diff --git "a/data/dm_maths/full_data/1887_11255.jsonl" "b/data/dm_maths/full_data/1887_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1887_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the common denominator of 29\/18 and 31\/3609.\nAnswer: 7218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 + -615\/2. Factor h*d**2 - 9\/2*d + 9\/2*d**3 + 3\/2*d**4 - 3.\nAnswer: 3*(d - 1)*(d + 1)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 15*c**2 - 46*c - 459. Calculate q(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 - 2*w**3\/7 - 16*w**2\/7 + 24*w\/7.\nAnswer: 2*w*(w - 2)**2*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77107 or -45594?\nAnswer: -45594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z + 1. Let t be l(-1). Let h(o) = 4 - 7*o - 9*o + o**2 + t*o + 2. Let n be h(6). Solve 5*i = i - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 19*z + 1547. What is the lowest common multiple of l(-69) and 96?\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156379957 to the power of 1\/2, to the nearest integer?\nAnswer: 12505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-102)\/(-36))\/17*147666 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66374.1 months to centuries.\nAnswer: 55.31175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 9*p**2 + 7*p - 12. Let m be j(-4). Let g = m - 42. Let o = -4\/15 + -2\/5. Which is the closest to o? (a) -3\/2 (b) 0.7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 10*o**2 + 2*o - 24. Let l be m(10). Let v be l\/6 + (4\/(-12) - -3). Sort v, 5, -3, 0 in descending order.\nAnswer: 5, v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 216, -1\/7, -1\/4 in increasing order.\nAnswer: -5, -1\/4, -1\/7, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025879 to the power of 1\/2, to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -91 + -2 - (-10 - -6). Let t = s + 91. Put t, -3, 40 in descending order.\nAnswer: 40, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*a - 27, -9 = -a - 0*n - 4*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 18 + 12 = 2*i, 4*i + 3*g + 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2*-4)**2*-1.\nAnswer: -45056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - 195\/(8775\/(-3420)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - -0.1. Suppose 0 = -v + g + 3, -5*v + 3*g = -6*v + 7. Suppose -v*m = 4*c, 6 + 4 = c + 3*m. Put w, c, -1 in increasing order.\nAnswer: c, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -7, -2\/7, 3, -39\/37.\nAnswer: -7, -5, -39\/37, -2\/7, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4*(-10)\/(-75)*-3. Put 9, 4, 0, j in increasing order.\nAnswer: 0, j, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 2. Let z = 7 + -3. What is j(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 133678.8, 7 in decreasing order.\nAnswer: 133678.8, 7, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564868300 to the power of 1\/3, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)*h**(-11)\/h*h)\/((h*h**1*h*h)\/h*h**(2\/21)))**(10\/13) assuming h is positive.\nAnswer: h**(-3800\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.13 plus 2064?\nAnswer: 2062.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1413*t + 393 - 918 + 14*t**2 + 525 to the form w + m*t**2 + s*t and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4639*a - 15795. What is i(3)?\nAnswer: -1878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98723096?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245 - 9*w + 3*w - 4*w**3 + 235 - 487 to h*w + j*w**2 + p + r*w**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*k - 5*r + 6, -k - 10 = 4*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-48)*(7 - 6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/55 (c) -21 (d) -2\/27 (e) -2 (f) -6\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2 and 83\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 657415388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 - 10*a**2 + 0*a**2)*(48*a**2 - 219*a**2 - 77*a**2)*(0*a + a - 3*a).\nAnswer: -7936*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1 + 5 + (sqrt(99) + 0)*-6 - (sqrt(11) + -1 + sqrt(176) + 0 + sqrt(11)*2 + sqrt(11) + -3))**2.\nAnswer: -414*sqrt(11) + 5900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4 + 272*a**3 - 2906*a**2 + 9160*a - 6525 = 0.\nAnswer: 1, 5, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*k - 30, 4*y - 1 + 39 = 3*k. Suppose -351 = -5*l + u, -16*l + 2*u + 134 = -k*l. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17413 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30*22\/(-12)*320\/(-440)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71908465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, e: 10, v: 4, t: 1, y: 2}. What is prob of picking 1 e, 1 j, 1 t, and 1 y?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -192 in 0.1, 28, -3, 212, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 127 - 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 619\/2, -0.25, 18, 0.2, 11?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**7\/5040 + i**5\/240 - i**4\/8 + 3*i**2. Let w(h) be the second derivative of m(h). Factor w(c).\nAnswer: -(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 60 - 8. Suppose 0 = 4*f + g - 106. Is f < 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = i + 30, -3*k - 9*i + 40 = -8*i for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4052 * 9.4449.\nAnswer: -38270.7348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57347 is divided by 253.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 431.18? (a) 2\/11 (b) 0.16 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*g = -10*g + 21328. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 10:02 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -391.6753 + -0.2147. What is a rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38.3 + 39.99. Let g = -0.31 - o. Let m = -33 - -37. Which is the closest to m? (a) -1\/4 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*(-9)\/6. Let p be h*(3 + -5 + 2). Solve p = -0*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -p + 2*p - 67, -3*p = -j - 215. Suppose 2*m - 3*w - p = 0, 2*w - 59 = -2*m + 13. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1343981086 divided by -1\nAnswer: -1343981086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -926*c - 88657*c**4 + 11567*c**6 - 3*c**2 + 88657*c**4 - 2104*c**6 wrt c.\nAnswer: 1135560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.733471 + -10.6765. Round n to 3 dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355166.\nAnswer: 2, 7, 23, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4690116 to 1 dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 40. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54484.0019 + 54478. Let o = 6 + m. Round o to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 17*l**2 - 22*l - 19. Let i be z(-16). Let r = -74 + i. Solve -2*k + r = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91)*1*-3 + sqrt(91) - sqrt(91)))\/(sqrt(7) - sqrt(28)*3).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/6*(-22)\/396*-36.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 1. Let a be y(5). Let u = 0 - a. Let w be ((2 - u)*-1)\/5. Sort 3, w, -1 in decreasing order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5020 and 31060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40050 + 1 - (228\/30 + 76\/190) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 972458, 1944914, 2917370, 3889826?\n\"Answer: 972456*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(-10)*d)\/d*d))**(-20)*d\/(d*(d*d\/(d**31\/d)*d)\/d*d)*d**(6\/13) assuming d is positive.\nAnswer: d**(3217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 + 13*t + 30. Let l(a) = -4*a**2 - 7*a - 15. Let n(i) = 3*h(i) + 5*l(i). Let x be n(13). Let m = x - 64. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*j = -j - 4, -j + 4 = -4*n. Suppose n = 4*h - 18 - 34. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-90) + (3 - 266\/(-18)). Solve 0 = -2*p + 5*p - z - 6, z - q = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203475 and 750.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b - 6*b - b. Let o(y) = 10*y**2. Give z(o(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 963 - -179. List the prime factors of f.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 1 + 2 + (869 - 889)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -95258 divided by -128\nAnswer: 47629\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 230*s**4 - 1 + 102*s**4 - 2*s + 5 to r + n*s**4 + w*s + q*s**3 + a*s**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 60*o**2 - 112*o - 676. What is the hundreds digit of q(63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125685, -125603, -125521, -125439, -125357, -125275?\nAnswer: -125193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(76) + sqrt(76) - -5*-2*sqrt(76))*-1)\/(((sqrt(576) - (sqrt(576) + sqrt(576)*-2 + sqrt(576))) + (sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(6))*5).\nAnswer: 17*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.5618531 rounded to 1 decimal place?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.95 - 0.05. Let f = 40 - 36. Let h be f + (95\/20)\/(-1). Which is the third biggest value? (a) 0 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 28, 98, 238, 472?\n\"Answer: 4*o**3 - o**2 - o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7782.893 grams in nanograms?\nAnswer: 7782893000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 18*a**2 + 2*a. Let v(x) = -x**3 - 10*x**2 - 4*x + 21. Let c be v(-3). Let p(b) = 125*b**2 + 15*b. What is c*q(g) + 4*p(g)?\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.6 - -0.6. Let s = 0.3 - 0.2. Let v(w) = -w**3 + 7*w**2 - 6*w + 1. Let u be v(6). Put u, j, s in decreasing order.\nAnswer: u, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12284625 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 4) in base 13?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -9*x + 12*x. Let w(j) = -7*j + 2*j**x - 6*j**2 - 4 - 2*j - 3*j**3 + 3*j. Let i be w(-5). Which is greater: i or -2\/33?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f + 43*f = 5*g + 25, -2*g = 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-2 - -3))*1. Suppose t*g + 24 = -2*g. Let c be 3*(g\/(-9) + 1). Solve -c*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-8)\/6)\/(-2). Let i be 5\/(3 - (-1 + 3)). Suppose -i*c = -0*c - 10. Solve -2*z + c = -5*b - 5*z, -u*b + 8 = -z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5045 + -131021?\nAnswer: -140110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -25, -0.5, 0.03, -1\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 13. Let m(p) = 2*p**2 - 6*p - 8. Let q be m(4). Suppose q*o = 2*k + o + 3, 0 = 3*k + 5*o - 6. Sort k, -6, l in descending order.\nAnswer: l, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537704.7ng in milligrams?\nAnswer: 0.5377047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 3) to base 8.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 5*l**2 + 5*l + (5 + 0 - 1)*(-2 + 1 + 0)*(-22*l**2 + 2*l**2 - 34*l**2) in the form y*l**2 + t + p*l and give y.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g + g + (-2*g + g + 4*g)*(-5 + 2 + 1) - g - 3 + 3.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 77, 89, 95, 89, 65, 17, -61?\n\"Answer: -w**3 + 6*w**2 + w + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-3)\/(-1)))\/((-9)\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*sqrt(4)\/sqrt(2) - ((sqrt(30)\/sqrt(3))\/sqrt(5) - (sqrt(2) - (sqrt(2) - (sqrt(18) + 2)))) - (sqrt(18)\/(sqrt(27)\/sqrt(3)*2) - -1*(sqrt(200) + 1)).\nAnswer: -9*sqrt(2)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*(855*q**2 + 55 + 4*q - 2*q - 845*q**2).\nAnswer: -40*q**2 - 8*q - 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8 + 0 + 2. What is the second smallest value in d, -0.4, 0.7, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 21, -19 in increasing order.\nAnswer: -19, 21, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003052413 to seven decimal places.\nAnswer: 0.0003052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -426*b**2 - 214*b - 174*b**2 + 67*b**2 wrt b.\nAnswer: -1066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-24))\/(399\/304). What is the closest to u in -2, 4, -28, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/((-2)\/4). Let x be 60\/52 + (-10)\/65. Let s be (4\/6)\/((-121)\/99 + x). Sort 2, n, s in increasing order.\nAnswer: s, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -25 + 3953*m + 40 + 6250*m. Let l be g(-5). Round l to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 241.3662cm?\nAnswer: 2413662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 times 6\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-50650.7.\nAnswer: -50650.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*m + 11, -3*u - 4*m + 17 = -9*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1105866 divided by -2.\nAnswer: 552933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5916036.74 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1029.9 + -1139. Let b = 102 + g. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*k - 146*k + 100*k in the form q + o*k and give o.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 7}. What is prob of picking 2 y and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 23 + 4*w - 4*w**3 - 23 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.489692668428 - -6.\nAnswer: 0.510307331572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - j + 0)*(-j + 0 + 0 - j - j + 3*j + (1 + 1 + 0)*(-2*j - j + 2*j)) - 1 + 1 - j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 3122*l + 24912. What is d(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73984, 146787, 219604, 292435?\n\"Answer: 7*u**2 + 72782*u + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 51 = n, -42*n = -4*h - 38*n + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 124, 353, 674?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2496 + 13376 = 31*g. Let j be -6 + g\/84 + 166\/21. What is the highest common divisor of 128 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7*j - 7. Let c be o(5). Suppose -c*t + 6 = 24. Let k = t + 13. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*y - 118, -4*s - 96 = -3436*y + 3438*y for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*a - 9, -4*a - a - 45 = 5*n. Let o be 42\/n*80\/(-12). Suppose o = 16*y - 14*y. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31882 is divided by 7967.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.95 + 0.05. Let g = 1403 - 1402.8. What is the nearest to o in -0.2, 5\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139964802 divided by -2?\nAnswer: -69982401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 221. Let r(c) = -21*c. Determine x(r(v)).\nAnswer: -21*v - 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 e when three letters picked without replacement from mmmemfkllwml.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015006 rounded to 5 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003369359 rounded to four dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/3, -1, -157?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -60.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k**4 - 773*k**2 + 117615?\nAnswer: -24*k**3 - 1546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*p**4 + 16*p**4 - 10*p**5 + 2 - 36*p**4 + 2*p - p**5 - p**5 + p**5 + (-2 - 2 + 2)*(p**5 - 3*p**5 + 4*p**5) - 3*p**5 + 2*p**5 + 3*p**5.\nAnswer: -13*p**5 + 2*p**4 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0\/(5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/529 and -39\/11.\nAnswer: 5819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2 - 2*j + 2. Let c be p(3). Let w(i) = -2*i**2 + 7*i - 1. Determine w(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a2 - -1?\nAnswer: 4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200112001 - -11?\nAnswer: 2200112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 43 - 323 = 0. Let u(p) = 105*p + 755. What is the remainder when m is divided by u(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 - 200. Which is the closest to 2? (a) -2\/7 (b) r (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:46 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 584195116 and 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82571 is divided by 41281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347164 a multiple of 633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/62, -29, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.81\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 6*b. Let p be l(6). Let v(u) = 2*u**2 + 81. Is 12 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-25))\/(-1) - 19\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h - 4*h + 0*h)*(89 - 47 - 44 - 21*h).\nAnswer: -84*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029051666 to six decimal places.\nAnswer: -0.002905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 233477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*g + g + 7896. Let u(b) = g*b**2 - 129*b**2 - 143*b**2. Let f(q) = 4*q. Determine u(f(r)).\nAnswer: 160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2577929 and 377983.\nAnswer: 4247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4\/4 + 3307*b**3\/8 + 14353*b**2\/8 + 2176*b + 1005\/2 = 0.\nAnswer: -2, -3\/10, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-21) + (-18)\/(-7). Suppose 2*p + 2*z = z + 359, -895 = -5*p - 2*z. Suppose p = -c*g + 6*g. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 346 = -167*l, -625*p + 626*p + 14 = 5*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 437207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 + 228 + 123*h - 245*h + 124*h to j*h + x and give x.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3228528 or 6457057\/2?\nAnswer: 3228528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, -1488, -4 in decreasing order.\nAnswer: 17, 3, -4, -1488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d + 2. Let a(m) = 77*m + 161. Give p(a(y)).\nAnswer: -231*y - 481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/39 - (1 + -2)*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 - 309\/(-15) - 9. Which is the biggest value? (a) 1.05 (b) 5\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -218*c**3 - 109 + 166*c**3 + 106*c**3 wrt c.\nAnswer: 162*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 3*i - 2*i)*(-6 + 2 + 3 + (-66 + 21 - 27)*(-1 - 1 + 1) + 0 + 3 - 2 + (2 - 1 - 4)*(-1 + 2 + 1)) as j + c*i and give c.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 909065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 66 + 43 = -78*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5688 (base 12) to base 5.\nAnswer: -301413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019 < 5019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 7*g. Solve g = 3*b + 1 + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q - 9*q)*((-3 + 6 + 0)*(5 + 0 + 1) + 1 - 4 + 4).\nAnswer: -228*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*x + 3)*(-3*x + 2*x + 2*x**3 + 0*x) + x**3 - x**3 + 25*x**4.\nAnswer: 21*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299*b*l**3 - 9*b*l**2*s - 86*l**3*s - 6*l**3 wrt s.\nAnswer: -9*b*l**2 - 86*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:26 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 - 4*a**2 + 8*a + 12. Let g(z) = 2*z**3 - 2*z**2 + 5*z + 6. What is 5*g(d) - 3*q(d)?\nAnswer: -2*d**3 + 2*d**2 + d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14)*1)\/(((-134714)\/(-7329))\/(-386)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139690 is divided by 5637.\nAnswer: 4402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -98*u + 152. Give c(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/14632 and -47\/93?\nAnswer: 43896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130872 by 43624.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -763.9091 and 0.085.\nAnswer: -763.8241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000029235 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 168. What is the units digit of (i\/15 + -3)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 9:47 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/56 and -30\/959.\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9468 + 0.9748. Let j = -1.1 + 0.1. Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(0 - (-1)\/(-3)) - 28. Let y = -146 - -216. Let t = y + w. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/35 + 489\/15. Suppose 3*j - m - 270 = 0. List the prime factors of j.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -4*s - 126. Solve 3*x - s*x = 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 0 + 0)*(47 - 368 - 9)*(-2 - r + 0 + 0*r).\nAnswer: -330*r**5 - 660*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 20061.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5472 = -6*d - 10*d. Let l = 157 - d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3824 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101222001010222 - -11?\nAnswer: 101222001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20210210 - -2230?\nAnswer: -20201320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20147.\nAnswer: 20147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 10. Let z(x) = -1 - 2 + 2 + 2. Let b(c) = y(c) + 10*z(c). Let l(t) = -4*t. Give l(b(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -5. Suppose -2*m - 87 = -5*p - 0*m, 0 = -i*p + 3*m + 83. Calculate the remainder when 111 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10812359*z - 6044682 wrt z.\nAnswer: -10812359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 471 + -226. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 7*d**2 - 5*d + 11. Let h be y(-6). Suppose 5*s = 2*n - 21, -h*n + n + s + 15 = 0. Solve 3*p = -6, n*z = 2*z + 2*p + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 80630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -834\/19. Let y = -977 - -11723\/12. Which is the second smallest value? (a) s (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 1 (b) 0 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9 + 8)*(-2*w - 4 + 4).\nAnswer: -50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*p**3 + 104*p**3 - 61*p**3.\nAnswer: 127*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*j = -46, 57 - 1 = 4*y - 4*j. Let o(n) = -12 - n + 18*n**2 + n**3 - y*n**2 - 11*n. What is the remainder when 8 is divided by o(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znf when three letters picked without replacement from {z: 1, n: 1, e: 1, f: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 - -1163?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (580\/725)\/(8\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2521 + -21?\nAnswer: -2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 355 - 306. Let g = -44 + n. Solve 0 = 2*k + g*k - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, -348, -1018, -1956?\nAnswer: -3162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -15*n + 61. Let w = n - 247\/4. Let t = -49\/86 + 3\/43. What is the nearest to 1 in 1, w, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b*r**3 + b*r**2 - 15*b + 1458*r**3 - 3*r wrt b.\nAnswer: -3*r**3 + r**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*j - 81951, 21*y = -4*j + 20*y + 109268. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = 1387*o - 1417*o - 282 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2519 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -665\/2 - -333. Is -7.5 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/459*-3*18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millennium in decades?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 1, b: 3, r: 2, c: 2, q: 1}. Give prob of sequence yx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35313 + -49564. Let z = f - -14102.87. Let l = z - -149. Round l to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 4*o**2 + 5*o**2 + 11*o**3 + o - 2*o. Calculate r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 160 + 38. Let f = p - 45. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + c - 2. Suppose 33 = 5*t + 3. Suppose b = -b - t. Let r be k(b). What is the highest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 7*i = -v - 24, 2*i - 36 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -4. Let j(f) = -3 + 15*f**2 + r + 2 - 16*f + f**3. Is j(-16) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 631236 and 3444?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10110000011?\nAnswer: 10110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/18*42\/(-4). Let y(w) = -12*w**3 - 48*w**2 + 8*w + 34. Let p be y(-4). Solve v*q - p = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13601887 take away -2?\nAnswer: -13601885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21885 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -281, 3, -1, -5123, 4 in decreasing order.\nAnswer: 4, 3, -1, -281, -5123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*18*11\/(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 17. What is the lowest common multiple of f(-2) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 11. Let h(p) = 17*p - 44. Determine -2*h(l) + 9*w(l).\nAnswer: 2*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 less than 63330916?\nAnswer: 63331127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:12 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (3 + -8) - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + 37. Let i = 106.8 - t. Which is the smallest value? (a) 4 (b) -1 (c) i (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 9402224?\nAnswer: 65815568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = d - 3*d + 34, -73 = -5*u + d. Calculate the remainder when 8 is divided by (-15 - 0)*(-5)\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, j: 2, t: 1, d: 2, v: 3, w: 3}. What is prob of sequence vdw?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 44 = 4*q, -q + 0*q + 4*a = -20. Solve 3*v + 9 = q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 0*f)*(0 + 6 - 5) - 3*f + 5 - 5.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250204260 rounded to the nearest 1000000?\nAnswer: 250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -43. Sort q, 5, -0.4, -2\/9.\nAnswer: q, -0.4, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i**3 - 17*i**2 - 20*i + 9. Let g(m) = -8*m**3 + 6*m**2 + 7*m - 3. Suppose -a - 56*t + 53*t = -15, 4*t = 5*a + 58. Determine a*y(d) - 17*g(d).\nAnswer: -2*d**3 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w*w**18\/w))))\/w)\/w)\/w**(-12)*(w**(-5))**(18\/11) assuming w is positive.\nAnswer: w**(-167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011528952 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2. Let w(x) = 4*x**2 - 22. Calculate w(z(u)).\nAnswer: 4*u**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121793933 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + sqrt(720) + sqrt(720) - sqrt(720)) + 3 + (-3 + -2*sqrt(720) + sqrt(720) - sqrt(720)))**2 + -4.\nAnswer: 144*sqrt(5) + 752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 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: Divide 132796 by 6.\nAnswer: 66398\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Are -40\/11 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 3*f - 1785 = 0. Let t = 784 + f. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 243317435039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 1. Suppose -6*n - 20 = -2*n. Determine r(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 120*i - 700.\nAnswer: 4*(i - 35)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - z + 34. Let y be s(-4). Solve 5 = -y*x + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/(-245)*(-10)\/6)\/(5\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78536 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201 - -10?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 3:41 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 367*x**4 + 1781*x**5 + 1249*x**5 - 731*x**4 + 364*x**4 - 1150*x - 3*x**2 wrt x?\nAnswer: 181800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/(-32) + (-6)\/8 - -8. Sort 3, j, 0 in ascending order.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (-7400)\/(-280) - (81\/36)\/(14\/(-520))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 4*r - 22 = -10*u + 4, 0 = r + 136 - 143 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence arrr when four letters picked without replacement from {a: 2, r: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 130*q - 1935. Let t be w(19). Sort 2, 4, t in ascending order.\nAnswer: 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.99784131 to 1 dp.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 43 + 45. Suppose 8 = -2*f, 2*p - f - 158 = -2. Let t = p + -11. Calculate the remainder when t is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 + 10)*-1*211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6542 divided by 4\nAnswer: 3271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ese when three letters picked without replacement from oeeososoosbboobbg?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, r: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -54. Let b = -1 - q. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)\/t**(-1\/5)*(t**(2\/19)*t*t*t)\/t**4 assuming t is positive.\nAnswer: t**(-388\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 8.\nAnswer: 141\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2118410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*b + 6 = 0, -5*f - 24*b + 41*b = 22*b + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3376 - -15303. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - x - 2*x**2 + 5*x**2 + 10*x. Suppose -2*z - z + 4 = r, 3*z - 19 = 2*r. Let p(u) = 3*u**2 + 5*u. Determine r*q(k) + 6*p(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 305987 + 369090. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/4 - 619*b**3 - 765083*b**2\/2 + 766941*b - 1535121\/4.\nAnswer: -(b - 1)**2*(b + 1239)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (2*sqrt(684))**2*-6 - (sqrt(684) - (-2 + (sqrt(684) + 1 + sqrt(684) - sqrt(684) - sqrt(684)))).\nAnswer: -16417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 60 = -a. Let g be (-3)\/(-9) + 20\/a. What is the common denominator of 1*g + (-5)\/(120\/428) and -123\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112434.\nAnswer: 2, 3, 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:15 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 6*m + 7. Let p be b(7). Solve 3*d + x = 13, p*x + 2 = -x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -46ea1?\nAnswer: -46ea5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(2 + 1*sqrt(320)))**2.\nAnswer: 1040*sqrt(5) + 8169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 2*u - 1. Let b be i(6). Solve 3 = 4*k + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.9957g in kilograms?\nAnswer: 0.5839957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let b(o) be the first derivative of o**3\/3 - o**2\/2 - o - 4. Is b(p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927.093 take away -362.70938?\nAnswer: 4289.80238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b. Suppose u + 3*i - 18 = 0, 2*i = -2*u + 4*i + 4. Let z(a) = 3*a**2 - u*a**2 + 3*a**2 + a**2. Calculate n(z(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5*x**3 - 1841*n**3*x**3 + 2*n*x**3 + 2*n*x**2 - 1550*x**3 wrt n?\nAnswer: -20*n**3*x**3 - 11046*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Suppose -5*n + d = 4*l + 7, 0 = -5*n - 5*l - 10. Suppose -3*z + 259 = -n*g, 4*z + z + g - 449 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3636 - -3635.4824. What is v rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.151 + 0.049. Which is the closest to -2\/5? (a) 0.4 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.175 less than -375796?\nAnswer: -375796.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68980392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 + -190. Suppose -c + 2 = 0, -5*h + 0*c + 1060 = g*c. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -3*t - 2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74727428 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 816 + 15*r**3 - 4*r**2 - 375 - 443 - 41*r to the form q + p*r**3 + j*r**2 + o*r and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 455910.\nAnswer: 455910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 6 (c) 0.08 (d) 1\/2 (e) -2069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + c - 3*c)*(5 - 8 - 2)*(12*c**2 - 13*c + 13*c).\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-441)\/(-105))\/((-576)\/(-640)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 3847200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.421 and -62057.\nAnswer: -62056.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1909247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/7 - 21446*q**4\/7 + 107210*q**3\/7 - 107200*q**2\/7 - 107211*q\/7 + 18378 = 0. Calculate q.\nAnswer: -1, 1, 2, 3, 21441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -341 - 3211045?\nAnswer: -3211430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let n(i) = -5*i + 4*i - d*i + 3*i. Let t(r) = 3*r**2. What is t(n(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**4 + 859*w**2 - 33373*w wrt w.\nAnswer: 24*w**2 + 1718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5965 + -5902. What is the greatest common factor of 9891 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7226, 28510, 64012, 113738, 177694, 255886, 348320, 455002?\n\"Answer: t**3 + 7103*t**2 - 32*t + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -10. Let w(a) = a**3 + 5*a**2 + 3*a. Let x be w(y). Find the common denominator of (5\/2*-2*-5)\/x and -25\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537.6348 milligrams to kilograms.\nAnswer: 0.0005376348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2, 20\/9, -2\/47, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1511 and 38933.\nAnswer: 58827763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 222 - 174 = 0. Let k = -95 + p. Sort k, -3\/8, -2 in decreasing order.\nAnswer: k, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6185348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183051878 - 12.9616.