. Let f be 1\/(3\/9) - (1 + -9). Let v be y(f). Suppose -588 = -v*u + 8*c - 7*c, u + 2*c - 196 = 0. Is 28 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -812, -804, -786, -752, -696, -612?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 47406 = -4*b, 25*f + 2*b = 23*f + 94764. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -233, -620, -1145, -1802, -2585, -3488?\n\"Answer: c**3 - 75*c**2 - 169*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253 and 138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 5*p**2 - 5*p + 4 - 2 - 2*p**2 as y + t*p**2 + l*p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/7 + 437342*w\/7 + 437344\/7 = 0.\nAnswer: -1, 218672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 12:59 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-9)\/4 - (-473)\/4. Suppose -q - 5*u + f = 0, -q = 2*u - 4*u - 104. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 9. Let b be o(-7). Let g = b - -5. Solve g*y + 0*y - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**2 + 14 - 5 - 9. Let d(q) = 6*q**2. What is d(b(j))?\nAnswer: 486*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) -0.2 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, u: 1, r: 1, a: 1}. What is prob of sequence kr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 - -210. Suppose -r*w + 50 = 3*w. Solve 0 = -w*p - 3*g - 3, 6 = 5*p - 2*g + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(3\/8)*y)*y\/y**(-16))\/(y**(10\/7)\/(y*y**5)) assuming y is positive.\nAnswer: y**(1187\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522004353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3100 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 363274 divided by 2?\nAnswer: 181637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*g + 4*g. Solve 0*a = -g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 + 89. Is (4\/3)\/(0 - h\/72) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2, -469, 1.9, 2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 51 = 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4*u**2 - 2*u + 2. Let m(y) = y**3 - 8*y**2 + 6*y + 7. Let l be m(7). Suppose l - 12 = 4*r. Let v be p(r). Let t(a) = -a + 1. Calculate t(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, 16.49, 0.03, 0.02, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:58 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**2 + 2*b + 14. What is the remainder when 308 is divided by f(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -671 + 673. Let v(m) = m**3 - m**2 + 5. Let y be v(0). Which is the second smallest value? (a) x (b) y (c) 157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5\/3*u**3 + 0*u**2 - 11 + 0*u. Let a(h) = -2*h. What is k(a(v))?\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -90\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 12400, -7\/29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 5 + -2 - 35. Let u = 119 + p. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237392 is divided by 5235?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(2*-1*-1). Let i(q) = -3*q**2 - 339*q + 347. Let k be i(-114). Suppose c*y = -k*u + u + 314, y - u - 61 = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -1\/6, 0, -214873, 0.2 in ascending order.\nAnswer: -214873, -4, -1\/6, 0, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 - 7*z**2 + z - 9. Let s(k) = 3*k**3 + 5*k**2 - k + 6. Suppose 207*d + 136*d - 667 = 1734. Give d*s(i) + 5*b(i).\nAnswer: i**3 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24042 - -1040?\nAnswer: 30132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -h - 177. Let s = 681 + h. Suppose -10 = -2*f, 5*f + s = 9*k - 4*k. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 7:47 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 2:51 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6303?\nAnswer: 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 6, q: 1, i: 3}. Give prob of sequence iff.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o - 10. Let b be m(-7). Let r = -128 + 237. Let g = r + b. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**10\/7560 - q**9\/945 - q**8\/420 + q**4\/8 - 6*q**2. Let r(f) be the second derivative of z(f). Factor r(b).\nAnswer: -4*b**3*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10675.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 8136*y**3 - 6128688*y**2 + 830522880*y - 31260979200.\nAnswer: -3*(y - 1276)**2*(y - 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 24 = 7*y. Find the third derivative of -s**2 + 6*s**4 - 9*s**2 - 7*s**5 - 6*s**y wrt s.\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)\/z)**(-29))**(1\/5) assuming z is positive.\nAnswer: z**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11811059 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - d**2 - 14*d - 2. Let f = -7029 + 7037. Let r(x) = x**3 - 5*x - 1. Give f*r(s) - 3*g(s).\nAnswer: 2*s**3 + 3*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1793.6673 hours to days.\nAnswer: 74.7361375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 80 = 4*h, -l + h = -10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -287*r**5\/60 + 31*r**4\/24 + r**3\/3 + 669*r**2. What is the second derivative of x(f) wrt f?\nAnswer: -574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*p - 50, -317*c = -p - 313*c - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2409, -8570, -18827, -33174, -51605, -74114, -100695?\nAnswer: -131342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuutttutttttutttttu. What is prob of sequence ut?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5*q**3\/3 - q**2 - q - 1. What is the units digit of r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6959.\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {d: 1, e: 5, k: 1, a: 4, j: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 26*r**2 + 29*r - 100. Let k be m(25). Are 0 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2323 - 2235 - (-2648)\/(-30).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 56*t - 8*t - 9*t + 47*t to the form p*t + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 11*q + 14. Let t be j(10). Suppose 5*i = -c - 4, 2*c + 12 = i + t. Solve -3*f + 2*b = -7, 2*b + 4 + i = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2533.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 3*q**2 + 3*q + 5. Let f(n) = -n**3 + 4*n**2 - 6 + n - 7*n + 2*n. Let j be (23 + -25)*3\/(-2). Determine j*f(b) + 4*x(b).\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/9 - 46*u**3\/9 + 314*u**2\/9 - 34*u - 252.\nAnswer: 2*(u - 9)**2*(u - 7)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 335435234 + -3?\nAnswer: 335435231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 23*q - 12 = 0. Solve 8 = q*w - 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67312 is divided by 22430?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44919061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-364)\/(-195) - (-4)\/30. Sort v, 4, 3 in decreasing order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 108. Suppose 2*j - 4*x - 66 = 0, 24 = 4*j - b*x - 114. What is the remainder when 102 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 2*g, g - r - 17 = -6. Is (-2)\/16*-26*g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 3003 = 22*h - 359. Is 23 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*j = -2*k + 55, 0 = 3*j - 3. Suppose m = -13 + 17. Calculate the lowest common multiple of m and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 4*o - 3*v, 0 = v - 4*v + 15. Suppose 3*d - 5*n + 0 = 8, -4*d = -n - o. Solve t + d = 3*q, 5 = -3*t + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419 is divided by 801?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-5)*(-20)\/(-4). Let h be (-6)\/30*5\/r. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765936841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {x: 6, h: 8, r: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52575, 210291, 473151, 841155, 1314303?\nAnswer: 1892595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 29. Suppose -7*g + 912 = 5*g. Let s = g - 65. What is the tens digit of k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - x + 1. Let w(g) = -3*g + 3*g**2 + 0*g - 3 + 4. Let s(h) = b(h) + w(h). Determine i so that s(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrorrrrotrrortr. Give prob of picking 1 t and 1 r.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*u - 60*u + 94*u)*(-5 + 4 - 1)*(-2*u + u + 0*u).\nAnswer: 198*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133761, -267392, -400893, -534264?\nAnswer: -667505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - ((-3)\/1)\/1. Differentiate -6 + 0*i**3 + 0*i**3 + 3*i**d + 8 with respect to i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20473 is divided by 6813?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 11 = 1. Let s(x) = -44*x**3 - x**2 + 9*x + 9. Let w be s(-1). Suppose 0 = -45*n + w*n - 4. Which is the nearest to u? (a) -4 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -37. Let f be -1 - (-2 + 18 + -4). Let r be (-4)\/(f\/5 + 3). Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*r - 15 = 107*r - 5*i, 3*r - i = -29 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 5*l + 3*l)*(-9*l + 4*l - 21*l + 3*l + 0*l - 5*l + l + 0*l + l + (-l + 3*l + 0*l)*(1 + 1 - 1)) in the form b*l + x*l**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2\/2 + 5. Let y be l(-8). Suppose -b - 2*p + 33 = 7, -2*p = y. Calculate the remainder when b is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 3*t - 3. Let s be w(4). Let g be s\/4 - (-4)\/(-16). Let i(l) = -l - 3. Let h be i(g). Is h <= -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3*i**3*u + 15153103*c**3*u + 2*c**2*i**2 - 50*c*i**3 + 7*c*i**2*u + 10650*i**3*u wrt c.\nAnswer: 18*i**3*u + 90918618*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 + t**4 + 3*t**4)*(5 + 0 - 2).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/3 - 35*m**3\/3 + 181*m**2\/3 + 875*m\/3 - 1300 = 0.\nAnswer: -39, -5, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 7*g)*(6 - 3 - 2) as y*g + w and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2452 + -2217. Calculate the remainder when u is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160407.\nAnswer: 3, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2. Let a(h) = 0*h**2 + 4*h**2 - 9*h**2 - 9*h**2. Give a(k(s)).\nAnswer: -350*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 8*h + 25. Suppose h = -2*g + 54 + 24. Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/720 - 3*i**5\/10 - 65*i**4\/3 - 2704*i**3\/9 + 1229*i**2 + 3. Let u(g) = 0. What is g?\nAnswer: -52, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.1. Let b = -3.8 + 3.69. Let k = b + -7.89. What is the third smallest value in 3, k, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z. Let p be g(1). Suppose 2*d - p*d = -15. Suppose 3*v + d*r = 90, -3*r - r - 69 = -3*v. What is the remainder when 79 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48543263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 453486753 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/4 + 3\/12. Let d(x) = -x**3 - 15*x**2 + 3*x - 15. Let k be d(-15). Let p be k\/(-210) - (-3)\/(-7). What is the closest to 3 in 0.3, p, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.07 + 18. Let l = -1937\/5 + 1939\/5. What is the biggest value in l, -1, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 823 + -822.7. Sort v, 1\/4, -1, -11 in descending order.\nAnswer: v, 1\/4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 169a9 + 54b?\nAnswer: 17227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.40506 hours to days.\nAnswer: 8.7668775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (37 - 2) + -74\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*k - 0*k + 4, -2*f + k = -7. Put 1\/7, f, 4, 5, -3 in ascending order.\nAnswer: -3, 1\/7, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -63. Suppose -u = -78 + l. What is the greatest common divisor of 114 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11627*y + 57. Let a be q(9). Round a to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22023944 and 0.2?\nAnswer: 4404788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.594275kg to grams.\nAnswer: 9594.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8284*h*y**3 - 648*h*y - h - y**3 + 100*y + 2 wrt y.\nAnswer: 49704*h*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqmt when four letters picked without replacement from tttymmmmtrtmmtq.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/300 - w**5\/25 - w**4\/12 - 17*w**2. Determine o, given that n(o) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4074.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*y = 4521 - 37596 for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -1706, -3781, -6696, -10457?\nAnswer: -15070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 13, 63, 163, 331, 585?\n\"Answer: 3*t**3 - 2*t**2 + 3*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 4, l: 8}. Give prob of sequence lfl.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 3. Suppose 0 = 4*m + 5*p - 84, 5*p - h - 12 = 0. Calculate the greatest common factor of m and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1102, 1638, 2172, 2704, 3234, 3762, 4288?\nAnswer: 4812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - u + 5. Let z(s) = -s**2 + s - 1. Determine -p(a) - 4*z(a).\nAnswer: a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 1597 = 1541 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (6 + 60 - -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 50372.5mm?\nAnswer: 50372500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) 5 (c) -505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x - 32 = 0. Let h be (3\/3 + 2)*x\/(-108). Let n = 152 + -147. What is the biggest value in 0.4, h, 0.05, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72133.6266s to weeks.\nAnswer: 0.1192685625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + 3*y**2 - 4*y + 6. Let u(z) be the first derivative of -7\/2*z**2 + 11*z + 5\/3*z**3 - 1 - 9\/4*z**4. Let f(p) = 6*u(p) - 11*w(p). Factor f(r).\nAnswer: r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 3. Let c(h) = 3 + 0*h + h**3 + 2*h + 4*h**2 + 3 - 4. Let k be c(z). Put k, -2, -1 in decreasing order.\nAnswer: k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65.91 - 66.4. Let p = -2.928 - 0.072. What is the third smallest value in -2, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 - z + 34. What is o(-20)?\nAnswer: -1546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 9. Let p = s + 10. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) -66 (c) -0.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7784 and 207424.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10597744?\nAnswer: 2, 19, 71, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -10, 3, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 3*u**2 + 2. Let p be s(-3). Suppose 0 = -p*y + 4*y + 8. What is the units digit of 0 - 1 - y - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156159028 to the nearest one million.\nAnswer: 156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -246 + 171. Let n = -75.57 - d. Let s = n + 0.03. Round s to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 - 836*h**2 - 302*h + 6390. Determine s(279).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 682*a**3 + 1646*a**2 wrt a?\nAnswer: 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - 8604*(5 + -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f\/(f*f*f*f*f\/f**(-1\/22)))\/f*f*f**(3\/7)*(((((f\/f**(4\/3))\/f)\/f)\/f)\/f*f)\/(f\/(f*f\/(f*f**(1\/2)))) assuming f is positive.\nAnswer: f**(-1490\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/4 - 11*n**3\/3 + 31*n**2\/2 + 54*n. What is the tens digit of w(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11587 + -57933\/5. What is the second biggest value in -4, 11.54, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 4*r + 26. Let u be q(-9). Let k(l) = -l**3 - 18*l**2 + 8*l - 23. Does 31 divide k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 100 = -0*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5092 and 1292.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 184215, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3.964. Let y = 0.136 - m. What is the third smallest value in y, 3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -730 - -719. Let a be ((-96)\/(-10) + j)\/(1\/5). Let k(m) = m**3 + 9*m**2 + 5*m - 8. Give k(a).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 20 = 0. Let y be ((-10)\/g)\/(3\/(-6)). Suppose 10*h = 5*h + f + 30, -5 = -4*h - 3*f. Solve b - y*b = h*i - 12, 16 = 4*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) - (-28)\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2557935 hours in days?\nAnswer: 0.0106580625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 96, 130, 168, 210, 256?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342 = 64*u + 354 - 676. What is the greatest common divisor of u and 4394?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18765 - 18765. Which is the fourth biggest value? (a) q (b) 0.3 (c) 4\/3 (d) 6 (e) 0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4 + 4)*(-5*v**2 + 2*v**2 + 2*v**2) - 3 + 3*v**3 + 3 + 34 + 91*v**3 - 34.\nAnswer: 96*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -29*t + 1017389. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 2 + 1 - 4 + (-3 + 5 + 0)*(2*d - 3*d + 3*d) + 2*d + 2*d - 2*d.\nAnswer: 7*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, 209, 2\/13?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.50651 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 10524190.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/169)\/((-18)\/(-117))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - y**4 - y**4 - 5*y**4 + 21*y**4 + 0*y**4 + (-19*y + 30*y**3 + 19*y)*(2 - 2 - y).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 + -11)*(-1)\/(-3). Suppose -7*q + 264 - 243 = n. Put 1, 2, -6, q in increasing order.\nAnswer: -6, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 42\/1 + -3. Let j = -19 + b. Let p(t) = -j + 40 + 2*t - 19. Let o(n) = 6*n. Determine p(o(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/3 - 14342*a**3\/3 + 1299004*a**2 + 15760088*a\/3 + 15817424\/3 = 0.\nAnswer: -7433, -2, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -18. Let q be (-1)\/34*(1 + 3). Which is the closest to 0? (a) 0.2 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r + 29. Suppose 58 = -x + 3*x. Let d(c) = 6*c + x - c + 9*c. Let h(q) = -4*a(q) + 3*d(q). What is the derivative of h(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(10\/(-84) - (-4)\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.034 - -3.094. Let o = b - -0.04. Let p = o - 3. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.43 and 0.5.\nAnswer: 0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/15 and (-11)\/(-396)*(-762)\/4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -60, -90, -122, -156?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 + 612570484?\nAnswer: 612570797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**5\/120 - 23*y**4\/72 - 10*y**3\/3 + 12*y**2 - 12*y. Suppose k(t) = 0. Calculate t.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263797 - 263808.49554. Let f = 11.5 + z. What is f rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 7660659 + -86.15.\nAnswer: 7660572.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 - 88*v + 338. Give h(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3040)\/448*(-161)\/230.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 119. Let x(w) be the first derivative of 2\/21*w**3 - 2\/35*w**5 + b*w + 0*w**4 + 0*w**2 - 2. Factor x(r).\nAnswer: -2*r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 5)\/(-1)*-1. Let q = d - -3. Which is greater: -2\/7 or q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 534*v**5 - 293*v**2.\nAnswer: 32040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v, 8*v - 2 = 2*j + 3*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0, -5, -1\/79, 218, -0.2?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/17830 and -95\/22?\nAnswer: 196130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4488 and 4896?\nAnswer: 53856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -380386*x**5 + 151503*x wrt x.\nAnswer: -7607720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5540003*j*m**2 + j + m**3 - 190314*m - 41 wrt m?\nAnswer: 11080006*j + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-2 + 0 + 3)*(-67 + 19*p + 115 - 57) to the form u + y*p and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/51811 - -51808\/155433. Are -15257 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -11*u + 15*u, 0 = j + 3*u + 14. Let i be 16\/(-24) - 26\/(-30). Which is the fourth biggest value? (a) 2 (b) j (c) 3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1527540960 to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {j: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:44 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose -3*f + s*k + 2*k = 0, 0 = -5*f + 2*k + 14. Solve -f*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 - 175. Calculate the remainder when 37 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 38898.45 seconds?\nAnswer: 648.3075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*x - 22, x = -g + 8 + 1. Let j(o) = -o**2 + 13*o - 12. What is the units digit of j(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 5, b: 2, z: 3}. What is prob of picking 2 k and 2 b?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let s(a) = -4*a - 19. Let t be ((-30)\/9 + 0)\/(394\/(-591)). What is t*j(w) - s(w)?\nAnswer: -w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -184?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r - 236. Let k be z(30). What is the common denominator of k - 98\/21 - (-209)\/12 and -44\/85?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvbvvvvvvvvvbvvb. Give prob of sequence vb.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*3 + 1211\/(-140) and 91\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*b - 361*b = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**22\/k*k)\/(k*k*k**(-15)))\/(k**16)**(-8\/3) assuming k is positive.\nAnswer: k**(233\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 381*a**3*h + 141*a**3 + a**2 - 12*h + 15 with respect to h.\nAnswer: 381*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1377) - (sqrt(1377) + sqrt(1377) + 1 - sqrt(1377))*1)**2*-1 + 2*sqrt(1377)*1 + -1 + 2.\nAnswer: -5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8231*x**5 + 22*x**4 - 4327968*x?\nAnswer: -164620*x**3 + 264*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d + 45. What is s(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259308627?\nAnswer: 3, 1181, 73189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 56847978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**3 + 2*l + l**2 + 2 - 13*l**3 + l**2 - 3*l**2. Let a be x(-1). Suppose 3*p + 2*h - 6 = 1, -a*h - 11 = p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 562.053 centuries?\nAnswer: 56205.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 - 21*u**4 + 18*u**3.\nAnswer: 3*u**3*(u - 6)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 9*c**2 - 12*c + 33. Let a(z) = z**3 + 5*z**2 - 6*z + 17. Let j(o) = -5*a(o) + 2*n(o). Does 59 divide j(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Suppose -5*o + 18 = 5*w - 2, -17 = -4*w - y*o. What is the third derivative of 0*k**2 - 2*k + 2*k - 2*k**w + 2*k**2 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + 128\/266*4. Let j = t + 10361\/1596. Calculate the common denominator of j and 89\/38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 318338466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1131)\/(-221) + 2\/(-17). Suppose 0 = -n - 2*n - 3, 4*o - b*n = 313. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*g + 56, 0 = -4*g - 1 - 7. Suppose 0 = b - o - 5. What is the greatest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 166 and 3\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(117) - (sqrt(117) + 2 - sqrt(117))) + (sqrt(117) - (sqrt(117) + 3 + 2)**2) + -1*((sqrt(117) + 0)*-2 + 5).\nAnswer: -147 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -27*r**3 - 33*r**2\/2 + 33*r - 192. Let v(k) = -5*k**2 - 2*k + 2. Calculate -6*m(p) + 99*v(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48776 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, u: 1, k: 1, c: 1}. Give prob of sequence ct.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*(h\/h**(-10))\/h)\/h*(h*h**(2\/19))\/h)**(-2\/57))**(4\/9) assuming h is positive.\nAnswer: h**(-1688\/9747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o - 15*o - 6*o**2 - 29 + 21 - o**3.\nAnswer: -(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 17. Let p be t(-7). Let f(k) = 15*k + k**2 + 8 - 2*k**2 - 21. Is f(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142901 times 61.43?\nAnswer: -8778408.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 27*d + 176. Determine n(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 17. Let d be f(-9). Solve 0 = 3*u + 7 + d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5397, 42838, 144515, 342546, 669049, 1156142, 1835943?\n\"Answer: 5353*a**3 - 30*a + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -868 - -994. Calculate the lowest common multiple of 693 and i.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/3 + 20*h**2\/3 + 4*h\/3 - 80\/3 = 0.\nAnswer: -2, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/151, 4, 1922.\nAnswer: -2\/151, 4, 1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -1 - 11. Suppose -a + 4 = 3*a. Suppose -4*f + 3 = 3*v - a, 0 = -5*v. Sort 5, k, f.\nAnswer: k, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -449 (base 16) to base 7.\nAnswer: -3125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1324.48 + -1221. What is y rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (-8)\/(-24)*49*51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78332 - 261886 = -41*g. What are the prime factors of g?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0 + 1\/6*y**3 - 3*y**2 + 0*y + 1\/30*y**5 + 1\/8*y**4. Give t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:15 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2 + 235*w - 4526. Determine x(12).\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4243?\nAnswer: 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = k - 40, 2*k - 6*k = 5*p - 126. Let v = 30 + 26. Let c = v - k. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00165370987 rounded to five decimal places?\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -25*j**8\/84 - 5*j**5\/12 - j**2 + 12*j. Find the third derivative of p(c) wrt c.