\nAnswer: -183051890.9616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - u + 1. Let g(n) = 4*n**2 + 6*n - 7. What is -g(b) - 6*z(b)?\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*t + 4187, -8359 = -2*c + t - 2*t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/42*-7)\/(2\/40). Suppose w*v = 13*v - 9. Suppose -135 = -z - 2*x, -v*x + 6*x = 9. What are the prime factors of z?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 1, q: 2, u: 1}. What is prob of sequence ua?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 75 = -5*q, 0*y + 5*q + 165 = 5*y. Suppose y*t = 29*t + 5. Let o(c) = 19*c + 11. What is the tens digit of o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130103001 - -3203?\nAnswer: -130033132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/7, -0.0401, 0.5 in decreasing order.\nAnswer: 5, 0.5, 3\/7, -0.0401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 4, -388, 1, 3, 5 in decreasing order.\nAnswer: 116, 5, 4, 3, 1, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30606 times -15.3?\nAnswer: 468271.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose 0 = -5*d - 12 + 272. Let i be d*-1*2\/(-8). Solve 5*j + g = i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -823172 and -1.\nAnswer: 823172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10.466901 months?\nAnswer: 0.87224175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 + 4. Let p be h(-3). Suppose -25 = -27*z + p*z. Suppose 0 = w - z*w + 16. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4843370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65\/1484 + 8579\/7420. Factor x + 3\/5*p**3 - 3\/5*p**2 - 7\/5*p + 1\/5*p**4.\nAnswer: (p - 1)**2*(p + 2)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116082079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + -3 - (31 - (-32 - -99) - -66).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84425, 84431, 84437, 84443, 84449?\nAnswer: 84455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40656 by -3.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 3*g + 2*g)*(-1 + 1 - 6*g)*(-5 + 1 + 2)*(350*g**2 - 181*g**2 - 188*g**2) to n*g**4 + v*g**3 + u*g**2 + f*g + b and give n.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 294806549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/972)\/(3\/(1872\/182))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/(-9)*402\/5226.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttgggggtgggtbgtggtg. Give prob of picking 3 g and 1 b.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2065873470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 706675\/666 + -1061. Calculate the common denominator of 11\/15 and n.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1177256 and 394847.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 235, 209, 171, 115, 35, -75, -221?\n\"Answer: -f**3 - 19*f + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1331) + 3) - sqrt(1331)) + -1 + -2 + (3 + ((2 + 1 + sqrt(1331))**2 - sqrt(1331)))*4.\nAnswer: 275*sqrt(11) + 5387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 4224?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3891, -5, 0, -4, 1 in descending order.\nAnswer: 1, 0, -2, -4, -5, -3891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.35 and 0.3?\nAnswer: 0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 3:57 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (6 - (-89 + 88))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5766 - 5557.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggiiiggi. Give prob of picking 1 i and 1 g.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {z: 1, o: 1, r: 2, y: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(-3\/8)\/v)\/v*v)\/v**(1\/6))**(1\/14) assuming v is positive.\nAnswer: v**(-13\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 793 by -13.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6801, 6790, 6775, 6756?\n\"Answer: -2*a**2 - 5*a + 6808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -5 - (-6 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3\/7 + 1336*j**2\/7 - 112880*j\/7 + 220448\/7 = 0?\nAnswer: 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 18. Let j(z) be the third derivative of -2*z**2 + 0*z + 0*z**4 - 1\/6*z**3 - 1\/30*z**5 + d + 1\/120*z**6. What is j(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (1 - 4 - 9) + -6 + (-5 - -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let o(c) = -3*c + 40. Let h(a) = -4*o(a) + 36*s(a). Let j be h(-5). Sort -1, 4, 3, j in decreasing order.\nAnswer: 4, 3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(5\/20 - 0). What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + j**2 - 25 + 64*j**3.\nAnswer: 64*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11\/(-22))\/(1\/(-8)). Solve -2*f - 3 = -l - w, -5*f = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6ddb0a (base 14) to base 12.\nAnswer: 1316426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**7\/6300 - c**6\/900 - c**4\/8 - 10*c**2. Let a(w) be the second derivative of k(w). Factor a(n).\nAnswer: -2*n*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 35 + 129 = -r + 5*o, r - 56*o = -58*o - 13 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -14. Let b(q) = 0 + s - 76*q + 61*q. Let k(u) = u. Let p(r) = -r**2 + r. Let x(n) = -k(n) + p(n). Determine x(b(v)).\nAnswer: -225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4943943 and 887?\nAnswer: 4944830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - 1*(sqrt(68) + -2*sqrt(68) - sqrt(68))) + sqrt(68))\/sqrt(4).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 (base 13) in base 16?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + (sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(9) - (sqrt(2) + sqrt(16)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 3, c: 4, h: 1}. What is prob of sequence hck?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1043, 1046, 1049, 1052, 1055?\n\"Answer: 3*d + 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - 4 = 0. Let l = 9 + -6. Let z = l + 2. What is the remainder when z is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1701308, -1701338, -1701366, -1701386, -1701392, -1701378, -1701338, -1701266?\nAnswer: -1701156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 14) to base 6.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/13 - 6\/2 and -71\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1490906, 2981813, 4472708, 5963585, 7454438?\n\"Answer: -u**3 + 1490914*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(1\/(-8238)))\/((-42)\/21). Suppose -h = -12376 - p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -7*r**6\/120 + 7*r**5\/60 - 7*r**4\/24 - 21*r**2 + 2*r. Let u(g) = 4*g**3 - 3*g**2 + 3*g. Determine 3*c(z) + 7*u(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 12*y**2 + 23*y - 36.\nAnswer: (y - 1)*(y + 4)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w**(-10\/7)\/w)\/w))\/w)\/w**31)\/((w*w*w**(-23))\/w**(-26)) assuming w is positive.\nAnswer: w**(-228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122141.5 seconds to microseconds.\nAnswer: 122141500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 11*d + 19*d**3 + 16*d**3.\nAnswer: 35*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4101041 (base 5) in base 4?\nAnswer: -100003223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322232 (base 4) to base 8.\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t + 24. Let j(x) = x**2 + 3*x + 4. Let q be j(-4). Let i = q - 8. Let m be h(i). Solve -4*a + m = -4*f, -f + 1 = 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531878, -1063753, -1595628, -2127503, -2659378, -3191253?\nAnswer: -3723128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14766980?\nAnswer: 2, 5, 738349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -23. Let k(g) = -g - 10. Let m be k(-7). What is the remainder when 5 + m - q\/1 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4594340 and 22971700?\nAnswer: 22971700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1425.\nAnswer: 4\/1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - (5 + 1)*1. Find the third derivative of 11*n**4 - 123*n**2 - c*n**4 + 75*n**2 + 6*n**5 - 4*n**5 wrt n.\nAnswer: 120*n**2 + 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*g + 3109 = 17797 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124023205 - -5?\nAnswer: 124023214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, m: 3, t: 8}. Give prob of picking 1 m, 1 t, and 2 k.\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or -802\/7?\nAnswer: -802\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7cca (base 13) to base 6.\nAnswer: -213205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -2. Let x = 14 - 2. Suppose -c*v + x = -2*v. 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: Let b(f) = -f + 16. Let p be b(15). Sort -1, 16, p.\nAnswer: -1, p, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4920.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.0978\nAnswer: 0.0978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 453493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Suppose -2*i - 2*b - 4 = 0, -b + 0*b - 17 = -w*i. What is the second derivative of -3*j**i + 5*j**3 - 4*j**3 - 2*j wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 419829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0320226 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4\/9)\/g)**(-15)*(g**(-10))**(8\/11) assuming g is positive.\nAnswer: g**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -26888 != -26887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -4, -139\/3, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -398 or -399?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elllelellexlyll. Give prob of picking 2 e, 1 y, and 1 l.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000354879 rounded to 7 dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 + 3*x - 4. Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7526 + 0.0997?\nAnswer: 8.8523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50463 - 15500 = 1345*c - 249*c - 41757 for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/10)\/f**(-2\/5))\/((f\/(f\/f**1*f))\/f**(-2\/3)))\/(f**(2\/19)*f\/f**(2\/9))**(2\/3) assuming f is positive.\nAnswer: f**(-2849\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(2 + 0 + 0) - 1 + 5 - 3 + 1 - 1 - 1 - 1 + 2 - 2)*(-y**4 - 2*y**4 + 0*y**4).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 11\/159770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6)*(-90)\/(-20). Let r(w) be the first derivative of -1\/2*w**4 - 2*w - 2*w**3 - h*w**2 - 1. Factor r(s).\nAnswer: -2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*t + 24096 = 24666 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/9)*t**(-9)*t**(-3\/4)*t*t**(1\/2)*t)**(24\/13))**(5\/13) assuming t is positive.\nAnswer: t**(-2450\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-24827)\/(-2684) - 25\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032\/(-860) - (-46)\/80.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-10))\/((-3)\/15). Suppose 0 = -3*b + 4*b - t. Solve 7 = -2*a + d, 4*a = -b*d + d - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(98) + sqrt(98) + 0 + sqrt(98)) + (sqrt(98) - (0 + sqrt(98))*-6) + sqrt(98) + 1 + 2*sqrt(98) + (sqrt(98) - (2*sqrt(98) + -3)))**2*-2.\nAnswer: -28256 - 1344*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5385 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 36*u**2 + 37*u - 12. Is a(36) a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {d: 4, k: 4, x: 6, w: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -2 + 21 - (2 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 865642 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 11*d**2 - 144*d - 60. Let g be x(-13). Which is greater: -2246 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/7))\/((o\/(((o**(-4)*o)\/o*o*o)\/o)*o)\/o)*(o\/(o**4\/o))\/(o\/(o\/(o*o**(-2))))*((o*o*o**(1\/9)*o*o)\/o*o**7\/o)**1 assuming o is positive.\nAnswer: o**(313\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 53 in increasing order.\nAnswer: -2, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 + 3898\/15. Let k = 12473 - 12480. Let m = 0.3 - 0.2. Which is the nearest to m? (a) q (b) k (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5979535, -5979451, -5979367, -5979283?\n\"Answer: 84*k - 5979619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 105. Let w be t\/12 + 0 + (-4)\/16. Which is the third biggest value? (a) 2 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 0*k**2 + 1\/120*k**6 + 0*k**5 - k**3 + 0*k + 5 - 1\/280*k**7 + 0*k**4. Let u(y) be the third derivative of a(y). Factor u(v).\nAnswer: -3*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Let k = -27722\/19 + 1459. What is the smallest value in k, 0.2, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601598893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1 + 4 - 6 + l. Let s be n(5). Differentiate 3*r + s + 0*r - 5*r with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g**(-2\/11)*(g*g*g**1)**(5\/16))**10 assuming g is positive.\nAnswer: g**(2745\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in -44, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 497 + -614 - (-1 + -33)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6402615 is divided by 181?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 111?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 - 5. Let i = 0.5 - z. Sort i, 3, -2\/9 in ascending order.\nAnswer: -2\/9, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12 (b) 4 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 17 - (-38 - -31)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56217114571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2117187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 + 0)*(-3 + 3 - 2*o) - 3*o + 3*o - 3*o)*(-59*o**2 - 66*o**2 + 14*o + 3 + 126*o**2) to the form g*o**2 + l + k*o + i*o**3 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/1530*(-30)\/5.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*12\/(-7)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16127 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l**2. Let o(m) = -2*m + 89484. Give o(d(i)).\nAnswer: 44*i**2 + 89484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3 = -7*i. Let t be (6 - 2)*2\/5. Find f, given that 22\/5*f**2 - t + 16\/5*f - 6*f**i = 0.\nAnswer: -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 52*s - 673. Give c(12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-16)\/6 + 1719\/(-135). Do v and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 16) in base 7?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66103.\nAnswer: 66103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 k when three letters picked without replacement from rrkkrrrrrr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2778313 is divided by 11924.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97752.46 millennia?\nAnswer: 977524.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k**3 + k**2 - 68*k + 7059 wrt k.\nAnswer: -15*k**2 + 2*k - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 509 (b) -0.5 (c) -0.2 (d) -11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-160)\/(-26) - 20\/130).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6406 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 + 9*q - 12. Give s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 2165037?\nAnswer: 2165037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 5*y**3 + y**3)*(-2 + 0 + 4) + (2 - y**3 - 2)*(2 + 10 - 4).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.003095, 14, 1\/9, 8?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. What is the third derivative of -b**2 + 6*b**4 - 9*b**m + 0*b**2 wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12474384*b**2*q - 1861*q - 848 wrt b.\nAnswer: -24948768*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-34)\/(-36) - 1). Let f = -81 + 92. Let x(d) = -y*d + f*d + 8*d. Let s(i) = -4*i**2. Give s(x(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2 + (2 - 5) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3669559860 rounded to the nearest 1000000?\nAnswer: -3670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*h - 6*h - 191, h - 2*w = -56. Let f be h\/(-18)*1 + (-22)\/(-99). Solve 0 = f*n - 6*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 4067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 100. Calculate q(-29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**2\/2 + 4. Let j(h) = 2*h**2 + 2*h. What is 2*d(q) + j(q)?\nAnswer: 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25109)\/(-7174))\/(98\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-150)*16*(-1)\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79636.93 meters?\nAnswer: 79636930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 4, h: 1, s: 2, v: 9}. Give prob of picking 1 h, 1 s, and 1 v.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1804 + 239938\/133. Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9893, 39545, 88973, 158183, 247181, 355973, 484565, 632963?\n\"Answer: q**3 + 9882*q**2 - q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30360 divided by 60?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 69 + (-299 - -83).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110844*p**4 + 491*p**3 + 105458149*p**2 wrt p?\nAnswer: -2660256*p + 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5825953565 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r**2 + 1. What is the remainder when 376\/11 - 8\/44 is divided by p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12718.6974 + -12720. Let o = 0.08 - 1.41. Let p = b - o. Round p to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-4)\/(-8)*2*(-14)\/21\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 13 = -y, 3*o + 9 = -0*y + 3*y. Suppose 0*f - o*f = 0. Suppose 0 = z - f - 1, z - 88 = -x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 42*j**4 - 152*j**3 + 97*j**2 + 18*j + 30. Let s(w) = -21*w**4 + 77*w**3 - 49*w**2 - 9*w - 12. Let d(x) = -2*a(x) - 5*s(x). Factor d(b).\nAnswer: 3*b*(b - 3)*(b - 1)*(7*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123 + 3?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 66 + -24 + (-199 - -191).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 2808575*o + 42127500.\nAnswer: 5*(o - 561700)*(o - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36, 31, 26?\n\"Answer: -5*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(4 - (-113379)\/(-28343))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 9*l**2 + 0)*(-2*l**2 + 2*l**2 + 2*l**2) + 7*l**4 - 3*l**4 + 8*l**4 to the form b + x*l**4 + d*l**3 + a*l**2 + o*l and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 166158 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 8 = -12*p + 16*p, -5*p + 2*y + 3 = -7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 20*q**2 - 8*q + 6. Let n be d(19). What is the greatest common factor of 43 and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-412 + 779 - 429)*(5*n - 2*n + 2*n)*(-4*n**3 + n**3 - 5*n**3).\nAnswer: 2480*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*c - 4*g + g, c + 4 = 4*g. Sort c, -4, -3 in descending order.\nAnswer: c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 3368*t**3 - 26860*t**2 - 67200*t.\nAnswer: -t*(t - 3360)*(t - 10)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7997*l - 1287. What is the tens digit of p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) 2\/5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*8\/10*170\/(-68)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12987\/11544 - ((-9)\/(-12))\/3*(-6)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*k + 7707, 282*i + 5*k - 5133 = 280*i. Calculate the highest common factor of i and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:04 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (436\/545)\/(6*(-3)\/5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-5)*70\/(-14). Suppose -3*m + n = 5*b - 2*b, -5*m = -5*b - 30. Let f(z) = 2*z + z**2 - 10*z - 8 + 2*z. Give f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 45\/30*20\/6. Suppose -17 = 4*m - u*r, 3*m + 0*r - r = 1. Solve -m*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244\/209 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230003 - -43334?\nAnswer: -131114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 + 20*k**2 + 3*k + 17. Let x be c(-5). Solve 3*b = x*p - 3*p - 8, 2*b + 12 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*r**2 - 5468*l*r + 2*l + 159094226*r**3 - 3*r - 4536 wrt r?\nAnswer: -2*l + 954565356*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -38.34. Let t = i + -0.339976. What is t rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 227086 + -2?\nAnswer: 227084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.73 + 7.11. Let z = t - 0.08. Let v = -3.55 + z. Does v = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -167 (b) 31\/7 (c) -5 (d) -1.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3997 is divided by (-12)\/(-15)*(-450)\/(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*f + 5*f. Sort f, -4, 4 in decreasing order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4 - 1431*m**3 + 4299*m**2 - 4301*m + 1434 = 0.\nAnswer: -1434, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -21. Let r = -41627 + 541031\/13. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1694646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 132, 245, 400, 591, 812, 1057, 1320?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + -1.07. Let v = w - -1.6. Round v to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(768) + 1) + sqrt(768) + sqrt(768) + 1)*-4*3)**2.\nAnswer: 55296*sqrt(3) + 1770768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:38 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234176 is divided by 78058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546103?\nAnswer: 3, 7, 263, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 q when three letters picked without replacement from bqpdpvppdbhq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16816, 16827, 16838, 16849?\nAnswer: 16860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000771 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5395\/3 + -1786. Suppose 8\/3*w**2 - 4\/3*w + x*w**3 + 3*w**5 + 34\/3*w**4 + 0 = 0. Calculate w.\nAnswer: -2, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11070)\/(-324))\/(-41)*(54\/(-10))\/3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 30\/8)*24. Suppose 5*o + 13 = j. Suppose s - 14 = o. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 569849317*h**2 + 764939831 with respect to h.\nAnswer: 1139698634*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (-5)\/((-210)\/1862))\/((2296\/48)\/41)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/126 - (-48)\/56)\/13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5256\/5*g**2 + 17328\/5 - 48*g**3 - 3648*g + 3\/5*g**4 = 0.\nAnswer: 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*k = -16, -6*z - 3*k = -z. Let b(d) = 3*d**2 + 1. Let l be b(z). What is the greatest common divisor of 70 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 19 = -3*a, 0 = 4*a + 2*j - 9 - 3. Calculate the remainder when ((-27)\/6)\/((-1)\/2) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -7301.\nAnswer: -7298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 6*f + 9. Let h be k(-7). Suppose 5*z - 2*o - 101 = 0, 3*z + 12 - 79 = -h*o. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)*(-4)\/2. Let v be 1 - ((3 - k) + -3). What is the second derivative of 3*l + 0*l + 0*l**5 - v*l**5 wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.85 + -0.15. Let m = 9 + -9.8. Let d = -0.2 + m. What is the closest to d in -5, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-5)\/(-80)*16)*2\/228.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 6*c**2 + 189*c + 725. What is o(-4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100151400, 100151399, 100151398, 100151397?\n\"Answer: -u + 100151401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5979328 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878502254339.09 - -1?\nAnswer: 1878502254340.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 82. Suppose -2*g = d - 287, -5*d = -g - h*d + 160. List the prime factors of g.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 + 0.16. Let i = 0.4999929 - z. What is i rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q - 3*m - 234, q - 46*m - 18 = -49*m. Let z = -0.1 - 0.1. What is the closest to z in 5, -2\/11, q, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 4*u**2 + 6 - 7*u**4 + 4*u**2 - u - u**2 in the form a*u + z*u**2 + r*u**3 + i*u**4 + b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.0507059 - 8.0472. What is t rounded to five dps?\nAnswer: 0.00351","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*277919*(-692)\/(-4152) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -16*b - 2. Let l(m) = 3*m**2. What is i(l(o))?\nAnswer: -48*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 24*u + 1 - 7*u + 19 + 1. Let p be d(7). Suppose -p = -5*y + y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1787\/12 + 149. Let z(x) be the second derivative of 0*x**2 - n*x**4 + 0 - 1\/20*x**5 - 2*x + 0*x**3. What is the third derivative of z(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -942 - -7868. Suppose 0 = 3*z - j - 2959. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3218 + 3224. Let w(o) be the third derivative of -7\/24*o**4 - 4*o**2 - 1\/15*o**k + 0*o + 0*o**3 + 0 + 0*o**5. Find the second derivative of w(p) wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3674706)\/(-435) - 4\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 19 - 12 - 3*x + 3*x**2 - x in the form y*x**2 + p + i*x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/192 and 85\/52.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16413 or -16420?\nAnswer: -16413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.09, -31, 4 in decreasing order.\nAnswer: 10, 4, -0.09, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2100)\/6240 - 24\/(-52)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 30 = 4*t + t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 275710 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - 4 = 0. Let p be j\/16*10*2. Suppose t + 46 = p*n, 2*t - 58 = -7*n + 2*n. Calculate the smallest common multiple of n and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131023.\nAnswer: 131023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:47 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 0*o + 2*o = -2, 5*x + o - 20 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1687.222 to the nearest 10.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 43*v**2 + 742*v - 29668. What is d(45)?\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -199.735 + -1.\nAnswer: -200.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n + 172 = 26*n - 725 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, d: 7}. Give prob of picking 3 n.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/892 and 127\/247530.\nAnswer: 495060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3342238, 6684477, 10026716?\nAnswer: 13368955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g. Let n(i) be the second derivative of -9*i**5\/4 - i**3\/3 + 5750*i. Calculate 2*m(p) - n(p).\nAnswer: 47*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i*u**3 + 47891598*i*u + 12648323*i + 3*u + 7 wrt u.\nAnswer: -6*i*u**2 + 47891598*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o**2 + 3*o - 3. Let t be f(-4). Suppose -t + 11 = 2*c. Let q be (21\/(-15) + 2)*c. Solve -q*u + u - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 269*v**2 + 2*v + 5. Let y(j) = -524*j**2 - 4*j - 8. Give -11*a(z) - 6*y(z).\nAnswer: 185*z**2 + 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:26 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13791*t - 313413 = -782165 - 289753 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.036057*5\nAnswer: 0.180285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2, 915, 5, -29 in increasing order.\nAnswer: -29, -23, 2, 5, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*m - 1 + 10 = 0, 0 = 3*f + m - 27. What is the remainder when 27 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-8)*2*-2. Let i = 0.0179 - -41.8821. Let h = -42 + i. Which is the nearest to 1? (a) v (b) h (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 85259, 341028, 767311, 1364108, 2131419, 3069244?\n\"Answer: 85257*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 - 3.11. Let y = 4.1 + v. What is y rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9 - 29 + 43 - 2*y. Let m(x) = 1. Give d(b) - 3*m(b).\nAnswer: -2*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -35, 19, -237 in decreasing order.\nAnswer: 19, -4, -35, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 44, 9972 in decreasing order.\nAnswer: 9972, 44, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21150085.\nAnswer: 5, 11, 384547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**3 + 16*w**2 - 227*w + 6. Let v(p) = 12*p**3 + 21*p**2 - 227*p + 8. Let t(y) = 4*c(y) - 3*v(y). Find the third derivative of t(l) wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3783 and -724.\nAnswer: -2738892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*h + 192*h + 251*h + 304*h = -50547 for h.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473783303 by -1.\nAnswer: 473783303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/(j*j*j**3)*j*j\/((j\/j**(-3))\/j*j)*j**(2\/5) assuming j is positive.\nAnswer: j**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 9*b**4 - 69*b**3 + 99*b**2 - 42*b = 0. Calculate b.\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -797*m + 800*m - x - 4, 5*m + 3*x = -26 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/60 + o**4\/4 + o**3\/2 - 83*o**2. Suppose -40 = 4*w - 16. Let i be f(w). What is the greatest common divisor of 9 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)*p**(2\/3)*p**(-1)*p*(p\/((p\/(p\/(p**(6\/11)*p*p)))\/p))\/p*(p\/(((p*p*p\/((p\/(p\/(p**(-9)*p)))\/p)*p)\/p*p)\/p)*p\/p**(2\/3)*p)**0 assuming p is positive.\nAnswer: p**(-128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 545182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2003 (base 9) to base 7\nAnswer: -4155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17912 + -393971\/22. Let s = -40430881\/12 + 3366888. Let a = s + 2356. Find the common denominator of a and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 1. Suppose 0 = -1374*t + 1375*t, -4*j + 352 = 2*t. Let s(g) = -28*g - 22. Determine j*x(l) + 4*s(l).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*b + 54*b + 63*b + 49*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6569, -6621, -6691, -6785, -6909, -7069, -7271, -7521?\nAnswer: -7825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 35 = 5*z, -6 = -5*k + 4*z + 2. Suppose k*m - 71 = -19. Suppose -3*f + 163 = 13. What is the remainder when f is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(23\/3))**(10\/7)*(x\/(x\/x**1))**28\/((x*x**(1\/7))\/(x\/x**4*x*x*x)) assuming x is positive.\nAnswer: x**(104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99569633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.23, -1180, -1.1?\nAnswer: -1180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 582203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 1343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 571, 2, -3, 1, -47.\nAnswer: -47, -3, 1, 2, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 38*g + 97. Give k(0).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 825*b**2 + 244*b**2 + 1156*b**2 + 94*b**2 to the form w*b + z*b**2 + g and give z.\nAnswer: 2319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 203*a + 1699. Give z(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143\/3 - 1651\/33. Calculate the common denominator of 1042\/28 + 6\/21 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 1\/9*y**2 - 1\/45*y**5 + 0 + 1\/27*y**3 + 1\/135*y**6 + 1\/189*y**7 + 3*y - 1\/27*y**4. Factor u(f).\nAnswer: 2*(f - 1)**2*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b + -455?\nAnswer: -42a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 18645 = 18681 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-35))\/(1\/364). Suppose 16*c - n = 13*c. Let x = -73 + c. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4512 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 37 = 5*y - y, -2*x + 19 = 3*y. Let f(c) = -c**2 - 21*c - 34. Let d be f(-7). Suppose d = -o + x*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by -48\nAnswer: -65\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 minus 3.4681867652?\nAnswer: -142.4681867652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-1 + sqrt(1008) + (sqrt(7) - (sqrt(63) + -1) - sqrt(7)))*4 + 2.\nAnswer: -12*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w**5 + 0*w**4 + 0*w - 2*w**2 + 0*w**3 + 1\/2*w**6 + 1. What is the second derivative of o(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 100. Suppose 0 = 102*k - a*k + 199. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -774837*d**4 - 798*d**2 - 487 wrt d.\nAnswer: -18596088*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, c: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, w: 5, x: 6}. Give prob of picking 4 w.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033511433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4869\/4 + 1217. Let i = -0.17 + 8.17. Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5603 is divided by 1261.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36284*v**3 - 42512 wrt v.\nAnswer: 108852*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39569 (base 11) to base 14.\nAnswer: -16898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -26. Let b = -12 - -10. Put -5, o, b in descending order.\nAnswer: o, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/16 and 169\/77994.\nAnswer: 623952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 63.48449?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -4766783?\nAnswer: 5\/4766783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/769 - 71541\/6152. Let x = 30002\/765 - 24361019\/16830. Let z = x - -4211\/3. What is the common denominator of z and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -375394 and -375384 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 26 = -2*p. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)*p)**9)**(-3\/32)\/(((p**(-1)*p)\/p)**22*p**(-1\/7)\/p*p\/((p\/p**(1\/6))\/p)) assuming p is positive.\nAnswer: p**(3503\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -24*o + 76. Let f be c(0). Find the third derivative of 139*p**2 - 116*p**4 - f*p**2 - 14*p - 62*p**2 wrt p.\nAnswer: -2784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 divided by 2363?\nAnswer: -271\/2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:35 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*o**2\/13 + 16672*o\/13 - 3032\/13.\nAnswer: 2*(o + 758)*(11*o - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64020 at least as big as 64052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 t when four letters picked without replacement from {b: 9, i: 2, o: 1, t: 8}?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 26596548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -1188, -2617, -4608, -7155, -10252?\nAnswer: -13893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 13. Let y be k(6). Suppose y*a - 297 = -101. Suppose 2*h + a = 6*h. Solve 3*l = h*l - 3*w - 15, -2*w - 10 = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozzo when four letters picked without replacement from ooozzoozzzooozoooo?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 54*i + 358. Let t be p(-18). Let v(z) = z - 45. Determine v(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**6\/1260 - 5*h**5\/84 + 137*h**3\/3 + 71. Let b(o) be the third derivative of p(o). Find z such that b(z) = 0.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11256387.\nAnswer: 3, 241, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.59702 litres in millilitres?\nAnswer: 25597.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-476))\/(((-2)\/2)\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23052 and 3252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-1)\/2*-2. Let v be ((-6)\/15)\/((-3)\/30). Let q be 2 + v\/(-2) + j. Solve -2*c = q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*v**3 + 86*v**3 + 67*v**3 + 22*v**3.\nAnswer: 130*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/8 + 48*b - 4608 = 0 for b.\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 m when four letters picked without replacement from mfmmffnmmnpmfpmm.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(6 + 60))\/(20\/(-150))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3154 - -3204. Calculate the remainder when 464 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105663\/16 - -6606. Suppose -4*u = 5*l + 413, l + 4*l + 3*u = -411. Let c = 809\/10 + l. What is the common denominator of c and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*n + 570 = 266*n - 634 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2079\/567)\/((-506)\/(-7038)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4 - -5) + -9 + -7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1041*l**2 - 29*l - 168. List the prime factors of v(-7).\nAnswer: 2, 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1454 - 1516) + 0 + 83?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000*c + 6045 + 35288 + 31276 - 3609 = 0 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + z**2 - 2*z + 1. What is y(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 40*k**2 - 146*k + 468.\nAnswer: -2*(k - 2)*(k + 9)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -171755 - -0.03897509\nAnswer: -171754.96102491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1929 - 1855. What is the remainder when 1923 is divided by d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 454*j**3 - 175 - 2*j - 13*j - 15*j - 453*j**3 - 28*j**2 - 6*j**2. Calculate c(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, d: 11}. Give prob of picking 1 b and 2 d.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6, 2*l = -3*l + 2*t + 504. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-8)*(11 - -1). Suppose i = h - 1. Let b = h - 14. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:21 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = a + 5*i + 138, -5*i = -34*a + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2806\/20)\/(8 + -1). Let t = -148\/7 + v. What is the common denominator of 13\/16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 3*o**2 + 48*o - 48.\nAnswer: -3*(o - 4)*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/95 and -65\/822.\nAnswer: 78090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by 6?\nAnswer: 97\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/51257551 or -1?\nAnswer: -10\/51257551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -24*(-2)\/(-3). Let d = c + 23. What is the lowest common multiple of d and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 + 128. Suppose -5*r - 36*b + 374 = -37*b, 5*b = -h. Calculate the greatest common divisor of r and 592.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65512, -65515, -65520, -65527, -65536?\nAnswer: -65547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 0 (c) 5 (d) 14 (e) -0.2 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5255\/286 + -473\/26. Let g = -0.56 - -0.06. Which is the second smallest value? (a) g (b) v (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56949*v**2 - 57689*v**2 + 114635*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 370 (base 10) to base 7\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2148 is divided by 127?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3322676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/450)\/((-2)\/77*14\/6).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*v + 3 = -0, 0 = -3*r - 3*v - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12488, -12482, -12476, -12470?\nAnswer: -12464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -883, -729, -393, 191, 1089, 2367?\nAnswer: 4091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 253, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7417311 + 42?\nAnswer: -7417247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -3*b - 12, -2*i + 5*b + 16 = 0. Let d be (1 - i) + (-27)\/(-6). Let q = -3.6 + 4. Put q, d, -2 in decreasing order.\nAnswer: d, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3) - 86\/(-6). Let o = p - 37. Is -23 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 497 = 3*a. Suppose 0*b = b - a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-532)\/(-21) - 14)\/((-16)\/24).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 120846.4 to the nearest 100.\nAnswer: 120800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 3*p + 1. Let v be u(-2). Let k be v + 16 - (3 - 1). Let y = k - 11. Calculate the greatest common divisor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1129*z - 1136?\nAnswer: -1129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27256 (base 8) in base 15?\nAnswer: -381a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:27 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-480)\/36 - -13)\/(1\/(-93309)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 7. Let t = 145 - 85. Let v be 6\/(t\/(-430)) + 2. Sort b, 4, v in increasing order.\nAnswer: v, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1048 = 11*f - 7*f. What is the units digit of 0 - (-4)\/12 - f\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26ea (base 15) in base 14?\nAnswer: -3064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/45 and 44\/1269.\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 2:25 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/31223 in 7, 2\/7, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4280733*o**2 + 460*o**3 + 4280733*o**2.\nAnswer: 460*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(-1\/15)*m**(-4\/5))\/((m\/(m*((m*m**(-3)*m)\/m)\/m*m*m*m*m))\/m**(-14)) assuming m is positive.\nAnswer: m**(-161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p**2 - 56*p + 8. Let i(w) = -4*w**2 - 19*w + 3. Let f(v) = -8*i(v) + 3*s(v). Let m be f(-16). Solve 4*z + 2*n - 8 = -m*n, 2*n + 12 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*1 - sqrt(2299))*-3 + ((-1*sqrt(2299) - sqrt(2299))*-4)**2 - ((-2*sqrt(228)*2)\/sqrt(12) + -2)) + 4 + -2.\nAnswer: 4*sqrt(19) + 147140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -5 (b) -40 (c) -1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228 - 38 + 62)*(-3*r + r + r) - 5 + 5 + r.\nAnswer: 205*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 7*i + 159. Let w = -47 + i. Solve -2*r - 15 = -3*y, -y - 3*r = -4*r - w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8498958.3 minutes in weeks?\nAnswer: 843.150625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 249 * 455262.\nAnswer: 113360238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + 67. Let k = m - 101. What is the greatest common factor of k and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/(-10)*(-2)\/(-3). Let t(j) = 12*j + 4. Let o(q) = -14*q - 4. Let d(r) = k*t(r) - 4*o(r). Determine d(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/(24\/(-423)))\/((-1973)\/152 - -13) and 10?\nAnswer: 8930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.07, 0.2, -0.02, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.353 times 96\nAnswer: -225.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*x + 17, x - 5*w + 13 = 5. Suppose 4*i - 4*r = r - 2967, 3*i + 4*r = -2233. Let m be (-1)\/x - i*174428\/(-12). Round m to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 t when four letters picked without replacement from llltltl.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*x**3 + 4204 wrt x.\nAnswer: 375*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5302\/180997?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -207 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372 is divided by 355?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 767*u**4 - 2*u**3 + 33*u**2 + 6*u.\nAnswer: 18408*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 1146*o + 16. Let u(v) = 4. Calculate -l(x) + 4*u(x).\nAnswer: 2*x**2 + 1146*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -21, -63, -131, -231?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*h + 36, 2*j + 1014 = 2*h + 1028 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r - 8 = 0. Let i(d) = -d**2 + d + 6. Let q be i(3). Which is the nearest to r? (a) q (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/12, -0.4, -4\/21, -3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 699154576 and 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247390 and 10654930?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164265090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 446.2447 weeks?\nAnswer: 74969.1096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 0 + 0 - 5 - 2 + a. Let s be r(10). Suppose s*u - 38 = -2*w + w, -u - 217 = -4*w. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttkttktttt. Give prob of sequence ttkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -424 + 28406\/67. Let s = -331\/134 + l. Find the common denominator of s and 23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (0 + -2) - (-169 - -172)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(13) + 4)*3.\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -66, 146932, 3?\nAnswer: 146932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140\/23 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430414401 (base 5) to base 6.\nAnswer: -102450225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21070482 divided by -24818\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((448\/(-7))\/(-32))\/(6*(-9)\/3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b3 - -1?\nAnswer: -4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 10 - 40, -3*k = 2*j - 27. Solve -16 = 4*s + k*a, 0 = -3*s + 4*a + 3 - 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z. Let t(o) = 2*o - 101. Determine n(t(a)).\nAnswer: 34*a - 1717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 5. Let m(r) = r + 1. Let c(w) = -b(w) - m(w). Let q(s) = -2*s - 11. Calculate -8*c(k) - 3*q(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g**3 + 4*g**2. Let u(z) be the third derivative of 13*z**6\/40 + 11*z**5\/60 + z**2 + 5*z. What is -11*r(q) + 4*u(q)?\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i + 55 = -19*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7728153 weeks?\nAnswer: 467398693440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 49274574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2 + 48*x + 7. Let i be z(7). Let v = -47 - i. Solve -v*s + 3 = m, m + 2*m - 4*s + 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*q - 39*q - 15072 = 43*q. Calculate the greatest common divisor of q and 2983.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1421623110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 99\/22*(-12)\/(-18). Sort -2, -9, r.\nAnswer: -9, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4\/7))\/(i*i**(2\/7))*i**(4\/7)\/i**(3\/8) assuming i is positive.\nAnswer: i**(27\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -2, 3, -728 in decreasing order.\nAnswer: 3, -2, -171, -728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*n + 154 = -3*n, -3*n = 3*u - 162. What is the remainder when u is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 30*x**3 + 3*x**2 - 31*x + 160. What is the tens digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14 - 42*r**2 - r + 9*r**3 + 9*r**2 - 1 - 56*r = 0. Calculate r.\nAnswer: -1, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6914*o**4 + 7622*o**3 + 12*o**2 - 3123850*o + 2 wrt o?\nAnswer: 165936*o + 45732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(76)*-1 + sqrt(76) + sqrt(76))*-2 + sqrt(76))\/sqrt(4))**2 + -4 + 4 + ((0 + sqrt(931))*-2*-2)**2.\nAnswer: -10*sqrt(19) + 14940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 3*a**2 + 1\/12*a**4 + 5\/6*a**3 + 0 - 3*a. Suppose 2*k + 4*s + 30 = 0, k + 5*s + 22 = -8. What is z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -836b - -dc?\nAnswer: -828f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3769*m**2 - 6*m + 3. Is h(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = r - 3, 0 = 2*r - 2*d + 1 - 3. Let c(w) = -w**2 - 7*w + 6. Let u be c(-7). Let k = u - -1. Solve y - k = -v, -2*y = -2*v - r - 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/5 + 22\/5. Suppose 3*s + 436 = 4*u, -j*u - 5*s + 580 = -0*s. Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/(-2) - 2\/4. Suppose 143 = -2*p + 87. Let g = p - b. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 791111592 by 2585332.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -3)*3\/9. Let j(a) = -9*a - 1. Let h be j(v). Calculate the greatest common divisor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 5. Let d be x(-4). Let a = 202 + -201. Solve d - a = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(612) - (sqrt(612) + 0)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 0.5 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j + 272 = 3*n, -3*n = -2*j - 262. Let w be ((-43)\/(-3))\/(170\/n - 2). Suppose d - 377 = w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) 2\/11 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**2 - 27*y + 9. Let q(k) = -4*k**2 - 14*k + 5. Calculate -5*q(h) + 3*t(h).\nAnswer: -h**2 - 11*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382815551?\nAnswer: 3671, 104281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3024 in -2, -27, 2\/7, -0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2 + 257*k - 72. Let n be l(-37). Factor -2\/3*o + 4*o**3 - 10\/3*o**n + 0.\nAnswer: 2*o*(o - 1)*(6*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*j**3*n**3 + 1084*d**3*j**3*n - 22163*d**3*j*n**3 + d**3 - 12*d*j**2*n**2 wrt n?\nAnswer: 6*d**3*j**3 - 132978*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*1)\/((-480)\/68 + 7). What is the highest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3\/71 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111322 (base 4) in base 13?\nAnswer: 94a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/3 - 8*o**4 - 110*o**3\/3 + 260*o**2 + 109*o\/3 - 252 = 0. What is o?\nAnswer: -7, -1, 1, 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46871\/84 + 1670\/3. Let u = j + 3\/4. Let b = 4.8 - 5.2. What is the closest to 3\/2 in -5, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/16 and -97\/23488.\nAnswer: 23488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 15 = -t, -2*z + t = -0*z + 29. Let j(o) = o**2 + 15*o + 15. Let b be j(z). Let w be 3 - (52\/16)\/b. Sort 4, 27, w in descending order.\nAnswer: 27, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1699 in 8, 25, -0.4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7 = 3*d, 0 = d + 4*o + 12 + 5. Let h be 4\/((2\/28)\/d). Let s = h + 85. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**8\/336 - f**7\/70 + f**6\/40 - f**5\/60 - 202*f**2. Determine o so that h(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33102 (base 4) to base 2.\nAnswer: 1111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 948248 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -27, -22.\nAnswer: -27, -22, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10588859.73 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*m + 25203 - 24391 = 0. Suppose -15\/4*y**3 - 9\/4*y**m + 15\/4*y + 9\/4 = 0. What is y?\nAnswer: -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)*(w\/(w**(-1\/7)*w)*w)\/w assuming w is positive.\nAnswer: w**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102084311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4849 and -0.1.\nAnswer: 484.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1800451, 7200629, 16200925, 28801339, 45001871?\n\"Answer: 1800059*u**2 + u + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-2*3\/198)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 1. Let m(a) = -5*a - 14. Let d be m(6). Let n = d + 60. Calculate the greatest common divisor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 26*g**2 + 152*g + 13. Give p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -525 - 6?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m**2\/3 + 17*m - 26\/3 = 0 for m.\nAnswer: 1, 26\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -273. Let f = -1738\/7 - o. Is 47 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*v - 50 = 0, -2*v = 2 + 8. Let d be (1\/2)\/(q\/16). Put d, 5, -4 in decreasing order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/4 - (-1)\/(-4). Suppose -1 = -k*p + 14. Suppose p*x - 2*x = 12. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-66)\/(-4))\/3 - -2)*2. Suppose 20 = -2*s - 4*u, -o = 3*s - 4*u + 25. Which is greater: s or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 1. Let l(u) = -2*u**3 + 8*u**2 - 4*u + 2. Let i be l(3). Suppose -i*d + 3*d + 25 = 0. Suppose -d*p = p - 6. Calculate q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6393*s**2*v**3 + 110*s**2*v + s*v**3 + 5*v + 2 wrt v.\nAnswer: -38358*s**2*v + 6*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**4*j)\/j*j)*j\/j**(3\/7))**(-3\/8) assuming j is positive.\nAnswer: j**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 3. What is the tens digit of q(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -102*m**3*u + m**3 + 24*m**2 - 396*m*u**2 - 16*m + 3 wrt u.\nAnswer: -102*m**3 - 792*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5420 and 6376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00461348613 to 4 dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:28 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3\/8 - 38197*y**2\/8 - 6365*y\/4 + 3183 = 0?\nAnswer: -12732, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, -0.4, 1295?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/5 + 8*k**2\/5 + 638*k\/5 - 1292\/5 = 0.\nAnswer: -17, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3216\/7 and 459 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, 89, 400, 1029, 2084?\n\"Answer: 18*g**3 - 3*g**2 - 16*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaaeaeeeaeoeaeeaee. Give prob of picking 1 e and 3 a.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2.5, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f*f**(-8)*f*f*(((f**0\/f)\/f)\/f)**(-24)*(f**3*f*f**(-8))\/(f\/f**(2\/5))**(3\/17) assuming f is positive.\nAnswer: f**(5516\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + -14 + -5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -49. Let z = k - 21. Suppose -2 + 4 = -u. Sort -3, u, z in descending order.\nAnswer: u, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i + 5*i**2 + 5*i**3 - 4*i + 0*i wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9658, -4, -0.3 in ascending order.\nAnswer: -4, -0.3, 9658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -876 or -116563\/133?\nAnswer: -876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-195*(-28)\/735)\/(4\/(-22)*5). Which is bigger: m or -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*14*(-1 + 0). Suppose f = d - 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 9886\nAnswer: 296.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + 2) + (sqrt(17) - (sqrt(17) + (sqrt(102)\/sqrt(6))**2 + -3)) + -2 + -6*(sqrt(153) + -1)**2.\nAnswer: -936 + 38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*s = -3*c + 56, c = 5*s - 16. Suppose 33 + c = -2*f. Let g = f - -18. Let x(j) = -2*j - 3. What is x(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, q: 4}. What is prob of picking 2 q and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 9*i - 10. Let b be c(-7). Let x = 25 + -17. Let r = x + -3. Which is bigger: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -37*y**2 - 3549*y + 366. What is p(-96)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2*3\/(-9 + 6). Suppose 5*m = 3*t + 2 + 4, 4*m = -t + 15. Suppose m*k - 6 = -2*x, 2*x + 12 = -v*x. Solve -k = -2*w - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:40 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 - 5*j**2 + j - 2. Let a(v) = -v**3. Calculate -6*a(r) - h(r).\nAnswer: 2*r**3 + 5*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + x. Let w = -21 - -11. Let t = w - -8. What is the tens digit of z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4140 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-5 - 60)) + 3. What is the highest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 - 2 - -2. Suppose -3*f - 2*f = -15. What is the lowest common multiple of f and (-1*m)\/(3\/(-21))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15337396, -30674792, -46012188, -61349584?\nAnswer: -76686980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 167, 170, 173?\n\"Answer: 3*o + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 36891.\nAnswer: 10\/36891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 - 5*w**2 + 7*w - 2. Let a be f(2). Let s be 4 - (-4 - -2)*-1. What is the derivative of 80*p**s + 19 - a*p**4 - 80*p**2 wrt p?\nAnswer: -64*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565591.7l in millilitres?\nAnswer: 565591700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*r + 19 = 0, 0 = -3*f - 17*r + 13*r - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104549 or -1150040\/11?\nAnswer: -104549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/1833 and 7\/135?\nAnswer: 82485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - s - 1)*((0 + 0 + 1)*(0 + 3 + 0) + (4 - 7 - 5)*(1 - 2 + 0))*(4*s - 2*s - 3*s)*(-7*s**2 + 4*s**2 + 0*s**2).\nAnswer: -33*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25408\/8*(-1)\/(-2). Suppose 38*i = 42*i - b. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 v when three letters picked without replacement from {d: 3, q: 1, a: 4, v: 9, s: 2}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -77. Let t = -33 - k. Solve -2*o + t*o - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 2*o**3 + o**3 + (2*o**2 - 3*o**2 + 4*o**2)*(-36*o + 434 - 434) to the form y*o + z*o**2 + h*o**3 + c and give h.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*c + 4*c**3 - 40\/3*c**2 + 8.\nAnswer: 4*(c - 3)*(c - 1)*(3*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4858 divided by 7.\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 11*i + 75, 189 - 5 = -136*z + 14*z - 4*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:09 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 at most as big as 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 33*y + 2249. Let p be c(-69). What is the closest to p in -3, 2\/7, -0.1, -1\/30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let f(d) = -224158*d**2 - 2 + 724157*d**2 - 121*d + 1 + 123*d. Let v be f(u). Round v to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 6838 = 6878 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0945263 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -804044 at least as big as -803787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = t + 2, -2*t - 8 = -6*j. Let m = -2 - -5. Which is the closest to -1? (a) 9 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1366 - 350144?\nAnswer: -347667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:15 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (372\/8)\/3. Which is smaller: -17 or f?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12719583 is divided by 313.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 9*c**2 + 9*c - 5. Let z(y) be the first derivative of 4\/3*y**3 - 2*y - 1\/4*y**4 - 3 + 2*y**2. Give 4*p(u) - 9*z(u).\nAnswer: u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 4)\/1 - 1. Suppose -v = -p*a - 15, 3 + 11 = v - 5*a. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 8, 5*n + 5*s - 2*s = -7. Let i be 10\/(-35)*(8 - n) - -104. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1034391268 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1540465, -1540268, -1540071?\nAnswer: -1539874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/3*(-11 + -1 - (-1665)\/135)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-20))\/(10\/100)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**6*z + 23*l**5*o**2*z + l**2*o*z - 4*o**2 - 9*z wrt l.\nAnswer: -480*l**3*z + 1380*l**2*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 11. Let l = 5 + h. Is ((-7)\/(-3))\/l*-21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 5:56 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 5*k - 4. Let d be y(3). Let h(p) = p - 10 - 3*p**2 + 4*p**d + 5*p. Is h(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 3*i - 5. Let h be (15\/(-20))\/((-2)\/8). Let s(j) = -2*j**2 + 2*j - 3. Let a(p) = h*w(p) - 5*s(p). What is a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.180558?\nAnswer: 0.361116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8946*f + 8943*f + 48 = -2*w + 6*w, -2*f + 32 = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/5 - 11104*b**3 + 385086656*b**2\/5 + 616671744*b + 6168494592\/5 = 0.\nAnswer: -4, 13884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1665\/488 - -74\/61. What is the common denominator of 47\/4 + (-3 - -1) and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*y + 59, -2*s + 0*s = 3*y - 71. Factor -9 + 51*n**2 - y*n**2 - 6*n - 21*n**2.\nAnswer: 3*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64882296 and 9?\nAnswer: 64882296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 22. Let b = -4 + z. Let p = -2.3 + b. What is the third biggest value in -1\/2, 1, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 0.3 (c) 8\/7 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1, 14, -2, -3.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/13741 and 101\/52?\nAnswer: 54964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 277711921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 237858991 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2*l + 3*l + 5, -5 = l - 5*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10131 (base 4) to base 11\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -28 + 20 + 22 - -23?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78578133 is divided by 536.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2671, -5472, -8409, -11488, -14715, -18096?\n\"Answer: -y**3 - 62*y**2 - 2608*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**4 + 2*w**2 - 276*w**3 + w**4 + 274*w**3 + (2*w - w - 3*w)*(4*w**2 + 2*w**3 - 4*w**2).\nAnswer: 7*w**4 - 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-4))\/((-3)\/6). Let c(l) = -l**3 - 5*l**2 - 6*l - 5. Suppose -39 = -r - 2*r. Calculate the remainder when c(o) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, k: 1, w: 2}. Give prob of sequence ggww.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - c3242a6?\nAnswer: -c3242a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o + 47. Calculate a(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0074036894 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/(-310) - (-258)\/20)*16\/(-12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.252 and 368.\nAnswer: 92.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 36 + 39*x - 37*x + 56.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452963 is divided by 315.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39017097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -32070?\nAnswer: -16035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-3188)\/2*45\/90 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 5 + (-1 + 4 + 1)*(-2 + 2 - 2))*(0*n + n - 3*n)*(-4 + 1 + 2) as l*n + b and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283100550 and 43575.\nAnswer: 6225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(104*(-166)\/3237).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169302246919791\/22040 + -7681590141. Let j = -2\/2755 + b. Let q = -501\/17 + 4493\/119. Calculate the common denominator of j and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 10. Let u be (-75)\/(-126) + 3\/(-18). Which is the second smallest value? (a) w (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-45))\/(2\/30). Suppose -2 = 2*n - 6. Solve n*c + 1 = -t + a, -8 = -2*t - 2*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**6\/30 - x**4\/6 - x**2\/2 - 4*x. Let c(r) be the first derivative of d(r). What is the second derivative of c(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 5*z**2 - 1 - 3*z**2 + 9*z - 2*z**2. Suppose -y + 20 = 3*y, -4*y = -2*k - 6. Suppose a + 3*c = 0, 5*c + 8 = -k. Give w(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 855 + -24?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74902 is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29905 and 429579344?\nAnswer: 5981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 5. Let x be j(-2). Suppose -4*u + 0*u - x = 3*r, -8 = -4*r + 4*u. Solve n - h + 6 = r, -2*n = 4*h - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7373365 is divided by 1946.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 5*k**2 + 5*k - 14. Determine w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.77903 weeks in hours?\nAnswer: 14410.87704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k - 194. Let p(n) = 17*n + 214. What is 4*f(z) + 5*p(z)?\nAnswer: 9*z + 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/(7080\/48)*-3*25\/(-36)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**2 - 5*k + 5*k + (90 + k**2 - 90)*(-6 + 1 + 4) - 3*k + 3*k - 5*k**2 to the form g*k**2 + f*k + z and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.4 (c) -26 (d) 1\/6 (e) -30 (f) -0.03 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3466, -3453, -3430, -3391, -3330, -3241, -3118?\nAnswer: -2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 + 46. What is the least common multiple of l and 6?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*j + 5. Suppose -10*h - 323 = -533. Calculate the remainder when (j\/(-4))\/((-1)\/83) is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 14*n - 7. Let t be q(-11). Let d = t - 64. Calculate the remainder when 65 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.2 less than 2004389.6?\nAnswer: 2004315.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**2\/2 + 45*l + 11. Does 15 divide h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 84\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + -9)\/(3 - 2). Let n(o) = -63*o**3 + o**2 + 2*o + 1. What is the remainder when n(-1) is divided by 0 + (2 - 2) + (-15)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*x = 5*t + 214, 2*t - 2*x = -198. What is the units digit of -2 + 2 + (-2 - -6 - t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456870 and 1965.\nAnswer: 59849970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1079 = 2*y - 1075. Which is the fourth biggest value? (a) 5 (b) -0.5 (c) y (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-14) + -9 + 118\/14. Solve -m - 30 = 5*j, 0*m - 2*m - 10 = d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a kilogram in grams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43701621 - 1423?\nAnswer: 43700198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 8*y - 2. Let i = -80 + 29. Let q be (-1*i\/(-2))\/(9\/12). Let p = 41 + q. Determine j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z + 1. Let x(c) = -36*c**3 - 5*c**2 - 2. Determine x(u) + 2*y(u).\nAnswer: -36*u**3 - 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12703547 (base 8) in base 16?\nAnswer: -2b8767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 261124.331 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 355, -12 in decreasing order.\nAnswer: 355, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**3\/6 - m**2\/2 - 12*m + 43. What is p(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let i(z) be the third derivative of z**5\/60 + z**4\/4 - 13*z**3\/6 - 2*z**2. What is the smallest common multiple of 20 and i(-9)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12 (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) -0.4 (c) 3\/2 (d) 2 (e) 47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7443 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 + -26 + (0 - -5) - -4) + (-996 - -908).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52786 * -0.1.\nAnswer: -5278.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 16. Let y = 7 - 6. Calculate the least common multiple of y and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 54\/5 of a microgram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -484120.\nAnswer: -1\/34580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1514 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37147, -37218, -37283, -37342?\nAnswer: -37395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8639 and 19557?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-18)\/a**(6\/13))**(-3) assuming a is positive.\nAnswer: a**(720\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 7*g**2 + 8*g + 4. Let m be n(-6). Let y be (-1)\/(m\/(-167006)) + 4\/28. Let f = y + 20879. Find the common denominator of f and 1\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25)\/(-5) + 230\/(-2). Let s = 110 + g. Which is the third biggest value? (a) -1\/3 (b) -1 (c) s (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, -6, 1, 8, 15?\n\"Answer: 7*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 139*b - 9702. Calculate t(116).\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266485 is divided by 15668?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-19))*(x\/(x*x*x**16)*x*x)\/x)\/(x**(-3\/2)*x*x)**(11\/6) assuming x is positive.\nAnswer: x**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 67*v. Let t(z) = -55446*z. Determine t(d(x)).\nAnswer: -3714882*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -674154*k**2 - 163*k + 1616?\nAnswer: -1348308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -2 (c) 2\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719628?\nAnswer: 2, 3, 7, 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -109853109392?\nAnswer: -109853109399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160015 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -143) + -49 - (-4 + -1 + -12)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 37. Is (-6)\/3 + u + 3 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 22, 34, 46, 58?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-1701)\/6)*(-3)\/(-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(1300).\nAnswer: -10*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z - 3*f + 54, -5*z = -3*f - 54. Let n(t) be the first derivative of -15 - 4*t + 3*t**4 - t - z*t. What is the first derivative of n(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -475.345 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9)*0\/4. Suppose -j + 2*o = -519, q*j - 5*o = j - 540. Suppose -3*u + j = 36. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9824 >= 9826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + 157872.52.\nAnswer: 157752.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**3 - 3*a + 2*a**4 + 0*a + 3*a**3 + 5*a in the form h*a + f*a**2 + w*a**4 + g + k*a**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-30))\/((31040\/500)\/(-194))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from mepepw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/9)\/(-2 + 1). Let b = 8.3 + -8. Sort n, b, 3 in descending order.\nAnswer: 3, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 7429091.\nAnswer: -7429091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 - 30*v - 40 = 0. Calculate v.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*s + 44 = 0, -s = 4*i - 6*s - 100. Suppose i*a + 63658 = 44*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(6) - (0 + sqrt(147) - sqrt(147))**2) + (1*-1*sqrt(12))**2.\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**8\/560 - g**6\/120 - 10*g**3\/3 + 2. Let p(w) be the third derivative of x(w). Factor p(h).\nAnswer: 3*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-7) + 306\/(-238)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38143 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from ttdxhhhthhhxjxtdhhj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 9. Let n(v) = 1. Let w(q) = 5*n(q) + y(q). Let u be w(3). Suppose -3*c = 2*c + 5*m - 50, 0 = -u*c - 2*m + 35. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636709\/176 less than or equal to 20663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 3*i - 2*i + (4 - 1 - 1)*(3*i + i - 3*i) + 5*i - i - 3*i + 6*i + 4*i - 5*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72878.02t to grams.\nAnswer: 72878020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycqqyccccyqqq. Give prob of sequence yq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -168, -869, -2422, -5157, -9404, -15493, -23754?\n\"Answer: -55*u**3 - 96*u**2 - 28*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7526 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/11 - 20*q**4\/11 - 152*q**3\/11 - 4*q**2\/11 + 534*q\/11 - 360\/11 = 0. Calculate q.\nAnswer: -4, -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 68, 174, 332, 548, 828, 1178?\nAnswer: 1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -120. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 301064, 602204, 903344, 1204484, 1505624?\n\"Answer: 301140*z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(18\/64) - (-1 - 0). Suppose 6*i - i = -3*k + 663, 527 = 4*i - k. Calculate the greatest common factor of i and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/(176\/110)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28116 and 1980?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34046\/4185 - 220\/27. Let h = c - 151\/310. Let p = 0 - 0.1. What is the biggest value in p, -3, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4409*f**2. Let u(j) = 2*j. What is l(u(b))?\nAnswer: -17636*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -204.11093 to 1 dp.\nAnswer: -204.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {k: 12, n: 4, x: 2, h: 2}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 12090000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:08 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -164*j + 181*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -105*u + 3497. Let d be q(33). Which is smaller: d or 36?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-3 - 1)) + (57 - 52).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 748 - 748.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110011100010110 (base 2) in base 4?\nAnswer: -1132130112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/2 - 26373*o**3\/2 + 1797921*o**2\/2 - 1771547*o\/2 = 0.\nAnswer: -26441, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, 4.03, 346, 2 in descending order.\nAnswer: 346, 129, 4.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1207867\/456 - 9298\/57. Let k = z + -2484. Find the common denominator of k and (2 + -132)*(-1)\/(-42).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199704322 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/21, -0.1, 0.2, -0.333, -1\/4?\nAnswer: -0.333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -106 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*u**2 - 89*u**2 - 82*u**2 - 53*u**2 - 83*u**2 + 380*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4785, 4585, 4165, 3453, 2377, 865, -1155?\nAnswer: -3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305038, -5, 2, -2.\nAnswer: -5, -2, 2, 305038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-15)\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33271607610 to the nearest 1000000.\nAnswer: 33272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 22. Suppose -15*w = -14*w - 22. Let b(i) = 2. Let r(d) = w*b(d) + 2*q(d). Let j(c) be the third derivative of -c**5\/12 - c**2. Determine j(r(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by 64.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifiifhhfffiftifii. What is prob of sequence tf?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 10*o + 5. What is the remainder when 311 is divided by c(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 5*x = 0, 4*v + 2*x + 959 - 493 = 490 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -3.528.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-1))\/((-2)\/(-36 - -2)). Suppose 5*n = z + 161, -4*n - x = -5*n + 4*z. Calculate the lowest common multiple of n and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12137.9 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6) - -1)*315\/(-28). Is x at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/7 - 427010*v**2\/7 - 22790697904*v\/7 + 22793687072 = 0.\nAnswer: -106756, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 4*p + p + (p + 1 - 1)*(-5 + 0 + 3) to the form m*p + z and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from mfphmbihhhhhmfhh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -227*a*g*p**3 - 925*a*n*p + 2*a*n - 4*a*p**3 - 2*g*n - 10*g*p**3 wrt g?\nAnswer: -227*a*p**3 - 2*n - 10*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w. Let m(i) = -9*i**3 - 4*i**2 + 4*i + 1. Let p(y) = -6*h(y) + m(y). Suppose 23*f = -6*f + 493. Suppose -f*r + 6 = -11. Calculate p(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t - 7. Let x = -13972 + 13974. Sort 3, t, -12, x in descending order.\nAnswer: 3, x, t, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7327 + 7419. Which is smaller: z or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*i**2 - 122*i**2 - 77*i**2.\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937056 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -5*r + 10, -61 = -h - 2*r - 66 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/6 + i. Let w(y) = 8 - 18*y - 8 - 7*y + 4*y. What is w(p(v))?\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315231 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: Collect the terms in 13*k - 2*k + 5*k + 4*k.\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*p**4 - 264742*g*p**3 + 5*g*p**2 - 985*g*p - 211*p**2 wrt p?\nAnswer: 24*g*p - 1588452*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 6 (c) -94 (d) 1 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 56. Let d = -13 - 5. Let x = b + d. Calculate the least common multiple of x and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, -4, -43, 4\/5 in increasing order.\nAnswer: -43, -4, 0.17, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.47*374202.\nAnswer: -550076.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516*b**3 - 1505*b**3 + 210*b**3.\nAnswer: -1811*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 11 + 13. Let s be 2\/(-8) + (-2)\/(-8). Let g = 2 + 0. Solve -g*n + 4*n + d = s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 85 - 238. Let j(w) = 5*w**2 + 6*w - 8. Let z(u) = -14*u**2 - 17*u + 23. Calculate q*j(m) + 6*z(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26680 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Let l(d) = 5*d + 2. Let a(u) = -15*u - 5. Let j(c) = k*a(c) + 8*l(c). List the prime factors of j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 7*y**2 + 5*y + 7. Let p be u(6). Let n(f) = -10 + 2*f**2 + f**3 - 7*f + 3*f**2 + p. What is n(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j - 2*l - 4 = -84*j + 140*j, 5*j = -25*l + 160 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p + 891*p + 749*p = 226*p - 106642 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.56 - 6. Let z = g + 0.4399916. What is z rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 14 - -9) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -1\/6, 16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 4*f + 7. Let y be x(-2). Suppose 0 = m - y*i + 2 - 15, 4*m + 2*i = -4. Suppose -11 = 5*s - m. Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.21 (b) -0.34 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 + 12 = 0. What is the remainder when 38 is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**3 + 0 - 1 + 2 - 4 wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1003.0955 and -14833167?\nAnswer: 14834170.0955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2926 in -2, -0.3, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/22 and (15\/(-7))\/(112\/(-49)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121040 (base 5) in base 15?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 7. Suppose 3*q - 6 = -a - 2, -5*a = -5*q - 40. Let c be l(a). What is the units digit of (-8)\/2*21\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.64 in 0.17, 1\/4839, 0.4?\nAnswer: 1\/4839","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + 7*b**2 + 8*b - 10. Let c be k(3). Let x be (-28 - -22)*2\/c. Factor 7\/4*n**2 - 1\/4*n - 1\/2 + 3\/2*n**x.\nAnswer: (n + 1)*(2*n - 1)*(3*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -310, -707, -1264, -1981, -2858?\n\"Answer: -80*p**2 + 3*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 4*y - 17. Let n(f) = -f**2 + f - 6. Let t(m) = 17*n(m) - 6*u(m). Let z = 120 + -114. Give t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5\/6 (c) -2 (d) 0.01 (e) 1 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/77121 and -161\/350550.\nAnswer: 3856050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/((-3)\/(-2 + -4)). Find the second derivative of 8*f**3 + f + 0*f**z + 36*f**3 - 1 + 2*f**2 - 4*f wrt f.\nAnswer: 264*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7519+-319057939\nAnswer: -319050420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/42 - 2673\/(-76230).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-19)\/2)\/(1\/2). Let o = b + 31. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13245283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6548786 is divided by 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p*p*p**5)**(-9\/8) assuming p is positive.\nAnswer: p**(-261\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391544.\nAnswer: 2, 298943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-10 - -5)) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1029 - 1024. Sort g, 3, -47 in decreasing order.\nAnswer: g, 3, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -30*x - 4. Let j(s) be the third derivative of s**7\/1260 - 2*s**4\/3 + 5*s**3\/6 + 192*s**2. Let d(y) be the second derivative of j(y). Give q(d(l)).\nAnswer: -60*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from aaizj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 15*h - 478. Calculate the remainder when 5\/15*(3 + -11 + 611) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3370*a**2*b - 5*a**2*f - 25*a*b*f - 2468*f wrt b.\nAnswer: -3370*a**2 - 25*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02435806 rounded to three decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.48 - -0.565.\nAnswer: -55.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6. Let h be (s\/20)\/((-6)\/(-5)). Let a = -22.33 + 22.38. What is the second smallest value in h, a, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385 - -380. Calculate the smallest common multiple of 56 and 125 + (x - -9 - 9).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 2033.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*h**5 + 5*h**4 + 2*h**3 + 101*h + 30 wrt h.\nAnswer: 240*h**3 + 60*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((3861\/(-15))\/13)\/(1\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.922 * 1.843\nAnswer: -49.617246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 6*d**2 + 6*d - 4. Let v be a(-7). Suppose -6*p + 78 = -v*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l + l + 0*l)*(-1 - 2 + 4) + l - 2*l + 3*l + l - 4*l + l)*(-72*l**2 + 38*l**2 - 43 + 31*l**2).\nAnswer: -3*l**3 - 43*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x - 3. Let t be h(-1). Suppose 2*f - t = -3*o, 2*f - 12 = -o - 4*o. Calculate the lowest common multiple of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86879463 to the nearest integer?\nAnswer: 9321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -4, -2\/25, -2\/37, -0.4, 0, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4 - 1231*x**2. Let t(w) = 4*w**2 - 1. Give t(v(r)).\nAnswer: 2304*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7 + 1 - 31*s + 49*s - 8. Let a = -2 + 5. Is 11 a factor of g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49890 divided by -2\nAnswer: -24945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6 - 6*w**2 - w**3 - 2*w + 0*w**3 + 2*w. Let h be m(-6). Suppose h = b - 11. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 8. Which is the biggest value? (a) 3 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -10*c**3 + 8*c**2 - 7. Let w(j) = -29*j**3 + 23*j**2 - 20. Give -6*w(z) + 17*x(z).\nAnswer: 4*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*c + 22, -3*g = -3*c + 33 - 69 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023048043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 3.9, -5\/72 in increasing order.\nAnswer: -2\/15, -5\/72, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 12*s - 12. Determine o(5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302718 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6467 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007406 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-15)\/((-75)\/(-10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 2. Let c(b) = 7*b - 5. Let z(s) = -3*c(s) + 5*g(s). Let t be z(-10). Suppose -2*i = 3*i - t. Calculate the remainder when 24 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 1\/24*f**4 + 0*f + 0 - 3*f**2 - 1\/2*f**3. Calculate w(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 divided by 4?\nAnswer: -401\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.69707071 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/1*(-2253)\/(-9763)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48c52 - -963?\nAnswer: 498b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*w**4*x**3 - 2195*w**4 + 2438*x**3 + 19 with respect to w.\nAnswer: -96*w**3*x**3 - 8780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r + 20 - 44 + 24 + 9*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -728 and 17954.658.\nAnswer: 17226.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 45. What is the nearest to 5 in y, -0.5, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24191 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 - 600750*v - 18045028125 = 0. Calculate v.\nAnswer: -60075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 32*y + 160. Let w be j(-26). Let r(k) = -7*k**2 + 4*k. Let t(i) = 6*i**2 - 5*i. Calculate w*t(h) + 5*r(h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4732*d - 4730*d = -9458*d + 4, 2*n - 5*d - 7 = -0*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/(1\/(-6)). Let s(b) be the first derivative of 5\/4*b**2 + 1\/2*b**4 - 4\/3*b**f - 1\/2*b - 1. Suppose s(v) = 0. What is v?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 15. Suppose h*b + 28 - 68 = 0. Suppose -2*r = -b*z - 336, r - z - 3*z - 160 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 287912\nAnswer: 575824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004698 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.56 and -259?\nAnswer: -663.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042512?\nAnswer: 2, 3, 37, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*p + 9, -2*t - 5*p + 24 - 18 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/407 + 14642\/2035. Let c = v + -113\/15. Let y = -6904 - -6905. Put y, c, 0.25 in descending order.\nAnswer: y, 0.25, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(-1\/4)*g*g\/(g**(-1)*g)*g**(-3)*g**(-4)*g*(g\/g**(-1\/11)*g\/g**(3\/7))\/(g\/(g**1*g))**21 assuming g is positive.\nAnswer: g**(6441\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 13 (c) 0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0*n**4)\/((n*n**(-1\/6))\/n**1)*n\/((n*n\/n**(-2\/3)*n)\/n*n)*n*n\/n**(1\/4)*n\/(n\/(n\/((n\/(n\/(n**(-1\/3)\/n))*n)\/n)))*n**(-4) assuming n is positive.\nAnswer: n**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145737458?\nAnswer: 2, 72868729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7\/105*((-10)\/15 - 1)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (50 - -1) + -30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 5*t**2 - t + 3. Let u(m) = 4*m**3 + 9*m**2 + m - 6. Let i(q) = -3*u(q) - 5*y(q). Is 2 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.61 take away -2602.66982301?\nAnswer: 2601.05982301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1487\/57 - 502\/19. Which is the nearest to h? (a) 1 (b) -4 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-12))**(-4))**(2\/9))**32 assuming y is positive.\nAnswer: y**(1024\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {c: 2, k: 3, a: 1, d: 3, b: 1, r: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 3906*q**3 - 3914*q**3 - 2 - q**2 + 2*q**3 + q**3 - 2*q**3 + (2*q**2 + 0 + 0)*(q + 0*q - 2*q) as i*q**3 + d*q + h + r*q**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 4, 0.87, -0.2, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*y**3 + 3*y - 12.\nAnswer: 1614*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 - 13)\/((-2)\/(-26)). Let q be 3\/2*a\/(-39)*-2582. Suppose 3*u + 9839 = 4*s, -2*s - q + 6204 = 5*u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 8*n = 9. What is the remainder when 25 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 8216 + 4274 + 3942 - 38*r**2.\nAnswer: -38*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/79767435 and -56\/5317829?\nAnswer: 79767435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000113166 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*o - 2215 + 67 = 0, -2*o = -3*j + 2143. What is the highest common factor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 718222*z**2\/3 - 1436426*z + 2154630.\nAnswer: -2*(z - 359105)*(z - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -22. Let l = -15 + y. Let o = 63 + l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15445.8 and 0.065.\nAnswer: 15445.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 2. Let r(n) = -19*n - 13. Suppose p + 3*t + 3 = 0, 0 = 3*p - 5*p + 4*t + 24. Let x(b) = p*r(b) - 39*m(b). Let k(y) = 17*y. What is k(x(s))?\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 103.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Suppose y*v = 4 + 2. Suppose 53990 = v*u - 0*u - 2*w, -3*w = -u + 26985. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7 - 2 = 0. Suppose 4*w + 4 = -4*l, l = -5*w + 2*l - 11. Is q less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 2*p**2 - 1\/3*p**3 + 8*p + 99. Determine o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - 25\/4. Let u = q + 13. Let s = 0.2 - -0.3. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 13*q**2 + 115*q - 515. What is t(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 7*r**2 + 2*r - 55. Determine d(-7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1157 - 7.4?\nAnswer: -1164.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 + 419 - 27*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2976 and -43.7.\nAnswer: -130051.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6\/(216\/110) - (29 - 119570\/4140).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -38*g - 124. Determine l(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112120201222 (base 3) to base 13.\nAnswer: -a0859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0 + 4*d + 0*d**2 + 0*d**6 + 0*d**5 + 1\/4*d**4 + 0*d**3 + 1\/14*d**7. What is the third derivative of y(b) wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a - 6*a + 2268 = 0. Let w be 100 - (-2)\/4*-2. Let k = w - a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.119356 * -0.2\nAnswer: 0.0238712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = -16*q + 2907. What is the greatest common divisor of 2409 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from npkknnkknpknnkkps?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -48, -78, -120?\n\"Answer: -6*k**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {o: 7, y: 1, j: 3, k: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 0, -w - 2*w = -p - 1044. List the prime factors of w.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r - 7. Let x(h) = h**2 + 5. Let m be x(0). Suppose j - w = 0, -40 = 2*j - m*j - 5*w. Is l(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*h + 4*r - 5, -h + 9 = 3*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 83907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10046686 divided by 26.\nAnswer: 386411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 301110?\nAnswer: 301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x - 3 = 0, -5*x + 385 = 4*g. Let j = g + -100. Suppose j = -15*r + 9*r + 42. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49612*l**4 + 8*l**3*r**2 - 70616*r**2 - 11*r wrt l.\nAnswer: 198448*l**3 + 24*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:10 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 - f - 1. Let b(m) = 4*m**3 + 2*m**4 + 4*m**2 + m**4 - 7 - m**4 - 4*m. Let l(c) = b(c) - 4*x(c). Find the first derivative of l(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o**2. Let d(b) = -4*b**2. Give d(f(t)).\nAnswer: -256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = 30*h - 144. Let v = 4.1 - -0.9. Which is the closest to -0.05? (a) v (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*v - 1462, 2*v = 4*x - 2*v - 5816. List the prime factors of x.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966 = -16*z + 1866. Let j = -185 + z. Let r(w) = 4*w**3 + 15*w**2 + 5*w. Let n(g) = 6*g**3 + 22*g**2 + 8*g. Calculate j*r(f) + 5*n(f).\nAnswer: -2*f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32794 - 18484. Is g a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = -4. Suppose -v + 4 = u. Let x(w) = -w**3 - 3*w**2 + 3. Let j be x(-3). Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 3, r: 1, y: 1, m: 5, j: 8}. What is prob of sequence rd?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 9*k**2 + 8*k + 1. Let l be c(8). Let b(p) = 18*p**3 - p**2 + 2*p. Let u be b(l). What is the greatest common factor of u and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**2 + 0*u**3 - 7 + u + 1\/12*u**4. Let o(m) = m**2 + 57. What is o(w(s))?\nAnswer: s**4 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*n = -17, 2*q - 2*n - 11 = -1. Let l be 0\/(-4)*(-1)\/q. Let t be (l\/(-2) - 3)\/(2\/2). Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14203810*f**2 - 17666755*f.\nAnswer: -28407620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*g**3 - 5)*(-71*g + 85*g - 172*g - 129*g) in the form p + i*g**2 + m*g + w*g**3 + o*g**4 and give o.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223409180.\nAnswer: 2, 5, 2659, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 26*g - 19. Let o be y(-7). Solve -o = 10*f + 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4 + (-3 + 0 + 4)*(2 + 1 - 1))*(-r**2 + 0*r + 0*r)*(4 + 6*r**2 - 4 + (r - 4*r + 4*r)*(r + 3*r - 7*r)).\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:21 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m - 5*m - 28316 + 186700. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**5\/20 + 5*y**4\/12 - y**3\/6 - y**2 - 6*y. Give u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*r - 4 = 0, 3*n - 2*r - r = 0. Let l = 0.1024 - 5.1024. Sort l, -2\/3, n, 0.4 in decreasing order.\nAnswer: 0.4, -2\/3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - ((13 - 15) + 7)) + 21?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 326.5151 millilitres?\nAnswer: 0.3265151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - 2*q**3 - 23*q**3 + (-3*q + 4*q + 2*q)*(3*q**2 - q**2 + 0*q**2).\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*j - 2*c, 0*c + 14 = -3*j + 5*c. What is the third derivative of 3*z**j - 4*z**2 - 4*z**2 - z**3 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32278 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*(1 + (-36)\/20). Suppose 6*n = t*n - 12. Let q(f) = -f**n - 4*f - 2*f + 6*f. Let b(h) = -9*h**2. Calculate b(q(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1750000\/(-3))\/(5\/(-60)). What is l rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0 = -4*f - 12, -10 = f - 3*n. Let x(i) = 4*i**3 - 4*i**2 - 2*i**f + 4 - 3*i**3 + 2*i + 0*i**3. What is x(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 - 2*t + 6. Let n be j(-6). Let o = n + -17. Solve -1 - o = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*p - 4, -245*p + 244*p = -5*w + 7. Solve 15 = -o + 4*q - 1, 5*q = p*o + 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*t = -89*t - 0*t - 23200 for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 v, and 1 t when four letters picked without replacement from {p: 1, v: 2, o: 4, k: 1, t: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 5\/25)*5\/(-780)*10\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 9. Let f = 11114.9001 - 11107.9. Let o = c - f. Round o to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 5\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121010020200 (base 3) to base 5.\nAnswer: 40123140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 5*t**2 - 13*t - 11. Let u be r(7). Let j be (19 + -16)*u\/(-18)*-6. Suppose -5*g = -p + 47 + 3, 0 = -3*g - 5*p - 2. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from {e: 7, f: 2, q: 6, a: 1, z: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j**3 - 3*j**2 - 10*j - 7. Give g(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*s - 12 = 45, -3*s + 13 = 2*v. Suppose v*f = 15*f - 20. Calculate the smallest common multiple of f and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aggggaga. What is prob of picking 4 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/42 and -29\/6306.\nAnswer: 44142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-3) + 0)*(-22)\/187. Sort 1\/2, 0.3, j in decreasing order.\nAnswer: 1\/2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 54*w**3 - 1 + 0 + 48*w**3 + (-6*w + 2*w + 5*w)*(0*w**2 + 3*w**2 + 6*w**2).\nAnswer: 3*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 53004105?\nAnswer: -53004124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 - -4634234\nAnswer: 4634231.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 5)*(3*r**4 - 8*r**2 + 8*r**2 + (3 - 2*r - 3)*(-4*r**3 + 3*r**3 + 3*r**3) + 4*r**4 - 3*r**4 + 3*r**4).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 + 1 = 0. Let y be (-12)\/4*f + (-1)\/(-1). Let v be y + 0 + (10 - (3 + -1)). Solve -4*m + v*m = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x. Let l(i) = -5104*i + 16. What is l(k(h))?\nAnswer: -10208*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m = 42. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**3 - 2*z**2 - 3. Let o(u) = 9*u**3 + 2*u**2 + 3*u + 83. Calculate -g(q) - o(q).\nAnswer: -19*q**3 - 3*q - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 18776.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r*r*r**(-4\/3)*r*r)\/r)\/r)*r**(3\/8)*r*(r**1\/r*r)\/r**(2\/7) assuming r is positive.\nAnswer: r**(407\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8592095.73 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1184386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:46 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 + 9*s**2 + 22*s**2 - 45*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81\/25 - 293\/75. Sort i, -7\/2, -17.\nAnswer: -17, -7\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3040079, -6080161, -9120243, -12160325, -15200407?\n\"Answer: -3040082*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/40 + 17*g**5\/30 - 19*g**4\/24 - 766*g**3 - 3872*g**2. Find the first derivative of r(t) wrt t.\nAnswer: -9*t**2 + 68*t - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2059 - -2067. Solve -5*v + s = 2*n, -n = -v - 2*n + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4435*a - 45924 = 51801 - 17895 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -96, -107 in ascending order.\nAnswer: -107, -96, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 + 2632662*h**2 - 2632662*h**2.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32732866 or -32732871?\nAnswer: -32732871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**3 - 14*q**2 - 24*q. Let i(k) = 7*k**3 - 12*k**2 - 22*k. Calculate -6*i(t) + 5*m(t).\nAnswer: -7*t**3 + 2*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 14*r - 18. Let v be x(15). Let n be (3 + v)\/(-2 + 0). Suppose 1\/6*a**2 + n + 1\/3*a = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.7 + -10.1. Let f = a + 1.4. Let w be 1\/6*(-18)\/4. What is the nearest to f in 3, w, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -71. What is the remainder when j is divided by ((-24)\/10)\/(28\/(-105))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -499 - -146. Let r = 201 + y. Let j = r + 151.03. What is j rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5733 (base 11) to base 7\nAnswer: 30656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - n = -2*n - 2, -5*n + 10 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7767, -7768, -7769, -7770, -7771, -7772?\n\"Answer: -a - 7766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:36 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c - 503*c = -10543 - 6414 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = -7 - 83. Let k be 1\/f + (-712)\/(-60). Suppose 5\/3*i**3 + 0 + k*i - 40\/3*i**2 = 0. Calculate i.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l - 24. Let z(u) = u + 16. Let w be z(l). Suppose -w*a = -41 + 29. Solve -b + a*q + 11 = 0, 5*b - 4 - 3 = -q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9253922 centuries to years.\nAnswer: 92.53922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6035.083 micrometers?\nAnswer: 6.035083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -673 - -694. What is the highest common divisor of 1134 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {t: 15, n: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 197. Determine n(-42).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 7. Let i be k(7). Suppose i*m = -m + 3. Find the second derivative of -5*g**3 + 4*g**3 - 2*g - 2*g**4 + g**m wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(3)*-2) + sqrt(3993)*-2)\/((sqrt(396) + sqrt(396)*-3)*6).\nAnswer: 5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/36 - 4\/18)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4088206 divided by -1.\nAnswer: 4088206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5 - 5*s**2 + 3*s - 5*s**3 + 4*s**3 - 7*s + 11*s**2. What is the smallest common multiple of 2 and t(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -316, -628, -940, -1252, -1564, -1876?\n\"Answer: -312*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.054, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -6. Let y be (-4)\/(-2) + (-9 - v). What is the nearest to 0 in y, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-1 - 10\/(-8)). Let i be 60\/(-84)*(-2)\/(-5). Which is the third smallest value? (a) i (b) d (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -21*q + 24. Let a(x) be the first derivative of 11*x**2 - 25*x - 8. Let n(y) = -5*a(y) - 6*i(y). Find the first derivative of n(u) wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3744, 3627, 3316, 2715, 1728?