\nAnswer: -6000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**2 - 3*i + 3*i - 21*i**2 + 1 + 173*i**2 - 86*i**2.\nAnswer: 89*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-248)\/16 + 1\/2. Let o = 17 + j. Suppose k + 6 = 3*m, -m + 4*k - 4 = 5. Solve o*v - m*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s**2\/s)\/s*s*s*s))*s*s**1)**(-5\/12)*s\/s**(2\/3)*s**(1\/3)\/s*((s**(-3\/7)\/s)\/s)\/(s*s**(-2\/3)\/s) assuming s is positive.\nAnswer: s**(-117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8*r. Suppose -2*d - 5*c - 30 = r, -2*d + 14 = -4*d - c. Which is smaller: d or -17\/3?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5843*i + 10*i**2 + 4*i**2 + 6*i**2 + 5843*i.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 5*u - 3. Let b be l(6). Suppose -1 = -4*p + b. Let o(a) = a**3 + a**2. What is the lowest common multiple of 1 and o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3939.5 + 3940. Let u = -2 + 3. Sort b, u, -5.\nAnswer: -5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 2*x - 3. Let a = 0 - 3. Let g = -19 + 20. Suppose -g = 3*m + 5. Let d(i) = 2*i**2 - 2*i + 2. Determine a*d(o) + m*k(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2. Let t = 18 - -13. Let h = t + -24. Let r(a) = 7*a - a**2 - h*a - a**2. Calculate d(r(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3208709 = 4*o, -461*q + 456*q = o - 802172. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3638 - 4435 = 123*b - 447 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -154 - 56. Solve 10 = 5*a + t, -5*a = -0*t + 5*t - c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4571699 milliseconds to microseconds.\nAnswer: 457.1699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 12. Let m = -49 + 29. Let q be l(m). Solve -d + q = 3*t - 8, 4*d - 3*t = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 9) + 9 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.141, 3.525, 1, 0.1.\nAnswer: -3, -0.141, 0.1, 1, 3.525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80377, -321525, -723443, -1286131?\nAnswer: -2009589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-396)\/135)\/(-2 + 26\/20) and 119\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 7*b**2 + 8*b - 5. Determine p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171 - 172. Put s, 1\/2, 2\/19, 3 in descending order.\nAnswer: 3, 1\/2, 2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3 + 19600 + 2087*d + 1277*d - 136*d**2 + 1326*d - 350*d = 0.\nAnswer: -4, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + 4 + 2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6))\/(w\/(w*w**(13\/3)))*w**(1\/5)*w**1 assuming w is positive.\nAnswer: w**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001501706 to seven dps.\nAnswer: -0.0001502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*d + 1216 = 21*d - 422 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let l(i) = -1251*i. Give q(l(b)).\nAnswer: -1251*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 25*n + 22. Let u be l(9). What is the fourth smallest value in u, -4, 0.3, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*s - 24*s + 13*s - 5)*(s + s + 0*s)*(-55 - 24 - 13) to the form g + a*s**2 + x*s and give x.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.58 + 6.102.\nAnswer: -10.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose -g = u - 0. Let a = 38 + u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30225 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115929\/38 + -3050. Calculate the common denominator of 137\/110 and d.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.309 - 48060.\nAnswer: -48060.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 - (1 - 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722359 is divided by 2106.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxpppxxpxx. What is prob of sequence xxxp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.043 - -2.957. What is the closest to 1 in 5, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*l + 3632, -5*d - 2*l - 3357 = -9393. What are the prime factors of d?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/((-4)\/(-4)). Let i = -7.9 - -2.95. Let l = 0.05 - i. Which is the third biggest value? (a) l (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -19. Let t be (-1 - -7)\/z + -13. Let l be (-1 - 1) + (-24)\/t. What is the closest to 0.1 in -4\/3, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 4, w: 1, c: 3}. Give prob of picking 1 c, 1 w, and 1 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 3*t - 40 + 41. What is l(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20110 - 1222022?\nAnswer: -1201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2669*c - 2669*c + 51*c**2 as t*c + w*c**2 + z and give w.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*m = 14 - 1, -x - 3*m - 1 = 0. Suppose -4*v - v + 51 = 4*z, -2*z - 20 = -4*v. Suppose 4 = 5*f - 11. Solve -v = -f*b + x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -29*g**3 - 11*g**2\/2 + 11*g. Is x(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 y when four letters picked without replacement from {l: 4, m: 4, y: 6}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -158. Let l(n) = 45. Let s(r) = -7*l(r) - 2*t(r). Let w(b) = b - 11. Give 2*s(u) + w(u).\nAnswer: u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1118630*b**4 + 481*b**2 - 225*b + 2 wrt b?\nAnswer: -26847120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 1610*t - 24200\/3.\nAnswer: 2*(t - 2420)*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -71196.3 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.5 - -26. What is g rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108345, -216967, -325589, -434211, -542833, -651455?\nAnswer: -760077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16578841 rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4 - 2*b + b + 3*b. Suppose 4*j + 1 = -15. Let t be (-10)\/(-2) - j\/(-2). Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 3*x = 34, 3*s = -3*x - 30. Let m = s - -2. Let w be 140\/6 + 2\/m. Solve w = -5*d - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 5*z**2 + 5*z + 2. Let x be r(-3). Let v(j) = -j**2 + 6*j + 3. Let y be v(x). Solve 0 = 4*w + 3*n - y*n - 9, 4*w + 5*n + 41 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40981?\nAnswer: 107, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*c - 1 + 168*c**2 - 167*c**2 + 1 to i*c + w*c**2 + y and give i.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10452\/162547 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -2\/3, -5, 3, -70?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*6\/9*16\/(-32)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - 622029370686?\nAnswer: -622029370720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -294938829 to the nearest 100000.\nAnswer: -294900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.76844 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31800 - -31802.85. What is s rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -953671898, -953671897, -953671896?\nAnswer: -953671895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5894487 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1007 by -1.\nAnswer: -1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 69, -10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4 - 2. What are the prime factors of g\/18 + 250\/12?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*p - 703 + 144 = 2831 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 26671.211 * -0.41\nAnswer: -10935.19651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/7 - 15628*l\/7 + 31252\/7 = 0?\nAnswer: 2, 15626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 20*r**2 + 21*r + 9. Calculate o(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/528*(-16)\/(-20)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 62*y - 84. What is the least common multiple of 51 and t(-24)?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -6, 1 in increasing order.\nAnswer: -9, -6, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**5\/5 + 4*u**4\/3 - 2*u**3 - 4*u + 19. Let t(w) be the first derivative of q(w). Factor t(f).\nAnswer: -4*f*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b97247 (base 16) in base 4?\nAnswer: 232113021013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18808 - -18?\nAnswer: -18780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -143, -140, -137?\n\"Answer: 3*f - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5249\/15145 - -1\/2330. Let f = 119\/494 + o. Sort -3, 4, f.\nAnswer: -3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -48. Suppose 78 = -8*d + i*d. Suppose 5*v - d = -4. What is the remainder when 12 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - 2*w + 1. Suppose 4*b = -4*t + 9 + 3, 5*b - 4*t = -3. Let x be z(b). Suppose 5 = 3*q - x. Solve -2*c = -2*g - 20, 11 - 1 = q*g + 5*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.0165?\nAnswer: 5.0165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5211.356ml?\nAnswer: 5.211356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(44\/(-22)))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -5, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 10*b - 5. Let i be r(-11). Suppose 0 = i*o + 143 - 527. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*p + 74*p = -172030. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, 1, -2\/11, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/8 - 12*k**4 + 585*k**3\/8 + 663*k**2 - 9429*k\/2 - 5292 = 0.\nAnswer: -7, -1, 8, 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -172, -43, 86, 215, 344?\n\"Answer: 129*y - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u - 7\/6*u**3 - 7*u**2 + 0. Is 14 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -299 + 526. Let x = a - 227.34. Round x to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-81))\/((-2)\/(-6)). Let l = 8.55 + -354.55. Let f = l - -341. Which is the biggest value? (a) f (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r + 8 = 5*n, -2*r = -2*n + 4. What is the remainder when (-33 + -2)*6\/(-5) - n is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3731*l**2 - l. Let v(x) = 37*x. Give v(j(t)).\nAnswer: 138047*t**2 - 37*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let d(v) = 492249766*v. What is d(r(z))?\nAnswer: -984499532*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4320 and 3168.\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4595 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 2*m**2 + 3*m - 1. What is z(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 1722*q - 496314. Calculate l(-366).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*y - 21, 0*y - y - 5*h = -18. Suppose o - 8 = y. What is the remainder when o is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 - 2*r - 1. Let j = -533 - -536. What is n(j)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - k**4 + k**4 + (k**3 - k**3 + 2*k**4)*(2 - 1 + 1) + 0*k**4 + 5*k**3 + 4*k**4 - 2*k**3.\nAnswer: 7*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-56))\/((-2)\/6)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 17 = 3*d - 2*v, 0 = 3*d - 3*v + 3. Suppose -d*h = -8*h + 10. What is the third derivative of -c**h + 3*c**2 - 4*c**3 + 2*c**3 wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 2. Let v be i(3). Calculate the remainder when 5 is divided by (-1)\/(-4) + (-15)\/v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(1*sqrt(96))*-1.\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*r = -15, -h - 1 + 3 = -2*r. Suppose -2*g + 2*z = -h, -16 = g - 6*g + 2*z. What is the units digit of ((-1)\/(g\/(-76)))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k - 24*k + 1638 = 21*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -575 - -515.9. Let h = g - -59. What is the smallest value in -2, -1, 1\/8, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -995*4\/(-1520) - (-141)\/188. Factor -m - 8\/19*f**2 - 2\/19*f**3 + 56\/19*f.\nAnswer: -2*(f - 2)**2*(f + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*sqrt(112)*3 - sqrt(112))**2.\nAnswer: 11205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69972018 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c**2 - c**2)*(1016 + 295 - 34).\nAnswer: -2554*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*v = -41186, -2*q + 82345 = -3*v + 6*v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620180816.\nAnswer: 2, 2683, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 + 2769054*d**2 - 38766315*d + 135681588 = 0. What is d?\nAnswer: 7, 923004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 225*k**2 - 1\/360*k**5 - 7\/72*k**4 + 0 + 8\/9*k**3 + 0*k. Determine s so that z(s) = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -21*m**4\/4 - 44*m**3 - 141*m**2\/2 - 30*m - 7. Factor z(i).\nAnswer: -3*(i + 1)*(i + 5)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q**2 + 2*q**2 + 2 + 2*q**2 to k*q + o + v*q**2 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:32 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d**(-3)\/d)\/d)*d*d**(-7)*d)\/(((d**(3\/2)\/d)\/d)\/(d**(-2\/9)\/d*d*d)))**48 assuming d is positive.\nAnswer: d**(472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24960 and 15600.\nAnswer: 124800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 2*p - 3*p, -4*y = p - 21. Suppose -191 = -y*d + 253. Suppose -h + d = -15. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.924 * -0.06.\nAnswer: 0.23544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2 - (-7 - -21). Let s be 4*(2 + 38\/c). Put -2, s, -1 in increasing order.\nAnswer: -2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389050 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 488, 978, 1468, 1958, 2448?\n\"Answer: 490*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16854794*j**3 - 7000585*j?\nAnswer: 101128764*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -103, -202, -353, -562, -835?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -3*x - 17 - 1\/3*x**3 + x**2. Let r(u) be the second derivative of u**3\/6 - u**2\/2 + u. What is c(d) - 3*r(d)?\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**2 + 33*x - 11. Let o be h(5). Does 11 divide ((-3)\/(-9))\/(o\/2220)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + o = -4*o + 51, 2*o + 29 = 3*z. Suppose 2*k + 1 = z. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34009368040 - 30.52?\nAnswer: 34009368009.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418982 by -209491.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g - 15*g - 3*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75258 is divided by 710?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28496.41s to microseconds.\nAnswer: 28496410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(12\/(-15)) - 9. List the prime factors of 0 + 2 - (x - 373).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8 = -2*z, -2*r - 227*z + 232*z = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - k = 61, -7*m + 76 = -2*m - k. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*g + 623 = 50*g + 2562 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**3\/2 - 11652*p**2 + 22628184*p = 0.\nAnswer: 0, 3884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*g + 219*g + 2 - 3 + 3*g**3 to the form u*g**3 + q*g**2 + x*g + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/35 - (-42)\/5. Suppose 0 = 2*o - u, -4*m = o - 7 - 5. Is 10\/(-15)*(-57)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/31)\/(l**(-3\/28)*l))**(3\/32) assuming l is positive.\nAnswer: l**(-2493\/27776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -50. Let i be 9\/(-1)*-27631*1. Suppose -n*d = 83479 - i. Round d to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 11*i - 30*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 7) to base 2.\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/11))\/m**(-1)*(m**1)**(-1\/39) assuming m is positive.\nAnswer: m**(769\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764115592?\nAnswer: 2, 17, 5618497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166836654.\nAnswer: 2, 3, 389, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 6 - 2*w**3 - 4*w + 0 - 8. Suppose -6 - 2 = 4*i. Determine q(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k. Let t(v) be the second derivative of -7*v**3\/6 - 48*v. What is f(t(h))?\nAnswer: 70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 4*i - 3. Let u be z(-5). Suppose -9*k + 123 = -u*k. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5)*z**(3\/10)*z)\/(z**(-4)\/(z*z*z**(-7)*z)) assuming z is positive.\nAnswer: z**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478682 divided by 2?\nAnswer: 739341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19056 + 32905. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 15) in base 7?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = -3*g + 14, -8 = -g + 5*l. Let m = -2 + 23. Let j be (m\/(-7))\/((-66)\/(-4)). Which is the third smallest value? (a) j (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 515530.6ml?\nAnswer: 515.5306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*k**2 - 32\/5 - 4*k.\nAnswer: -2*(k + 2)*(k + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/((-29240)\/2108))\/(((-9)\/9)\/(5*1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/182 and -19\/1414?\nAnswer: 18382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/11359 - -22711\/79513. Let q be -1*1 - 8\/(-5). Which is the second biggest value? (a) q (b) 27 (c) 0 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3. Suppose 4*g = -g + 20. Suppose 0 = -g*x - 3*d + 4, 0 = -5*x - d - 3*d + 4. Put u, -1\/3, x in descending order.\nAnswer: x, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 b when three letters picked without replacement from {d: 1, q: 2, x: 1, g: 1, r: 2, b: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -145.5.\nAnswer: 145.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*(-1914)\/99. Suppose 0 = -2*d - 5*t + s + 131, 5*d - t - 454 = 0. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5606 - -5870. Calculate the remainder when 803 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108794 or -0.41?\nAnswer: 108794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18 and 79\/7089738?\nAnswer: 21269214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.9047 - -0.0047. Let j = o + 28.9. Sort -11, -5, j, 1 in descending order.\nAnswer: j, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37332381, 74664756, 111997131, 149329506, 186661881?\n\"Answer: 37332375*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/198568 and 89\/14247254.\nAnswer: 56989016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5\/2, -2, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/55 - (-3096096)\/(-15)) + 6. Round r to the nearest 1000.\nAnswer: -206000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45914 and 9282976?\nAnswer: 102112736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 15 + 118 = 0. Let p(d) = d**2 + 9*d + 4. Calculate p(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 78. Sort t, 5, -1\/7 in decreasing order.\nAnswer: 5, -1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + 112*o = 5082 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87.1 + 91.1. Which is the biggest value? (a) -0.5 (b) -2\/19 (c) 2\/71 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1555027 is divided by 534?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 8*j**3 + 0*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00985 rounded to four dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4\/9 - 4*l**3\/9 - 2*l**2 - 53*l. Factor u(o).\nAnswer: 4*(o - 3)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 6760*m + 2284880.\nAnswer: 5*(m - 676)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m + 21. Let f be w(4). Let g be (-9)\/6 - f\/2. Suppose 10*c - 9*c - 44 = g. Calculate the remainder when c is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -1\/3*q**2 - 4\/3*q - 4\/3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6330)\/(-486) + (0 + (46 - 7))*6\/(-18)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8670815?\nAnswer: 5, 509, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -43938*v + 1739. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Suppose 5*h = 3*a + 25, -h + 4*a + 3 = -g. What is the third derivative of -m**2 - 7*m**2 - 2*m**h + 2*m**2 + 2*m**2 wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 28*f + 90 = 0. Is -57\/4 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -5*o + 2*r, -13*r = 3*o - 9*r - 20 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + v - 5)*(-2*v**3 + 3*v**3 + 0*v**3) + (-v**3 + v**3 - 3*v**3)*(-2*v + 1 - 1) to a + c*v + r*v**3 + p*v**2 + s*v**4 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4931, 4524, 4125, 3734?\n\"Answer: 4*f**2 - 419*f + 5346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*w**3 + 1 + 0*w**3 - 17*w**3 to the form o*w**3 + g*w**2 + b*w + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.947 times 3.3?\nAnswer: -3.1251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p - 7*p + 2*p**2 + 2 + 8*p - p**2. Let q be h(-13). Calculate the highest common divisor of q and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -5\/114, 2, 40?\nAnswer: -5\/114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612.23 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -315*k**2 + 58 - 25 - 33 as l + o*k + v*k**2 and give v.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*u**(1\/3)*u)\/u)\/u*u)\/u)**(2\/89))**(-1\/7) assuming u is positive.\nAnswer: u**(-2\/1869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (8 - 13) - (-3 + -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/9 and 119\/154116?\nAnswer: 154116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012814061 to six dps.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.97. Let f = 1.97 + y. Which is the second biggest value? (a) -2\/17 (b) f (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130*f**4 - 161*f**2 - f + 8752.\nAnswer: 520*f**3 - 322*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b - 56*b + b**3 + 20*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2084520 divided by -870.\nAnswer: -2396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = 2. Let s be -2 + t*(-3)\/2. Let w(k) = 3*k. Let m(f) = -f. Calculate s*w(u) + m(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7350399 plus -0.729?\nAnswer: 7350398.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 564\/16)*8\/(-2). Let z be 506\/v - (-4)\/(-10). Factor -1\/3*q**4 - z*q + 1\/3*q**2 - 1\/3*q**5 + 4\/3 + 5\/3*q**3.\nAnswer: -(q - 1)**3*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000603846 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3413 (b) 0.2 (c) 0.3 (d) -1\/88 (e) -9 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75858 and 245293?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k, -2*m + 9 = 5*k + 2. Let l(o) = -3 + o + 3 - 4. Let p be l(m). Solve -2*v + 8 = -p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z)\/((z*z**7)\/z))**(-6\/35)*(z**(-4)\/z*z**(-9))**(-31) assuming z is positive.\nAnswer: z**(15196\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 62. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3369\/4*c - 3\/8*c**2 - 3783387\/8 = 0.\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/2 - (1 - 1). Let t(q) be the second derivative of -q**5\/20 + 5*q**4\/12 + 5*q**3\/6 + q**2 - 1724*q. Determine t(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/138 and -115\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 24 = -7*g - 7*h, 0 = -8*g - h - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -6. Suppose -58*z = -28*z - 3510. Calculate the greatest common divisor of c and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - l - 369, 5*h - 259 - 1613 = -4*l. What is the remainder when h is divided by 113?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 5666*c - 5651*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029615 plus 7.2?\nAnswer: 7.170385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.206, 3, 2\/23, -0.1, -1793 in decreasing order.\nAnswer: 3, 2\/23, -0.1, -0.206, -1793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128494 is divided by 21410?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741*q - 3808122 = 10656939. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 5*n - 17. Let o be n\/(-22)*(-719 - 1). Suppose o = -j + 2*j. What is j rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699839 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0)**(-3\/29)*(g*g**(-1))\/((g**7*g)\/g)*(g\/(g*g**(-3\/2))*g**0*g)**32 assuming g is positive.\nAnswer: g**(2114\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 - w - 2. Let y be a(-7). Suppose 4*j - y = 11. Suppose j*f - 25000000 = 2*f. What is f rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*s + 24 - 67 - 243 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 28252938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 9 - 4)*(-7*n + 3 + 2*n + 8 + 7) to g + d*n and give d.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.696 * -1100.\nAnswer: -13965.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 118?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 40*n**3. Let i(k) be the first derivative of -70*k**4 + 1006. Determine -3*i(s) - 20*j(s).\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 203700617 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(7\/4)*(h**(3\/8)\/h*h)\/h*h*h)\/(h*h\/((h\/(h\/h**(-9)))\/h)*h\/(h*h\/((h*h*h**(-20))\/h))) assuming h is positive.\nAnswer: h**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/((-10)\/(-50))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1001212001100?\nAnswer: 1001212001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a**3\/3 + 2*a**2 - 10*a - 8. Let o be j(5). Let m = o - 24. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41)\/8 - (228\/(-96))\/19. What is the nearest to 4 in -1\/3, i, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16341, -16340, -16339, -16338, -16337?\nAnswer: -16336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 - 2*i**2 + 5*i + 150357. Is k(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 309 - 8959\/29. Which is the nearest to l? (a) 2\/21 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 16*y**2 + 13*y - 44. Let b be w(16). Is b < 164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-834)\/(-638) - 945\/3465. Sort 13, s, 0.5 in decreasing order.\nAnswer: 13, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111595219.\nAnswer: 29, 37, 104003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 5. Let i(g) = 4*g + 1. Let f be i(z). Let d be 32\/28*(-2)\/8. Which is the closest to 2? (a) f (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**4\/7 - 79*g**3\/7 - 41*g**2\/7 + 316*g\/7 + 228\/7 = 0.\nAnswer: -19, -2, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1.4.