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 1:40 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - t**2)*(0 + t + 0 + 4*t - 5*t + 4*t + (-1 + 1 - 2)*(5*t - 4*t - 2*t) - 2*t + 0*t + 4*t - 2 + 2 - 2*t - t + 1 - 1).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 p when three letters picked without replacement from ppqpn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 5*k + 8 = 4*q, 5*k - 4 = -q. Suppose -4*w - 3*v - 12 = -0*w, 2*v = -2*w - 6. Let b = w - q. Is 3 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298778 equal to 298775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3809 - -3833. Which is bigger: p or 308\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 23 + 5*y**2 + 18*y**2 + 3*y**2.\nAnswer: 26*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 - 5042 - 26*l**2 + 5042.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (228\/(-30))\/(1\/(-60)). Suppose 0 = -5*r + 4*y + a + 117, 2*r + y = 224. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -2\/15, -1801?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) 1\/2 (c) -1 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -38*z**3\/3 - 1442. Let q(n) = 31*n. Determine i(q(v)).\nAnswer: -36518*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 - 2 + 5 - 7 - 2*a**3 - 4*a**3 - 5*a**2 - a to the form c*a + n*a**3 + j*a**2 + y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*sqrt(11) + 3 + 1.\nAnswer: -6*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3276\/(-14)*(4\/(-6))\/((-292)\/(-219)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -234.\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 5*g**2 + 10*g + 9. Determine m(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32b79 - -289?\nAnswer: -328b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29579 + -1242377\/42. Find the common denominator of (-1794)\/10296 + 6\/24 and h.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 255626710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sevenths of a week in days?\nAnswer: 23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -30, -71, -128?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -14*f**2 - 6*f - 20. Let a be j(-1). What is the second derivative of 20*c + 22*c - 42*c + 3*c**2 + a*c wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let g(x) = -2*x + 7*x + 5*x + x. Determine g(z(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/sqrt(2)*1 - 2*(sqrt(32))**2*-2.\nAnswer: 5*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/((-940)\/120))\/(6\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(495) + 2*sqrt(495)*-2)\/(5*2*sqrt(11)) + 1)*1 + 2.\nAnswer: -9*sqrt(5)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 - -2.78. Let k = n - 1.95. Round k to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 8*z - 153. Suppose -z*j + 298 = -8*j. What are the prime factors of j?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 2, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.95373 months in millennia?\nAnswer: 0.0033294775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*60\/15. Solve -o - 11 = -5*u, z*u - 4*u - 14 = -5*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -1, -3, -2, -106?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g**5 + 10*g**2 + 0 - 1\/120*g**6 + 7\/6*g**3 + 0*g + 0*g**4. Differentiate l(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdddldldss. Give prob of sequence ssld.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - r + 0*r + (0 + 0 + r)*(0 - 6 + 10))*(-202 + 106 - 278) to n + h*r and give h.\nAnswer: -2244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -1a90?\nAnswer: -1a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38076, -74115, -110154, -146193, -182232, -218271?\nAnswer: -254310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 12:51 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/4))**(4\/9)*g\/(g*g**(1\/18))*g**(1\/6)*g)**(-4\/11))**(-19) assuming g is positive.\nAnswer: g**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - -0.04581425\nAnswer: 0.19581425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - sqrt(42))\/sqrt(6) - (sqrt(560)\/sqrt(5) + sqrt(7) + sqrt(7))) + -4.\nAnswer: -5*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-457945)\/16404 + 2\/(-24)*1. Sort 4, h, -129 in decreasing order.\nAnswer: 4, h, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + -25 + 31 - 19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3\/10)\/(6 - 198\/44).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, 0.068?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4142)\/1045 + (-175)\/275?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2598 and 1299?\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223 + -225. What is the nearest to -1 in 2\/5, 0.32, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229486 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 24*v**2 - 361*v + 10736. Determine k(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2713864 and -41\/1116.\nAnswer: 24424776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13480, -26936, -40392, -53848, -67304, -80760?\n\"Answer: -13456*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 8*l**2 + 19*l. Let y = 11365 - 11375. Give g(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 64*u - 39. Calculate the remainder when 93 is divided by p(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 - 2*h**2 - 5*h - 5. Suppose -8 = -3*p + 1. Let x(t) = -5*t**3 + 2*t + 5 + 1 + p*t + 2*t**2 + t. Calculate -6*c(u) - 5*x(u).\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67029 + 76415 = 7*b. List the prime factors of b.\nAnswer: 2, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 5:26 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -0.4, -0.3, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 - 78*a**2 - 162*a - 82 = 0 for a.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -243*o**2. Let s(j) be the second derivative of -j**3\/3 + 4*j - 132. Calculate s(d(x)).\nAnswer: 486*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - 4.91. Let r = -25.5 - -20. Let s = 1.5 + r. Which is the second biggest value? (a) 1 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 25\/18*x**3 - 13\/6*x**2 + 0 - 16*x + 1\/18*x**4. Suppose i(o) = 0. What is o?\nAnswer: -13, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1\/2))**(-3\/43)\/((w*w\/w**(2\/3))\/w**2)*((w\/w**4)\/((w\/((w**(-5\/4)*w)\/w*w))\/w))**(-38) assuming w is positive.\nAnswer: w**(15995\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*6\/276)\/(2\/4)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-3)*(7 - (-161)\/(-35)). Let c = -6 - 13. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:39 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1445*q + 339. Is b(-80) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*w + 2001 = 237*w. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17353672 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171008882?\nAnswer: 2, 11, 17, 29, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -238, -247, -258, -271, -286, -303?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11848 and 11483674?\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12581 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -10\/451, -10?\nAnswer: -10\/451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30259 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - 61. Let b be (-14)\/(-1)*(-36)\/x. Suppose -4*f - j + 25 = 0, -2*j = 5*f - b - 28. What is the lowest common multiple of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70c26 - -5?\nAnswer: -70c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 + 2*c. Let w be 12\/(-9)*(3 + 0). Let l be j(w). Let s = -8 - l. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6672.024 kilograms?\nAnswer: 6672024000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 789575, 1, -4 in ascending order.\nAnswer: -4, -1, 1, 789575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13b1e (base 15) in base 8?\nAnswer: -173426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -219978 or -219976?\nAnswer: -219976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210100212 (base 3) to base 13.\nAnswer: -7121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19919, 19925, 19949, 20003, 20099, 20249, 20465?\n\"Answer: 2*c**3 - 3*c**2 + c + 19919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464212814 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18042636 or 18042633?\nAnswer: 18042633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -13. What is the closest to 2\/5 in b, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**2 - 4*f. Suppose -5*t - 25 = 3*n - 3*t, 0 = -5*t - 25. Let q(w) = -18*w**2 + 5*w. Give n*v(u) - 4*q(u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 37*v = -11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.55 and -1.73?\nAnswer: -2.6815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011111111000011 (base 2) in base 15?\nAnswer: -23e6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -162, -441, -876, -1491, -2310?\n\"Answer: -4*c**3 - 42*c**2 + 7*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -111100010?\nAnswer: 111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 - -2.4. What is the second smallest value in -2, -5, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 7*r + 23. Let a be c(8). Suppose -3*w - 3608 = -5*p, -5*p - a = -4*w - 3827. Suppose 1037 = 3*m - p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-80)*(-24)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + -67. Let o = w - 35. Suppose -o*g = -0*g - 279. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((3\/(-5))\/(-3)). Let u(g) = -g**3 - 6*g**2 + 6*g - 1. Let b be u(-7). Suppose -b = 5*o - 1. Sort o, 2, x in decreasing order.\nAnswer: x, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 - 2.37. Which is smaller: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**2. Let g(u) = 368*u**2 - 2*u - 1. Give -3*a(c) - g(c).\nAnswer: -392*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3231\/4 + 825. Let u be 2500\/10*52\/(-30). Let a = u - -450. What is the common denominator of y and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -70 (b) 2\/3 (c) -35 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -312.\nAnswer: 7\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.25 - -7. Let h = j + 0.05. What is the nearest to -0.1 in 2\/9, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1\/5)\/x)*x*x*x*x*x**(1\/9))**(2\/121)*x**(-7)\/(x\/(x*x**6*x)*x)*(x\/x**(-3\/2))\/x**(2\/9) assuming x is positive.\nAnswer: x**(5017\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571949 is divided by 5329.\nAnswer: 5223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146524972 to the power of 1\/3, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -23, -2, -5 in decreasing order.\nAnswer: 4, -2, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -527783251926 - 4\nAnswer: -527783251930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-198)\/21)\/(-3) - (5 - 2). Suppose 0 = -0*l + 4*l + 16, 3*w - 14 = 2*l. Suppose -w*y = 2 - 0. Sort -2, y, -2\/3, m in decreasing order.\nAnswer: m, -2\/3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 3*n**2 + n + 1. Let g be s(-2). Let p = 11 + g. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:44 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/3)\/((-24)\/36). Let v(i) = -i**3 + 4*i**2 - 2*i - 1. Let p be v(a). Solve 2*f + 5 = -y - 1, -20 = p*f - 4*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 5*g + 4. Let z be y(-4). Suppose 4*j + 7*w - 5 = 2*w, z = -4*j + 3*w - 35. Sort j, -7, -3 in decreasing order.\nAnswer: -3, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let g(h) = -3*h + 5. Let t(u) = -5*c(u) - g(u). Let i(f) = -f. Determine 12*i(k) - 5*t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*a - 11 = 0, -3*a - 7 = 5*p + a. Suppose -d = 2*l - 6*l + 4, 5*l + 15 = 0. Calculate the common denominator of (-10)\/d - -1 - 2 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -218*o + 215*o + 2796. What are the prime factors of o?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 0*p - 1 + 3 - 2*p**2 - 4*p. Let b be 3 - (210\/50 - (-16)\/20). Determine k(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141532*c = -141329*c + 12542 + 3495 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 30 = 14. Solve -i = -3*i + x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/3)\/(((h*h**(-1\/4))\/h)\/h)*(h\/(h*h*h**(6\/11)*h)*h)\/h*h**(-5\/3)*h assuming h is positive.\nAnswer: h**(-101\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 39*v - 242. Is m(13) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.2 (c) 3\/4 (d) -73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - -118. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + -29 + 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 2. Let y be w(6). Let t = y + -12. Suppose -2*k = h - t, h + h = k - 2. Solve 20 = 5*g - h*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15845856 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 86176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 0 (b) -2\/9 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(36)*1)\/sqrt(12).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**2 - 6*s + 85. Let t(q) = -9*q**2 + 4*q - 85. Determine 4*t(u) + 3*y(u).\nAnswer: -3*u**2 - 2*u - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -4\/5 (c) 2\/1385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3753, 3715, 3649, 3543, 3385, 3163, 2865, 2479?\n\"Answer: -2*v**3 - 2*v**2 - 18*v + 3775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 60*j**3 - 136318*j**2 + 136318*j**2 - 1.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 218, 436, 650, 860?\n\"Answer: -2*v**2 + 224*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - -2*sqrt(38))\/sqrt(2)*2*-5.\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17088 and 15664.\nAnswer: 187968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*m - 30 = 0, 132*m + 52 = 2*s + 130*m. Solve 0*d = -s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 8, j: 4, p: 2, q: 3}. What is prob of picking 1 i, 1 q, and 2 l?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*d + 186 + 49 = 0, 223 = -3*m + d. Let p = -54 - m. What is the highest common divisor of 76 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3. Let c = 12 - 5. Suppose -c*t + t = 18. Let a(f) = -f + 5. Let d(p) = t*a(p) - 5*w(p). Give d(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1225*f + 261. Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 44*n**2 - 10615*n - 222025. What is q(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41303?\nAnswer: 103, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(108) + 0 - sqrt(108))*5)**2 + (4*(1 + sqrt(108)) + -4*2*sqrt(108) + sqrt(108))**2.\nAnswer: -144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/(-39) - 84\/(-364)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4781842*h + 4781842*h + 267*h**2.\nAnswer: 267*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f + 5 - 5*f - 11*f**2 + 0. Let o(r) be the first derivative of -16*r**3\/3 - 7*r**2\/2 + 7*r - 78. Give 7*n(a) - 5*o(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 15 - 4 - h**2 - 7. Give t(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640111 is divided by 2133.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -343 + -4.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 2*a**2 + 3*a - 1. Let j be b(2). Suppose -j = -4*z + 19. What is the greatest common factor of 36 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004367 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.21 + -0.01. Round k to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54 - 70) + 24\/4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1194.8 - -1194. Which is the third biggest value? (a) f (b) 5\/4 (c) -3 (d) 1\/6 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16613.543 rounded to the nearest one hundred?\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 3. Let y = -326 + 328. Let z(q) = -5*q + 1. Let b(v) = -8*v. Let j(c) = y*b(c) - 3*z(c). Determine 3*j(m) + 4*r(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005019951 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*o + i, -i - 57 + 17 = 4*o. Let t = -2 - o. What is the remainder when 34 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.9 + 0.3\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/30)\/(3 + 11\/(-3)). Let g = -0.1 - 3.9. Which is the biggest value? (a) g (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11976272 divided by -16?\nAnswer: -748517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 6*y - 5. Let u be ((-1)\/(-2))\/(2\/16). Let h be f(u). What is the tens digit of 1 + -4 + 12*h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/1050*12\/((-36)\/(-12))*28\/(-96)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19115, -38027, -56945, -75869, -94799, -113735, -132677?\n\"Answer: -3*d**2 - 18903*d - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/11 + ((-7)\/(-3))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 25. Let p = -31 + j. Is (1\/2)\/(p\/(-1568)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -904725*w**4 + 1165038?\nAnswer: -3618900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 a when four letters picked without replacement from nnaaaannaa?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 20*x + 6. Suppose 4*q = 184 + 368. Calculate the remainder when q is divided by r(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = -3*g, -8 = -3*g + d - 1. Let a(y) = -2*y**2 + 12*y. Let o be a(-6). Let b = o - -144. Solve z - 3 = n, b = g*n - 4*z + 4 + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/17 + 6776*y\/17 + 41302.\nAnswer: 2*(y + 107)*(y + 3281)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/((-3)\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 + 1 - 10*u - 1 + 11*u. Let d be f(7). Let m be 3\/1*5\/3. Solve 0 = m*q - 2*g + 6, -4*q + d*g = 5*g + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.67 + -0.67. Let l = 1.3 + -0.3. What is the third biggest value in 0.04, l, p?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21990 and 30?\nAnswer: 21990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6906400?\nAnswer: 2, 5, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 109. What is p(5)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*u**2 - 56*u**2 + 34*u**2 to a*u + o + p*u**2 and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 5*n + 20*y - 2397, 2404 = 5*n - 4*y. What is the highest common factor of n and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1610106 (base 7) to base 6.\nAnswer: -4422523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*o + 70 = 259*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2707699 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -58*a - 3. Let n be z(-1). Suppose -3*h + 12 = 0, 73 = 2*f + 2*h - n. Let p be (225\/f)\/((-6)\/(-8)). Solve 6 - 1 = -p*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.041 + -0.105. Let h = 4.984 + w. Let y = 0.08 + h. Sort 1, 0.1, y, 0.5 in decreasing order.\nAnswer: y, 1, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + 0*q**2 - 9*q**2)*(4*q - 2*q**3 - 4*q) + q**3 + 2*q**5 - q**3.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:44 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 3) to base 5\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1392306 or -1392324?\nAnswer: -1392324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 2. Let m be i(-3). Let g(x) be the second derivative of x**4\/12 - 2*x**3\/3 - 5*x**2\/2 - 2*x - 7. Is 8 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6732925 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5553*y = -5573*y + 100 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**13*(s*s**(1\/4)\/s)\/s)**(-13\/3))**(2\/43) assuming s is positive.\nAnswer: s**(-637\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 11, 24, 37, 50?\n\"Answer: 13*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/9 - 103533320*x\/9 + 2679787087555600\/9.\nAnswer: (x - 51766660)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 191*q - 9. Let y(s) = -190*s + 7. What is -3*x(f) - 4*y(f)?\nAnswer: 187*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Give s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 24 = 4*a. Let m be (-29)\/a - (-4)\/(-18). Solve m = -t - r, 5*t + 21 = -4*r + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 676*q + 186254 = 680*q, 0 = -4*q + 8. List the prime factors of x.\nAnswer: 2, 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -9) + -39 + 21 + (-1 - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -2329, 1\/4, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1466 * 0.3.\nAnswer: -439.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/50 + (-5 - (-11 - (-604464)\/(-175))) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -8*t + 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = 84 - 48 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131214891 greater than or equal to 131214891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72088 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.1930483 rounded to two decimal places?\nAnswer: 197.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 5\/((-20)\/(-8)). Suppose 4*h = h + 30. Suppose 0 = -0*d - 5*d + h. Is d <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -666 - -668. Suppose 0 = -4*w + 2*y + 91 - 17, 31 = w + h*y. What is the greatest common divisor of 357 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -2\/4529, -2, 1.8, -1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = 13*o - 1012. Let i(s) = -2*s**2 + 49*s - 110. Let k be i(o). Let -3*t**4 - 3\/2*t**5 - 3\/2*t**3 + k*t + 0 + 0*t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3523450 is divided by 703?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnhjknkknjk. Give prob of sequence nk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 106*c - 123*c. Sort 129, c, -2.\nAnswer: -2, c, 129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/9 + 481480*c\/9 + 481477\/3 = 0.\nAnswer: -481477, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*t = -170*t + 33. Solve t*x - 5*a = x - 5, -4*a = -x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 8 = 4*p, 461*p - 463*p + 3*b + 14 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 3*q**2 + q - 4*q + q to the form p + x*q**2 + n*q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-252))\/((-4)\/(-12)*6\/(-7))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*a**3 + 20*a**3 - 13*a**3 - 4*a**3 + 299 + 35*a**2 wrt a.\nAnswer: -18*a**2 + 70*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -59, -6\/11, 9, -65?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k**2 + 4*k**2 + 3*k**2 + (0 + 2*k + 0)*(0*k + 2*k + 0*k) - 2*k**2 - 3*k**2 + 3*k**2)*(-460 + 882 - 489) to the form i + l*k + o*k**2 and give o.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 179535470 divided by -144670\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 3. Let d = -14 + j. Suppose 3*r - d = 34. Calculate the remainder when 37 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798129723 to the power of 1\/3, to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.062*-30\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 512443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31006.\nAnswer: 2, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {c: 1, b: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -22853 greater than or equal to -33213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -16, -6, 8, 26, 48, 74?\n\"Answer: 2*g**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 247 + -251. Let d = 0.3 - 0.1. Put d, -0.4, w in increasing order.\nAnswer: w, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73b9d (base 14) to base 9\nAnswer: -465277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 862*n - 50. Let s be b(3). Let a = s - 1760. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28767214*c**2 + 122992240*c wrt c.\nAnswer: 57534428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 21. Let r = 178 - 157. Let t be d(r). Solve t = x - 4*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 6*x**2 + 17*x + 9. Let p be i(-8). Which is smaller: 10\/13 or p?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*j**5 - 8 + 0 - 36*j + 8 wrt j?\nAnswer: 720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 + 10 = 0. Suppose 2*p - 28 = 3*d - 81, 3*p = y. Let t = d - 12. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99))\/sqrt(9) - (-5 + sqrt(44)\/sqrt(4)).\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -288, -274, -240, -180?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2735739 and -0.03?\nAnswer: -82072.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.1, -3.043, 51, -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.863 - 8.763. Which is the nearest to h? (a) 128 (b) 1 (c) 3 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 257825\/108 + -26260\/11. Calculate the common denominator of b and -13\/72.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -124 - 100*b + 36*b - 43*b. Let z be x(-3). What is the smallest value in 4\/5, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -40, -2 in decreasing order.\nAnswer: -2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500.9999985 - 501. What is j rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 24 = 0, -w + 4*p - 40 = -10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 - 2008482*m**2 + 2008482*m**2.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.374913 to one dp.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 18*o + 5. Let n be w(9). Factor -89*l + 4 - l**2 + 81*l + n*l**2.\nAnswer: 4*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547847991.\nAnswer: 3, 73, 463, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 21*j - 9. Is o(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/2 - 6*q**4 - 459*q**3\/2 - 1215*q**2 = 0. Calculate q.\nAnswer: -9, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84900265 by 1487.\nAnswer: 57095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7155 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 7 (b) 798 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20170 is divided by 916?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17025, -5, 2.\nAnswer: -5, 2, 17025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*g + j, 4*g - 326*j = -321*j - 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68263500*m**3 + 189966209*m**2.\nAnswer: -409581000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -76*u**3 - u**2 - 154*u - 3. Let b(o) = -28*o**3 - 52*o - 1. Calculate -11*b(v) + 4*j(v).\nAnswer: 4*v**3 - 4*v**2 - 44*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 5440?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1476 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424623.8 nanograms in tonnes?\nAnswer: 0.0000000004246238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1910914642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w**1))\/w))\/w)\/w**(5\/2)*w**(3\/7)*w\/(w\/w**(-1\/16)) assuming w is positive.\nAnswer: w**(-15\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -317723 in decreasing order.\nAnswer: 5, 3, -317723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - 5*z + 4 + 143*z**2 - z - 265*z**2 as c*z + i*z**2 + f and give i.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.439? (a) 1\/5 (b) 2 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + a = -19*z + 4, -2*z + a = -23. Suppose 3*i = 4*s - 29, 0 = 2*s + s - i - 23. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*m + 155 = 0, -346*d - 5*m = -348*d + 62. Solve -d*v + 33*v + 25 = -3*z, 3*v - z + 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(21\/(-126))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13 = -8. Suppose 1775 = 4*a + i*d, -4*a + 305 = -3*d - 1478. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) - (-6)\/21. Which is the nearest to 1\/3? (a) 2 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -6 + (-7 - 1) + 12734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5629*y = -5626*y - 3*x - 54, y + 8*x = 6*y - 102 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 20*i - 19 = -21*i, 0 = -2*a - 7*i + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*m**3 + 1467*m**3 - 3124*m**3 - 1723*m**3.\nAnswer: -4188*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 7*g - 39. Let i(f) = 2*f - 10. Give -22*i(d) + 6*j(d).\nAnswer: -2*d - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - w)*(4 - 4 - 1) + (2 + 2 + 0)*(0 + 4 - 3)*(-2*w + w + 3*w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 11*u**2 + 11*u + 3. Let k be z(-7). Suppose 5*t - 10 = 1045. Let a = t - k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -616, 16, -27, 3 in decreasing order.\nAnswer: 16, 3, -27, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -50. Suppose 125 - c = 6*x. Solve 0*h - x = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/((-12)\/(-574)))\/(1\/(-6)). Suppose -3*d = -69 - b. Suppose 3*s - 173 = d. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3 + 16*t - 4*t**2 + 3*t**2 - 14*t. Let g be x(-2). List the prime factors of (-1 - g)*1 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151832, -607303, -1366422, -2429189, -3795604, -5465667?\nAnswer: -7439378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21847, 21843, 21837, 21829?\nAnswer: 21819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122677230 + -2?\nAnswer: 122677226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 3*l**2 + l + l**2 + 2*l**2 + 1. Suppose -3*a = 2*k - 11, k = -3*a - 1 + 11. Let c(s) = -7*s**2 + 5*s + 6. Calculate k*c(q) - 5*v(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32090380 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*b**2 - 178432 + 178432.\nAnswer: -718*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27322)\/5852 - (-6)\/4. Let i = 26\/7 + y. Let n = 1.1 + -0.1. Sort i, 4, n in decreasing order.\nAnswer: 4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 + 32*n**4 - 36*n**3 - 232*n**2 + 656*n - 480.\nAnswer: -4*(n - 5)*(n - 2)**3*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*v - 5*v + 2*b, 0 = 3*v - 4*b - 12. Let c(w) = w**2 + v*w**2 - 5 - w + 13. Suppose q + 5 = -k, 20 = -4*k - 0. Determine c(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p = -6. Let v be -6*(-2)\/((-6)\/(-1)). Suppose -4*j - 29 = n - 4*n, -13 = -n + v*j. Which is smaller: p or n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572878?\nAnswer: 2, 107, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211112121 + 11?\nAnswer: 12211112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71858571*f**3 - 69505*f**2 + 604*f?\nAnswer: -431151426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 - 2774*c + 1186 - 387 - 399.\nAnswer: -2774*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 38*z + 184.\nAnswer: -2*(z - 23)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(72)*-1 + 1 + -2)**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12. Suppose d - 6*d + 5 = x. Is d less than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13820, -54879, -123272, -218993, -342036, -492395, -670064?\n\"Answer: g**3 - 13673*g**2 - 47*g - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 16*z**2 - 8. Let a(h) = -2*h**2 - 4*h + 1131. What is a(w(i))?\nAnswer: -512*i**4 + 448*i**2 + 1035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/6)\/(35\/(4200\/(-40))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -260, -367, -460, -539, -604, -655?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 677 + -383. Let z = -124 + b. Calculate the lowest common multiple of z and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -49*o**2 - 66238*o. Let i(s) = 10*s. Give i(h(y)).\nAnswer: -490*y**2 - 662380*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 + 3*d - 1. Let l be z(1). Solve x - 12 = 4*u + l*x, 5*x - 35 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2780683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -188*157\nAnswer: -29516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 80 - 41)*(2 - t - 2) + 3 - 3 - t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Let q(s) = s**2 - 16*s + 18. Let k be q(17). Let p = 29 - k. Which is the smallest value? (a) o (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:19 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -n + 23, -16032*n = 8*z - 16022*n + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + r**2 + r - 1. Let k be y(1). Suppose k*a + 1 = 7. Find the third derivative of -2*z**a + 3*z**2 - 2*z**5 + 0*z**2 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 2. Let f = 0.1 - 0.4. Sort t, f, 2 in increasing order.\nAnswer: f, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*u + 5479056 - 5479056 - 11*u**2 in the form p*u**2 + m*u + g and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (1 + -8))\/(6\/(-231)). Let v = -10406\/27 - q. Calculate the common denominator of v and -5\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 + d**3 + 52*d**2 + 44*d - 96 = 0. Calculate d.\nAnswer: -6, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g + 1\/8*g**4 - 6 + 36*g**2 - 4*g**3. Let a(f) = 0. Calculate f.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 5. Let u be 10\/(-5 + (-6)\/(-2)). Calculate s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3)*((5*n + 9*n - 12*n)*(0 - 1 + 0) - 8*n - 3*n + 0*n) as u + o*n and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-8) + 3\/4. Solve n + g + 0 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 2*x + 2, 0 = -5*x - 10. Let d(m) be the second derivative of -2*m**3\/3 + 2*m**2 + 5*m. List the prime factors of d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*a + 2*b, 0 = 4*a - 0*a - 3*b - 13. Suppose 6*d - a*d = -2. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -164, -231, -278, -299?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*k + 6 = 0, 0 + 6 = -4*b + 3*k. Solve -4*z - u - 13 = b, 5*u = -3 - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gaffflgaslafgsgafag. Give prob of sequence asll.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 1384845424?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 310 - 305. Let o be (-129)\/(-165) - 3\/r. Let i = -1.99 - -2. What is the fourth smallest value in i, o, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734309 is divided by 21196.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 4\/9 (c) 0.11 (d) -19 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(11\/4)*r*r\/(r**(-3\/10)\/r)*r)**(8\/5)\/(((r\/r**(1\/7))\/(r**2\/r))\/(r*r\/((r*r**(-8))\/r)*r**(-2))) assuming r is positive.\nAnswer: r**(3399\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 19*n + 8. Calculate r(17).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 15292*j\/9 - 4294736\/9.\nAnswer: -2*(j - 7354)*(j - 292)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwrowewm. Give prob of picking 1 o and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 11*g**2 - 5*g. Let l be s(10). Suppose -t + 100 = 4*v, 2*v - 4*v + 3*t + l = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9880 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 3*u**2 - 2*u - 3. Suppose -4*g + 8 = 3*r - 3, -5*r + 26 = -g. Let l be 0\/(-3 - (g + -1)). Suppose -5*q + 0*q - 15 = l. Give a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-440)\/153) - 41\/(15170\/111)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -72. Let n be l*1 + (20\/2 - 2). Suppose n*c = 2*c + 4*v + 364, -5*c + 355 = 5*v. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2188*c**3*w*x - 395*c**3 + 3*c**2*w + c*w*x + 2*c*w + c*x - 6*c wrt x.\nAnswer: 2188*c**3*w + c*w + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(40) - sqrt(280)\/(sqrt(14)\/sqrt(2)))\/(sqrt(512)*2*-4)*-1.\nAnswer: sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -15\/2*l**2 - 9\/2*l**3 + 3\/2*l**4 - 3*l + 3\/2*l**5 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -0.4, 258646, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 3*q**2 + 4. Let j be c(-3). Suppose 3*a = 2*l + 2, -l + 8 = 5*a - j. Find the first derivative of 0*f + l*f**3 - 5 - f**3 + 0*f wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -46*m - 322. Let n be w(-7). Solve -6*k = -n*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 + 2.4. What is the nearest to i in -4, -5\/2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.0057\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttw when four letters picked without replacement from {t: 4, w: 10}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118*t + 2*w - 44 = -1126*t + 2246*t, 0 = -2*t + 16*w - 338 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 34, -0.258, -3, 1\/5, -2\/31 in descending order.\nAnswer: 34, 1\/5, -2\/31, -0.258, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3154 + 762421?\nAnswer: 765575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.56 - -0.44. Let t = -20.05 + g. Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34096 by -2.\nAnswer: 17048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-6 - 0) + 1 + 14 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -10. Let l = i - -3. What is the second smallest value in -0.1, -3\/5, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -597 - -537.8. Round x to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 5. Let o be k(-5). Let y = -7939 + 7927. Is y > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 579 - 301 - 3273*f - 278. Let y(w) = -2*w**2. Give y(l(o)).\nAnswer: -21425058*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 47, -1645, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*n - 23*n + 6*n)*(91*n - 202 + 202) to the form b + q*n**2 + y*n and give q.\nAnswer: -3822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 4*b**2 - 7640 + 7640.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-92 + 66 + 37).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 19. Let a be x(7). Suppose 3*b - i - 1 = 5*b, -4*b - 3 = 3*i. Suppose b = 2*j - 3 - 9. Calculate the greatest common divisor of a and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3 - 2. Suppose -u*d = -x + 4*x, -5*d = -5*x. Is -2\/19 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(250) + sqrt(250) + sqrt(250))\/sqrt(5) + sqrt(50))\/(-1*(sqrt(10)*1 + sqrt(10)) - sqrt(10)) + 5 + 3 + sqrt(245) + 1*sqrt(245) + 0)**2.\nAnswer: 592*sqrt(5)\/3 + 7421\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -519 + 519.06. Let w = 12 + -11.76. Let c = w + o. Put -2, c, -13 in descending order.\nAnswer: c, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*h + 36. Suppose -t + 0*v = -v - 100, 2*v = 0. Suppose 2*u + t = 6*u. Calculate the remainder when u is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*t + 30 = 0, -t + 3*t + 35 = a. Suppose 6*j - a = j. Suppose 0 = 2*d + n - 17, 32 = 3*d - j*n - 0*n. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268\/(-13266)*66 - (-44)\/48*2\/4\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 10. Let a be m(-8). Suppose 0*z + a*z = 4. Differentiate 6*s + s**3 - 6*s + z wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(48)\/sqrt(4)))\/(sqrt(6)\/sqrt(2)*-1) + (sqrt(25)\/(sqrt(10)\/sqrt(2)) - (sqrt(80) + sqrt(5)))*1.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(88)*-1 - 3*sqrt(88)*-1)\/(3*(sqrt(128) + sqrt(128)*2)*-3))**2.\nAnswer: 11\/11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -0.02 (b) 0.3 (c) 4 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4720 and 38232.\nAnswer: 382320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 33. Let m be -5*3\/g*-2. Suppose 5*s = 3*t - 45, -3*t - m*s + 5 = -10. Solve 0 = -3*y - 5*d - 13 + 2, -2*d = 4*y + t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18518, -18513, -18508?\n\"Answer: 5*o - 18523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377801 = 438*y - 17842613. List the prime factors of y.\nAnswer: 2, 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i*u**2*y**3 - 86*i*u**2*y - i + 2*u**2*y**2 - 2*u**2*y + 2*u**2 - 55*u*y**3 with respect to i.\nAnswer: 7*u**2*y**3 - 86*u**2*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 11*p**2 - 18*p + 248. What is b(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -80. Suppose 0*a + 9*a = -f. Put 2, -1, a in decreasing order.\nAnswer: 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 1 + (2 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76900 and 2300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6611 + 37851 = 1034*c - 25908 - 10062 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-3))**(-49) assuming i is positive.\nAnswer: i**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q - 26. Give r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -2.405095\nAnswer: 0.481019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 21.8 (b) 1 (c) -3 (d) 15 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**5 - 17761770*j**4 - 4*j**3 - 488*j**2 - j + 125907 wrt j?\nAnswer: 240*j**2 - 426282480*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (600\/45)\/((-12)\/1890*-70).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 4*u - 208, 0 = 2*q - 4*u - 132. Suppose m = 6*m + c - 83, 4*m = -4*c + q. What is the least common multiple of 14 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((985\/(-2955))\/((-1)\/204))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 167 and 9383.\nAnswer: 1566961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 152?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 489454 to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -4 (c) 1 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12301121223 (base 4) to base 14.\nAnswer: -342d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:57 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324717421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48585*h**3 - 81*h - 22179706.\nAnswer: 145755*h**2 - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = 3 + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 509 + 0. Let g = z + -187. Does 46 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cch when three letters picked without replacement from crrrchrchqhqhhr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.3 + 12. Sort a, 3, -2\/7 in ascending order.\nAnswer: a, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-9))\/(60\/(-450)). Let l be 82\/10 - (-1)\/i*-1. Let v(d) = d**3 - 9*d**2 + 10*d + 5. Determine v(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2394 and 405986.\nAnswer: 69423606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46454, 46450, 46444, 46436, 46426?\nAnswer: 46414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2. Let g(t) = t - 1. Let i(o) = 3*o**2 - 5*o + 3. Let p(r) = 5*g(r) + i(r). Give x(p(h)).\nAnswer: -9*h**4 + 12*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 549*d + 137 = 0. What is d?\nAnswer: 1\/4, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - (-28 + 672\/(-32)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/6*10\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6710.6?\nAnswer: 6708.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/3 + 92*p**3\/3 - 206*p**2 + 332*p\/3 + 1040\/3 = 0. Calculate p.\nAnswer: -52, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*a**6 + 6*a**3*w**2 + 2*a**2*w + 2*a - w**2 wrt a?\nAnswer: 11520*a**3 + 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*u**2 + 325*u**2 - 215*u**2 + 20113*u**3 - 20111*u**3.\nAnswer: 2*u**3 - 80*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - -5*(sqrt(114) + sqrt(114)*2)))\/(-5*sqrt(486)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-10) + 72\/10. Let j(c) = c - 5. Let x(k) = 1. Let g(s) = j(s) - 2*x(s). Let m be g(t). Solve 0 = 3*d + m + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-18)*-3)\/((-2)\/12). Suppose -k*v = -5*v + 6. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/115*(-5)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 9*h**2\/2 + 6*h - 105. Let g(p) = -p - 1. Give 6*g(n) + t(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 64, 119, 190, 277?\n\"Answer: 8*a**2 + 15*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.93 - 0.07. Let m = -3.92 - 0.08. Sort 4, m, o in increasing order.\nAnswer: m, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-b + 5*b - b) - 5*b + 4*b - b - 27*b + 27*b + 60*b.\nAnswer: 55*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*r - 194*r = -395. Is r greater than or equal to -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167.3296 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73903642 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.3 (b) 5 (c) 4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1570 is divided by 494.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-33))\/((-15)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173479?\nAnswer: 283, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*f + 5 = 2*w, 8 = -2*w + 3*f. Let x = -17 + 33\/2. Is x less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*v - 28, 5*v - 4*v - 2*t = -10. Let h be (-1*(-2)\/2)\/(-4)*v. What is the common denominator of 114\/240 - h\/(-10) and 49\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 244\/(-5*8\/(-140)). Suppose -4*q = -2*b - 692, b = -5*q - 2*b + i. Is q a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5805\/182 = 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*c*m*r*u - 286*c*m*u - 2*c*m - 2*m**2*r**2*u + 2*m**2 + 104*r**2 with respect to r.\nAnswer: 14*c*m*u - 4*m**2*r*u + 208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 139\/239180 or -1?\nAnswer: 139\/239180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4381, 4412, 4457, 4522, 4613?\n\"Answer: y**3 + y**2 + 21*y + 4358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkjb when four letters picked without replacement from {k: 1, b: 3, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1676 and -68772\/41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*x - 491*x + 20 = 0. Suppose -5*q - 8 = x*l, -4*l = -q - 3*q - 28. Find i such that 8\/9*i - 2\/9 + 8\/9*i**l - 4\/3*i**2 - 2\/9*i**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4899 in -15, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16275166 is divided by 8057.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 4:23 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30341638.\nAnswer: 2, 151, 100469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 264113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-4 + 3 - -6). Let k(r) = r. Let b(j) = 17*j + 4. Let y(g) = -b(g) + 2*k(g). What is the remainder when y(i) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a century in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 16*s + 25. Let t be u(-17). What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 186497*n - 186496.\nAnswer: -(n + 1)*(n + 186496)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1806 times -0.29\nAnswer: 0.052374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 42*h - 7 = -5*c, -3*c + 3 = -h. Let s(b) = 3*b**3 - 4*b**2 + b. Let d be s(2). Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210 + 263. Let d = 57 - s. Suppose 5*f - f - 4 = 0. Which is the closest to -0.08? (a) f (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76166 and 2932391.\nAnswer: 5864782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.45 + 17.35. What is the third biggest value in 1\/3, 0.3, w, 8, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-26))\/(7360\/19136).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 6 (c) 1564 (d) -0.977\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z - 142. Determine n(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7 + 334\/7*p**2 + 332\/7*p.\nAnswer: 2*(p + 1)*(167*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -259, -5, 4 in increasing order.\nAnswer: -259, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*x + 640 = 428*x. Calculate the remainder when x is divided by 56.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -15\/2*l**2 + 15 + 0*l**3 - 10*l + 13\/6*l**4. Let r(s) be the first derivative of k(s). Differentiate r(t) with respect to t.\nAnswer: 52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/9418232 and -3\/44.\nAnswer: 103600552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 592*s + 28285. Determine i(-116).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*n + 3*l + l, -l = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11407021 is divided by 278220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 9, s: 7}. What is prob of picking 2 s and 2 p?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -641\/6 + 107. Which is the second biggest value? (a) 0.2 (b) p (c) -0.2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1252 - 829. What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -34*d. Let o(u) = -4779*u. Calculate s(o(i)).\nAnswer: 162486*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 - -185. Suppose c = 3*s - k + 17, 0 = -5*c + 25. Calculate the remainder when 33 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.2, 5, 0.06 in increasing order.\nAnswer: -1.2, 0.06, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = -0*s. Suppose 0*n = n - 3. Let k be 84\/70*5\/2. Solve k*i = -n - s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -n, 3*u - 5*n = 6*u. Suppose -2*b - 3*b - 13400 = u. Is (3\/(-2))\/(4*15\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {d: 3, j: 1, x: 16}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**2 + 11*a**2 - 33*a**2.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -0.0917?\nAnswer: -0.4083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104*(((-351)\/72)\/(-39))\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 17 = y + 4, -5*y + 19 = -2*s. Suppose v = y*v. Suppose 0 = -v*q + 4*q - 2*x + 18, -x + 13 = -4*q. Sort 5, -3, q in decreasing order.\nAnswer: 5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*j + 406*j = -610*j + 10220 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -1642.9573423989?\nAnswer: 1642.9573423989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469388.7 weeks to days.\nAnswer: 3285720.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h + 144 = 0. Let j be (-2)\/6 + (-6)\/(h\/(-28)). Factor 60*z**j - 46*z - z**3 - 134*z - 4*z**3.\nAnswer: -5*z*(z - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-26972)\/(-2904) + 1\/22?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1, -1\/3, 43, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1403 - 1445.2. Sort -1, p, -2 in ascending order.\nAnswer: p, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(((t**(-2\/3)\/t*t)\/t)\/t)\/t)**50\/(t\/(((t\/(t*t*t\/(t**(1\/3)\/t)*t*t))\/t)\/t)*t**(-3)) assuming t is positive.\nAnswer: t**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272.6 - -166.728. Round w to the nearest integer.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/102 and -7\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86*c**3 + 470876*c**2 - 644853622*c + 839010928.\nAnswer: -2*(c - 2737)**2*(43*c - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 43 + 19)*(-2 + 2 - 4*x) + 67*x + 2764 - 2764.\nAnswer: 291*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + 2*n - n)*(0 - 2 + 1) + 0 + 3*n + 0)*(4*n**3 + 3*n**3 - 9*n**3) + n**2 - n**4 + 3*n**3 - 3*n**3 - 196*n**3 - 4*n**4 - 206*n**3 + 384*n**3.\nAnswer: -9*n**4 - 18*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 + o**5\/60 - o**4\/24 + o**3\/6 + 8*o**2. Let k(u) = 8*u**3 + 6*u**2 - 6*u + 6. What is -6*i(t) + k(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 21 + 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 39878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3872*s**3 + 3*s**2 - 2*s + 14. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 14*p + 6*p**2 + p + 3*p - 2*p. Let c be m(8). Suppose c*u + 4*u - 5*a + 69205 = 0, -a = -u - 17301. Round u to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/1190 and 143\/2998870.\nAnswer: 50980790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = -0. Let f(a) = -a + 2. Let w be f(-12). What is the remainder when 204\/21 + 4\/w is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5170748 - -1?\nAnswer: 5170750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142700214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/22 - (-56428)\/103411. Does y = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -45?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23479211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7768 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-48*128\/15360)\/(0 + 0 + (-8)\/1180)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 82.7?\nAnswer: 99.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2. Let i(h) = -4*h**2 - 12*h + 10. Calculate -i(f) - 5*u(f).\nAnswer: -f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39159 and 0.006.\nAnswer: -234.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 5*n - 2. Let u be i(-4). Let w be (55\/(-15))\/((-110)\/60). Find the third derivative of -10*f**w - 7*f**2 + 15*f**2 + 22*f**u + 20*f**5 wrt f.\nAnswer: 1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 38*h - 275. Give b(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 571 - 624 = -1249 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -7 + (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -26, -4, -7\/3, -39, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 1\/100*q**5 - 1\/20*q**4 + q**2 + 1\/10*q**3 + 0*q + 0. Factor m(j).\nAnswer: 3*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 1. Let a be t(-1). Let r = a + -2. Suppose 2*g + 50 = 7*g. Calculate the smallest common multiple of r and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = -5*v, 0 = 3*w - 5*v - 11 - 4. Suppose 5*t = d - 23, -4*d + 2*d = 4*t + 24. Let a be 3 - -1*2\/d. Sort a, w, -4 in decreasing order.\nAnswer: a, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -50. Suppose -14*f + 13*f + 18 = -b*x, 0 = 5*f + 3*x - 18. Solve 3*q - 2*q - f = 4*y, -3*q + 2*y - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9783 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1553 + 1557. Solve -4*n = -8*n + t - 21, 0 = -4*n - m*t + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x + 5*s - 73, -s - 47 = -2*x. Suppose 0 = -5*u + 37 - x. Solve -20 = -2*t + 4*b, b = -5*t + u*b + 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7496 - 7496. Which is the nearest to o? (a) 3 (b) 3\/4 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*d**2 - 47*d**2 - 45*d**2 - 33*d**2 - 43*d**2 - 45*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a9 - 143?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.11205 - -0.1\nAnswer: -0.01205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1913*z**3 + 8660*z wrt z.\nAnswer: -11478*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58386 is divided by 231.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 444775 and 1352116?\nAnswer: 33802900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*5*2\/(-6). Let l be -3 - (-5)\/v*-12. Let g be l\/2*20\/30. Solve -4*q = 2*z - 3 - g, z = 5*q + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9441 divide 4247354844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 times 1?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v. Let m be (1 + v)*(-14 - -18). List the prime factors of m + (-7)\/((-14)\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*-5)**2 - sqrt(972)\/sqrt(9).\nAnswer: -6*sqrt(3) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*p + 22 = 0, -3*l + 5*l + 12 = -2*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 812250 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose -m = 5*u - 751, 0*u = q*u - 2*m - 612. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 673, -0.2, -3, -52, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7053*g**3 - 2169*g**3 + 1606*g**3 - 65587*g + 65587*g.\nAnswer: -7616*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o**3 + 230125*o + 45*o**3 - 230138*o + 18*o**3 in the form v*o**3 + z*o + n*o**2 + r and give v.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*g = 2*t + 50*g - 2, 4*t - 3*g = 4. Solve 5*v - 18 = 4*s + 14, s - t = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*w = -12, 25*g - 29*g - 2*w + 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 5*w + 257, o - 38 = -4*w. Calculate the remainder when 107 is divided by o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13428 + -13406. Solve 0 = m*y - 34 + 34 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - 0. Let l = 29 + i. Calculate the greatest common divisor of 112 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 2109078.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 divided by -3.\nAnswer: 131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827 = 9*r - 127. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i. Let t(g) = 3*g**2. What is t(v(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1104*c**4 + 2*c**3*t + 17*c**3 - 19*c**2*t + 2*c**2 + 4*c*t - 42*t wrt c?\nAnswer: 26496*c + 12*t + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5\/5 - 149*p**4\/5 - 806*p**3\/5 + 7394*p**2\/5 - 1221*p - 14157\/5 = 0?\nAnswer: -143, -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145203300 is divided by 16133699.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -19 - 15. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -243?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19959 >= 499004\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 221*a**5\/4 - a**4\/6 - 537*a**2\/2 + 12*a - 12. Find the first derivative of j(r) wrt r.\nAnswer: 3315*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -773696 divided by 616.\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/2)\/j))\/j**4*j**(-5\/4)\/j**5 assuming j is positive.\nAnswer: j**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 23. Suppose -6 + 61 = n*k. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 3*m = -114*m + 34452. Which is greater: m or 1837\/7?\nAnswer: 1837\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -16. Let d be (-1684)\/f - (-3 + (-34)\/(-10)). Calculate the highest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**5 + 2*i**4 - 2*i**3 - 2. Let p(h) = -7*h**5 - 3*h**4 + 3*h**3 + h + 3. Let o(f) = 3*n(f) + 2*p(f). What is the second derivative of o(j) wrt j?\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Let s(y) = -y. Let t(w) = -w + 3. Suppose 6 = 4*k + 10. Let q(d) = k*t(d) - 2*s(d). Determine v(q(g)).\nAnswer: -9*g**2 + 18*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b\/b**(-3))))**(-1\/48))**(-44)\/((b\/(b\/(b*b*b\/(b*b**(9\/2)*b))))\/((b**(3\/2)\/b)\/b))**(2\/15) assuming b is positive.\nAnswer: b**(299\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from yyyhyyhyyyhyyyyhyyyy?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 29*a**3 - 59*a**2 + 32*a - 143. Give c(4).\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.192 plus -103?\nAnswer: -96.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 - 2?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:12 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i)\/i**(2\/7)*(i**0\/i)**(11\/7) assuming i is positive.\nAnswer: i**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(126))\/sqrt(7) + sqrt(18))\/(-3*sqrt(3)*-1))\/(3*sqrt(3)*-2 + sqrt(3) - (sqrt(243) + sqrt(243) + -3*sqrt(243) + sqrt(243) + sqrt(243))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*100\/(-175).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 31 = 4*s - 0*g, 5*s + 3*g - 11 = 0. Suppose -t = -s*u - 0*u + 7, 14 = -2*t - u. Let i(w) = -w**3 - 8*w**2 - 9*w. Is 14 a factor of i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.9999977 + -42. Let b = 0 + v. What is b rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2)*(-4)\/(-6). Suppose n*d = 6 + 9. Let c(a) = a**2 + 5 - d. Let z(u) = 3*u. Calculate z(c(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16531912547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3587 + 1167. Let t be (-1)\/(-4)*7394*2. Let p = o + t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 44*d**3 + 2*d**2 + 7*d - 8. Let h be a(1). What is the greatest common divisor of 1055 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449255*n**2 - 8*n**3 + 449255*n**2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -191841.1, -0.5, 2\/3 in descending order.\nAnswer: 2\/3, -0.5, -191841.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auu when three letters picked without replacement from uuuuauuuuauuuuuuuuu?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4262?\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 + 387 - (0 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - -0.3. Let l = 0.25 - 0.3. Let u = 4.95 - l. Which is the nearest to p? (a) -1 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 - 2*y - 5. Let q be f(-5). Let l be (-3)\/4 + q\/(-20). What is the second derivative of -5*b - b**l + 83*b**2 - 83*b**2 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27193573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 78 = -47. Suppose 3*c - 2*h - 75 = 0, 0*c = c + 3*h - u. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 + 16*n**2 - 6*n**2 - 3*n**3 - 28 + n**3 as h*n + l*n**3 + f*n**2 + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186038.67 months in years?\nAnswer: 15503.2225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 601552 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: What is 12 - (4 + -3 + 9) - 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 658 - 658. Let d(n) be the second derivative of w - 3*n - 1\/4*n**4 + 0*n**2 - 1\/6*n**3 - 1\/10*n**5. Let d(j) = 0. Calculate j.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1013, 1004, 985, 956, 917, 868, 809?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -96, -96, -98, -102?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 54763605.\nAnswer: -1\/18254535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.11 (b) 0 (c) -3\/5 (d) 3 (e) 7\/2 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/7 (c) -4.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/h)\/h**(3\/8))**(-40)*(h**(2\/3)\/h*(h*h**1)\/h)\/(h**0)**24 assuming h is positive.\nAnswer: h**(887\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7592.316ml to litres.\nAnswer: 7.592316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14. Suppose 5*o + 2*r - 25 = -3*r, -5*o - r + 17 = v. Solve b + 1 = -o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 - 5*a + 34. Let j be o(6). Suppose -4*t + 2*m = 0, -j = -5*t - m + 3. What is the smallest common multiple of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2*y**6\/15 - y**5\/5 - 16*y**4\/3 - 40*y**3\/3 - 29*y. Solve w(s) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1159037126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216416895 divided by 5.\nAnswer: -43283379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20477321 and 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 6\/(-2) - 23\/(276\/(-24)). Let 0 - w*s**3 + 2\/3*s + 7\/3*s**4 - 1\/3*s**2 - 2\/3*s**5 = 0. Calculate s.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83.44352 times -0.5\nAnswer: -41.72176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (2\/(-2) - -19). Suppose s - h = -s. Let u = 703 - 604. What is the greatest common divisor of u and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 12. Let j be 175\/(-50) - 2\/4. Let y be n(j). Solve 2*m + 0*m + i = -6, y = -5*m + 2*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + ((0 + 1 + sqrt(1372) + (-4 + sqrt(1372) + -1 - sqrt(1372)))*-5)**2.\nAnswer: -2800*sqrt(7) + 34698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/397? (a) 1 (b) 3 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14916*b**3 - 6429?\nAnswer: 44748*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1482488627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49721 is divided by 168?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28159?\nAnswer: 29, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.6976 - -0.4276. Let s = 18 + g. Let y = s + 0.2736. Round y to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196a36 (base 11) in base 3?\nAnswer: 120100100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76286, 76292, 76302, 76316?\n\"Answer: 2*a**2 + 76284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1493, 2782, 4073, 5366?\n\"Answer: s**2 + 1286*s + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 4 - 4 + (3 - 6 + 0)*(4*x + x - 4*x) + x - 11*x + 0*x + (5*x + x - 3*x)*(0 - 5 + 4) - 2 + 3*x + 2 to the form w*x + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4432, -1, 6.\nAnswer: -2, -1, 6, 4432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (2 - 2)) + -6 + 13 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-6) + (0 - 1). Let o be (1 - -1)*p\/4. Let t = 81 - 565\/7. Which is the second biggest value? (a) t (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -5*c**4\/18 - 26*c**3\/27 - 4*c**2\/9 + 8*c\/9 + 18. Solve b(m) = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c - c)*(0*c - 3*c + 4*c) - 2*c**2 + c**2 + 0*c**2 + 0 + 0 - c**2 + 2*c**2 + c**2 - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -8, 6*c = 3*c + 3*b + 1107. Suppose 0 = 4*h - 8*h - 3*q + 1525, h + 4*q - c = 0. What are the prime factors of h?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*z**3 - 2*i**2*z - i*z**2 + 4*i - 153*z**5 wrt z?\nAnswer: 12*i**2 - 9180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**3 - 5*g**2 + 7*g + 17. Let n(w) = -7*w**3 + 5*w**2 - 8*w - 18. Let o(v) = -6*f(v) - 5*n(v). What are the prime factors of o(-3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 371*l**2 - 87*l - 16. Let d(a) = 370*a**2 - 86*a - 13. Let s(m) = 6*d(m) - 5*h(m). What is the second derivative of s(u) wrt u?\nAnswer: 730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -4794 divided by 102\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -10540?\nAnswer: -10540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 227 - 20*z - 81*z**2 + 221 + 249*z**2 - 446 as a + n*z**2 + k*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:59 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**23\/q**(-1)*(q*q**(15\/2))\/((q\/((q\/(q\/(((q**(-17\/5)\/q)\/q)\/q)))\/q))\/q*q))**(-4\/13) assuming q is positive.\nAnswer: q**(-482\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -201, -19, 163?\n\"Answer: 182*g - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -20, -4*c + 3*p = -p - 60. What is the highest common divisor of c and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o = -64*o - 126000000. What is o rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -10*c + 78. Suppose -3*z + 286 = -2*h + 4*h, 5*h - c = -z. Suppose -3*i = 4*i - z. What is the lowest common multiple of 6 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + c + 93. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 - 0.1. Let g = x + -1. Let j = 2.9999978 - g. Round j to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(700) + (-2 + sqrt(700)*-2 - sqrt(700)) - (1*sqrt(847) + sqrt(7) + sqrt(70)\/(sqrt(10)*-1)))**2 + 5.\nAnswer: 434*sqrt(7) + 6781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*x = 42, -z - 4*x + 18 = -2*x. Let g be 30\/8 + 3\/z. Let f(b) = g*b - 6*b + 4*b. Give f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -n + 2*m, 0 = -4*n + 597267*m - 597263*m - 80 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 4*t - 1. Let x be y(-2). Suppose -j + 20 = x*j. Suppose 0*g + j*g = 60. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -4)\/((-4)\/(-4)). Let m be (-80)\/(-12)*3\/(-2). Let l be (-16)\/m*i\/(-12). Put l, 0.5, -3\/7, 1 in decreasing order.\nAnswer: 1, 0.5, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/60 + n**4\/24 + n**3\/6 - 68*n**2. Let m be z(1). Solve 0 = -4*j + 3*q, 2*j + 11 = -m*q - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -4 (c) -36 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = -3*m, -a - 3*m = -14 - 0. Suppose 28 = a*j - 10. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1941544840 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 483*j - 222. What are the prime factors of q(5)?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o - 222*o**3 - 42*o.\nAnswer: -222*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -20, -42, -74, -116, -168, -230?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhm when three letters picked without replacement from {h: 13, m: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -36*r**2 - 147*r + 2731. What is i(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945947?\nAnswer: 3, 648649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3870 by 18.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002813277742 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 12) + -1 + 4. Suppose 3 = -k + c, u = c + 4*c - 25. Suppose k*x - 1 = 3. Solve -6*z = -j - 2*z - 1, 8 = -2*j + x*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/153612 and -107\/534?