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -280*k**4 + 2*k**2 - 21*k. Let c(f) = f**2 + f + 1. Let m(u) = 2*c(u) - z(u). Find the second derivative of m(h) wrt h.\nAnswer: 3360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005363 rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.043 - -22.043. Sort 3, f, -3 in decreasing order.\nAnswer: f, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let j(o) = -2*o**2 + 33*o - 142. Let m be j(8). Let c(i) = -12*i - 1. Determine m*d(x) + c(x).\nAnswer: -6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211*x**4 + 154*x**2 wrt x?\nAnswer: -5064*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let n(v) = -8*v - 1. Let g(m) = 4*c(m) + n(m). Let a be -7 + 12\/9*9. Let o(h) = 5*h - 6 + 12 - a. What is -3*g(w) - 2*o(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**2\/2 - y - 2. Let q be u(7). Solve -4*t + t = q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 74, 140, 264, 464, 758?\nAnswer: 1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -3, -3102 in descending order.\nAnswer: -3, -53, -3102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u + 77*u = 4*s - 16, -3*s - 20 = -5*u. Which is the closest to 2? (a) 14 (b) -18 (c) 1\/3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24951 + 17821. Round w to the nearest 100.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = v - 4, 10 = 5*g. Let k = -22 + 24. Solve -k*u - 1 = 4*q + 1, -5*q + 3*u - 8 = v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 969324538 rounded to the nearest one million?\nAnswer: 969000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 11. Let h = -154 - -314. Let n = -88 + h. What is the remainder when n is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42055.\nAnswer: 5, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2acc746 (base 13) to base 16.\nAnswer: -d19bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15942\/7 - -2271. Let n = 47\/7 + s. Is -1\/4 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -512, -18, -1 in increasing order.\nAnswer: -512, -18, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108403.\nAnswer: 43, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -15*p - 1260. Let q = 10 - -9. Suppose -q = -4*n + 41. What is the highest common divisor of n and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 9. Calculate the greatest common factor of 136 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7892, -6714, -5540, -4370, -3204?\n\"Answer: -2*f**2 + 1184*f - 9074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6843 + -20.\nAnswer: -22.6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54074608*g**2*y - 70*g - 225776*y wrt g?\nAnswer: 108149216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 268 + -268. Suppose -1367*b + 1371*b - 292 = t. What is the remainder when 83 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20605717 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1675, 1755, 1889, 2077?\nAnswer: 2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**2*q**4*t - 3*p**2*t + 129*p*q**2*t + p*t + 163*q**4 + 2*q**3*t + 3*q**2 wrt q.\nAnswer: 72*p**2*q*t + 3912*q + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:20 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217.00123 - -217. Round v to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*d**2 + 4*d**2 + 0 - 6 - 1 - 4*d**2 to the form f + w*d**2 + p*d and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -40. What is the remainder when h is divided by (2 - 21\/6)*-10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millennium in decades?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/8)\/g*g**(-5))\/(g**(-5\/4)*g*g*g**16) assuming g is positive.\nAnswer: g**(-185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 35. Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 20 = 2*t - 7*f, 4*f + 33 = 5*t. Suppose 4*c - t*d - 410 + 69 = 0, 2*d = 5*c - 422. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + 0*j**2 + 3*j + 9 - 6. Let a(m) = -4*m**2 + 4*m + 4. What is 3*a(b) - 4*i(b)?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 601*r**3 - 2 - 3*r + 4*r**2 + r**4 + 601*r**3 as p*r**3 + w*r**4 + b + i*r + d*r**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*q - q. Let i be q + -1 - -6 - 2. What is the third derivative of -3*l**i + l**4 + 3*l**4 - 3*l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3640 and 5330?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 12*v + 6 = -l, 4*v - 4*l = 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.061 + -27.061. Let f = 13 + t. Let u = 23 + f. Is 2\/7 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v**3 + 2*v + 4. Calculate the remainder when l(-2) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4)*2 + -4 + 4. What is the hundreds digit of -10*a\/4*(-2604)\/105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 4)\/(-3) - 0. Solve -5 = h, -5*h = 2*a + v*a + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 11*q**2 + 6*q + 3*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 1.9782, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - (-54)\/12. Suppose 5*s = f*m + 25, 3*s - 21 = 3*m + 2*m. What is the second derivative of 7*l**3 - 5*l - 1205*l**2 + 1205*l**s wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 573\/5 + -115. Let o(g) = -2*g + 11. Suppose 3*l = -4*l + 42. Let m be o(l). What is the second smallest value in m, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 4*a - 11. Let v be i(5). Let w(t) = 2*t + 5. Let l(r) = -1. Give v*l(f) - w(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 + 4*b - 2. Let q(l) = 4*l. Let u be q(-1). Let s(j) = -11*j**2 - 9*j + 5. Let k(w) = u*s(w) - 9*g(w). Let x be 4\/(-10) - 572\/220. Give k(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 4 in descending order.\nAnswer: 15, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1486 = 8*d - 4*d, -2*x = -d + 364. What are the prime factors of d?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -348514\/179 + 1947. Is -1 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2517997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1939 = -810*k - 491 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29410 = 39*g - 22*g. What are the prime factors of g?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*b - 4526, -277*b - 5*q = -279*b + 4546. Is b a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*s = 4808 - 1352 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ege when three letters picked without replacement from {p: 5, g: 1, n: 7, e: 5}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:56 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*r**4\/11 - 214*r**3 - 13654*r**2\/11 - 714*r + 3528\/11 = 0 for r.\nAnswer: -21, -7, -1, 12\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45670 and 18268.\nAnswer: 91340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170225083.\nAnswer: 37, 41, 61, 34259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 333 = 1921. Let w = r + -60. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -35*o**2 - 9*o. Let x(v) = 72*v**2 + 16*v. Determine -7*t(q) - 4*x(q).\nAnswer: -43*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14527902 or 14527903?\nAnswer: 14527902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*y**3 - 20\/7*y**2 - 208\/7 + 148\/7*y.\nAnswer: -(y - 4)*(y - 2)*(y + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360.6*0.0829\nAnswer: -29.89374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 125.1?\nAnswer: -625.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xta when three letters picked without replacement from {t: 1, n: 1, a: 1, q: 1, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 + 1 = 0. Let s(y) = -y**2 - 13*y + 5. Let q be s(-13). Is k equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5988000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0 = -3*a + 3, d - 4*a = 1. Let f(b) be the first derivative of -271 - 3\/2*b**2 + 2\/3*b**3 + 1\/4*b**4 + 3*b. What is f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q - 6. What is g(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 + 134. Suppose 243*b + 120 = w*b. Let 2\/3*h**4 + 0 + b*h**3 + 0*h - 14\/3*h**2 = 0. What is h?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852 divided by 1?\nAnswer: -1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*-2*3 - sqrt(77))\/(6*5*sqrt(11) - sqrt(11)).\nAnswer: 6*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2919, 5833, 8745, 11655?\n\"Answer: -g**2 + 2917*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*m - 26 = 3, -5*m - 26 = -l. Let w(n) = -n. Let k(f) = -f**3 - 4*f. What is l*k(y) - 2*w(y)?\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3609884824?\nAnswer: 2, 7, 13, 4958633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.371364 litres in millilitres?\nAnswer: 9371.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 3*a**2 - 10*a + 36. Let h be w(3). Calculate the highest common factor of 38 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(2070\/(-240)) + (-10)\/(-4)*2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 18*p**4 - 42*p**3 - 118*p**2 - 38*p + 16. Let m(s) = -s**4 - s**3 + s**2 + s + 1. Let b(c) = d(c) + 4*m(c). Factor b(k).\nAnswer: 2*(k - 5)*(k + 1)**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - s - 13. Let k be j(-3). Let b be (0 + (0 - 0))\/1. Let r = k + b. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1331) + sqrt(1331) + (sqrt(1331) + 0)*-6)**2 + (sqrt(792) + sqrt(792)*2 + sqrt(22))\/(sqrt(2) - (sqrt(2) - (sqrt(40)\/sqrt(2))\/sqrt(10))).\nAnswer: 19*sqrt(11) + 21300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10408 + 10463. Let p(j) = j**3 - 6*j**2 - 5*j - 4. Calculate the lowest common multiple of p(7) and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46446736.\nAnswer: 2, 7, 414703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0 - 73\/6*d**3 + 25*d**2 + 60*d. Differentiate y(c) wrt c.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-1204)\/(-42))\/((-25)\/30). Suppose 0 = 5*i - x - 0*x - 10, 4*x - 10 = -5*i. Calculate the highest common factor of j and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3731.204 + -3727. What is u rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 4*b + 3. Let p be r(4). Suppose 5*l + 172 = 4*k + 1320, 0 = -p*k - 6. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(168)\/sqrt(7))\/(sqrt(96)\/(sqrt(24)\/sqrt(2)) + sqrt(8)) + 3.\nAnswer: 3 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 190*g**2 - 10*g + 22. Let n be p(2). Let f = -283 + n. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183 - 177. What is the greatest common divisor of 138 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225162 and 600432?\nAnswer: 1801296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*y. Let i be (10 - -3)*y*2. Let n = i - 14. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2.09 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205 (base 6) in base 8?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5 = w, -w - 3 = -3*d + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29357207 by 1.\nAnswer: -29357207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -93606.058 to the nearest one hundred.\nAnswer: -93600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6680 and 11120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*(-3)\/4)\/((-28)\/(-32)). What is the biggest value in -1\/2, 12, c, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, 3\/154, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (24 - 19 - 29).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.06 + -8. Let w = d - 1.56. Let p = -0.5 + w. Put p, -1\/4, 0.3 in ascending order.\nAnswer: p, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72631076651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 874.309 - 874. Let k = 81.1 - 81.783. Let m = k + y. What is m rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8881?\nAnswer: 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1367?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*x**3 + 0*x + 12*x**3 + 3*x**3 + 11*x to u*x**3 + w*x**2 + l + k*x and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, 12, 47, 96, 159, 236, 327?\n\"Answer: 7*v**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.41 and 51539?\nAnswer: 51541.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91247105 - 0.03.\nAnswer: 91247104.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k + 95772 = -57696. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*r - 21442, 0 = 24*n - 27*n + r + 16088. Is 5363 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + r**2 + 2*r**3 + 6*r - 5 - 58*r**4 - 13 + 59*r**4 - r as u + y*r**3 + g*r + n*r**4 + d*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -234. Let r = x - 37. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2080 - 2080 - i. Let l = -5 + 7. What is w(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1703135 + 0.035.\nAnswer: -1703134.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55753*o**2 - 178*o + 180 wrt o.\nAnswer: 111506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-139081.\nAnswer: 27816.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 11:40 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five quarters of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284462*b**3 + 898165*b wrt b?\nAnswer: -1706772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 518*h**2 - 10207*h - 62. Calculate r(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a**3 + 2*a**2 + 2*a + 1. Let y(p) = -p**3 + 6*p**2 + 4*p + 8. Let x be y(7). Let l(f) = f**3 + 13*f**2 - f - 14. Let w be l(x). What is t(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79.3 - -82.3. What is the fourth smallest value in 0.2, b, 2\/9, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14476500 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63769264 and 1226332.\nAnswer: 63769264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/2)\/4*(-26 + 22). Let x = 2 - 4. Sort v, 0, x.\nAnswer: x, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2301 + 359*r**3 + 2302 + 2286 - 6889.\nAnswer: 359*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 2. Let v(o) = -8*o - 1. Let n(c) = j(c) - 3*v(c). Let k(t) = -8*t**2. Calculate k(n(b)).\nAnswer: -3528*b**2 - 336*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41*d**4 + 1756682*d**3 - 7566137 wrt d.\nAnswer: 164*d**3 + 5270046*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:37 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1635 + 1377.8. What is b rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 x when four letters picked without replacement from egxegrrgrxrxrrg?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 + 5*x**4\/12 - 7*x**2 + 1408*x. Calculate b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 14 = -34*i - 7*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**2\/5 - 150*o - 1980.\nAnswer: -6*(o + 15)*(o + 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3212 = 4*x - 8*x, 4*j = x + 6438. What is the first derivative of -j*y + 38 + 1610*y + 17*y**2 wrt y?\nAnswer: 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 183*c**2 + 2523*c + 7665.\nAnswer: -3*(c - 73)*(c + 5)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19359 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -746 - -1073. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)\/n)**(-22))**(2\/57))**(2\/51) assuming n is positive.\nAnswer: n**(176\/2907)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = g - 3 - 11, -3*s + 9 = 0. Find the third derivative of 4*p**5 + 2*p**2 - 4*p**g + p**6 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u + 96. What are the prime factors of m(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 821?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**3\/6 + r. Let j(i) be the second derivative of -i**3\/6 + 2*i - 21. Determine j(c(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 456. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072004 greater than -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 206 + 355*c**2 - 50 - 6*c + 6*c + 108 wrt c?\nAnswer: 710*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) -5 (c) -1\/5 (d) 2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4495 + -4429. What is the highest common factor of z and 12694?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 970048550 - 4.\nAnswer: 970048546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 41*a + 44*a - 81*a, 3 = -2*a - 0 + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 divide 506703127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from dqyuqyoqodyqyyyyyuo?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = 4*m - 42, 2*m = 2*i + 14. Let t = 749972 - 749969. What is the least common multiple of m and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501 (base 11) to base 5.\nAnswer: -4411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6123 - -0.502?\nAnswer: 6123.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 0*i + i. Let g(a) be the third derivative of a**5\/3 - 247*a**2. Calculate g(v(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 1, u: 3, z: 3, q: 4, n: 4}. What is prob of sequence unq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*h**2 + 331*h + 331*h - 662*h.\nAnswer: 253*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 58*k**2 - 2*k - 10. Let s be m(4). Let p be (s\/(-6))\/(354\/(-180) - -2). What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 466760?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 972 - 434. What is the least common multiple of o and 22?\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**3 + 18*f**2 + 5*f + 5. Let w(u) = 8*u**3 + 19*u**2 + 6*u + 6. Let c(q) = 2*q**2 + 143*q + 350. Let o be c(-69). Determine o*w(h) - 6*l(h).\nAnswer: -2*h**3 - 13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85990 is divided by 83.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.2547 + 0.2547. What is the closest to i in -4, 2\/15, -0.8, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24286 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-190*y + 3*y**3 - 70861*y**2 + 70861*y**2)*(3*y - 2*y - 2*y + (1 - 1 + 1)*(-5*y + 0*y + 3*y) + 2 - 2 + 2*y).\nAnswer: -3*y**4 + 190*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -2915*s**3\/3 - 1233*s**2\/2 + 2*s - 1276. Differentiate c(m) with respect to m.\nAnswer: -5830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 5*k - 3. Let v be m(-4). Let i be (-4 + 5\/1)\/v. What is the third biggest value in 0.3, 2, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 20. Let w = -5 - -5. Suppose 3*y - 2 - t = w. Which is greater: 2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 0.4 (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/((3\/(-10))\/(1\/(-5))). Suppose 2*z - 33 = -o*u + 9, z - 3*u = 26. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674529454.\nAnswer: 2, 13, 64404979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 2*x**2 + 0*x**2 + (-3*x - 12*x + 6*x)*(x - 2*x + 0*x) as y*x**2 + o + t*x and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -461*c - 467. Calculate the smallest common multiple of 8 and v(-3).\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494149 is divided by 136.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 631 + 234. Let d be c\/25 - (-2)\/5. Let q = 18 + d. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45951137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2949 (base 15) to base 16\nAnswer: -228c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f + 3. Let s(g) = 4*g - 4. Let w(b) = -4*s(b) - 3*u(b). Let z be w(5). Solve i = 4*n + 17, 0 = z*i - 6*i + 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60749706 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8393718 by -7.\nAnswer: -8393718\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 436533 (base 8) in base 2?\nAnswer: 100011110101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.91 + -60.91. Let f = -59.739 - g. What is f rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f + 84. Let a be y(-21). Suppose 19*o - 3531 - 6482 = a. List the prime factors of o.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/20)\/(3036\/(-1035)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, 9, 3, -4 in decreasing order.\nAnswer: 9, 3, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243433 is divided by 6762.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 8*s**2 + s - 5. Let d be k(8). Suppose 0*n - 9 = -d*n. Solve -r - n*r = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13*b - 4. Let h(v) = -39*v + 12. What is 2*h(j) + 7*x(j)?\nAnswer: 13*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 - 21*w**4 + 12*w**3 + 36*w**2 = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 5*p + 12. Suppose -7*h + 419 = -694. What is the remainder when h is divided by q(6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440 - 440 + 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (287\/82)\/((-3)\/6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 14430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b - 445. Let z = -58 - b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*w + 71*w + 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, y: 5}. Give prob of picking 3 y.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1176)\/(-24))\/(-49))\/((8\/148)\/(-2))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 79*s**2 - 1. Let y be a(1). Suppose 4*i = i + y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 661538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3375591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5\/7 - 4*d**4\/7 - 4*d**3\/7 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10272, -10251, -10226, -10197, -10164, -10127, -10086?\n\"Answer: 2*i**2 + 15*i - 10289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -97.2 from -191683.\nAnswer: -191585.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 3*x**2 - 5*x - 2. Let j be c(-4). Suppose -3*t - 2*o = -8, -8*t + 3*t + 8 = j*o. Differentiate t*z**2 + 42 + 0*z**2 - 5 + 34*z**4 wrt z.\nAnswer: 136*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8588.383 milligrams to micrograms.\nAnswer: 8588383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.4171281 and -9?\nAnswer: 10.4171281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44234311202 - 0?\nAnswer: 44234311202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 3052 + 214 = -138*j - 804 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 30*s - 6705 = 0. List the prime factors of s.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 27\/14*q**2 + 55 - 27\/28*q**4 + 2\/7*q**3 - 6\/7*q. Factor a(m).\nAnswer: -3*(m - 1)*(m + 1)*(9*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(3 - 30\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, 1\/3, 2, -242, 0, 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/4, -3, -1, 5, 14 in decreasing order.\nAnswer: 14, 5, 1, 1\/4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 47, 8, -91, -268, -541, -928?\n\"Answer: -3*p**3 - 3*p**2 + 33*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 3*g**2 + 2*g - 2. Let r be y(-4). What is the highest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1572*i**4 - 5*i**3 + 5*i**2 - 5*i + 128. Let x(w) = -w**3 - w - 2. Let t(m) = -k(m) + 5*x(m). Find the third derivative of t(b) wrt b.\nAnswer: 37728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343 divided by 495.\nAnswer: -343\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**2 - 1\/21*u**3 - 1\/42*u**4 + 2*u + 0 - 1\/210*u**5. Let i(b) be the first derivative of s(b). Solve i(l) = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 403549\/3 - 134515. Factor -t*z**2 + 0 + 1\/3*z**5 + 8\/3*z**3 - 5\/3*z**4 + 0*z.\nAnswer: z**2*(z - 2)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-81) - (-141880)\/18. Let y be 2\/(-10) - c\/(-10). Suppose -j + r = -y, 0 = j - 0*r + 5*r - 782. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*f**2*g*o + 725*f**2*g - f**2*o + f**2 - 80*f*g*o - 126*f*g - 4*g*o wrt f.\nAnswer: 26*g*o + 1450*g - 2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 167 + 182 = 0. Let l(w) be the second derivative of w**5\/20 - w**4\/4 + w**3\/2 + 2*w. Give l(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) - 15\/(-4). Suppose m - 23 = -9. Suppose k + 26 = m*k. Solve r*w = k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + -68 - (-24 + 0) - 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 117839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:54 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -4*c**3\/3 - 1. Let r(a) = a + 0*a + 5*a - 8*a. Let o(u) = -2*u. Let m(i) = 2*o(i) - 3*r(i). Give t(m(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 - 105*k**2\/4 - 216*k + 243.\nAnswer: -3*(k - 1)*(k + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -5. Let c = l + 4.71. Let n = 0.71 - c. What is the fourth biggest value in -2\/9, 2\/3, n, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 68, 167, 352, 653, 1100, 1723?\nAnswer: 2552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -9. Suppose -5765 = -t*j + 10199. Suppose 12*p = -j + 4312. List the prime factors of p.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20899*k + 7*k**3 + 20899*k.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 9 = k + 3*k, -3*t - 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + d - 6*a - 39, 4*d + 111*a = 109*a - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:25 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062568 to six dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 20.114\nAnswer: -321.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 14*u + 4. Let i(x) = x**3 - 16*x**2 + 28*x + 7. Let h be i(14). Let p be c(h). What is the third biggest value in -5, p, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 101. Let n = 35 + o. Let b = 46 + n. Sort -3, 4, 0.5, b in increasing order.\nAnswer: -3, 0.5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -786 (b) -1 (c) -4 (d) -2340\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(-4)\/(-56) + (-3034)\/(-14)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w**3)\/(w**(-1))**(1\/11) assuming w is positive.\nAnswer: w**(-118\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 705, -23, -1, -2\/3, 2\/3 in descending order.\nAnswer: 705, 2\/3, 0.1, -2\/3, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3282.000121937 - 3282. Round x to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.051+-26658\nAnswer: -26658.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -543470066.8 to the nearest 1000000.\nAnswer: -543000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 978 - -544. Suppose r = 11*n + 37. Calculate the greatest common divisor of n and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*j + 84 + 43 = 0, -233 = -2*o - j. Let q = o - -110. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195145787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:22 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419*i**2 - 3 - 3*i**3 + 4*i**5 + 391*i**2 + 1 wrt i?\nAnswer: 240*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3025990 is divided by 1009?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0383 times -2?\nAnswer: 0.0766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233002112 - 123?\nAnswer: 1233001323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25985 is divided by 24864.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2. Let r(n) be the second derivative of 0*n**2 + 40*n + 0 + 7\/6*n**3. Determine r(i(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 14*y - 5. Let a(b) = b**2 + 21*b - 7. Let f(d) = 5*a(d) - 7*t(d). Find the second derivative of f(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.77 in 16\/3, -1.9, 0.4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Let f = -714 - -790. Suppose l*x + 0*x = f. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45\/8 or -9077.57?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -35, 2, 75, 196?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -169952912 divided by 1370588?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 + 3*j**2 - 3*j - 3. Let a(d) be the first derivative of 2*d**4 - 4*d**3\/3 + 2*d**2 + 4*d - 2. Determine -3*a(c) - 4*q(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q + 255. Let m be d(50). Solve -w = 7 - m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 1123244*z - 2246496.\nAnswer: 2*(z - 561624)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8820, 11133, 13448, 15765, 18084?\nAnswer: 20405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 713584559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/102 - 18288425\/269025?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122818823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1033 divided by -52322\nAnswer: -1033\/52322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (534\/979)\/(3\/(-66))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u + u + 6*u)*(-148*u + 141*u - 846*u) as r*u + x*u**2 + d and give x.\nAnswer: -11942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 + 269. Suppose 65*g - t*g = 84. Solve -r = g*r + 39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 611\/4, 21862?\nAnswer: 21862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 791\/6 - 132. Calculate the common denominator of -27\/50 and k.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*s - 2647 - 737 = 1404 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:00 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -3\/8 (c) 1\/4 (d) 24\/11 (e) -165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (424\/(-16)*(-72)\/(-14))\/(168\/(-784)) and 742?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/2 (b) -33 (c) -289 (d) 2\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -70. Let m = 35 - 40. Sort 4, h, -3, m in ascending order.\nAnswer: m, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*sqrt(11) + -3)*-5 - (sqrt(132)\/sqrt(27))\/sqrt(4)).\nAnswer: 15 + 14*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 2\/13, -0.2, 0.03?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -44fdc6?\nAnswer: 44fdca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, 3\/5, 20.2, -0.03, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87740 = -405*o - 647*o - 36396 for o.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*p + 128*p - 47 + 47.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 4*j**2 + 7*j + 21. Give p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1)**(-7\/2)*((g\/g**(-4))\/g*g)\/g**(2\/7) assuming g is positive.\nAnswer: g**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -4*j - 5*l - 65 + 73, -2*j + 77*l + 85 = -3*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9569 + 10079. What is the remainder when z is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - (-40)\/(-12). Let u(a) = -a + 6. Let t be u(m). Let b = t + -8. Solve 0*j = -b*j - 5*f + 3, 0 = -j - 5*f + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 11*d**8\/28 - 8*d**4\/3 + d. Find the third derivative of u(v) wrt v.\nAnswer: 2640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -40, 13\/6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 64, -1\/3, 6?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1.1. Let l = -108778 - -16860533\/155. Let u = 1\/31 - l. What is the second smallest value in 2, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s - 28*s - 101*s - 116*s + 269*s - 107*s.\nAnswer: -148*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 154423 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + v - 12, -11*v + 13*v = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 - -105. Let x = h + -321. Factor 0 + 3\/7*g**4 + 3\/7*g**x - 6\/7*g**3 + 0*g.\nAnswer: 3*g**2*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 229.97 and 20.8817.\nAnswer: 250.8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 19. Suppose j*s = -0*s - 2*n, 0 = s - 4*n - 5. Is (-1*s\/2)\/(6\/(-708)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*q + 2*b, q - 4*b - 15 = -2*b. Suppose -71*f + 73*f = 4. Suppose -f = -7*r + q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408*o**3 + 26 - 33*o**3 - 17 - 15 to the form g + d*o**3 + i*o + r*o**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n**2 + 26*n - 427. Let i(l) = -15*l**2 - 12*l + 214. What is 6*b(h) + 13*i(h)?\nAnswer: 3*h**2 + 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 1, c: 2, k: 1}. Give prob of sequence kcta.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - 133\/14. Let l be (-1)\/3 + (-3)\/u. Suppose l = -k + 6 - 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 5) to base 14.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 3104*y + 7226112.\nAnswer: (y - 4656)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*v + 13904 = 481*v for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 4609\nAnswer: 414.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 2 - 957*q**2 - 3*q**3 - 488*q**2 - 1 + 947*q**2 in the form m*q**3 + a*q + h + r*q**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5\/13 + 2882*n**4\/13 - 545112*n**3\/13 + 9369756*n**2\/13 - 3420468*n + 1535274 = 0 for n.\nAnswer: 1\/2, 9, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 138\/(-322) - (0 - 1). What is the second biggest value in -5, 28, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let k(j) = 752*j**2. Give k(t(r)).\nAnswer: 752*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - 28*k**2 + 22*k**2 + k in the form j + r*k**2 + l*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11221210100220 (base 3) to base 11\nAnswer: -1539584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**2 + 28*p - 19. Let o be i(-5). Calculate the highest common divisor of o and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30866 and 1.1.\nAnswer: 33952.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 112356\/9685 - 2\/1937. What is the common denominator of l and 39\/1120?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10274*g**3 - 5148*g**3 - 5132*g**3 - 2*g - 150*g**2 + 1 + g**4 to the form p*g**4 + r*g + m*g**2 + z + s*g**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327.6448 - -1.7?\nAnswer: 1329.3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 11\/6*j**3 - 3*j**2 + 0 - 1\/2*j**4 + 14*j + 1\/20*j**5. Determine z so that x(z) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 11*y - 13. Let u be x(-9). Let n = 1 + u. Calculate the remainder when n is divided by (((-77)\/21)\/11)\/((-1)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/713 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34889, 34893, 34897, 34901, 34905, 34909?\n\"Answer: 4*f + 34885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/8)\/p*p*p\/(p**6\/p))\/(p**(-3)*p*p**(-6)) assuming p is positive.\nAnswer: p**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-4224)\/220)\/(-12))\/(((-4)\/(-20))\/((-2)\/2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:46 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -226, -30, -2, 2\/7, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744098.7 centimeters to nanometers.\nAnswer: 7440987000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 7:27 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + o - 4*o - 18, -o - 3 = 0. Suppose -b*u + 78 = -0*u. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272 - 115 - 6*z - 157.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14749 is divided by 2449.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y. Suppose -2*h - 12 + 68 = 0. Suppose 2*o - 32 - h = y. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*d + 26, 82*d - 10*o = 77*d - 10 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2048.8 rounded to the nearest 10?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 6. Let q be (-1)\/(0 + (-2)\/12). Suppose 2*k + 0*k = q. Let j be x(k). Solve -5*a + t = -28, 11 + 5 = 5*a + j*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/7 - (-6)\/(-21). Suppose 0*k = -g*k. Suppose k = -2*a + 14. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 81.4. What is the third biggest value in 0.5, -0.1, 1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 22343036 = 132*w - 7315786. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-45360)*-48*-15.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**3\/21 - 16222*r**2\/7 + 17169568*r\/21 - 2286680\/7 = 0. Calculate r.\nAnswer: -5197, 2\/5, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*f + 254, 0 = -3*f - f - 12. Let u be (y\/(-39) - -1)\/((-2)\/12). Solve z + 8 = -z - u*o, -2*z + 10 = -5*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 22. Let u(g) be the second derivative of -g**5\/20 + g**4\/4 - g**3\/2 + g. What is u(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**27\/(r**(-2\/7))**23 assuming r is positive.\nAnswer: r**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4649*w + 23254. Calculate u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, 5, 0.17, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120 (base 4) in base 5?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -88 + (-6 - (-3 + -4 - -3)). Let c be ((-64)\/6 - 0)*n\/8. What is the greatest common factor of c and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(r - 6*r + 4*r) + 0*r - 3*r + 4*r + (3*r + r - 6*r)*(-1 - 1 + 1).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/42*-2 + (-4)\/(-14). Suppose 0 = 5*p + 4*b - 768, 5*p + b + w*b = 777. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 4, 2, 3, -2, 1 in increasing order.\nAnswer: -13, -3, -2, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 2*y - 2, -10*i - 478*y - 14 = -476*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 285 + 177 + 189 - m - 651.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547927233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 = -13. Suppose o = -4*s + 11. Solve 8 = -2*d - s*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -808*j*p + 799935*j + 117268*p**3 - 32 wrt p?\nAnswer: -808*j + 351804*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199000.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323785?\nAnswer: 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**3 + 4*w**2 + 119. Let x(t) = t**3 + t**2 + 1. Determine l(a) - 4*x(a).\nAnswer: 4*a**3 + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.81561616 to four decimal places.\nAnswer: -2.8156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11068.\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 != -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 4165212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Which is the third smallest value? (a) -2 (b) -16 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06581 in -1\/2, -2\/7, -0.2, 1.4, 0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2402580 is divided by 400430.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17999355659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1983014.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/57*-4*111\/(-74).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*s + 78. Let d = s + 7. Let o be (2\/4)\/((-9)\/d). Put o, -2, 5 in decreasing order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 + 12299*i**3 - 151265401*i**2 + 1860413166899*i\/3.\nAnswer: -i*(i - 12299)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35014 - 35137. Which is smaller: o or -737\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -979 + 1070. What is the lowest common multiple of 130 and z?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*k**2 + 3*k**2 - 14*k + 4*k**5 + 2*k + 1 + 2*k wrt k.\nAnswer: 80*k**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9360)\/(-320)*(-32)\/(-3) + -8 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -308 + 304.81. Let q = -0.71 + w. Let c = q + 7.9. Put c, -4, 0.2 in ascending order.\nAnswer: -4, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.34637*0.4.\nAnswer: -0.538548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-84)\/(-16))\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -m. Suppose 3*d + 60 = 5*w, w - 4*d = m*w + 2. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 2*b**4 + (0*b**3 - 3*b**3 + 2*b**3)*(4 + 2*b + 0 - 2) to v*b**4 + p + y*b**3 + r*b + s*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*a - 4 + a**3 - 2*a**2 + a**3 + 53*a - 4*a**4 to d + i*a**2 + z*a**3 + k*a**4 + v*a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/24 + 10*l**3\/3 + 10*l**2. Let z be i(-17). Find the first derivative of -7 - w**3 - w**z + 2 - 4*w**3 wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*j - 54*j - 5. Suppose 2*d + p + 2*p + 6 = 0, 3*d = -3*p - 3. Is d != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 41 - (23 - 14 - 7 - -7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26461920 divided by 1653870?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a - -21b?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16385)\/(-174) - 5\/(-6) is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -409479.\nAnswer: 778010.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 + 66*t**4 - 576*t**3 + 512*t**2.\nAnswer: -2*t**2*(t - 16)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 15. Suppose l + l + 2 = 0. Let x be (l*2\/(-2))\/(-1). Sort x, -3, c.\nAnswer: -3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 - 6*x + 22. Is g(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-2)*56\/(-42). Let h be (0 - 0) + d\/2. Suppose 12 - h = 3*f. Solve -2*z + f - 5 = 0, 5*s + 4*z = -33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*i. Suppose i = 5*f - 3*h - 8, 0 = -5*f - 3*h + h + 28. Is 13 a factor of (-102)\/(-4) + 2\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125356620 and 7620.\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 29574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*d**5\/9 - 58*d**4\/3 + 694*d**3\/9 - 310*d**2\/3 - 4*d + 48 = 0. Calculate d.\nAnswer: -4\/7, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and (5\/(-2))\/(2\/(-8))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -i - 5, 3*i - 7 - 8 = 0. Let f be (-2)\/y - 210\/(-75). Solve -3*d - 6 = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*8235\/2440?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283285541 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 3*y - 1. Let q be h(-1). Suppose c + 5 = 6. Let m = q - c. Solve -2*v + v - 5 = m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + 11)*(-1 + 2). Let h = 147 - r. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*x - 4*r, 3*x - r = -3*r - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 1, y: 1, u: 1, z: 1, f: 2}. What is prob of sequence ufu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 1 - 2 + d. Let o(z) = -5*z**3 - 5*z - 5. Suppose -2*n - 4*b = -46, 0 = 3*n - 5*b + 1201 - 1138. Give n*o(g) + 5*u(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 minutes before 3:47 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-162087)\/6 + -4)*(1 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*v + 5, -3 - 2 = g. Which is the closest to -1\/2? (a) -0.1 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 9*l - 5. Let s be a(9). Let m = s - -4. Sort m, -2, -5 in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20))\/(23\/(-460)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 22165789.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:50 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 178934.8 and -0.2.\nAnswer: -35786.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0 + 42. Let t = c + -11. Suppose t*r - 6 = 21. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120679 less than -542170?\nAnswer: -421491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.1215 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -6.1. Let x = s - -7. Let k = -0.9 + x. Which is bigger: k or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 11 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -aa?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2756*f**2*i**4 + 325*f**2*i**2 + 2*i**2 wrt i?\nAnswer: 66144*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5337669.69 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -108 (c) 0.08 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022357069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.815 - -4.915. Which is the second smallest value? (a) 1 (b) 41 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4802, -4800, -4798, -4796?\n\"Answer: 2*o - 4804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*r = -52, 15 = h - 2*r + 5. Let x(u) = 6*u - 18. Let v be x(h). What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-4)*(-3 + 1 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6350)\/(-18) + 9300\/4185. Let p(g) = g. Let l be p(5). Calculate the greatest common factor of l and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3897*z + 7828. Give n(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -102\/5, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, -102\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 53 (b) 1\/17 (c) 8 (d) -3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/19 + 27\/38. Let p = -684 + 686. Suppose 2*o = 4, -p*h = 21*o - 22*o. Which is the third smallest value? (a) 4 (b) -1\/4 (c) u (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -4d9?\nAnswer: -4c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 + 8*d - 12. Let l be m(6). Suppose l + 1 = y. Let v = -2 + 6. What is the closest to 0.1 in v, y, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 17*b**2 - 43*b + 2. Give r(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -472.27586 + -0.51?\nAnswer: -472.78586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, c: 2}. Give prob of sequence csc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + c**2 - 42. Let n(t) = 2*t**3 - t**2 + 43. What is 4*m(f) + 3*n(f)?\nAnswer: 2*f**3 + f**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12*255\/170\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*r - 27. Find the third derivative of r*s**2 - 4*s**6 + 0*s**2 - 3*s**2 wrt s.\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + 145 = 0. Let i(f) = -f + 3. What is the remainder when h is divided by i(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 3. Suppose -24*m - 911 = 7897. Let i = -2207\/6 - m. Which is the fourth smallest value? (a) y (b) i (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1046, -1042, -1038, -1034, -1030?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -24\/5 (b) -0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-185)\/30*708\/(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 3*t. Let a(z) = 7 + 11*z + t*z - 14*z. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -401678.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = 24. Let q(l) = -l**3 + 5*l**2 + 4*l + 6. Let j be q(m). Let g(v) = v - 2 - 2*v + 1. Let n(a) = -5*a - 4. Give j*g(y) + n(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 177839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 3. Suppose 21*t = 5*b + 23*t - 23, 0 = -3*b + 5*t - 11. Let c(p) be the first derivative of -5*p**2\/2 + 10*p - 1. Calculate b*c(g) + 10*k(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -7, -0.1, 2\/9, -5, -0.145?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1938\/(-323)*((-19)\/60 - (-17)\/68).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/8 + (6 - 7)\/4. Solve -4 = -t + 3*i, -c*t - i - 7 - 16 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9*s - 6 = 0, -3*s = 5*f - 1211. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1165 + 1166. Suppose 2*g - 15 = -5. Let h(p) = n - 4*p - g*p + 3*p. Calculate h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004.706 rounded to the nearest ten?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21239303*k**3 - 21239261*k**3 + 42478556*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6667932?\nAnswer: 2, 3, 555661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - (5 + -1)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1145 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14503733638 minus 1916?\nAnswer: 14503731722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -303695*x + 2*x**3 + 607387*x - 2 - 205*x**2 + 63*x**2 - 303694*x as a + j*x**3 + d*x + n*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let g(q) be the third derivative of -q**5\/15 - 5*q**4\/12 - 5*q**2 - 63*q. Determine y(g(j)).\nAnswer: 16*j**4 + 80*j**3 + 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let h(b) = -b + 1361. What is h(q(a))?\nAnswer: a**2 + 1361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-130))\/(6\/60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 - w + 1. Let z be h(1). Let p be (45\/6)\/z*2. Let k = 90 + -75. Solve -3*v - k = -p*y, 5*v + 31 = 4*y + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00406391 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 44 = -8*d. Let l(m) = -2*m - 3. Let h be l(-4). Suppose 0*t - 20 = -h*t. Solve d*w - t*i - 20 = 0, 3*w = -2*w + i + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by 5?\nAnswer: -156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*t + 32 = 0, 3*t + 17 = 2*y - 4. Suppose 2*u = o + 4, -32 + 26 = y*o - 3*u. What is the biggest value in o, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*l - 3*l = 1059, 4*t + 860 = 4*l. Let m = 366 + t. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3))\/((-500)\/(-2400)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -997266*q + 997287*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -19, -8\/2187?\nAnswer: -8\/2187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**4 + 1078449*t**3 + 4314084*t**2 - 86277456*t + 207064512 = 0 for t.\nAnswer: -12, 4, 359487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-940)\/(-940) + ((-2)\/(-6))\/(6\/(-28)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 v when three letters picked without replacement from ebbxvbvfebexvbx.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4041 - 206017\/51. Let r = w - 2\/17. Factor r*q + 4\/3 + 1\/3*q**2.\nAnswer: (q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-10)*(-2)\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from tswwwwwwwccfctwwwcw.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/4043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdprorpfrfpd. What is prob of picking 1 p and 1 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iallngy. What is prob of sequence ig?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5173*f + 5117*f - 10298*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1960 + -1656. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 b, and 1 x when four letters picked without replacement from xxxkxknknkxnkbk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - (-19)\/38. Which is the third biggest value? (a) d (b) -2 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 52103, -11.\nAnswer: -11, -5, 4, 52103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/39 + ((-6)\/8 - (-26840)\/2080). Is w less than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 3, -40, 0.043, -0.33 in decreasing order.\nAnswer: 4, 3, 0.043, -0.33, -0.4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109848 and 1311.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 1, 2\/11, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 5*b**2 + 2*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/40 + 17*m**5\/60 + 19*m**4\/12 - m**3 + 75*m**2 + 4*m. Let q(j) = j**3 - 6*j**2 - 13*j + 2. Determine 6*l(h) + 17*q(h).\nAnswer: -h**3 + 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 646\/9751 + -1\/199. What is the common denominator of -59\/3318 and s?\nAnswer: 23226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -18. Let q be (-1)\/(-2) - s\/2. Let p(g) = 3*g**2 + g - 2. Does 4 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5999 and -137291712?\nAnswer: 137285713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*((sqrt(180) - (sqrt(180) + -1*sqrt(180)*-2)) + sqrt(180) + -3*(0 + sqrt(180))) + -1)**2.\nAnswer: -576*sqrt(5) + 138243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264097, 264106, 264119, 264136, 264157?\nAnswer: 264182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(153) + sqrt(153)*-1 + sqrt(153))*6 + sqrt(153)))\/(sqrt(72)\/(sqrt(32)\/sqrt(4))*1))**2*-3.\nAnswer: -22491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24261691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + a + 2*a = 16, -i - a = -5. What is the closest to i in -3, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:28 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 589598 greater than 589597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(8256\/(-336)))\/((-1)\/(-4*1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(675).\nAnswer: -5 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*2*(-4)\/6. Sort -2, -1, x.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + 1)) + 2 + -3 + -4 + sqrt(44))**2 + 6*sqrt(66)\/(-2*sqrt(6)) + (2*-2*sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: -32*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17 = 3*k - 0, -3*o + 23 = -4*k. Suppose -l = 3*l + 20. Let x be l\/o + (12 - 4). Solve -4*b + x*i - 14 = -41, 4*i = -20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.778 - -0.5\nAnswer: -23.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 201336169409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 1, x: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 2. Let n be y(0). Suppose 0 = 4*j - 114 + 58. Solve 4*i = n + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x - 61 = -j, 3*x = -4*j + 64. Suppose -3*c + 19 = -o, -7*c + 4*o + x = -3*c. Calculate the remainder when 12 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 5*v + 16, 4*v + 2158 = s + 2138 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l**2. Let x(v) = -v - 1. Let z(u) = 7*u + 12. Let p(k) = -6*x(k) - z(k). Let c(q) = q + 5. Let j(i) = 6*c(i) + 5*p(i). Calculate g(j(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30191481, -60382958, -90574419, -120765858, -150957269, -181148646, -211339983, -241531274?\nAnswer: -271722513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 21. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**4 + j**3 - j**2 + 1. Let h(l) = -8*l**4 - 2*l**3 - 174*l**2 - 332. Let y(t) = h(t) + 2*p(t). Find the first derivative of y(q) wrt q.\nAnswer: -8*q**3 - 352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391.9835979 rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 768933*n*o**5 + 2*n*o**4 - 1496356*n*o**2 - o**2 wrt o.\nAnswer: 46135980*n*o**2 + 48*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/56*8)\/(3\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*s + 73*s - 3287 + 1235 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78100498\/5 or 15620100?\nAnswer: 15620100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41876 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2512.607 rounded to the nearest integer?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 0 + 7\/3*t**3 - 6*t + 1\/6*t**4 - 8*t**2. Let y(l) = -l + 1. Let v(d) = -2*u(d) - 28*y(d). Find w, given that v(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 - (-3 + 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*b**5 + b**4 - 479*b**2?\nAnswer: 12000*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2699 - -21505\/8. Let s = 11 - 19\/2. Let j = 25\/6 + s. What is the common denominator of j and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1543 + -1529. Solve -52*i + 45*i + s = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38, -0.4845, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56349598 to the power of 1\/2, to the nearest integer?\nAnswer: 7507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -21154079.8 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*g**2 - 28*g - 95*g**2 - 334*g**2 + 28*g + 512*g**2.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 0*f**2 - 3*f**2 + (-4*f + f - 2*f)*(44 - 24*f - 44) to l*f**2 + n + d*f and give l.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 138447, 553888, 1246301, 2215686, 3462043?\n\"Answer: 138486*j**2 - 17*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/16 - 115\/1840.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 1157\/8. Let x be -1 + (0 - (-2)\/(-2))\/(-1). Is b at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lss when three letters picked without replacement from {a: 2, l: 3, i: 1, s: 7, m: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 19*z + 27*z + 26*z - 74*z. Let r(s) = 17*s**2 + 4. Give x(r(o)).\nAnswer: -34*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from jjoojjjjooojjjjjjjjj.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -5 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + -25 + 29 + (2 - -7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/462526 and 121\/4938.\nAnswer: 1387578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, w: 9, e: 7}. What is prob of picking 1 r and 2 w?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrr. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 908835 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 - 38 + 30*r**2 + 38 as o*r**2 + y + p*r and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let p(b) = b**3 - 6*b**2 - 4*b + 10. Let z(c) = -4*d(c) + p(c). Let a be z(6). What is the highest common factor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 358694354 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f - 10. Let x be 1\/2 - (1 + 1). Let s(b) = 74*b - 4371. Let k be s(59). What is the biggest value in 1, k, f, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24008 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**2 + k. Let m be a(-1). Let d = m - 6. Determine r so that -2\/3*r**d + 0 + 2\/3*r**4 + 0*r**2 + 0*r**3 + 0*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139306533*m**4*v**3 + 4568*m**2*v**3 + 3442*m*v**3 wrt m.\nAnswer: 3343356792*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**3 + 3*f**2 - 10*f - 12. Let p(h) = -5*h**3 - 6*h + 1. Let a(m) = c(m) - p(m). What is a(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(7) + sqrt(49)\/sqrt(28) + 6*(sqrt(7) + sqrt(28)\/sqrt(4)))**2 + -3.\nAnswer: -15319\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39*(-2 + (-9 - (-204)\/18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10998 (base 10) to base 4.\nAnswer: 2223312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 11. Suppose -x - c = 1, -2*c - 2*c = x + w. Suppose x*g - 7 + 3 = 4*d, 5*g - 2*d - 16 = 0. Calculate the remainder when 39 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 5. Let r(g) = g + 1. Calculate a(f) - 6*r(f).\nAnswer: -8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -38. Suppose -v + 3*w + 571 = 0, 1230 = 4*v + m*w - 1099. List the prime factors of v.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 5*u**2\/2 + 9*u - 3. Let a be j(-8). What is the common denominator of -81\/16 and (0 - 9\/(-6))*a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 - 3)*(a - 4*a + 4*a) + 2 + 2*a - 2 + (4 - 2 - 1)*(0*a + 0*a + 2*a) - a + 2*a + 0*a - a + 0 + 0 - 38*a + 6*a - 6*a to h*a + y and give h.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 8*c - 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 21. Let v(q) = -9*q - 56. Let o(h) = -8*f(h) + 3*v(h). Let g(n) be the second derivative of 35*n**3\/6 - 13*n. What is g(o(r))?\nAnswer: -105*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330286 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -555*k + 1648. Calculate b(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/634902 and 17\/236818446?\nAnswer: 236818446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 14. Let y = -2 + m. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:28 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let g be (6 - d)*(-222)\/(-15). Let c be 6\/(-21) + g\/14. Is 5 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1361, -2682, -4015, -5366, -6741?\nAnswer: -8146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -279032*q**3\/3 - 837236*q**2\/3 - 140*q.\nAnswer: -4*q*(q + 3)*(69758*q + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 162. Let g = x + 112. Solve 2*h - 5*l + g = 0, 0 = -h - 0*h - l + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/7140 - f**6\/3060 + f**5\/1020 + f**4\/204 - 2*f**3\/3 - f. Let z(l) be the second derivative of u(l). Factor z(d).\nAnswer: -2*(d - 1)*(d + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 314*k + 181*k - 4.\nAnswer: -133*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 16*g - 624. Let n be t(41). What is the highest common factor of 4448 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/28*(-35)\/185*3\/(-6)\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 1\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-2 - (-36)\/3). Suppose 2*x + 5*w = 20, -79 = -2*x + 5*w - 19. Let b = 12 - 8. Solve -15 = 3*h + b*i + f, 0 = -5*i - x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686507141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7562.647cm?\nAnswer: 75626470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36*43\/(-8514)*(-4)\/(-44)?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2. Let c(a) = -928*a**2. Determine x(c(m)).\nAnswer: -3444736*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = 0, -g + 3*o + 23 = -0*g. What is the greatest common factor of g and 2054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 + k**2. Let o(j) = -j**4 - j**2. Let a(v) = -12*o(v) - 4*z(v). Factor a(n).\nAnswer: 4*n**2*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2151 and 47934.\nAnswer: 11456226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (6 - 8) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 64*f**2 - 440*f.\nAnswer: -2*f*(f - 22)*(f - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54252*b*z**3 + 2596*b*z**2 + 2*b*z - 7*b - 15*z**3 + 8*z**2 wrt z.\nAnswer: -325512*b - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -500? (a) -0.1 (b) 2 (c) 0 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -307*a - 641. Let h be f(-2). Suppose -2*g + 3*g = -27. Let o = h - g. What is the closest to o in 4, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**2*s - 18191*r*s + 2201*s - 16 with respect to r.\nAnswer: -6*r*s - 18191*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 203, 194, 185?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -23 (b) 2 (c) 1\/3 (d) 65 (e) 651\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from ttttttbt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3)*-4)**2*2.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (-3606)\/(-78) + -1.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.3 (b) -2\/13 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3278?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 125 + 12?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -214994076 divided by 1556?\nAnswer: -138171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (1 + 0))*-7. Let u(d) be the third derivative of -d**4\/8 - d**3 + 3*d**2. Let i be u(y). What is the highest common divisor of 60 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = -k + 3*r, -31 = 5*k + 3*r. Let i be 5\/k*2 + 3. Which is smaller: -4\/21 or i?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.04 + -0.04. Let p = y + -10.8. Let n = -19474 - -136319\/7. Which is the third smallest value? (a) n (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48320378*0.1.\nAnswer: -4832037.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 657, -2649, -8201, -15999, -26043?\nAnswer: -38333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 530.1134ml?\nAnswer: 0.5301134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.3519 and -11.8.\nAnswer: -8.4481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13703, -13055, -11983, -10493, -8591, -6283?\n\"Answer: -y**3 + 218*y**2 + y - 13921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(2*b + 1 - 1).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 14409*n**2 + 72046*n + 15. Calculate u(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 912 and 1260.\nAnswer: 95760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(8))**2 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46103719733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 3 - 2)*-1. Suppose y*w = 2*w - 16. Calculate the remainder when 23 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300505780 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c**2 - 3*c - 3. Let x be r(-1). Let m(f) = f**2 - 12*f - 12. Let n be m(x). Let z(q) = q + 8. Let b be z(-4). Is b <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-400)\/(-360) + 1229485\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 8*f - 7*f - 3, -3*j - f = -3. Suppose 3*s = m + 74, 3*m + j*m + 15 = 0. Solve 3*w - t - 16 = 0, -4*w + 3*t + s = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341420070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 135627, 0.4, -0.4, -11?\nAnswer: 135627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -114?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -7. Let f(b) = b**3 - 37*b**2 + 73*b - 104. Let a be f(35). Are q and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, 5, 27660 in decreasing order.\nAnswer: 27660, 19, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19*v + 2 = 21*v, 0 = c - 3*v + 3. Solve -2*d + 2*s + 8 = 0, c = 20*s - 24*s - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1122.39 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**3)\/(u*u**(1\/21)))\/(u\/u**(-2\/15)*u*u*u\/((u**11*u)\/u)*u*u*u) assuming u is positive.\nAnswer: u**(86\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150205*u + 83410*u + 66797*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let y = g + 4. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**4\/24 - 22*f**2. Give l(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7641551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/37, -4, 5\/4, 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 663.1 + -663. Which is greater: o or 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 168*t - 5798. Calculate the remainder when m(84) is divided by 582.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let s(p) = -2*p + 3. Let g(l) = -6*l + 8. Let r be -2 - -7 - (6 + -4). Let b(o) = r*g(o) - 8*s(o). Give v(b(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/5)*d)\/d)\/d**(2\/11))**(-20)*((d\/d**(1\/2)*d)**(-4))**(-2\/9) assuming d is positive.\nAnswer: d**(296\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/10*(-36)\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104372857 or 730609995\/7?\nAnswer: 104372857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1346 + 1444. What is the lowest common multiple of v and 4?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (67\/(-5)*5)\/(10 - 9). Which is greater: -89 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(-3))))**(-49)\/(l*l\/l**(-4\/5)*l*l)**45)**16 assuming l is positive.\nAnswer: l**(-6592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) -17 (c) -1 (d) -302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/19)*t*t**2)\/((t\/t**(-7)*t*t*t)\/((t\/t**18)\/t)) assuming t is positive.\nAnswer: t**(-491\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**2 + 13*v + 9. Let i(d) = -7*d**2 - 6*d - 4. Let j(a) = -5*i(a) - 2*u(a). Let s be j(-6). Round s to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -2954.\nAnswer: -4\/1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k - 5. Let d be s(0). Let r(b) = b**3 + 5*b**2 - b - 4. Let y be r(d). Differentiate 5*v**2 - 2*v**2 - 6*v**2 - y wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199 - 523. Let v be (-6)\/(-33) - x\/33. Suppose 8 + 7 = 3*u. Calculate the highest common factor of u and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t, 4 = 2*p - 0*p + 2*t. Let w be (-6 - (-75)\/10)*p*1. Solve 5*v - w - 7 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002413 to 7 decimal places.\nAnswer: -0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.629006 to one dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16d3 + -385?\nAnswer: 134c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -14431*p + 7. Let w be x(-6). Let f = -43940 - w. Let z = f - -199533. What is z rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163174 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -46*a + 1\/3*a**3 + 0 + 0*a**2. Let w(q) = -q + 46. What is o(w(p))?\nAnswer: -2*p + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -717377\/2 or -358690?\nAnswer: -717377\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*o + 10, 3*z - 157*o = -153*o - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 + 2*t + 3. Let x be u(-2). Suppose -45*p = -68*p + 16100. Is 7 a factor of p\/15*-6*x\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001473750753 rounded to 6 dps?\nAnswer: 0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from kctkbkkbkkt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -298*i - 12. Let l(q) = -33376*q - 1341. What is 4*l(z) - 447*u(z)?\nAnswer: -298*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 22. Calculate the remainder when l(0) is divided by 3\/(-9) - (-185)\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10816124 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5219 + -8465. Are -3249 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*n + 3, 0 = -n - n - 5*m + 7. Let t be n*(2 + (5 - 3)). Suppose -34 = -t*l + 6. What is the remainder when 17 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 - 32*i + 210 = 0 for i.\nAnswer: -21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**5 + 0*o**5 - 3*o**5)*(-5 + 6 + 3).\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and -4*-2*(1 - 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18800652 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*b = 11781 - 22277 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*o - 0*o - 610, 4*h = -2*o + 470. Let b = h + -47. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402155, -402152, -402147, -402140, -402131, -402120?\nAnswer: -402107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 225?\nAnswer: -56\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8\/32*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10388527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-81)\/(-15) - (-6)\/10. Let r be (v + -10)*(-1)\/2. Differentiate 17*p**2 - 17*p**2 - 7 + r*p**3 with respect to p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(56)*1)\/(sqrt(196)*-2))\/(((-2*sqrt(5082) - sqrt(5082)) + sqrt(5082))\/((-2*sqrt(54))\/sqrt(9))).\nAnswer: -5*sqrt(2)\/154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 0*d**3 - 3*d**3 + (d**2 - d**2 - d**2)*(d - 2*d + 2*d) + 5*d**3 - 1 + 1 + d**2 + 3*d**3 - d**2 + 79*d**2 - 3*d**3 - 158*d**2 + 70*d**2.\nAnswer: 2*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 37*x + 1148. Let h be t(-41). What is the greatest common factor of h and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230460265 (base 7) to base 3\nAnswer: 222111102212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17153065.2 + 17152914.199954. Let x = -151 - u. What is x rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 18*k**2. Let a(m) = 807*m. Give a(s(j)).\nAnswer: 14526*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/3 (b) 2\/17 (c) -8.09 (d) 0.3 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -453.72 to zero dps.\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j*j**(-11))\/(j**(-1\/4)*j*j**(-2)) assuming j is positive.\nAnswer: j**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1375894248*k**4 + 1480505660*k wrt k?\nAnswer: 16510730976*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 10 - 1\/3*v**2 + 0*v**3 - 1\/15*v**5 + 1\/6*v**4 + 1\/3*v. Factor h(f).\nAnswer: -(f - 1)**3*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.3 - 11. Let g = o + 0.1. What is the smallest value in -1, -2\/7, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 773 = 189. Let t = r + 224. Suppose a + 3*w - t - 15 = 0, -3*w + 9 = 0. Is a a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = d - 23, -2*d + 2*j + 28 = 0. Suppose 0 = 7*l - 2*l - 540. What is the highest common factor of l and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 9:08 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 596799 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1740*f - 155506 = 1727*f. What are the prime factors of f?\nAnswer: 2, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let w be n\/(-12)*4 - -2. Solve w*l**2 - 4\/3*l + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23724 and 6804.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69 times -486015?\nAnswer: 335350.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (2 + -1 - 4). Suppose 0 = -3*i + 5*g - 17, -6*i + n*g - 3 = -i. Let j be (2 - (-23 + -2))\/i. Solve 3*x - j = 5*q, -x = -q + 1 - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 - 973*x + 10339. Calculate c(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**7\/84 + i**4\/4 + 7*i**3\/3 + 2. Let a(l) be the third derivative of n(l). What is the derivative of a(b) wrt b?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 342*f - 7112. Give j(24).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -319720?\nAnswer: -319720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8 + 81*a - 42*a + 0 - 43*a. Let k be b(1). Solve k*g = 3*g - d - 5, 2*g - 3*d - 10 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -909 = -42*m - 18*m + 812 + 319 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2, 383628 in increasing order.\nAnswer: -4, 2, 3, 383628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3323291830 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t\/t**(-3)*t*t)\/t*t*t*t))\/t)\/(t*t**(-21)) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 - (-2 + 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.57072ug in tonnes?\nAnswer: 0.00000000002257072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*n + 3, -x - 4*n - 12 = -8. Suppose x = w + 19*w. Solve 3*o + 2*m = -o + 14, -3*m + 3 = w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2684\nAnswer: 1\/2684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4619, -9242, -13869, -18500, -23135, -27774, -32417?\n\"Answer: -2*h**2 - 4617*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33949695 and 637.\nAnswer: 1663535055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 6*r - 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767 - 76735*a - 181 + 76726*a.\nAnswer: -9*a - 948","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 20 = -4*v + 106, -5*v + 5*g + 160 = 0. What is the remainder when 268 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41125 is divided by 212.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -83.\nAnswer: 30\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3*d + 11. Calculate q(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417399.\nAnswer: 3, 139133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**2 - o**3 + 11*o + 8 + 0*o**3 + 0*o**3. Let j be x(10). Suppose 3*u + j + 36 = w, 3*w - u - 122 = 0. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708373 less than 708364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336492 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 2827742?\nAnswer: -2827738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, j: 2, f: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b**2 + 36*b + 1. What is q(4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1776963*s**2 + 2289787?\nAnswer: 3553926*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2932 < -2944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v**3 + 0*v**4 + 1\/840*v**8 + 0*v**5 + 22*v**2 - 1\/525*v**7 + 0*v**6 + 0 + 0*v. Find k, given that s(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105010*y**2 - 37*y + 685.\nAnswer: -210020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-1 - 1 + 1)*(0*u + 3*u - u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4\/9)*p))**(5\/21)*(p\/p**(-2\/13))\/(p*p**(-6)) assuming p is positive.\nAnswer: p**(15380\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -19*z - 169. Let d be f(-9). Solve 0 = -2*k + x - 1 - 5, 3*k + d*x + 23 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/9 + 656*w**3\/3 - 271198*w**2\/9 - 1156216*w\/3 - 1180120 = 0. Calculate w.\nAnswer: -6, 181, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -5, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -39*a + 37*a - 105. Which is smaller: -330 or a?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2170 - 1040 = 113*k. Solve 5*a + 8 = -2*p, -6*a + k*a = -p - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 7*w**2 - 6*w - 7. Let k(j) = j**2 - 12*j - 11. Let y be k(8). Let q = 51 + y. What is the least common multiple of q and h(8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182528 divided by 1472?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15265 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 509.79 + -500. Let w = 11 - s. Let b = w + -1.2. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.2056 + -0.3\nAnswer: 10.9056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -5, -6018485.\nAnswer: -6018485, -5, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 7*n + 5. Let m be j(4). Suppose 0*o = 18*o - 1602. Suppose -15*w = -o - 46. What is the greatest common divisor of m and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 7*z - 1605. Let u = z + -130. Is 191 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-6)\/(-21))\/((-48)\/(-42))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15629 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 12:29 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7361 and 153?\nAnswer: 66249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22736 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -633276*q**4 - 36*q**3 + 405529*q**2 - 490?\nAnswer: -15198624*q - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.1789065 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -290221 - -65?\nAnswer: -290156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 8, h: 3, c: 2, e: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 8*x + 4. Let m be t(-6). Suppose 17 + m = 3*b. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*g - 1694 - 5126 = -646*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3405218685.\nAnswer: 3, 5, 11, 173, 119293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {z: 1, p: 2, d: 3, n: 2, m: 1, s: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -33\/2. Let p = 725963\/12 + -60543. Let l = -46 - p. Which is the third smallest value? (a) n (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 2, z: 1, p: 1, l: 3}. What is prob of sequence lb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l = 71*l + 42 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 13. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l. Suppose 0 = -l*f + 4*f + 4*y + 8, 2*f = y + 8. What is the units digit of ((-7)\/f)\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:18 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 392 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 15212136.\nAnswer: 2, 3, 179, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-6))\/(-2))\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11011321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhohh. Give prob of sequence zo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 11214784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 3. Let d be (-2)\/7 + 268\/(-385). Let q = -2\/11 - d. Sort 0.5, z, q in ascending order.\nAnswer: z, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + 5*(sqrt(720)*1)**2.\nAnswer: 3592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -2. Let g be (-2858)\/(-20) + 2\/(-4). Let i = 143 - g. Sort x, i, 0 in descending order.\nAnswer: i, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136524 is divided by 268?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 14*r + 24. Calculate w(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 1083, 2236, 3791, 5742, 8083, 10808, 13911?\nAnswer: 17386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257700709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6) + (-19)\/(-2). Suppose 0 = -z - 2 + o. Solve -3*r + r = -z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21753133 to four dps.\nAnswer: -0.2175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*s + 1324*s = -56420 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 4*m. Let k(o) = -8*o**2. Determine r(k(w)).