\nAnswer: 13671468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 2*u**2 - 5*u + 3. Let r be j(3). Let h = 376 + -184. Calculate the greatest common divisor of r and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = 2*c - 6, -4*c + x + 25 = 0. Let b(g) = -g**2 + 4*g + 5. Let h(n) = n**2 - 4*n - 6. Let p(a) = c*b(a) + 6*h(a). Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385896, -386066, -386248, -386448, -386672?\nAnswer: -386926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c. Suppose c = 5*g - 2 - 3. Suppose 2*d + d = 30. What is the smallest common multiple of d and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 4, s: 4}. What is prob of picking 2 e?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 449*r**3 - 3*r**2 - 5*r + 3. Calculate the least common multiple of 397 and s(2).\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmpphjbljhpjhhj. What is prob of sequence jl?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 61384003 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*n + 11911 = -45*n - 8690. Is n at least -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/12 - (-3)\/(-4). Let x = f + 3. Suppose 2*j = -k + 35 + 15, 0 = -x*k + 2*j + 118. What is the highest common factor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + 63 + -68.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36146 - -36147. Calculate the lowest common multiple of 8481 and q.\nAnswer: 8481","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= -45676670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -16 + (11 + -1 - 14 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 158?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4\/(z*z\/(z**8\/z))*z*z**(3\/7)*z**(-8) assuming z is positive.\nAnswer: z**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.2788 + 1\nAnswer: -1.2788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/12220 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osoy when four letters picked without replacement from iioooccohcyyciosoyhc?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 481078, 962156, 1443234, 1924312, 2405390, 2886468?\n\"Answer: 481078*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((48\/(-20))\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475038*k - 475033*k + 6*o - 70 = 0, 3*k - 33 = -3*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t - 8 - 5 + 13 as r + w*t and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299045961.\nAnswer: 3, 33227329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/63 and (-61)\/21*(81\/9)\/(-81).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/189*943 - (-7190)\/719. Which is the second smallest value? (a) 0.5 (b) g (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*26\/(-1365)*7\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*j**2 + 263*j**2 - 135*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 623103 and 975?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/27633840 and 109\/97240.\nAnswer: 303972240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4772599 to the nearest 10000.\nAnswer: -4770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcp when three letters picked without replacement from {l: 12, c: 1, p: 1, w: 3, g: 1, j: 1}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559356083?\nAnswer: 11, 13, 17, 43, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 195 + 3*y + y**3 + 1\/4*y**4 + 0*y**2 + 16\/5*y**5. Find the third derivative of b(f) wrt f.\nAnswer: 384*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-424 + 30*g**2 + 424)*((g + 0 + 0)*(1 + 3 - 3) + g + 4*g - 3*g) in the form d*g**3 + w*g**2 + t*g + k and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59076348691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1002 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -758\/28437 or 0?\nAnswer: -758\/28437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w - 901*w**4 - 2162*w**4 - 126 + 371*w**4 wrt w?\nAnswer: -32304*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.7 - -14.5. Suppose -24 = -4*g - 3*y, -5*g + 5*y = 6 - 1. Which is the closest to -0.1? (a) g (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89150 by -50.\nAnswer: -1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1144*f - 4\/3*f**3 - 548\/3*f**2 + 0.\nAnswer: -4*f*(f - 6)*(f + 143)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3488223\/8710 + -2681\/134. Let y = 841\/2 + z. Let d = -1629\/520 + y. What is the common denominator of 47\/10 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l + 5. Let j(v) = -25 + 59 - 28 + 7*v. Give 3*j(p) - 4*u(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-3*1\/(-1). Let h(t) = 9*t + 2. Let f be h(p). Suppose f = 3*y - 13. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49379.6261 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*a**5*v + 10*a**3 - a**2*v**2 + 3*a*v**2 - 13434*a*v - 2*v**2 wrt a?\nAnswer: 2940*a**3*v + 60*a - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 12:07 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 3 = 20*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 565534145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034369 rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-300)\/(-15)*(-2)\/(-4) - -2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (264\/(-20))\/((-3)\/10). Suppose -5*y + 2*y + 3*a = -39, -2*a + g = 5*y. Suppose -l + 0 = -y. Calculate the remainder when l is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1216 and -1086 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**5\/7 - 3141*b**4\/7 - 615429*b**3\/7 + 470423*b**2\/7 + 1391613*b\/7 + 308898\/7 = 0.\nAnswer: -393, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -443180649\/8618 - -51425. Let v = f + 16925\/2680198. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120220022011 (base 3) to base 15.\nAnswer: 1c29cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21945041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**4 + 6*v**2 + 6*v - 8. Let d(j) = 3*j**4 + 5*j**2 + 5*j - 8. Let y(r) = -6*d(r) + 5*t(r). What is the derivative of y(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218641?\nAnswer: 218641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - l - 1 = -2*c, 2*l + 16 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.009 and 136.\nAnswer: 136.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 17*l = 42*l + 5*g + 100, 3*l = -65*g + 12*g - 272 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 805\/9 (b) 1 (c) 1\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11528*q**2*u**2 - 1384*q**2*u*x**3 + q**2*u*x**2 + 6*q*u**2*x**3 - 2*q*x**3 - 2*q - 2*u*x wrt u?\nAnswer: 23056*q**2 + 12*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 51*v**2 + 2*v + 42. Determine j(-51).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9174681 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g - 8 = 0. Suppose 700900 = g*x + 236900. Suppose -w = 3*w + x. Round w to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/56 and 489 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3268568 is divided by 4245?\nAnswer: 4163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g**2 - 2881*g + 188. Let u be w(-137). What is the highest common factor of u and 8188?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11591*x - 567940. What is z(49)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**2 - 35*p + 4. Is i(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x = 71*x - 37142. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*4*-4)\/((sqrt(192)\/sqrt(8))\/sqrt(6)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v**2 + 2*v + 45. Let w be r(-25). Suppose 5354 = 3*y - w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 + 2420*d + 2418 = 0.\nAnswer: -1209, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*2.1.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -23. Suppose -3*b = -5*p + 6, 0 = 2*b - f*p + 2 + 2. Let z = 51 + b. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u - 14. Let v be a(5). Let c be (-1*4\/(-30))\/(4\/v). What is the smallest value in -2, c, -3, 2\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Suppose 0 = 4*h - 3*y - 24, -h + 3*y + 6 = 0. Let t(x) = -h*x - 2*x - x. Calculate q(t(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 + -5) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*h**2 - 863*h - 26 + 1744*h - 880*h to n*h + t + s*h**2 and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 11. Let q be l(-8). Let r(v) be the first derivative of -2 + 3\/5*v**5 + 3\/2*v**4 - 3*v + 0*v**q - 3*v**2. What is s in r(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*n - 3*u - 5, -1 = u. Let r = -1 - n. Suppose r = -4*c - 0*c + 68. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*21.8165887\nAnswer: 109.0829435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -119.80363 and 15286367?\nAnswer: 15286486.80363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16*d. Let j(u) = -290*u**2 - 2*u - 10. What is j(g(v))?\nAnswer: -74240*v**2 + 32*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(21)*-2 + sqrt(21)))\/(sqrt(27) - sqrt(108) - sqrt(27)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/27027 and 59\/938574?\nAnswer: 10324314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b + 6918 - 6148 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**4\/7 + 76*v**3\/7 - 360*v**2\/7 = 0?\nAnswer: 0, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 1.7. Let r = 3 + -2. Let s = 1 + -1.2. What is the nearest to h in s, -4, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 + 123*z**2 + 23214*z\/5 + 43992\/5.\nAnswer: 3*(z + 2)*(z + 47)*(z + 156)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91.6 in -2\/13, -2\/3, -7, 4, 3\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8090 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: Let j(a) = 3*a**2 + a. Determine j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**3 - 3*d**2 + 8*d. Let l(x) = 642*x**3 + 7*x - 1300*x**3 - 2*x**2 + 651*x**3. Calculate -6*l(w) + 5*q(w).\nAnswer: 2*w**3 - 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-90)\/9)\/((-1)\/6). Suppose -1797 - 2087 = -39*z - 764. Calculate the highest common divisor of p and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -3615420.\nAnswer: -11\/3615420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-12)))**(2\/17)\/(n**(-9))**(1\/4) assuming n is positive.\nAnswer: n**(65\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 0*x + 2 + x + x. Suppose -3*o - 3*p + 20 = -2*p, 0 = o - 3*p + 10. Is z(o) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -487\/982888 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - a**3 + 2*a**3 - 11*a**2 + 3 - 7 + 1. Suppose -s = 4*s - 55. Is u(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7307 + 854914\/117. Let q = l + -1\/9. Let r = -1 - 0. What is the second smallest value in 2\/15, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 7788?\nAnswer: 38940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-27 + 13) + -51 + 14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/12 - 17*u**3\/6 - 9*u**2 + 40*u - 7. What is b in a(b) = 0?\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139539*j + 4 + 279087*j - 139547*j.\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (53 - 12 - 89)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -6*z + 10. Let n be (2\/5)\/((-4)\/z). Put -2, 4, n in descending order.\nAnswer: 4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1170\/(-520) - (-3*(-33)\/36 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 7 = -4*b - 3*j, -2*j - 18 = -4*b. Let t be 176\/(-96) + b\/(1\/1). Suppose -h = 2 - 3. Which is smaller: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3770 and -23\/130.\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 251, 368, 481?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16429 - 8863. Which is bigger: w or 7565?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 283\/24 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + p - 1. Let v be 37 + (7 - 2) + -8. Suppose 16 = -26*h + v*h. Let c(g) = 5*g**2 + 2*g - 2. Determine h*s(f) - c(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**24*(i*i**(-1\/7))\/i assuming i is positive.\nAnswer: i**(167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 12562391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16351 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1880572954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 - 1. Let r(o) = 287*o - 4*o**2 - 611*o + 324*o. What is z(r(a))?\nAnswer: 80*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/19*c**2 + 14\/19*c**4 + 2\/19*c**5 - 34\/19*c**3 + 0 + 0*c.\nAnswer: 2*c**2*(c - 1)**2*(c + 9)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by ((-5)\/3)\/(0 + (-1)\/15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2. Let x(f) be the third derivative of f**4\/12 + 5*f**3\/6 + 3*f**2. Let i(w) = -1 + 2*w - 3*w - 2. Let a(b) = 5*i(b) + 3*x(b). Give g(a(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 123026367?\nAnswer: 123026367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7111*b**3*r**2 - 11*b**3 + 5*b**2*r**2 - 44*b**2*r - 5*r**2 wrt b?\nAnswer: -42666*r**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340714512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t - 1392 = -92*t. Calculate the highest common factor of 319 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*x**4\/4 - 10653*x**3 + 192051*x**2\/2 - 288225*x + 1153197\/4.\nAnswer: -(x - 3)**3*(11*x + 42711)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 55. Suppose 0 = b*n - 426 - 69. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88.34 - 1.96. Let a = -94 - g. Let d = -3.6981 - a. What is d rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - d**2 + 1. Let g(r) = r**3 - 10*r**2 - 6. Let c be g(10). Let u be ((-2)\/(c\/(-3)))\/1. Calculate h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {g: 4, i: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 9. Let d be g(-2). What is the first derivative of -53*s**4 - 8 + 6*s - d + 52*s**4 wrt s?\nAnswer: -4*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20\/39, 0.05, 2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*(2 + 1). Let n = 4 + v. Let t = 5 - 2. Solve 0*f + 14 = -o + n*f, 0 = 4*o + t*f - 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/4)*c)\/c**(-3\/11))**45*((c**2\/c)**(-8))**25 assuming c is positive.\nAnswer: c**(-7765\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c - -22?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9))\/(-1)*0. Suppose y = 4*v - 3*v + 1. Is (-3 - v)\/(4\/(-92)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31541268 to the nearest integer?\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391343065 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - 2*n)*(5 - 4 - 3) + 5*n - 3*n - 3*n + 4*n + 0*n - n)*(2 + 0 - 1).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 843 - 8*w**4 + 4*w**3 - 899 - w**3 to l*w**4 + i*w**3 + p + j*w**2 + t*w and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -411, -416, -423, -432?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrrnzzanraraezrnrr. Give prob of picking 1 a, 1 j, and 1 n.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r**2 - 1 + 2 + 0 + 40*r - 47*r + 2*r**3. Is d(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-940)\/(-18) + 16\/(-72). What is the highest common factor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.03 + 3.03. Let u = -5 + 8. Let k = 2.8 - u. Which is the smallest value? (a) k (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10252686 to the nearest integer?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/15 and (9\/(-60))\/(3\/(-122)) - -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111526 is divided by 2186.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2511.5 and -96?\nAnswer: 241104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 1\/9*s**3 - 5\/12*s**4 + 2\/15*s**5 - 8 + 1\/3*s**2 + 0*s. Factor i(v).\nAnswer: v*(v - 2)*(v - 1)*(2*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (sqrt(52) + (sqrt(52) - sqrt(104)\/sqrt(2)))*-2))**2.\nAnswer: 256*sqrt(13) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a**(3\/2))**(-11)\/((a\/(a*a*a*a**(-1)))**(-21)\/((a*(a*(a*a**(1\/6))\/a)\/a*a)\/(a\/a**(-5)))) assuming a is positive.\nAnswer: a**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338\/5 - 4*2\/(-20) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -967 + 967.3. Let x = 4.2 + -10.2. Which is the nearest to h? (a) -3 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30442132 and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1072905936?\nAnswer: 1072905936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-8 + 39 + -17 + 4 + 2 + -10)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -221, -219, -207, -179, -129?\n\"Answer: o**3 - o**2 - 2*o - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*h = -2*c - 10, -4*h + 16 = 0. Suppose -t = 6 - c. Solve -k - 2*v - 13 = t, -2*v = k + k + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 13*n - 5. Suppose -2 - 173 = -5*d. Let s be (-20)\/35 - 295\/d. Let w(r) = -3*r + 1. Give s*w(x) - 2*z(x).\nAnswer: -2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978206 is divided by 10693.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 39*h + 73. Calculate w(41).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + -45 + -6 + 30.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 23. What is the remainder when (-5)\/((-75)\/(-6))*-65 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6437.129 - -6437. Which is smaller: 2.7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d - 6. Let q(w) = -5*w**2 + 2*w - 2. Let t be 5*36\/135*6\/4. Let s(h) = -2*h**2 + h - 1. Let a(u) = t*s(u) - q(u). Calculate a(x(r)).\nAnswer: 64*r**2 + 96*r + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*l + 8, l - 5 = 2*l. Let a(x) = -4*x + x**3 - 7 - 2*x**2 + 0*x - x**m. Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.23?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:36 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {e: 2, w: 8, m: 6, t: 1, h: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(105\/(-9))*-25. Suppose -10*z - 55 = -t*z. What is the second derivative of 5*h**4 + z*h + 11*h - 16*h wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12 - (-418)\/8. Let g be (-1)\/(-4) + w\/(-16). Let t(m) = -5*m - 4. List the prime factors of t(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f**3 + 13*f**3 + 7*f**4)*(0 + 1 - 5).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (8 - 3) - (3 + -20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.021 (b) -1.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x + 0*x)*(-936*x + 53*x**2 + 936*x).\nAnswer: 53*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1501.6 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17986 by 53.\nAnswer: 17986\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/957 - 12457\/15312. What is the common denominator of -99\/16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmarraripiir. Give prob of sequence rii.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**3 - 18*t**3 + 10*t**3)*(2 - 2 - 2*t).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/864 and -17\/432540.\nAnswer: 3460320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3377 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/7 - 14748*u**3\/7 + 1179534*u**2\/7 + 14609680*u\/7 + 13415400\/7 = 0. Calculate u.\nAnswer: -7453, -10, -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*n = -115, 4*m = -0*n + 2*n + 158. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - -1000?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 5*d**3\/3 + 9*d**2\/2 + 405*d. Let g(u) = -7*u - 6. Calculate 7*g(q) + 5*l(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/112404*(3 + 0). Let m = -219388027301534645\/28773006004643272 - 2\/383967732527. Let k = m - t. Calculate the common denominator of k and 31\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000111110110 - -11?\nAnswer: 100000111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17345524 (base 9) to base 12\nAnswer: 2b00987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -804 - -523. Let a = -280.84 - f. Let j = 5 + -3. Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/14)\/y**(-4\/37)*y\/((y**(3\/2)\/y)\/y)*y*y*y*y\/y**(-43))**(-40) assuming y is positive.\nAnswer: y**(-502840\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c*c)**(-2\/29)*c**(2\/7)\/c**(1\/4)*(c**10\/c*(c\/c**(2\/9))\/c)**(2\/9) assuming c is positive.\nAnswer: c**(122707\/65772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*k + 3*k + 101, -z = 3*k - 109. Suppose 0 = -7*i - k + 14. Which is the second smallest value? (a) i (b) -2 (c) 0.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -40004313311?\nAnswer: -40004313302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*a - 101 - 89 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 = -4*r, 2*r - 5*g - 35 = -0*g. Suppose 0 = 4*i + 24, -k + 4*i + 149 - 119 = 0. Let b(m) = 0*m + 4 + k - r - m. Determine b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0 + (3 - 6 + 2)*(4 - 2 - 1) + 2324 - 1111 - 1104)*(15*d**2 - 12*d**2 + 14*d**2) as b*d**2 + c*d + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -582.3 - -582.6. Let o = -12.71 + -0.29. What is the nearest to v in 0, o, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15594*d - 15594*d - 74 - 6*d**3)*(-3*d + 2*d**2 + 3*d).\nAnswer: -12*d**5 - 148*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4348682*b**3*g**3 - 2*b**3*g + 2*b**3 + 3546*b*g - b - 6*g wrt g?\nAnswer: -26092092*b**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 6. Let v(o) = -o**2 + 6*o - 5. Let h be v(m). Find the third derivative of 2*c**2 - h*c**2 + 3*c**3 + 4*c**3 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43120121 (base 5) to base 11.\nAnswer: -229355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59356 is divided by 212?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6))\/v*v*v**6)**(16\/3)\/((v**(-2\/5))**41\/(v\/(v\/(v**(-4\/5)*v))*v*v**(2\/3))) assuming v is positive.\nAnswer: v**(118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38\/(-10) + (-28)\/(-7). Factor -2\/5 - 1\/5*u**3 + m*u + 2\/5*u**2.\nAnswer: -(u - 2)*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2710\/519 - -1286795\/236664. Let y = d - -1\/152. Let k be (-85)\/60 + 8\/12. Sort y, -2\/3, k.\nAnswer: k, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.93736976 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 + 6*g**2 + g + 4. Let q(u) = -4*u - 22. Let t be q(-7). Let i(c) = 5*c**3 - 11*c**2 - 2*c - 7. What is t*i(a) + 11*n(a)?\nAnswer: -3*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110221121 (base 4) to base 7.\nAnswer: -501362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -37897 + q - 40*q**4 + 12*q**2 + 2*q**4 + 5*q**3 + 37897 in the form p*q**3 + j*q**2 + r*q + y*q**4 + d and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x + 3. Let b(a) = -7*a + 5. Let w(h) = 3*b(h) - 5*n(h). Let c(q) = -2*q + 21. Let u be c(10). What is w(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 18, 8, -8, -30?\n\"Answer: -3*c**2 + 5*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 24 = -27*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-63)\/(-42)*-8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9664.8845 and 1?\nAnswer: -9664.8845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7*c = -36. Let d be (15\/c - 2)*-81. Suppose 26 = 5*r - p, 2*p + 0*p = 5*r - d. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 782.4745 to the nearest 10.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(208)*-5)\/(3*sqrt(256))*-6.\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 2*s**3 - s**2 + 3)*(71*s**2 - 144*s**2 + 72*s**2 + 0*s**2 + 0*s**2 - s**2 + (4 - 3 - 3)*(2*s + s**2 - 2*s) - s**2 + s**2 - s**2).\nAnswer: -10*s**5 - 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-33.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 20*p + 124. Suppose -4*v - 2*l + 14 = 0, -2*l = -5*v + l + 12. What is the remainder when p is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = a + 1 - 5, 0 = 4*a + 5*n - 7. Let g be (-6)\/12*0\/a. Suppose 12 = z + 3*t, g*z - 5*t + 14 = z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + -28324509?\nAnswer: -28324509.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + 4*q**3 - 4*q**3 - 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5612251 to the nearest integer?\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 13. Let p be 1*(-5)\/(-55)*-1. Let g = -17\/66 - p. Which is the second biggest value? (a) 0.5 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2. Let p(k) = -110*k + 18. Let y(o) = -2*o - 3. Let w(a) = p(a) + 6*y(a). Determine g(w(z)).\nAnswer: -148840*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212021212 (base 3) to base 8.\nAnswer: -107466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3594 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82889781?\nAnswer: 3, 13, 241, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(21\/(-4)). Let a = -12547 - -50185\/4. Let o = 0.1 + 0. What is the nearest to m in o, -2, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 752*w**3 - 47. Let l(b) = 47*b**3 - 3. Calculate -94*l(u) + 6*v(u).\nAnswer: 94*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -14. Let o(p) = 3*p - 5*p**2 + p**3 + 7 + 0*p**2 - 2. Calculate the smallest common multiple of 12 and o(l).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23993, 45554, 67115, 88676?\nAnswer: 110237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-155)\/(-84))\/(-5) - (1080\/(-105) - -10).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2 + 11. Are -1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**2\/2 + 13*n + 6. Suppose 4*z + 8981 = 5*i - 14910, -3*i + 14329 = -z. Let l(t) = 2*t - i + 4775. What is c(l(j))?\nAnswer: 2*j + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 771055.9us?\nAnswer: 0.7710559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 7*p + 28*p)*(-2*p**2 - p**2 + 5*p**2) + 0*p**2 + 2*p**3 + 0*p**2 to the form c + y*p**3 + n*p**2 + l*p and give y.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3896 - -3895.8. Let z = -0.18 + -11.82. Which is the nearest to x? (a) z (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 - 29\/6*f**2 + 1\/3*f**5 + 20\/3*f - 2*f**3 + 11\/6*f**4 = 0. Calculate f.\nAnswer: -6, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17546857253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001235 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1362237657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l + 3. Let g be c(0). Let x = 5 - g. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*q**6 + 14*q**6 - 22*q**2 - 2*q + 2*q wrt q?\nAnswer: -3120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 266, 229, 160, 53, -98, -299, -556?\n\"Answer: -i**3 - 10*i**2 + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -593093\nAnswer: -8896395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5 + 128*y**4 - 116*y**3 - 248*y**2 = 0.\nAnswer: -1, 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*((2*sqrt(2880) + 1 + 5 - (sqrt(2880)*-1*-5 + 0 + sqrt(2880) + 1 + sqrt(2880)))*1)**2.\nAnswer: -3600*sqrt(5) + 216074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = -4*p - 4, p - 7 = -4*d. Let l = d - -3. Let j be (0 + (-6)\/5)\/((-24)\/80). Solve -j*a = -0*a + l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647 - 640 - 647 - 638 + 2572 + 6*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*((-12)\/21 + (-39)\/(-105)). Let d = 7 + -8. Sort d, g, 7 in decreasing order.\nAnswer: 7, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15*i - 892. Calculate o(26).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 1) + -5 - (1 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110\/7 - -16. What is the nearest to i in -4, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 + 0 - 5 + 4.\nAnswer: 13*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-16)))\/(b**(1\/32)*b)*(b**16\/b)\/(b\/(b\/b**(-8))) assuming b is positive.\nAnswer: b**(1215\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 50. Let k be o(10). Suppose -494*w = -499*w + k. Let r be (-75)\/(-99) - 2\/3. What is the closest to w in r, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -29, -4, -9, -6 in ascending order.\nAnswer: -29, -9, -6, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43081 is divided by 6822?\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12*w - 5. Calculate the remainder when 7 is divided by h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*g + 7. Let r(p) = -5 + 6*p - 3*p + 2*p. Let l be r(g). What is the greatest common divisor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5556, -22537, -50844, -90477?\n\"Answer: -5663*y**2 + 8*y + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1239 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115\/(-420) - (1 + -5) - (-41)\/492?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 115 - 125 = 0. Let i = 118 + q. Suppose 0 = 8*f - 5*f - 9. Put f, i, -8 in descending order.\nAnswer: f, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) -0.1 (c) 126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 331 = -x - t, 4*t - 334 = -5*x. Let l = x - 34. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 6*b + 10. Let u(k) = 2*k**2 + 6*k + 2. Calculate the remainder when u(-4) is divided by i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3920\/595)\/(-28))\/(16\/(-2))?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:07 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -380 + 376. Sort -5, d, -2, 3.\nAnswer: -5, d, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -391.691619 to two dps.\nAnswer: -391.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(16\/(-32)). What are the prime factors of (-5 + 641)*(1 - v\/(-2))?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -2 - (-2 + -11) - -51.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226363187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60051, -120104, -180155, -240204, -300251, -360296, -420339?\n\"Answer: b**2 - 60056*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 4*c**2 + 3*c**2 + (-4*c + 4*c - c)*(-2 - 2 + 1)*(10*c - 6*c + 8*c)*(2 - 1 - 2).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5488321140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514578 divided by -13?\nAnswer: -116506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 5, 647, 12 in descending order.\nAnswer: 647, 12, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1. Let k(b) = 1 - 2 + 2*b + 2. Let i(w) = -k(w) - 4*o(w). Let l be i(-4). Calculate the highest common divisor of 9 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -36*t**5\/5 + 45*t + 49. Differentiate m(n) wrt n.\nAnswer: -144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 16*z**3 + 304*z**2 - 5*z - 83. What is t(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 + 7 = -a, 0 = 4*a - 4. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/6 + y**3\/2 + 9*y**2\/2 - 10*y. Let g be c(4). Determine a, given that 20*a**2 + 27 + 26 - g - 5*a**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**4 + 2*x**3 + x. Let g(s) = -7*s**4 + 18*s**3 + 32*s + 149. Let t(v) = 2*g(v) - 18*h(v). Find the first derivative of t(u) wrt u.\nAnswer: 16*u**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18156713*v**3 - 226213*v - 44 wrt v?\nAnswer: 108940278*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 453281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-6)*(-42)\/(-84). Let f(q) be the third derivative of -2\/5*q**5 + y*q**3 + 0 + 1\/6*q**4 + 0*q - 25*q**2. Suppose f(l) = 0. What is l?\nAnswer: -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253 (base 7) to base 2\nAnswer: 10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((5 + -3*sqrt(176) + sqrt(176)*-2 + -5)*-5)**2 + 0 + -1)*5.\nAnswer: 3299970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 947 = 5*z, 0*z + 3*z + l - 573 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/3 - 11*o**4\/24 + 76*o**2. What is the second derivative of k(z) wrt z?\nAnswer: -240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6 + 194. List the prime factors of t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 121, 97, 51, -23, -131, -279, -473, -719?\n\"Answer: -z**3 - 5*z**2 - 2*z + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 275106279 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153 - -250?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - k - 3. Let p(c) = 8*c**3 + 34*c**2 - 16*c - 52. Let z(j) = 6*p(j) - 102*y(j). Let n(t) = -385*t**3 - 49*t + 49. Determine 6*n(s) + 49*z(s).\nAnswer: 42*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24976557.\nAnswer: 3, 2775173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30824575?\nAnswer: 5, 1232983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(74\/(-259))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 34, 39, 44, 49, 54?\n\"Answer: 5*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1317158, -2634314, -3951470, -5268626?\n\"Answer: -1317156*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-28) + (-2)\/(-7). Suppose v - t + 3 = 0, -2*t = -5*v - 4*t + 6. Suppose v = -6*k + 9*k. Are k and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48\/19981 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + -1. Let t = 396\/7 - 57. Let m(u) = u**2 + 11*u + 14. Let s be m(-10). Which is the third biggest value? (a) t (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8902.143 to the nearest ten.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(63\/18))\/((-10)\/85)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*h - 7*u, -4*h - 2*u + 104 - 56 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/7? (a) -122637 (b) -1\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 43*m - 46*m + 21 = 0, -4*k - 22 = -2*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 19128 = -9*g. Let y = 1131 - g. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752 is divided by 1351?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 736*u**2 + 738*u**2 - 10 - 1476*u**2 + 10*u + (4*u + u - 4*u)*(0*u + 2*u - u) in the form s*u + q*u**2 + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/504*(-342)\/(-247)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, f: 1, h: 5, o: 3}. What is prob of picking 1 o and 1 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4550121.\nAnswer: 3, 168523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5905027*h*p - 858004*h + 3 wrt p?