\nAnswer: 64*w**4 - 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283106811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24010558 = -6*z + 282012670. Let h = z - 8200352. What is h rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332 + -5628\/17. Let x = -63\/85 + s. What is the third biggest value in -5, x, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1396032 divided by 4.\nAnswer: 349008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 15. What is the highest common divisor of m and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u - 5*u - 9*u)*(-5 + 2 + 2)*(0*u + u - 2*u)*(3 - 1 - 4) - 3*u**2 + 0 + 0 as k*u + j + r*u**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26025 or 26026?\nAnswer: 26025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 16. Let q be u(-3). Let r(y) = y**3 + 4*y**2 - y + 5. What is r(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -588. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 240, -48, -6?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 times 905879?\nAnswer: 64317409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -598 + 600. Sort 5, 8, d in decreasing order.\nAnswer: 8, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30858, -62688, -94498, -126282, -158034?\nAnswer: -189748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 14. Let c(d) = 5*d - 15. Let y = 81 + -115. Let n = -37 - y. Let o(w) = n*c(w) + 4*m(w). Determine o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/6750*18)\/(3\/(-18)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + 12496636.\nAnswer: 12496677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 658180319 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y**2 + 8*y**2 - 33*y**2 + 12*y**2. Let u(k) = 36*k**2. Give z(u(c)).\nAnswer: -1296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - -3 - (0 + -5). What is the highest common factor of 47 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 1)*(14 - 174\/12). Let m be 2*1*(-4)\/28. What is the closest to m in -3, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 2.3. Which is the nearest to n? (a) 0.2 (b) -4 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = 43*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = -6*h + 662. Let z = -70 + h. Let f be (z\/(-3) - -3) + (-1)\/(-1). Does f = 8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41608 and 58699972?\nAnswer: 2972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 194656466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {c: 2, k: 7, s: 1, z: 9, b: 1}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/9 + 28\/9. Calculate the common denominator of (-484)\/(-280) + 51\/(-119) and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923, -1844, -2767, -3692, -4619, -5548?\nAnswer: -6479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1712\/(-424) - (-1 + -2 + -5 - -4).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0.3, 17\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -140 and 0.0253.\nAnswer: -3.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -116818127\nAnswer: 584090635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -8\/3, -0.3 in descending order.\nAnswer: -0.3, -0.4, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - 21*c**2 - 17*c + 25. Let n(a) = 3*a**3 + 14*a**2 + 11*a - 17. Let b(l) = -8*n(l) - 5*p(l). What are the prime factors of b(8)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = 2. Let q be t\/1*(-14)\/2. Suppose -3*z + c = -c - 99, -c + 178 = 5*z. What is the greatest common factor of q and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 4. Suppose 0 = -k + 9 + 1. What is the remainder when h is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -1.8. Let c = 85 - -59. Let u be -3*(-3)\/c*2. What is the second biggest value in i, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - 2*x**2 + x. Let d(k) = k**3 + 6*k**2 + 5*k + 1. Let g be d(-5). Let b be o(g). Factor -3*z - 3*z**2 - 3*z**2 + 3*z**b.\nAnswer: -3*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89463108?\nAnswer: 2, 3, 7, 1065037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31176872.\nAnswer: 2, 19, 205111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -20*d - 202. Let c be s(-11). Let u be -6 + c + (6 - 13). Solve -w = -i - 8, 5 = 5*w - u*i + 7*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 3. Let o(b) = b - 2. Let q(y) = 2*i(y) - 3*o(y). Let j(t) be the first derivative of t**2 + 5. Give q(j(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*i**3 + i + 0*i - 4*i**3 - 8*i in the form h*i**3 + n*i + r*i**2 + j and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**2 + 4*p - 13. What are the prime factors of t(3)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 - 11*x + 1. Let g be v(-5). Suppose z = -z - g. Does 15 divide 47\/2 - z\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 34. What are the prime factors of a(-9)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30986?\nAnswer: 2, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 344, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.123 and -2.6.\nAnswer: 0.3198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 7. Let o be b(11). Put -0.4, o, 0.3 in increasing order.\nAnswer: o, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 10*l - 2*l - 7*l.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 + (-257 - -271 - (28 - 0)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/9 - 3*m**4 - 118*m**3\/9 - 182*m**2\/9 - 41*m\/3 - 31\/9.\nAnswer: (m - 31)*(m + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154*0.0128742.\nAnswer: 1.9826268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3977501275?\nAnswer: 5, 11, 14463641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*w = -560*w - 60099 + 16272. Which is smaller: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-6\/7))\/g*g*(g*g\/g**(2\/13))\/g)\/(g**(5\/6)*g*g*g\/g**8) assuming g is positive.\nAnswer: g**(3751\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(80) - (-5 + sqrt(80) + 2 + sqrt(80)))**2*-3.\nAnswer: -2235 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 19*i + 1. Calculate o(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*l - 6592247 + 6588013 = 0 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1468344133.90999243 + 1468344140. Let n = 6.09 - x. Round n to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -3, 1, 5 in ascending order.\nAnswer: -24, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19887*r - 116. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**5\/5 - p**4\/2 + p**3\/3 + 15. Factor f(x).\nAnswer: x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + -3*sqrt(605) + -1 + sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605) + 5)**2*-3.\nAnswer: -9210 - 990*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + 0.04. Let v = -7\/15 + 4\/5. What is the second biggest value in 0.3, j, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11 + 10)\/((-1)\/65)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 + 7*j + 5. Let l be p(2). Solve -9 = 6*f - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-206)\/(-6) + (-2)\/(-3). Let o = t - 24. Find the first derivative of o*c**2 - 1 - 2*c**3 - 11*c**2 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhzhujhmuhhyzhhhyhh. What is prob of picking 1 u, 1 y, and 1 j?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**5\/10 - 39*u**4\/8 + 27*u**3 - 201*u**2. Factor y(b).\nAnswer: 3*(b - 18)*(2*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**4*f + 27*b**4 - b**3*f**2 - b**2*f**2 - b**2 + 206*b*f**2 wrt b?\nAnswer: 72*b*f + 648*b - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = -201 + 141 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4451*i*n**2*r - 8120*i*n**2 + 941*i*n*r + 150*i*r - n*r - 28*r - 1 wrt n?\nAnswer: 8902*i*r - 16240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -906954, -906947, -906940?\n\"Answer: 7*t - 906961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 12*l - 4. Determine c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.515136479 to two decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 40. Let z be v(17). Let l be 6*1*(-3)\/z. Let a(y) = 2*y + 6. Let d be a(l). Solve d = -0*s + 3*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.0278815 days?\nAnswer: 40.14936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3771.83 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 44 in ascending order.\nAnswer: -4, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/14)*v))\/v)\/(v*v*v**(3\/20)) assuming v is positive.\nAnswer: v**(-431\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 257507?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 10, -2*i - 16 = -2*k + 24. Solve k*j = 17*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 14*p + 25 - 16.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**4 + 2205*d**3 + 6540*d**2 - 13180*d - 17520 = 0.\nAnswer: -438, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-87)\/315 + 8\/60. What is the nearest to -3.6 in 1, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1392721726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19, -4, -1, -20 in descending order.\nAnswer: 19, 2, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 + -348.6.\nAnswer: -300.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1178, -1175, -1172, -1169?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -163, -4, 1, -5 in ascending order.\nAnswer: -163, -5, -4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(-3))\/((-13)\/10881)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24910 and -34482.2463.\nAnswer: -9572.2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.05 - -0.05. Which is the third biggest value? (a) 0.2 (b) -1\/7 (c) n (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 340735*h. Let m(n) = -2*n. What is u(m(b))?\nAnswer: -681470*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41\/3 - 13. Are 2 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40427 at least 40411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -43*p**6\/120 + p**3\/6 - p**2 + 5. Suppose 48*a - 39*a - 9 = 0. Calculate c(a).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 14) in base 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 0)*(-2*r + r + 0*r) - 3*r + 0*r + r - 2.\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*j + 47 = 0, -2*i + 0*j + 25 = -3*j. Suppose -6*n - i + 56 = 0. Suppose 38 = t - n. Calculate the remainder when t is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 77875, 78693, 80055, 81961?\n\"Answer: 272*q**2 + 2*q + 77601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = t - 38. Suppose 2*c + c + t = 0. Is 4\/c + (-2)\/(-5) - -21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0.24 in decreasing order.\nAnswer: 4, 0.24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 107.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -134? (a) -1\/549 (b) -3.09 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/58 and -67\/4650.\nAnswer: 134850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)\/((((d**(-4\/13)\/d)\/d)\/d)\/d))\/((d**(-4\/5)\/d*d)\/(d*d**2)) assuming d is positive.\nAnswer: d**(2837\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 7*g - 52. Give h(-7).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -843*x**3 + x - 181?\nAnswer: -5058*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*n - 244*n + 44881 = 0 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6)\/(-12)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2131677*1.\nAnswer: 2131677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10229496 by -3.\nAnswer: -3409832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8264613, 16529226, 24793839, 33058452?\n\"Answer: 8264613*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**2 - 636*i - 33708 = 0.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 7. Let k = -15 + 25. Calculate the least common multiple of k and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237312 take away 0.034?\nAnswer: 237311.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396957428 by -1.\nAnswer: 396957428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1655245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 9*q**2 + 60*q + 366. What is s(-12)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 435 + -188. Let d = a - -933. Round d to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 15*q**4 + 39*q**3 - 33*q**2 - 39*q + 18 = 0.\nAnswer: -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/45 + -1 - (-80)\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 5*j - 4. Let x be l(5). Let z = 24 - x. Find the second derivative of 5*v**4 + 8*v + 0*v**3 + 0*v**z - 7*v**4 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58202162 to the nearest integer?\nAnswer: 7629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8097 - 7408.68. What is n rounded to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 180834*h - 2725077963.\nAnswer: -3*(h + 30139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6635613930?\nAnswer: 2, 3, 5, 11, 1093, 18397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13787, 54474, 122283, 217214?\n\"Answer: 13561*y**2 + 4*y + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -20, -31, -44, -59?\n\"Answer: -v**2 - 6*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (34 - 46) + -33 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1097*s - 6040 = 853*s - 1274 + 6214 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5808.114 kilograms?\nAnswer: 5808114000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346507160 + 190814992 - 177662656 = -184*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4609.4 to the nearest 10.\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-377)\/(-8) + 2\/(-16). Let i = c - 43. Solve 3*f = -2*k - i, -4*f + 0*k + 2*k = 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(16 + 2)\/(-3). Let x = -6 + u. Suppose -2*b + 0*b + 20 = x. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 a factor of 392578979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**7\/210 - r**5\/20 + 3*r**2\/2 + 2*r. Let v(h) be the first derivative of k(h). What is the third derivative of v(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*q**3 - 2011*q**3 + 24*q**2 - 24*q**2 - 942*q**3.\nAnswer: -2499*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16943221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (60\/(-14))\/(7\/(-49))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/7 + 128980839*m**2\/7 - 36851667*m + 128980833\/7.\nAnswer: -3*(m - 42993611)*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-7) - 1016\/84*-3 and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -24. Let l = 28 - z. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y, 13 + 2 = -3*j + 3*y. Let w(a) = -133*a - 60. What is the hundreds digit of w(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**2*z - 12*f*z - 3301*f - 11064283*z wrt f.\nAnswer: -8*f*z - 12*z - 3301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, e: 8}. Give prob of sequence ee.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*g + 107*g = 12. Let o(c) = 1 + 3 - 3 - 1 + 9*c**g. Let z(b) = b. Give z(o(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6118\/90393 + 4\/3117. Suppose 3 = -5*r - 2. Is u smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-10)\/(-260)). Let m(o) = -o**2 - 13*o + 13. Let q be m(j). Calculate the greatest common factor of 117 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-4 + (3 - 6))) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6664.514 to the nearest ten.\nAnswer: -6660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -149, 0.1, -1\/3, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**8\/6720 + d**7\/420 + d**6\/80 + d**5\/10 + 13*d**2. Let q(s) be the third derivative of g(s). Factor q(a).\nAnswer: 3*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -56, -151, -308, -545, -880, -1331, -1916?\n\"Answer: -3*z**3 - 4*z**2 - 18*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.147, -2, 0.07, -4, 76 in descending order.\nAnswer: 76, 0.147, 0.07, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 53 (b) -2\/19 (c) 100 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16228775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*-4*1*18\/36\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13368738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 5, n: 1, g: 4, x: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((8925\/(-306))\/35)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 3*r - 23, -2*h + 18 - 13 = -3*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y = -17*y + 1320. Sort 1, -5, y, 4.\nAnswer: y, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(114\/(-14) + 19*(-16)\/(-2128)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*l**2 + 4392*l - 32863 wrt l?\nAnswer: -10*l + 4392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 36563*x + 1389396. Give c(-38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20767 + 20767.19. What is the closest to k in 2\/15, -5, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*p - 660*p**3 + 7 + 1316*p**3 - 891*p**2 - 655*p**3 + 132*p as b*p + f*p**2 + h*p**3 + x and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - (-6 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 11*c**2 + 3. Let o be n(11). Let d be (6\/(-16))\/(o\/(-2)). Factor -d + 1\/4*x**2 + 0*x.\nAnswer: (x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q - 1444*q - 1069*q - 1155*q.\nAnswer: -3623*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1568 + 1572 + 2*d - 3*d. Determine h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 38 = -10. Suppose m = 5*g + 3. Which is the closest to -1? (a) g (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - 6*sqrt(475)) + sqrt(152)\/sqrt(8)*-2 + sqrt(19))**2 - (4*(sqrt(133) + sqrt(133) + sqrt(133)*2 + sqrt(133)))\/(sqrt(42)\/(sqrt(18)\/sqrt(3))).\nAnswer: -20*sqrt(19) + 12844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 11. Let l be i(5). What is the second smallest value in -0.18, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12*l - 16718 = 0. Suppose 14*x - l = 940. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a*m**3 + 12*a + 27*m**4 wrt m?\nAnswer: 15*a*m**2 + 108*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - b**2 - 5*b + 643. Let s be m(0). Let y = s - 562. Which is smaller: 80 or y?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -7806.336?\nAnswer: 7806.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -27*c**2\/7 + 57*c\/7 + 72\/7 = 0?\nAnswer: -8\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 348.189416 * 0.3.\nAnswer: 104.4568248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1145*t + 42077 - 8406 + 51455 + 21359 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9623 times -36?\nAnswer: -346428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 137717147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 - 33*d**2 - 72*d + 51*d**2 to m*d + l*d**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17)*1 + sqrt(17)))**2 + -5.\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {t: 1, m: 4, r: 2, v: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.10379515.\nAnswer: 0.010379515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 100 = -6*a. Let p(i) = 5*i**2 - 31*i - 6. Let s(g) = -6*g**2 + 34*g + 5. Let o(c) = 7*p(c) + 6*s(c). Calculate o(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a hour?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1246300 by -20.\nAnswer: -62315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65814264, -65814261, -65814258, -65814255?\nAnswer: -65814252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 1, n: 1, c: 2}. What is prob of picking 2 c and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -299579370*s + 178973265?\nAnswer: -299579370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -678 - -552. Which is greater: v or -129?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*l + l - 30, 4*l = 3*m + 94. Let o(j) = 3*j + 2. Let d be o(-6). Let a = d - m. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(6 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.7097ml to litres.\nAnswer: 0.1187097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/7728 and -53\/5796.\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3149, 0.04 in descending order.\nAnswer: 3149, 0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 18*s**2 - 20*s + 19. Let z be j(19). Suppose -142 - 501 = -p + 3*h, -p - 5*h + 651 = z. What are the prime factors of p?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10757396 to the nearest one hundred thousand.\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/8*(-1040)\/(-20).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8361 + 8367 + 0\/2 + 78\/(-16)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/365520 and 59\/5574180?\nAnswer: 22296720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -56. Suppose f - 34 + 32 = g. What is the lowest common multiple of 31 and f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280014)\/6667*2\/133.\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-880)\/(-128) - 7)\/((-6)\/8)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 100.047. Let k = -0.0074 - c. Let i = -0.05 - k. Round i to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 78. Factor -8*p + 9*p**2 - 2*p**4 - 10*p**2 - 12*p**3 - 17*p**y.\nAnswer: -2*p*(p + 1)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:16 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -0.2, -3, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 11680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.935 + 0.065. Let t = h - 32. Let p be (-7)\/9 + 1 + (-80)\/(-450). Which is the closest to t? (a) -1 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165427?\nAnswer: 17, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 9*p**2 + 10*p - 8. Suppose -2*c = 592 - 572. What is f(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 8*g + 3. Let x be (7\/(-21))\/(1\/(-15)). Give q(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.199846 + -12.2. Round w to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1274.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 45*o**2 + 13*o + 598. Let a(n) = 2*n**2 + 8*n + 6. What is the remainder when a(-7) is divided by u(-45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24886506?\nAnswer: 2, 3, 23, 180337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6787638?\nAnswer: 2, 3, 11, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n*x**3 - 44*n*x - 38476*n + 1249438*x**3 wrt x.\nAnswer: 18*n*x + 7496628*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3840 and 24.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 659206?\nAnswer: -659209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32583*v**3 - 65161*v**3 + 32577*v**3 + 1752.\nAnswer: -v**3 + 1752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*a - 8 = d, 4*d - 6 = -a. Put 2, d, -0.5 in decreasing order.\nAnswer: 2, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.039 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -64. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 - 2) + 41 + 8225?\nAnswer: 2, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*d + t + 905, 0 = -3*t + 15. Let m = d + -77. Suppose -m = -5*n + 4*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/((-18)\/(-81)). Suppose 3*o + 3 = -3. Put c, o, 1 in decreasing order.\nAnswer: c, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 126 = -144. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 69. Let p = 138 - r. List the prime factors of p.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33466 - 104*y**2 - 33466 to s + i*y**2 + v*y and give i.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/3 + 2336*v**2 + 365698*v\/3 - 124236 = 0. Calculate v.\nAnswer: -3451, -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 168 + 3 = 0. Let c = n + -12. Solve -i + c = -2*u, 3*u = -i + 2*i - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i - 10. Let s(g) = 242129*g**2 + 102*g - 242147*g**2 - 102*g. What is s(v(r))?\nAnswer: -162*r**2 - 1080*r - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 28238.9 to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 1 t when three letters picked without replacement from tctpcfcttcctctftcc.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2054*a - 2642. What is y(-2)?\nAnswer: 1466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*k + 29*k + 19*k + 251 + 245 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8723998 = 3*h, -2*h - 5*m = -h + 2908010. What is h rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6266 + -10486. Round g to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48.19 - 48. Let j = h - -0.21. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 39*n - 60*n**3 - 39*n.\nAnswer: -71*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57012159 to the power of 1\/2, to the nearest integer?\nAnswer: 7551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -99. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14489 is divided by 353?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**4\/12 + 10*w**3\/3 + w**2\/2 - 439*w. Determine k(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.161306968 to 3 decimal places.\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.03 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -787 + 790. Differentiate c + 9*s**2 - 21 + 105 wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0*c**3 + 9 - 2*c**3 + 2*c**2 + 5 - 12. Let g be q(-2). Find the third derivative of -4*j**5 - 7*j**5 + g*j**2 - 19*j**2 wrt j.\nAnswer: -660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 > 9134\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 18*f - 9. Is y(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.2 + 1.2. Let d = 3.68 + r. Let x = d + 1.32. Which is greater: x or -3\/14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113012412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1727c6a (base 13) to base 3.\nAnswer: -112010001201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = -2*f + f, -38 = -5*y + 4*f. Let j be 231\/15 + 6\/y. Suppose 2*c - j = 54. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/4 + 3*t**2 - 3*t. Let c(i) = -i**3 + 9*i**2 - 8*i + 4. Let s be c(8). Let f = s + -3. Give w(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/5 (c) 64 (d) 27\/5 (e) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -574.652 - -0.652. Let i = -574.00457 - r. Round i to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -4 (b) 2\/17 (c) -4\/29 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvwbwpbskkkb. What is prob of sequence wsv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 less than -2.4?\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 3*h)*(2*h**2 + 2*h**2 - 3*h**2 + (0 + 0 + h)*(6 - 18*h - 6) + 5*h**2 - 4*h**2 - 4*h**2).\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(374)\/(sqrt(44)*5))\/(((sqrt(2) - sqrt(8))*4 + (sqrt(162)*-1 - sqrt(162)))*-5).\nAnswer: -sqrt(17)\/1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/4)\/t**(-2\/11)*((((t*t**(2\/23)\/t)\/t)\/t)\/t)\/(t*t*t**(-2\/21)\/t) assuming t is positive.\nAnswer: t**(-61333\/21252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(0 + 5\/10). Which is the second smallest value? (a) 0.7 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:00 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t - 3. Let k(u) = 2 - 1255*u + 0 + 421*u + 415*u + 414*u. Calculate 5*k(j) + 4*y(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -204 + -4?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1186007\/103 or 11515?\nAnswer: 11515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 45, 64, 87, 114?\n\"Answer: 2*s**2 + 9*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 11*g**2 + 28*g - 21. Let a be j(13). Suppose a*f - 662 - 61 = -4*h, -149 = -f - 3*h. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 9 - 6 = 0. Are 2\/81 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 20*q**2 - 13*q + 570. Let v(t) = 26*t**2 - 18*t + 762. Determine 9*d(z) - 7*v(z).\nAnswer: -2*z**2 + 9*z - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 4*v**2 - 4*v - 4. Let w be x(-2). Let n(h) be the second derivative of -h**4\/12 + 2*h**3\/3 - 5*h**2\/2 - h. Give n(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(26)\/sqrt(2) + 2))*2 + (6*(sqrt(78) + (2*sqrt(78) - sqrt(78))))\/sqrt(6).\nAnswer: -4 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 4 = 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 18*d**2 - 17*d + 8. Calculate v(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(-105))\/(7\/(-140)))\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*f - 91, -f = h - 24 + 3. What is the remainder when 79 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 + -2 + 49 + -2 + 20\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + 0 + 2 + -2. Suppose -2 = -z + 4. Suppose f + 0 = z*y. Solve 3*x + 3*q = 24, y*x = 3*q - 6 + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261623 and 2636.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25437, 50818, 76199, 101580, 126961, 152342?\nAnswer: 177723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(3) + sqrt(7) + -4.\nAnswer: -4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jez when three letters picked without replacement from {j: 3, z: 2, e: 10, b: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9649996, -9649985, -9649968, -9649945, -9649916, -9649881?\nAnswer: -9649840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 685515 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 485*p + 485*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2. Suppose 16 = 2*j + 4. Let o(x) = x**2. Calculate j*o(i) - k(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.234 * 98.34\nAnswer: 23.01156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640 and 96.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 13*w - 9*w. Factor -2\/5*f - 4\/5*f**w - 2\/5*f**5 + 2\/5 + 2\/5*f**4 + 4\/5*f**3.\nAnswer: -2*(f - 1)**3*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 159\/7 + 6\/21. Let o be d\/4 - 1\/(-4). Suppose 2*m = o*m - 16. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 3 + (0 + 1 + 0)*(-5 + 1 + 2))*(-2*w + 6*w + w) to z*w + i and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-8) - 3162\/(-2480)*270\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -2 in ascending order.\nAnswer: -8, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzkkkkkkkk. Give prob of picking 2 k.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -5 (c) 2\/15 (d) 2252 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 3*g + 1, 0 = 2*o + g - 12. Suppose 6*y + o*r + 13 = 3*y, -2*y = 2*r + 2. Suppose 23*x = y*x + 95. Let z(l) = 2*l - 5. Determine z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-460)\/(-8)*(0 - 2). Let m be (18 - 16)*b\/(-2). Suppose -2*p - 24 = -2*g + 2*p, 5*g = -p + m. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 39*x + 375. Let g(c) = -53. Let d(z) = 14*g(z) + 2*t(z). Let y be ((-2)\/4)\/(1\/(-2)). List the prime factors of d(y).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -58 (b) -30 (c) -1.8 (d) -6 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -9*407\/429\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18848 and 6479.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n**2 - 2019*n + 382. Let h be x(126). Let w(d) = 3*d. Let a be w(1). Solve -v = -i + a*i + 2, -h*v + 7 = 3*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100026 + 1061?\nAnswer: -76745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -18, -1, 5, -14, 60 in descending order.\nAnswer: 60, 5, 4, -1, -4, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 504 = 3*i + 69, 0 = 2*h + i - 227. What is the greatest common factor of h and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m + 72. Let c(x) = -20*x + 144. Let o(j) = -3*c(j) + 5*n(j). Differentiate o(r) wrt r.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4) + 14 - (1 - 12).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 186b5c4?\nAnswer: 186b5d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 11700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -9*w**2\/2 + 26*w - 8. What are the prime factors of y(-10)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1236523121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441515 and 56405?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 61 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(-14)*(2 - (-122 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q + 43*q - 63*q - 71 = -4*k, 2*q + 5*k = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60329\/122*(1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*b + 10. Let n(y) = 2*y**3 - y**2. Give n(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 1519?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 6*w**2 + 37*w + 24. Calculate the remainder when o(-8) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 91*y - 48*y - 45*y in the form v*y**3 + q*y**2 + z + r*y and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b + 2 - 3*b**2 - 3*b - 254*b**3 + 3*b - 5. Let m(u) = -u**3 + u. Let a(i) = c(i) - 6*m(i). Is a(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -457*k**3 - 28*k**4 + k**2 + 452*k**3 - 1 - 7*k + 7*k + 10*k**4 wrt k.\nAnswer: -432*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72068607 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -995*f*i**2*l**2 + f*i**2*l - 230*f*i*l - 2*f*i + 691*f*l + 8848*i**2 + 6*l**2 wrt i?\nAnswer: -1990*f*l**2 + 2*f*l + 17696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-60)*3 - 738\/10. Let a(h) = 111*h**3 + 2*h**2 - 3*h + 2. Let v be a(1). Let s = v + n. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -7*q**4\/24 + q**3\/2 + q**2. Let v(d) be the first derivative of 10*d**2 - 8*d - 2187. Give 8*t(g) + 3*v(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210.0204 + -210. What is o rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4\/7, -4.2 in increasing order.\nAnswer: -4.2, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 37\/6 + -6 + 26\/6. Let t = 7 - m. Let z = 0.22 - 0.28. Sort z, -4, t in increasing order.\nAnswer: -4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/6 - -73\/30. Let g = 0.27 + 0.03. Let f = 9 + -13. What is the nearest to t in f, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8003 divided by -151.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 48*y**2 - 10*y + 519. Let h be z(-48). What is the greatest common factor of h and 777?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, 2181, 4802, 8437?\nAnswer: 13086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 494*g**3*h**3 - 23*g**3*h + g*h**3 - 10643*g*h**2 + 2*g*h + 786*h**3 - 2*h**2 wrt h.\nAnswer: 2964*g**3 + 6*g + 4716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63213853921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 - 4 + t - 2 + 3*t. Let z(u) = -3*u - 3 + 6 + 1 - 2*u. Let j(m) = 4*q(m) + 3*z(m). Let w(c) = -c**2. Determine j(w(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.02. Let h = -0.12 - g. Which is the nearest to h? (a) -0.2 (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392\/(-44) + (-16)\/(-2 + 0)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32\/13, 341, 0.3?\nAnswer: 32\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1800.84594 to the nearest ten.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -38*f - 10. Let h(d) = d**3 + 12*d**2 + 4*d + 46. Let s be h(-12). Calculate the smallest common multiple of 9 and w(s).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 883045 by -26.\nAnswer: -883045\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + -3 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22139, -44045, -65963, -87899, -109859?\n\"Answer: -r**3 - 21899*r - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + x**4)*(4*x - 3*x + x) + 2*x**5 - 4*x**3 + 4*x**3 + 0*x**5 - x**5 + 2*x**5.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2433 and 2505 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 12, 0 = -i - 3*c - c - 6. Solve -2*j + i = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 33749*v**4\/4 + v**3 - v**2 + 6. Let o be c(2). Suppose r - o = 4*r. Round r to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*s + 45 = 0, -1 - 2 = 3*s. Suppose -47*k = -43*k - 872. What is the least common multiple of k and v?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 199 - 3*d**3 - 199.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-140)\/72)*(-168)\/(-48).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/8 + 5 - (-18)\/(-20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -40*i + 166. Let j be ((-5)\/1)\/(9\/18). What is the tens digit of r(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*x = 21879 + 15256 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10541\/196 greater than 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 35 = v, -5*o - 69*v + 70*v = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 7. Let h be m(-2). Suppose -773 = h*g + x, 6 = -8*x + 6*x. Calculate the common denominator of (8\/(-14) - (-87)\/g)\/(-2) and -59\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/64*-6*440\/165*-6.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((10\/5)\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/1 - 1 - 2. Solve r = -4*h + 3*b + 31, b = -4*h + 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 427*k**2*p**3 - 10*k*p**3 - 14*k*p wrt k?\nAnswer: 854*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3\/3 + 5*a**2 + 3*a - 6. Let q be l(8). Solve -3*t = -5*h - q, 5 = 4*t + h - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/297 and 11\/324.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 2 - 1) + (123 - 118).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f - 76*f + 2130 = 0. Calculate the remainder when f is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/70 - -193\/35. Let h = 17\/3 - d. Which is the nearest to -1\/2? (a) h (b) -2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 12 = -5*y + y, 0 = 2*y + 4*q + 16. Let j(v) = -v**3 + 10*v**2 + 3*v - 20. Let x be j(10). What is the highest common divisor of y and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 - -291. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*n = -6 - 2, -5*l - 3*n = -16. Suppose -135 = -l*x + 5*x. Do -44 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47657\/3 + -15885. Which is the nearest to 2\/7? (a) 0.22 (b) -1\/2 (c) -2\/5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*d**3 + 2 - d**2 + 3*d - d**2 + 44*d**3 to t + f*d + r*d**2 + l*d**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 8*i + 6. Suppose 0*n - 10 = 2*n. Let q be s(n). Let h = q - -10. Let v(p) = -9*p. Give v(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o - 55. Let h(t) = -t**2 + 35*t + 466. What is the remainder when h(44) is divided by 402\/33 + 2\/o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -9, 2 in decreasing order.\nAnswer: 21, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 4 - -2) + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 2321.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -0.02, 6, -5 in decreasing order.\nAnswer: 7, 6, 4, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 2e?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y**4 + 51*y**3 - y + 45*y**3 - 42*y**3 + 48*y**3 - 7*y**3 as s*y**3 + h + q*y**2 + r*y + p*y**4 and give s.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990054227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = -v + 216. Calculate the greatest common divisor of 36 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126*z**4 + 9712*z**3 - 63*z**2 + 4338349*z + 7.\nAnswer: -1512*z**2 + 58272*z - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(396) - (-3 + sqrt(396))) + sqrt(396) - sqrt(396)))**2*1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -17, -5, -3, 1\/4, -1 in descending order.\nAnswer: 11, 1\/4, -1, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 1432, 4746, 11158, 21694, 37380, 59242, 88306?\nAnswer: 125598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83b3 + 2?\nAnswer: 83b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*z + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 5 = -2*b + 12*i, 2*b + 5*i = -35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by -35408.\nAnswer: 225\/17704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - (-4 + 6 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -34*r + 90. Solve 5*i + r*p - 15 = 6*i, -3 = -p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2018, -7355, -16012, -27989, -43286, -61903, -83840?\n\"Answer: -1660*x**2 - 357*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 1. Let o be u(0). Let b = 3 - o. Suppose b*p = -0*s + 3*s, 0 = 4*s - 3*p - 7. Calculate the remainder when 6 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.276023cm?\nAnswer: 12760.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422.5 - 337. Let v = 90.19 - i. Round v to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r**3 + 8*r**2 - 11*r - 7. Let c be w(3). Which is greater: -212 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48242235650 + -193?\nAnswer: -48242235843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((1\/(-7)*(-4)\/4)\/((-696)\/15312))\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 32 - 2 - g**2 - 8.\nAnswer: -2*g**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-10\/7)*(k\/k**(-2\/5)*k)**(15\/4))\/(k**(-2\/3)\/(k**(-2\/27)\/k))**(3\/5) assuming k is positive.\nAnswer: k**(2308\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2295)\/(-90)*16\/(-24).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142166 and 1798?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v**3 + 17 + 0*v - 15 + 8*v**3 + v to r*v + k + h*v**2 + u*v**3 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15 - 0*3\/(-12). Does 6 divide (-6)\/45 - 137\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4590*c = 4586*c + 13, 12*t - 88 = 2*c for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -21 - 11, 0 = -4*p + 4*x - 40 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 74*a - 5. Let w(o) = 233*o - 15. Let j(u) = -19*b(u) + 6*w(u). What is j(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + s - 4*s - 119, 15 = m - 5*s. Let n be -3 + 85\/m + 654\/15. Suppose -7*g = -n - 40. Solve p - k - 16 = 2*k, -g = 3*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*p**2*q**3*x + 203*p**2*q**2*x - 8*p**2*x + q*x - 82*q wrt q.\nAnswer: -270*p**2*q*x + 406*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -69, -455, -3, 1 in ascending order.\nAnswer: -455, -69, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x + 10. Suppose 2*y - 4*j - 3 = -y, -j = -2*y + x. Suppose -r = 0, -2*r - 3*r + 15 = 5*f. Solve -f*p = -y + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 41*a - 4. Let m be j(3). Let y = -27540 + 27574. Calculate the greatest common factor of y and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -19, -2, 1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 - 4*v - 1. Let l(h) = -h**2 - h. Let p(t) = -6*l(t) + u(t). Suppose 0 = 174*q - 349 + 175. Give p(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22ffa - 964?\nAnswer: 22696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355 + 299 = -14*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 346 + -331.2. Let v = n - 14.80349. What is v rounded to four dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*(t\/(t**(-1\/3)*t))\/t)\/((t**3*t)\/t*t*t**(-2\/3)))\/((t\/(t**(1\/4)\/t))**(-6\/5))**8 assuming t is positive.\nAnswer: t**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 954 - 955. Let x(v) = -v**2 - v + 1. Let j(o) = -5*o**3 + o**2 + 3*o - 3. Let y(g) = j(g) + 4*x(g). Give y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 21*x + 1. Let p = -13 - -25. Let a = p + -22. Does 21 divide n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/30 + 5*c**4\/24 + c**3\/3 + 5*c**2. Let k be v(-3). Suppose -k*q = -m - 6*q + 4, -4*m = 2*q - 14. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from fufmwmffmmuunnj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + 3 - 3 - 3*s**3 + 2*s**3 - s**3 + s**3 - 2*s**3 + 2*s**3 + (2*s**2 + s - s)*(0*s + s + 0*s) + 0*s + 2*s**3 + 0*s + 5*s**3 - 14*s + 14*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3482, 13924, 31336, 55724, 87094, 125452, 170804, 223156?\n\"Answer: k**3 + 3479*k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1206\/5, 4, -43.\nAnswer: -43, 4, 1206\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1307040 and 1680?\nAnswer: 1307040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*g = -10523, -g + 15801 = 3*p + g. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.273 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 9:08 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5.2 * -0.0498\nAnswer: 0.25896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2465571*c + 2465573*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(6\/11))**(-27))**38)**(-45) assuming z is positive.\nAnswer: z**(277020\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 h when three letters picked without replacement from hqghnun.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.75 - -0.75. Which is bigger: x or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1692 + 3929. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.90374 rounded to 2 decimal places?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - 5 - -31) + 49.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -24593567*c. Let m(h) = 9*h**2. What is m(d(x))?\nAnswer: 5443591840051401*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1984 and 256?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 175*x**4\/12 + 6739*x**2\/2 + x + 2729. What is the first derivative of m(s) wrt s?\nAnswer: 350*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7528 = -4*s - 0*u, -3*s - u - 5651 = 0. Let x = -1284 - s. Calculate the remainder when x is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 + 27 + 11 - 36) + -13?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2413*m + 56*m + 77781 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-588)\/(-10) - 2\/(-10). Let x(s) = -s**2 - 3. Let y be x(5). Let l = y + g. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -936, -3660, -8192, -14538, -22704?\n\"Answer: -s**3 - 898*s**2 - 23*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 + 3*z**2 + 14. Let j(k) = 6*k**3 + 4*k**2 + 15. Calculate 4*c(b) - 3*j(b).\nAnswer: 2*b**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 128 in 29, 14, -2\/3, 8\/11?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 607550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 8. Let b = 167 + d. Calculate the highest common factor of 63 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 33 = b - 3, -3*v - 28 = -b. What is the tens digit of -6*2\/8*v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3*(-4)\/16*-6. Which is the nearest to x? (a) 2 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 - 85. Suppose -5*o + 3*o = 4*h + 32, o - h + 7 = 0. Let y = 16 + o. Calculate the highest common factor of y and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1739*n + 109058. What is w(-63)?\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*p = 363*p - 123 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1 + s**2 + 146*s + 1 - 66*s - 74*s. Let d(y) = -7*y. Calculate o(d(m)).\nAnswer: 49*m**2 - 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141574*b**3 - 9063*b**3 - 1 + 1.\nAnswer: -150637*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/385 + -3449\/6160. Find the common denominator of 7\/4 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -97. Suppose -5*x = s - 0 - 5, -5*s - 2*x + t = 0. Calculate the greatest common divisor of 65 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/20 - 5*g**4\/4 + 5*g**3\/2 - 13*g**2\/2 + 2*g. Let p be v(-16). Which is smaller: 7\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 - w - 1. Let n(x) = -12*x**3 - 6*x**2 + 6*x + 6. Suppose 3*l = -130 - 95. Let t = l + 76. Calculate t*n(q) + 6*c(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -65171, -11.5 in decreasing order.\nAnswer: 1\/6, -11.5, -65171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + (sqrt(50) - (sqrt(50) + -1)) + (sqrt(18)*2)**2 + 5.\nAnswer: 5*sqrt(2) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 2475 + 2373 - 7*q + q**2)*(6*q**3 - 3*q + 3*q).\nAnswer: -6*q**5 - 42*q**4 - 612*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -891, -1857, -3603, -6519, -10995, -17421?\nAnswer: -26187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/2521 - -4982\/37815. Which is the nearest to 1\/4? (a) 1 (b) 10 (c) 4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12324331 (base 5) to base 14\nAnswer: -31d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -299 less than -299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 11 + (-10 - 1) - (-9 + -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12e0a (base 15) to base 7.\nAnswer: 341326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (280 - 120 - 131)*(5 - s - 5) to v + b*s and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u = -318 + 3. Solve 4*v = 4*x - 12, 5*v - 8*x = -u*x - 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Sort -5, -1, -0.3, -469 in decreasing order.\nAnswer: -0.3, -1, -5, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - (-8 - -9). Let g = -89 - -34. Let n = -163\/3 - g. Which is the second biggest value? (a) -4 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 0*a**6 + 0*a**5 - 1\/210*a**7 + 4*a**2 + 0 + 0*a**3 + 0*a - 1\/24*a**4. Find the second derivative of x(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) 351\/58105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 4*s + 8*s + (-3*s + 2*s - 4*s)*(-1 - 1 + 1)*(3 + 1 + 1) as h + n*s and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) 9 (c) -1\/4 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38779390 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3874775, 3874759, 3874743, 3874727, 3874711?\n\"Answer: -16*z + 3874791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 557615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2258, -2459, -2660, -2861?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27551*c**3 + 36655*c wrt c.\nAnswer: 165306*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -112?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 6*w - 6. Let l be p(10). Suppose 4*z = 5*t + 194, -5*z + 6*t = 2*t - 247. Let f = z - l. What is the remainder when f is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15. Let o(z) = 6*z + 150. Let x(y) = o(y) + 10*p(y). Let h(m) = 2*m - 16. Determine x(h(f)).\nAnswer: 12*f - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*l**2 + 112*l**2 - 263*l**2.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14 = 2*j, -j + 1 = -2. Suppose v = u - 5*u. Which is greater: 1\/10 or u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 4410*z + 17614. Determine y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110211202 - 20?\nAnswer: 2110211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13949339 and 165.\nAnswer: 164.86050661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12271 - -35888. What are the prime factors of g?\nAnswer: 11, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034 - 0.41653?\nAnswer: -0.38253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 77. Let t(j) = 8*j + 108. Let g be t(p). Solve 0 = -5*f + g*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r - 2\/3*r**4 + 10\/3*r**2 + 0 - 2\/3*r**3.\nAnswer: -2*r*(r - 1)**2*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-225)\/27 + 11 - (-4)\/(-6). Solve -23*g + 25*g - k = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*w - 583 = 590. Let f(g) = -2*g**2 - 36*g - 36. Calculate f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4895?\nAnswer: 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223*s**3*w**2 + 143*s**2*w - 2*s**2 + 2*s*w**2 wrt s.\nAnswer: 1338*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3\/5 + 30399*q**2\/5 + 54780*q - 669372\/5 = 0.\nAnswer: -11, 2, 10142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2 + 212*z + 5618 = 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 11 + 0*v**2 + 19 + 5*v**2 + v + 76*v**2.\nAnswer: 81*v**2 + v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + 4) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12100011120122 (base 3) to base 12.\nAnswer: -b4a222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16337550 to the nearest integer?\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -47 - (-1 + -11).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78000 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/4200)\/(4*6\/432)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*o + 360. Suppose 31 = -z + o. Suppose -5*f + 36 = -z. What is the highest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4604, 4641, 4704, 4793, 4908?\n\"Answer: 13*o**2 - 2*o + 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 228091007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - -1 - -3 - (546 + -289 + -176)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-164)\/(-6) + 2 - 1\/3. Are q and 30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 0, -39, 1, -3 in descending order.\nAnswer: 1, 0, -3, -4, -8, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1720 = 3*l - 85. Round l to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/17 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7*h**14*(h\/h**(-5\/3))\/h**(-1\/12) assuming h is positive.\nAnswer: h**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 371370*n - 36346240 = 0. What is n?\nAnswer: 98, 74176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 125.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 61 (c) 1\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 3007*l**8\/336 + l**5\/30 + 13*l**4\/6 - 2658*l**2. What is the third derivative of y(s) wrt s?\nAnswer: 180420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u - 3*u. Let q be 4\/u*(-5)\/(-2). Let k(h) = -h + q*h + h. Let y(f) = -f**2. Determine k(y(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2181915 divided by 216?\nAnswer: -242435\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -3827?\nAnswer: -7\/3827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 12440*x + 207. Is 21 a factor of u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0032731 to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*w + 17*w - 12*w)*(-5 + 3 + 1)*(-36 - 110 + 53 - 137) to u + f*w and give f.\nAnswer: 5750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21120000 - 2?\nAnswer: -21120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12*(-9)\/(-2). Let s = 48 + -46. Let p = -5 + 5.1. Which is the nearest to p? (a) l (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*j - 403*j + 2*h = 9, 0 = -3*h + 15. Let x(d) = -2*d**2 - 14. Let w(q) = 1. Give j*x(k) + 2*w(k).\nAnswer: 2*k**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*x**2 - 1 + 8014*x**4 + 8027*x**4 - 15992*x**4 as l*x**4 + s*x**2 + y*x**3 + g*x + b and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-8) - 5\/(-1)*(-15 - -16). Which is the nearest to -3? (a) m (b) 7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-417 - 72*f - 493*f + 415)*(-f**3 + 0*f**3 + 0*f**3).\nAnswer: 565*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*s + 2 - 9*s**4 - 1436640*s**2 - 2*s**3 + 0*s**3 + 1436639*s**2 in the form q*s**3 + l + h*s + y*s**4 + z*s**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96530888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 32\/3. Let h = 98.876 - -0.124. Let r = -101 + h. What is the second smallest value in z, 25, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 13. Calculate the common denominator of m\/(-24)*1*-50 and 41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 3*c + 1368, 476 = q + 4*c. Suppose q = -14*h + 19*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + 4*x - 6*x - x + 0 + 0 + (0 + 0 + 2)*(-3 + 2*x + 3) + 2039 - 1010 - 739*x - 1034.\nAnswer: -735*x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -557423 and -4.\nAnswer: 2229692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 676457829 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 15*j + 20. Let d be b(-16). Suppose d*k - 4*m + 5*m = -1, -2*k - 1 = m. Which is smaller: 2\/255 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3159800 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let p(w) = -w**3 + 2*w**3 - 3*w**o - 5*w. Let f(k) = 4*k**3 + 9*k. Give 3*f(h) + 5*p(h).\nAnswer: 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 16 (c) 0 (d) 291 (e) 9132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 42 = -42. Let i = 30 + y. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + z = -2722, -5*z - 349 = 3*f - 1999. What is the greatest common divisor of f and 872?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4099 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316920?\nAnswer: 2, 3, 5, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h**3 - 47*h**2 + 148*h**3 + 192*h**2.\nAnswer: 97*h**3 + 145*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2736) - -3*sqrt(2736))**2 + -2 + (5 + sqrt(475))**2.\nAnswer: 50*sqrt(19) + 44274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + (-2294)\/(-78))*-18. Let w = -458 - n. Let y(i) = i**3 + i**2 + 3*i + 2. Find the common denominator of y(-2) and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Suppose -20 = -h*l + 2*l + 3*d, 0 = 2*l - 2*d - 28. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1450)\/290)\/(175\/15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 20\/(-6). Let m(u) be the second derivative of u**4\/12 - u**3\/3 - 3*u**2\/2 + 239*u. Calculate m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 10*u**3\/3 + u**2\/2 - 123*u + 120. Find the first derivative of k(v) wrt v.\nAnswer: 20*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. What is the tens digit of l - (-3 - (-3 + 17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2. Let q = -121 + 969\/8. Let y(d) be the third derivative of 2*d**2 + q*d**4 + 0*d + 0*d**3 + 0. Determine y(v(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -329*l**3\/5 + 319*l**2\/5 + 3958*l\/5 + 24 = 0.\nAnswer: -3, -10\/329, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6702974 and 0.2.\nAnswer: 0.8702974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97875, 391461, 880757, 1565763, 2446479, 3522905, 4795041?\nAnswer: 6262887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50535644 - -2.\nAnswer: -50535642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26972 + -0.0578193?\nAnswer: -26972.0578193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31 and -0.3?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Let j(x) = -9820*x - 29462. Let r be j(-3). Sort 7, r, 0, z.\nAnswer: z, r, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {y: 2, c: 2, m: 1, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -44*f + 24*f - 4*f**2 - 3 + 23*f + 11 - f**3. Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 121*i**2 + 295*i + 6600. Determine o(-119).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 5*b + 10. Let d be n(6). Solve -2*s + 4 + 8 = 5*v, -3*s = 2*v + d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1381421 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1238a9 + -305?\nAnswer: 1235a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 1023*s**3 - 494*s**3 - 253*s - 530*s**3.\nAnswer: -s**3 - 253*s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + d**3 - 3*d**3 + (d**2 - 3 + 3)*(1 - 2*d - 1) + d**3 + 6*d**3 - 3*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 177 + 16. Let y = a - 197. Put 5, 0, y in increasing order.\nAnswer: y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-126))\/(((-12)\/(-30))\/((-7)\/4))\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 6*w + 6. Let m = w - -8. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42651 and 668199.\nAnswer: 2004597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.008 (b) 4 (c) -0.4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*g**4*x - 8945*g**4 - g**2 - 75*g*x - 749*g wrt g?\nAnswer: 528*g*x - 214680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 2. Let j be d(-2). Let w be j*1 + 6 + -2. Let a = w + -6. Solve a = 6*h - 4*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.01 - 1.61. Is -5 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 172*i + 5504. Calculate m(-59).\nAnswer: -1163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*m**2)*(2*m**2 - m**2 - 2*m**2) - 61917*m**2 - 507*m**4 + 61917*m**2.\nAnswer: -511*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/199568 and -2\/623.\nAnswer: 124330864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 0, -20, -2 in increasing order.\nAnswer: -88, -20, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -771*n**2 - 1. Let d(q) = 10*q**2 + 4*q. Give d(h(c)).\nAnswer: 5944410*c**4 + 12336*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-1)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10397 is divided by 4643?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p + 3*l, 0 = -0*p + 2*p - 5*l - 4. Suppose t + 4*o = 421, -p*o + 4 + 0 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 4 - 4 - 2 + (-2 - 3 + 11)*(51 - 51 - 9*c) + 2*c + c - c to the form l + z*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(((-24)\/(-15))\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/6)*s\/s**11)\/(s**(-2\/35)\/s*s**(-3)) assuming s is positive.\nAnswer: s**(-1073\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j + 123 = -1360 + 77 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -6543*w**4\/2 - 10280*w - 4756. Differentiate z(p) with respect to p.\nAnswer: -39258*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 y, and 1 e when four letters picked without replacement from {h: 8, e: 4, s: 2, y: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18956 - -18907. Which is the smallest value? (a) z (b) -1\/6 (c) -26 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3001*t**3 - 1507*t**3 - 1497*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2332323123 + -3320?\nAnswer: -2332333103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 1. Let p(t) = -2*t - 11. Let z(u) = u + 12. Let v(s) = -4*p(s) - 5*z(s). Let y be v(3). Determine h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x. Let v(o) = -1354*o**2. Calculate u(v(a)).\nAnswer: 2708*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2. Let w(x) = 5*x**2 - 1. Suppose 27 = 5*j + 2*l, -21*j + 20*j + l - 3 = 0. Determine j*w(q) - 2*g(q).\nAnswer: 5*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*q, -k + 3*k - 4*q - 22 = 0. Suppose -2*u + 4*l = -364, 6*u - k*l = u + 915. Is 9 a factor of (-2)\/3 - u\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwu when three letters picked without replacement from {w: 3, u: 2, c: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1 + sqrt(700))**2*-4 + sqrt(700)*-1*5 + ((sqrt(252)*1 - sqrt(7)) + -4)**2 + 2.\nAnswer: -11007 - 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-5)*o*o*o*o**(-1\/4))**(-43))**(3\/19))**2 assuming o is positive.\nAnswer: o**(1161\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 289 + 94*r - 289 + (0 + 3 - 4)*(5*r - 3*r - r).\nAnswer: 93*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmxmmzxvmz. Give prob of picking 1 m and 2 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7654 and 35.\nAnswer: 267890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14602 is divided by 206?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - x - 4, 9 + 5 = k + 4*x. Let o be (-2)\/(-3)*(-18)\/k. Let h = o - 4. Solve -3*f - h*u - 17 = 0, -u - 2 = 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 348 + 3450*a**2 + 351 - 696 - 4*a. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 439323150 by -87864630.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 231*n - 187. Determine u(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1336 (base 9) to base 10\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/12 and 23\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**3 + 496419*q + 68 - 496419*q - 2*q**3.\nAnswer: 15*q**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*s + 540 = -479 + 155. Solve -2*x + s*o - 6 = 6*o, 3*x + 9 = 5*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 divided by 24074?\nAnswer: -227\/24074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 + -274573894882.\nAnswer: -274573895063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 4:27 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 8. Let v be (-16 - -1)*100\/500. Let h = -9.938 + 10. What is the closest to 2\/7 in g, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5218 + 5218 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 163*d**2 + 58*d + 181. Let o(u) = 102*u**2 + 38*u + 121. Calculate 5*f(b) - 8*o(b).\nAnswer: -b**2 - 14*b - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 0 - 7 + 0*l + 2*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, b: 3}. What is prob of picking 2 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503800 = 90*l - 2*l. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(1\/4))))\/q)**18*((q\/q**(-2\/11))\/q)**8 assuming q is positive.\nAnswer: q**(131\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(242) + (-2 + sqrt(242))**2 - (-3 + sqrt(242)*-2 - sqrt(242) - sqrt(242))) + -5.\nAnswer: 11*sqrt(2) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3301 (base 12) to base 2\nAnswer: -1010111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 2*r + 1. Let q(x) = -3*x**2 - 92*x + 3. Calculate -2*o(b) - q(b).\nAnswer: b**2 + 88*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 6*v**2 + 7*v + 5. Let s be z(-7). Suppose -3*i = -5*g + 52, 5*g = -s*i - 17 - 3. Is -3*3\/i - -52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7, -1\/29, 3?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + 67*l**2 - 392*l - 447. Calculate z(-27).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7)*r*r**8)\/(r**5\/(r*r**(-7)\/r)))**16 assuming r is positive.\nAnswer: r**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**3*u**2 - 3*n**3*u + 50170*n**2*u**2 - 41*n**2*u - 13*n*u**2 + 572*n*u - 25*u wrt u?\nAnswer: 8*n**3 + 100340*n**2 - 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -28.8. Which is smaller: 1\/9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*q = -78*q - 420. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17081702879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44\/1447 in -0.2, 5, -0.04, 15?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j - 6. Let p(u) = -12*u - 8. Let f(t) = -2*p(t) + 3*x(t). Let z(d) = -d**2. Calculate z(f(m)).\nAnswer: -9*m**2 - 12*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 6*k**2 - 7. Suppose 2*n - 17 = -5. Let r be x(n). Is -7 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 153264204?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.22 + -3.6. Let a = -0.78 + y. What is a rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 12. Let j be s(-2). Suppose -j*h = 5*h - 19523. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/14 + 6)*2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07767? (a) 0.1 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36072*r**3*w**2 - 3*r + 883*w**2 - 15*w wrt r?\nAnswer: 108216*r**2*w**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 892*y = -1092*y - 37240 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 12*s + 940 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**7\/210 + y**5\/50 - y**3\/30 - 16*y. Solve u(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -92861632539.\nAnswer: -92861632529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -998, -1009, -1042, -1109, -1222, -1393?\n\"Answer: -2*t**3 + t**2 - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3273 (base 8) to base 12.\nAnswer: bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 2, y: 1, c: 1, h: 1, u: 1}. Give prob of picking 1 r and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4. Let x = 0.7 - 1.8. Let c = -5.1 - x. What is the closest to -2\/3 in 0.2, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935604053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-7) + (-91)\/(-49). Solve -4*z - 14 = d*b, 0 = 2*z - 7*z + 4*b - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 4. Suppose 5*u - 3*i = -2, 3*i - o*i + 2 = -3*u. Find the third derivative of 3 + 3*p**2 + p**6 - 3 - u*p**2 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -169, -238, -305, -376?\n\"Answer: -c**3 + 10*c**2 - 100*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.19 + 3.06. Let s = 0.25 - j. Let w = 39.1 + s. Which is the nearest to w? (a) 10 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -15*t + 4*t + 822719. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5538 and 468.\nAnswer: 33228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18426 divided by -5\nAnswer: -18426\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222\/5 + -893\/20. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -29, 3\/2, -8.65, -279?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Suppose -5*d = 4*v, 5*d - 6*v + 3*v = n. Which is the third smallest value? (a) d (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 354*i - 5656. Determine v(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72731 is divided by 18182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-177)\/8)\/(207\/1380)*6\/45*-3.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 448*v\/5 + 8888\/5.\nAnswer: 2*(v + 22)*(v + 202)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i + 42. What are the prime factors of m(18)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8480.814 tonnes?\nAnswer: 8480814000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 7776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21004 and 472.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 - 4*j + 4*j + (2*j + 3*j - 3*j)*(0*j + 0*j + j) + (-17 - 17 + 24)*(-2*j**2 - 3*j**2 + 6*j**2) + 2*j**2 + 2*j**2 - 3*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, v: 9, e: 3, j: 2}. Give prob of sequence jr.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 580*a - 2 + 3 + 4.\nAnswer: 580*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22267)\/(-42) - -10 - 2\/12.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -18)\/((-675)\/(-150)) + -2*2.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -13*n + 54. Let l be -1*(5 + (n - 7) + 2). Let w(c) = -2*c + c - c. What is w(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.4 + 13. Let x = 4 - 3. Which is the third smallest value? (a) x (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17643.63079 + 17643. Let y = 3.28 - 3.91. Let p = a - y. What is p rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**3 + 1 + 20*c**2 - 20*c**2.\nAnswer: -9*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 467702.1 from -286738.\nAnswer: -754440.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-22 - -55) + -23 + 15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6141367 minus 0.5?\nAnswer: -2.1141367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-21))\/((-198)\/(-231))*(-9)\/(-95).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:51 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 590581 - 171*t**2 - 590584 + 6*t + 271*t**2 + 186*t**2 to z*t**2 + a*t + i and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 3*i + 3*i)*(-185*i**3 - 197*i**3 + 395*i**3 - 96) to the form w*i**4 + f*i**2 + m + b*i**3 + t*i and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*j = 2371, -1871 - 1252 = -4*v + 5*j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -371622 (base 8) to base 5.\nAnswer: -13043030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12133 = -3*t, 15*r - 18*r - 5*t = -36413. List the prime factors of r.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -46. Let b = -49 + z. Let x = 8.999925 + b. What is x rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 243 = -51 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 330513\/23 equal to 14371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 157560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 16*o**2 + 338 - 115 - 157.\nAnswer: 16*o**2 - o + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let n(p) be the second derivative of 2*p**4 - p**3\/3 - p**2 - 592*p - 8. Determine k(n(s)).\nAnswer: -48*s**2 + 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpblpb. Give prob of sequence ll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 130? (a) -3\/16 (b) -10 (c) 0.3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7505647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**5 + 1120*d**4 - d - 16081 wrt d?\nAnswer: -120*d**3 + 13440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-100)\/(-15)*(-9)\/(-12). Solve v + 25 = -n*x, -v + 6 = x + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/983 (b) -2\/7 (c) 30 (d) -5 (e) -4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2057) + -2 + sqrt(2057) + -2)*-2 - (2*sqrt(2057) + 4 + 0))**2.\nAnswer: -528*sqrt(17) + 74066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3007860052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 33. Let z(a) = a - 16. Let l(n) = 3*o(n) + 5*z(n). Let m be l(17). What are the prime factors of (168\/m)\/((-4)\/14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/105*(25\/2 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 83 + -42 - 32 - -4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4099, -8203, -12309, -16417, -20527, -24639?\n\"Answer: -k**2 - 4101*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -158*v**2 + v + 42. Let c(a) = 471*a**2 - 3*a - 124. Give 2*c(r) + 7*m(r).\nAnswer: -164*r**2 + r + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.043 in 3, -4, -315.506, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 55*x + 54*x + 14, 4*l - 8 = -4*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 12. Let p = d + 7. What is the second biggest value in 5, -6\/7, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - y = -41097, 2*y + 2*y + 123312 = -3*w. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10945.95 centimeters to millimeters.\nAnswer: 109459.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 23*i**3 + 4*i + 3. Let m be d(-1). Let p = m - -36. Calculate the remainder when 34 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*a - 2, 63*q + 7*a - 350 = 5*q + 5*a for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*c - 3*s + 27, 0 = -61118*s + 61113*s + 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58592 and 61525262?\nAnswer: 3662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 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: Suppose -95 - 606 = -2*l + 5*d, -3*l + 5*d = -1064. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 + 9*v + 3. Let z(y) = -y**3 + 7*y**2 - 10*y - 2. Let f(h) = -4*x(h) - 3*z(h). Suppose 27*u - 37*u = -60. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100001000 - -1?\nAnswer: 1100100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/5 + 67*z**4\/5 + 99*z**3 + 277*z**2 + 1664*z\/5 + 708\/5 = 0.\nAnswer: -59, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.73 - -32. Let h = y + -3.47. What is h rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-55)\/198)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-98) - 2*7\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3326 - 474. Calculate the highest common divisor of q and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531853, -1063736, -1595617, -2127496?\nAnswer: -2659373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 2\/3*j**3 + 1\/2*j**4 + 3 + 0*j**2 + 0*j. Let i(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -351, -348?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/3? (a) -70 (b) -0.1 (c) -5 (d) 0.05 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -3*c + 5*z, c - 11 = z + 9. Suppose 13*o - 4*o = c. Is ((-995)\/2 + o)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = 400. Let w = 21 + -19. Let z be w - -40 - 4\/2. Calculate the greatest common divisor of j and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655*s - 16034 = -40925 - 14829 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q + 36. Determine x(-14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 60 + 8. Suppose q = -5*p + 245, 218 = 3*p - 3*q + 53. Let g = p + w. Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11963*d = 12178*d - 9030 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:11 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/4*8\/(-10). Let t(c) = -c**2 - 6*c + 4. Let y be t(-6). What is the greatest common divisor of y and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1633 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 15 = -3*y. Let f(m) = -4*m + 11*m**2 + 3*m + y*m**2 - 1. List the prime factors of f(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594124480 rounded to the nearest one million?\nAnswer: 594000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 100*u**2 - 8*u. Let g(n) = -101*n**2 + 10*n. Determine -4*g(r) - 5*x(r).\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/(-1))\/1 - -2. Let p be v\/14*(-2)\/(-3). What is the units digit of (-4)\/((-18)\/16 + p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7954721 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 19 - 161. Let b be (-14)\/(-21) + 249\/(-9). Let o be 10\/n - 1518\/b. Calculate the greatest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120554191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(4*z - 4*z + 2*z)*(-2 + 1 + 5).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*d**3 - 7*d**5 + 10*d**5 - 4*d**5 + (-4*d + 3*d - d)*(-2 + 2*d**4 + 2) + d**5 + 1 - 1.\nAnswer: -4*d**5 + 37*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.17. Let i = d + 0.38. Let t be ((-21)\/(-30) + -1)*4\/(-3). Which is the closest to i? (a) t (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -58. Determine w, given that 0*w + 0*w**2 - 1\/2*w**3 + 1\/2*w**h + 0 + 0*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722087 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2926588*n**3 + 397892?\nAnswer: 8779764*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 4 = -5*y - 4*j, 0 = y + j - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(27\/45 + (-26)\/10). Which is the third smallest value? (a) -2 (b) k (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 40*d**2 + 24*d + 59. Let n(o) = -53*o**2 - 26*o - 59. Let y(w) = -4*m(w) - 3*n(w). Calculate y(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, -2, -16, -38?\n\"Answer: -4*n**2 + 6*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 526441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 5*x**2 - 6*x - 8. Let q be 28\/12*3 - -1. Let o be 10 - q - 1*-4. Calculate i(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2 + 7)*((1 + 1 - 4)*(-3 + 3 + 2) - 3 - 1 + 3)*(5 - 4 + 0)*(16 + 3*v - 16)*(-3 - 4 + 2) + 2 - 2 + 2*v.\nAnswer: -298*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -323 - -617. Let q = -291 + i. Sort -1, -4, 0, q in ascending order.\nAnswer: -4, -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b*b*b)**30*b*b**2*b*b**12*b assuming b is positive.\nAnswer: b**(-103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2. Let f(r) = 22*r**2 + 4*r - 2. Let n(y) = y**2 + 2*y - 1. Let t(s) = f(s) - 2*n(s). What is t(p(w))?\nAnswer: 80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993 is divided by 103?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q**6\/q)\/q)*q\/q**(14\/5) assuming q is positive.\nAnswer: q**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(i + 2*i - 6*i)*(-2 + 40*i**2 + 636*i**3 - 31*i**2 - 654*i**3) to the form v + d*i + f*i**2 + m*i**4 + z*i**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4312 and 704.\nAnswer: 34496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - -5 - (1 + -2 + 1). Let o be (-2 + 4)*(0 + (0 - c)). Solve 5*r - o - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**14*q*q)\/q)\/q*q**(1\/59))**(-1) assuming q is positive.\nAnswer: q**(-827\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3573*q + 3827*q + 104*q + 2 - 2 to the form o*q + n and give o.\nAnswer: 7504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/3)\/(1 - 2480\/2472)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 3*a, -3*r = -r + 4*a - 32. Let v = -19 + 22. Solve 0 = -v*z - 1 - r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -47. What is the common denominator of -61\/15 and (-204)\/y*2\/(-8)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. What is the nearest to 1 in t, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*g**3 + 61 + 28 - 9*g**3 + 2*g wrt g.\nAnswer: 69*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}