\nAnswer: 5905027*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8. Let z(p) = -p**3 - p**2 + p + 3. Let a be z(t). Solve a*u + s + 0*s = -10, -2*u = 2*s + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/12 - g**3\/3 - g**2 - 3*g. Let w(y) be the first derivative of t(y). Differentiate w(m) with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 38, 36, 34, 32?\n\"Answer: -2*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alllalalaoaalalllo. Give prob of sequence aa.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 853\/5 - (6 - (-96)\/(-15)). Let f(v) = -v**3 - 2*v**2 + 1. Let q be f(-3). Let p be (-15)\/(-6)*4\/q*19. Calculate the greatest common divisor of p and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51269.8 - -3?\nAnswer: -51266.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + o = 10, -2*l + 5*l = o + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -36 (b) -4 (c) -4\/161 (d) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 0*g + 7*g)*(5 - 2 - 2) - 61 - 56*g + 58*g + 40 - 45 to h*g + u and give u.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -32. Let t be 2\/(14\/33) + (-2)\/m. Suppose -t*f + 13 = -2. Solve -f*x + 2 = -7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t = -625007 + 619727 for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*j + 127400 = -274*j. Calculate the highest common divisor of 56 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-110) + 8\/(-20). Let n be 12\/(-15) + (-54)\/45. Let g = 88 + -265\/3. Which is the nearest to 3? (a) g (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 19*x - 10*x + 5*x in the form j + n*x and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 214*f**2 + 203*f**2 - f**3.\nAnswer: -2*f**3 + 417*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s. Suppose 0 = 5*x + 15, -2*x - 7 = -4*b - 5*x. Let p(d) = -14*d. Calculate b*p(q) - 3*i(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sixths of a week?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -435\/8*q + 297\/8*q**2 + 891\/8*q**3 + 81\/2*q**4 + 75\/8 = 0.\nAnswer: -5\/3, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 7:49 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0*g + 0 - 1\/60*g**5 + 0*g**4 + 0*g**3 - 3*g**2. Let l(h) be the first derivative of -h**3\/3 - 2. What is y(l(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60230086 divided by -14?\nAnswer: -4302149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (-38 - -34)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13\/u**(2\/5))\/(u**(-38\/5)*u*(u*u*u**(-10\/11)\/u)\/u) assuming u is positive.\nAnswer: u**(1106\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156336529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/27 - 6 - (501\/9 + -33 + 40).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 13*l + 4858. What is a(84)?\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -27) + (-4)\/(10\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2638047852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3280 or 3281?\nAnswer: 3280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 9*x**2 - x - 2. Let s be d(-9). Suppose 0 = 2*o - s*o - 6400000. What is o rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30909455329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 0 + (-2 - -44)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + b = 315, -3*d + 47*b + 105 = 53*b for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*q - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 416, 3140, 10486, 24764, 48284, 83356, 132290, 197396?\n\"Answer: 385*c**3 + c**2 + 26*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drkd when four letters picked without replacement from gkdnrgggrndggrr?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3*21\/(-2). Let s = n - -30. Let t = s + -10. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000010101000 (base 2) to base 14\nAnswer: 477a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/2 + 2898672*g - 4201149681792 = 0. What is g?\nAnswer: 2898672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -15.5. Let r = 10 + m. Let x = -0.6 - 2.4. Which is the smallest value? (a) r (b) 1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 17*o - 27 = -14*o, 4*o = -5*l - 5. Solve 3*w = -4*u + 2*u - 13, l*w + 17 = 2*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 4660175?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21*l**2. Suppose 2*p + w = 4, -4*w - 3 - 5 = 0. Let x(z) = 6*z - p*z - 5*z + z. Give x(o(i)).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2274 and 48489?\nAnswer: 36754662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {a: 2, f: 2, u: 4, p: 1, d: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2108 - 2096. Which is the nearest to -0.1? (a) s (b) 2 (c) -3\/8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800199?\nAnswer: 31, 59, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (10 + -2))*(-3)\/(-3). Let g be 11*(1\/n)\/((-3)\/15). Solve 14 = 5*l - g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*l + 6 + 4, 0 = -h + l + 2. Suppose h = 4*w - u - 8, -3*w - 2*u - 7 = -2*w. Put 0.2, 0.5, w in increasing order.\nAnswer: 0.2, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382479202 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 14*x**2 - 24*x - 1. Let d be g(-12). Sort -4, d, -6.\nAnswer: -6, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1196 and 69\/2283034.\nAnswer: 105019564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 668801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/2, 0, -0.8, -0.09 in ascending order.\nAnswer: -0.8, -0.09, 0, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7*o)**(5\/11) assuming o is positive.\nAnswer: o**(40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 833005231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 8 - 28. Let h be ((-5)\/10)\/(20\/(-24)). Sort v, -0.4, -0.3, h in decreasing order.\nAnswer: v, h, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/70*2\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1423673*o**6*y**2 - 13*o**2*y + 4*o**2 + 24*o*y**2 - 35*o*y wrt o.\nAnswer: -170840760*o**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Put g, -0.11, 0.3 in increasing order.\nAnswer: g, -0.11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 2 = -2*i, -2*q = -4*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(2904) - sqrt(2904))\/(sqrt(48)\/(sqrt(36)*4)))**2.\nAnswer: 1707552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/33603 and 131\/138?\nAnswer: 67206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**3 + k**2 - 4. Let h(g) = -g**3 + 5 - 4*g**3 + 3*g**2 - 2*g**2 - 8. Determine -4*h(i) + 3*n(i).\nAnswer: 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**2 + 2*x**4 + 3*x**2 + (-4*x**2 + 3*x**2 + 0*x**2)*(-2*x**2 - 3*x + 3*x) - x**4 + x**4 - x**4 - 12*x**4 + 3*x**4 + 2*x**4.\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154 + 242?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100518041.\nAnswer: 13, 739, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + (-4 + -3*(-2 + sqrt(612) + (sqrt(17) - (2*sqrt(85))\/sqrt(5))))**2)*-3.\nAnswer: -11490 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**2 - 170*j + 725 = 0 for j.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*p - 17 = 7*q - 13*q, p = q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*y - 15 - 14, 2*d + 2*y = 18. Suppose -2*q - 4 = -2*r - 2*r, -3*r + d = -4*q. Solve i + 3 - 5 = 0, r = 3*c + 4*i + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 31 = 5*k + 5, -2*k + 5 = u. Suppose 0*b + b = x - 254, -3*x - 3*b + 768 = 0. Suppose x = -o + k*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16)\/(l\/(l\/l**(-5\/6))))\/((l\/(l*l\/(l**20\/l)))\/l**(-2\/13)) assuming l is positive.\nAnswer: l**(-2599\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 132*c**2. Let d(l) = -l - 1. Let g(m) be the second derivative of -m**2 + 51*m. Let t(v) = 2*d(v) - g(v). Calculate z(t(s)).\nAnswer: 528*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4\/4 + 4*p**3\/3 + p**2 + p + 332. Determine i(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -5564.\nAnswer: -2225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215047*b**3 + 2*b**2 + 20*b + 7235.\nAnswer: -1290282*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(2\/2)*(-1574 + 1564). Suppose 4*y = -2*i - 2, i - 11 = 3*i - 5*y. Let u(w) = -w**2 - w + 6. Let m be u(0). Put l, m, i in ascending order.\nAnswer: i, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f - 16321 = -1821. Let m be 10*(-30)\/f + (-312)\/470. Which is smaller: m or 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-581)\/(-180) + (-13)\/65 + (14 - 17).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126379 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 2 (c) -1.1 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 25, 2*y = -2*y - 2*h + 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.319, -33, -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54191687 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -747a?\nAnswer: -7480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 2*x**2 + x + 1. Let b be p(2). Suppose b*k = k + 26. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrkr when four letters picked without replacement from {k: 3, r: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3591, 3584, 3573, 3558, 3539, 3516, 3489?\nAnswer: 3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53526*c**4 + 64993?\nAnswer: 214104*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.8065 + 21.3. Let p = -0.48 + t. Round p to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10805004 by 477.\nAnswer: 22652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-50)\/(-24) - (1 - -1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 3487296*p + 31385826.\nAnswer: -2*(p - 1743657)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -24*p + 23. Let h(u) = 7*u - 6. Give 9*h(b) + 2*y(b).\nAnswer: 15*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(720) + 1 + 0 - (sqrt(720) + 5*(1 + sqrt(720) + sqrt(720)) + sqrt(720) - sqrt(720)) - ((sqrt(720) - (2 + 1 + sqrt(720))) + -2)))**2*-1.\nAnswer: -72001 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19664056 + -3?\nAnswer: -19664059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -414, -622?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57946398 or 57946399?\nAnswer: 57946399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 - 71322.34?\nAnswer: -71420.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.123 + -0.293. Let k = 0.016 + h. Sort -2\/13, -0.1, k in descending order.\nAnswer: -0.1, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d. Let p = 20 + -20. Let u be m(p). Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 + -4 - -10) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 311*h + 107*h**4 - 309*h + h**3 - h**3 in the form u*h**2 + a + f*h**4 + o*h + z*h**3 and give f.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/24*-4*-9. Calculate the highest common factor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 1\/3*c**3 + 2*c + 2 - 3\/2*c**2. Factor j(p).\nAnswer: (p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16871*c**3 - 2366*c**3 - 32136*c**3.\nAnswer: -51373*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537*g**3*h*j**3 + 2*g**3*h*j + 169018*g**3*h + 10169*g**3*j**3 - 2*g**3 + 23*g*j**2 - j**3 wrt j?\nAnswer: 3222*g**3*h + 61014*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-4*sqrt(6048) + sqrt(6048) + sqrt(6048) - sqrt(6048))\/(sqrt(12)\/(sqrt(12)\/sqrt(6)) + sqrt(6)) + -1)**2*4)*6.\nAnswer: 864*sqrt(7) + 54444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6332 (base 7) to base 3.\nAnswer: 10001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbfptbrfbbfff. Give prob of sequence tr.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2592*d + 23 = 3*j - 2597*d, 16*d + 16 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15263448*l**3 + 10*l**2 - 10*l**2 + 3.\nAnswer: 15263448*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*o, 0*u + 2*o = -5*u. Suppose u = -7*x + 3 + 18. Suppose 7*a - 25 = x. Solve -5*g - 3 = 4*b, g + 0*b - 9 = a*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2660 is divided by 1272?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + -0.22. Let y = -0.31 + a. Let f = y + 0.490088. Round f to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((129\/(-5412))\/(-43)). Calculate the greatest common factor of r and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -591, -1188, -1787, -2388, -2991, -3596?\n\"Answer: -z**2 - 594*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:46 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from mfoqqvoofvfmo?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*n - 70, -4*j + 0*n = -4*n + 64. Let q = 0 - j. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1397*g - 1502*g + 1155 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/35)\/(4\/(-14))*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42082, -42080, -42080, -42082, -42086, -42092?\n\"Answer: -t**2 + 5*t - 42086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1921, 1928, 1935, 1942, 1949?\n\"Answer: 7*m + 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(384)\/sqrt(8) - sqrt(9)\/(sqrt(3) + sqrt(108) - sqrt(3))) + -5 + sqrt(432) + -1 + sqrt(48) + 2.\nAnswer: -4 + 55*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = 15. Let g = 5 + -2. Let w(m) = 10*m + 3 + g - 8*m. What is w(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffmmfffmfmmfffmf. What is prob of sequence mfmf?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51028*z**2 - 51089*z**2 + 4*z**3 - 5*z**3.\nAnswer: -z**3 - 61*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - o = 14, 0 = -c + 22*o + 26 + 60 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/6 + 3*z**3\/2 + 2*z**2 - 3*z - 3. Let x(b) be the first derivative of c(b). List the prime factors of x(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 297.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -6 - (-7 + -2). Suppose 4*r - d = 5*l - 2, -3*l = -3*r + 6. Solve 0 = -n + r + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1431*z**3 + 1940*z**3 + 1771*z**3 + 204 - 204.\nAnswer: 2280*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 7*o + 46 + (-o + 0*o + 7*o + (-4*o + 2*o + 3*o)*(-3 - 3 + 5))*(1 + 4 - 4)*(0 - 4 + 3) as d*o + w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 0.12. Round j to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 58*j - 1. Let i be w(4). Find the second derivative of 128 + 132 - 205*a**2 - 260 + 54*a - i*a wrt a.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5171*s = 327*s - 623*s - 158984 + 422234 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3253674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 501756.\nAnswer: 19066728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l. Let b(c) = 152870558*c. Determine n(b(h)).\nAnswer: 305741116*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 3*t + 9. Suppose 9*s - 18 = 6*s. Let g be (-4)\/(-78)*s\/16. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 158*m - 625. Let l be u(-51). Calculate the highest common factor of 755 and l.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21\/4*f**2 + 1\/4*f**3 + 147\/4*f + 343\/4 = 0. What is f?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c**3\/3 + 307582*c**2\/3 + 260273*c\/3 - 15774 = 0.\nAnswer: -1, 2\/13, 23661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, d: 8, q: 3, j: 4}. Give prob of picking 2 s.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32666 (base 8) in base 4?\nAnswer: 3112312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = -4*s, -2*s - 2*s + 4 = i. What is the least common multiple of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010010101010111001 (base 2) to base 7\nAnswer: 12364012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128583402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l + 6 = -41*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 2*r**2 - 13*r. Calculate the smallest common multiple of 10 and i(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -34*u - 556. What is i(-17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:48 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 12 + 82 = 0. Suppose 0 = -d*u + 13*u - u. Factor 6\/5*i**3 + 0 + u*i - 2\/5*i**5 + 0*i**2 - 4\/5*i**4.\nAnswer: -2*i**3*(i - 1)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95710 * -28.7\nAnswer: -2746877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Let k = -27 + 82\/3. Sort k, n, -0.5 in decreasing order.\nAnswer: k, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from sphhxtg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + w + 10 = 8*j, 0 = -2*j - 5*w - 11. What is the units digit of (-1 - (j + 3))\/1*-37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2456 = -173*i - 6262 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769 = -2*i - 779. Suppose 0 = 5*u - z - 111, 3 + 1 = z. Let v = u - 18. Sort -6, v, i.\nAnswer: -6, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*n = -298*n - 84 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1485*r**3 - 7*r**2. Let o(n) = 742*n**3 - 4*n**2. Calculate -4*a(b) + 7*o(b).\nAnswer: -746*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + y - 1 = 0, h - y + 6*y = 5. What is the second derivative of 2*q + 2*q**4 + h*q + 2*q**4 - q wrt q?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - q = 2*q - 13, -12 = w - 2*q. Let l be (-3 - 55\/(-10))*w. Which is greater: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 9, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u + 294*u + 1742 = 6488 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 8*f**2 + 7*f - 20. Suppose t = m + 4 + 9, 2*m = -3*t - 6. Let z be x(m). Let j be (-1)\/z + (-170)\/220. Put -3, j, 2 in decreasing order.\nAnswer: 2, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 5)*(199*q**3 - 2*q**2 - 199*q**3 - 3*q**4) in the form f*q + x + c*q**4 + p*q**2 + m*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(6\/(-22) - 340\/1496).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23872 - -36?\nAnswer: -23836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 4*b + 4 + 0*b**2 + 4\/3*b**3 - 3\/2*b**4. Let o(h) = -h**3 + h**2 + 1. Calculate -4*o(l) + p(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 1 = 7*p. Which is the closest to -3? (a) p (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g - 7. Suppose -2 = c, 5*q - 4*c + 4 = -6*c. Calculate a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.1282 to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20543 + 20549 - 1271*x - 41092 to the form a*x + c and give a.\nAnswer: -1271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a - 1048*a**2 - 125 - 3*a + 240 - 117 + 0*a in the form f*a + m + q*a**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 53, 5, 0.08 in descending order.\nAnswer: 53, 5, 0.08, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 91*b**8\/4 - 164*b**4\/3 + 4*b - 124. Find the third derivative of g(j) wrt j.\nAnswer: 152880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 15. Let p = q + 5. What is the second derivative of 8*s - 7*s**4 + 2*s**2 - p*s - 2*s**2 wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by -81\nAnswer: -89\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*b + 37*b - 98 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -1.3. Let h = -1.3 + 0.3. What is the closest to h in -5\/2, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 410 = 6*y - 5*v, 5*y + 2*v = 504. Suppose -19*g - 24 + y = 0. What is the remainder when 11 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 69*i**2 - 145*i + 7. Give u(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 8*l)*(l**2 + 2*l**2 - 2*l**2)*(-392*l + 2010*l - 96*l).\nAnswer: -12176*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) -0.01 (c) -2\/19 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210575566.\nAnswer: 2, 17, 6193399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 51051.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -27. Suppose -3*s + k = 2*s, 5*l - 2*s = 169. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 11*m. Suppose 2\/3*y + m + 1\/3*y**2 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7181 - 3630532\nAnswer: -3630531.2819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484560 divided by 96912.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 27.914. Let m = -1.914 + u. Put -0.01, 3, -4, m in increasing order.\nAnswer: -4, m, -0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73077 and -0.1875.\nAnswer: 13701.9375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050759?\nAnswer: 61, 33619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 3875*u**3 - u**2\/2 + 6963*u + 3210. Find the second derivative of s(z) wrt z.\nAnswer: 23250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.19 (b) 4 (c) 1\/174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111011100 + 11110101010?\nAnswer: 100111110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8)\/(((-225)\/240)\/15)*(-111)\/(-2).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.4481*-4.\nAnswer: -29.7924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.216 - 0.0788. Let x = 0.13719333 - m. Round x to seven dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -91, -153, -235, -343, -483, -661?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/sqrt(28))**2 + sqrt(1008)*1 - (((sqrt(245)\/sqrt(5))\/sqrt(7))**2 + (sqrt(7) - (sqrt(7) - (sqrt(14)\/sqrt(2) - sqrt(7))*-6))**2)) + -5.\nAnswer: -41\/4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from duudu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22019 and 7081?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228532169?\nAnswer: 61, 337, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 32 = -10*h. Solve 0 = w - 2*l + 3 - 6, -4*w = -4*l - h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(5\/70*7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = -4*b. Suppose 0 = 3*m + 90 + 18. Let k = -18 - m. Solve k = y - b*c, y - 18 = 2*y + 4*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:04 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26523660 divided by -442061.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2)\/((-2)\/8). Let y be ((-117)\/(-6))\/(2\/f). Let d = y + 74. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -29, -49, -87, -149, -241, -369?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehxbseb. Give prob of picking 1 s, 1 h, and 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/5))**(-44)\/(j**(6\/5)*j**7\/j) assuming j is positive.\nAnswer: j**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 1 - (5 - 2). Let b = 7 + w. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -54*((-10)\/(-4) - 3). Let y be ((-3)\/w)\/(2\/1671). Let u = y + 93. What is the biggest value in 4, -1, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2425*p = 2432*p - 63 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16 = -42. Let y = -17 + l. Suppose 2*p + p - y = 0. Solve -p*q + 5*r + 28 = r, -3*r - 25 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11134104 (base 5) to base 9\nAnswer: 161160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.984 + -0.684. Let u = 2 - 2.2. What is the second biggest value in 0.4, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 79001541.\nAnswer: -23700462.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 976, -3523, -13498, -28949, -49876?\nAnswer: -76279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 + f. Let q(j) be the second derivative of -j**5\/20 - j**3\/3 - j**2 + j. Suppose 45*n - 1396 + 1306 = 0. Calculate n*u(c) + q(c).\nAnswer: c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3417329*l**2*n**2 - 4*l*n**3 + 954*n**3 - 206*n**2 - 3*n - 1 wrt l.\nAnswer: 6834658*l*n**2 - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 205, 3\/158, -67 in decreasing order.\nAnswer: 205, 3\/158, 0, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 66 = -5*x. Let f(v) = -2*v + 3. Let h(i) = -i. Let u(j) = f(j) + 2*h(j). Let y(g) = 25 + 7*g - 29 - 2*g. What is x*u(z) - 5*y(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13241732?\nAnswer: 2, 7, 53, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - 5*n, 0 = -8*m + 9*m + 5*n + 12. Suppose -400 = -m*p - 48. What is the greatest common factor of p and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*q - 5 = 0, -o - q = 4 - 24. Suppose o*h = 4 + 200. Solve i - 4*w = 11, h = 4*i - 3*w - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/20 - t**5\/20 - t**4\/12 - 125*t**2. Let n(z) = -5*z**3 - 2*z**2 - 2*z. Determine -3*i(g) + 4*n(g).\nAnswer: -2*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89373*y + 1 + 10 - 11.\nAnswer: 89373*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 28449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:00 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1492 or -6318?\nAnswer: -6318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 424395 divided by 84879?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2305 - 431 = 49*x - 193*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/11 (b) 1.23 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7192 take away 4.53?\nAnswer: -7196.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5 + 206613*r**4 + 3555654213*r**3 - 60499439397*r**2 + 110331089688*r - 53387511120 = 0. What is r?\nAnswer: -34444, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 189479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.5. Let j = y - -4. Let g = -3 + j. Sort -2, g, -1\/2 in ascending order.\nAnswer: -2, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 13*c**2 + 30*c - 4. Determine r(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -28. Let a be (-4)\/(-18)*d - 2157\/630. Let p = a + 20\/7. What is the third smallest value in -2, p, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 20*z**2 + 9*z. Let d(m) = -39*m**2 - 17*m. What is 11*a(o) + 6*d(o)?\nAnswer: -14*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/5 - 300171*z**4\/5 - 15015753874*z**3\/5 - 250292561334952*z**2\/5 + 3381589282677828*z\/5 - 1628219624017181\/5 = 0. What is z?\nAnswer: -50033, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w. Let u be (-166)\/(-8) + 2\/8. Let b be 8*(2 + u\/(-12)). Let a(s) = 0*s**2 + b*s**2 + 0*s**2. Determine v(a(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 + 39*g**3 - 210 + 3*g**3 - g - 46*g**3.\nAnswer: -4*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12721, 12722, 12699, 12640, 12533, 12366, 12127?\nAnswer: 11804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 12*g - 15. Let c be d(-10). What is the units digit of (2 + 3)\/c*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2. Let c(p) = -3069214*p. Give g(c(t)).\nAnswer: 37680298311184*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 4\/9, -2\/23, -2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28144169 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.545 + 1143000259.\nAnswer: 1143000259.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -8. Suppose 12 + 6 = -5*l - 4*n, 2*l - i*n - 2 = 0. Is -178*(0 + 1\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - g - 1. Suppose -7*r = -9*r + 32. Let x = r - -28. Let l = x + -45. Calculate m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 4 = -13*v. Suppose 3*a = v*q + 25182, q + 6296 = 2*a - a. Is q\/(-14) - 48\/84 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -32. Let x(h) = 7*h**2 + 4*h + 3. Let i be x(y). Let o(z) = -z**3 + 6*z**2 + 14*z - 6. Is o(i) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:30 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003905 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268 - 169. Suppose -4*q + 2*m = -92, m - 79 = -0*q - 3*q. Calculate the remainder when c is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -12 + 21, 3*l + 5056 = 5*k. What are the prime factors of k?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.01 * -101862\nAnswer: 204742.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13515, 13495, 13475?\nAnswer: 13455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i + 1. Suppose -2*f - 8 = 0, -3*j + 2*f + 7 = f. What is the remainder when -2 - 1\/((-2)\/36) is divided by u(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:22 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583847 is divided by 1501?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbhzzhwwjwvh. Give prob of sequence zhb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.005 - -267.205. What is a rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, s: 4, h: 3}. What is prob of sequence hh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, g: 1, a: 1, d: 1, b: 1}. Give prob of sequence qba.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12627201 or 1?\nAnswer: -1\/12627201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882 = 33623*w - 33602*w for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.12 in 5, 3, -2\/3, -0.4, 218?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 8*u**4 + 27*u**3 + 9*u**2 - 32*u - 12 = 0.\nAnswer: -2, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1843 + 1861. Let x(p) = -p + 15. Give x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2378*n + 156. What is the least common multiple of b(3) and 4?\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22249 and 22192?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 17*a + 5. Give m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 34*s**2 - 17*s + 49. List the prime factors of m(14).\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 61, 1\/8, 1, -45?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, t: 4}. Give prob of sequence tt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 302120 (base 4) in base 16?\nAnswer: c98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7319 a factor of 552975102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3937 = 115*n + 1752 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 3:02 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {v: 1, b: 1, g: 1, m: 1, i: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-8) + 1)*34. Let n(s) = s**2 - 24*s - 17. Let p be n(z). What is the units digit of (p\/(-6))\/(4\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137752215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2 - 33*z - 513. Is q(-19) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -40*f**3 + 4*f**2 + 3*f + 4. Let z(h) = -79*h**3 + 7*h**2 + 5*h + 7. What is 7*w(r) - 4*z(r)?\nAnswer: 36*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531 (base 11) to base 6.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20693213.9 to the nearest 1000.\nAnswer: -20693000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 11 - 8 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 10*l**2 - 8*l + 20. Determine o(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, 21388, -2\/5, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -11*r**7\/6 - 269*r**4\/6 - 2*r - 127. What is the third derivative of o(s) wrt s?\nAnswer: -4620*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*23.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98218930 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*b**2)*(-3*b - 3*b + 7*b + (-2 + 4 + 1)*(3*b - 3*b - b) - 102 + 102 - 38*b - b) to the form y*b**3 + n*b**2 + z*b + q and give y.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 12490 + 2*u**2 - 12505 - 7*u**2 + 13*u. Determine n(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129184 and 2592.\nAnswer: 10463904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/8881 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -16*y + 804. Let z be d(34). Calculate the greatest common divisor of z and 2470.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - (-45)\/12. Let t(z) = 11*z - 4. Let d(j) = 6*j - 2. Suppose 8 = -q + 2*q. Suppose n - 1 = -q. Give n*d(h) + y*t(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -655178*h**2 - 552984*h.\nAnswer: -1310356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 9*a + 19. Let o be a\/(9 - 1)*0. Which is smaller: o or 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.85 + -35.79. Which is the closest to -0.1? (a) -3 (b) 4 (c) f (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2647, 1958, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from {n: 2, r: 1, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-3) - ((-10)\/(-15) + -1). Suppose -2*v + 6*v = m - z, -10 = v - 3*m. Let u(x) = 25*x**3 - x**2. Determine u(v).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 12. Let z be h(10). Let a = 0 + 2. Let u be 0\/a - 68750*z. Round u to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) + (-20)\/(-8). Suppose -2*r = o - 20. Suppose 2*y = n - 16, -3*y + 8*y = -20. Do r and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*k - 3*k + 0*k)*(-10 + 10 + 4*k) + (0*k + 2*k + 0*k)*(265 + k - 3*k - 239))*(-2 - 1 - k + 2).\nAnswer: -4*k**3 - 56*k**2 - 52*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 56. Does 21 divide (t\/40)\/((-1)\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38127.57 and -2.6900541?\nAnswer: 38130.2600541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 39, 136, 325, 636, 1099, 1744, 2601?\nAnswer: 3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9654?\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1479?\nAnswer: 1\/1479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-11 + 6 - -6 - 59) - (17 - 6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32362651*m**3 - 3*m**2 + 80*m - 50580 wrt m.\nAnswer: 194175906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + ((-182)\/(-49) - 1). Which is the closest to x? (a) 5 (b) -3 (c) 1\/3 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72607 or 1669995\/23?\nAnswer: 72607","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -1)*16\/(-12). Suppose 0*y + y = -o, -j - 13 = 5*y. Factor -1 - j*f + 2*f + 2*f**3 + f**4 + 3*f.\nAnswer: (f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11470 - -13252. Calculate the greatest common factor of 1089 and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49.661 and 0.056?\nAnswer: 2.781016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 6*m**2 - 2. Calculate p(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 28 - 10. Let d(w) = -30*w**2 + w**3 - g*w**3 + 37*w**2 - 8*w + 9 + w**3. Give d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let n be (u\/(-4))\/((-3)\/18). Suppose 4*m = n*m. Solve m = -2*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 6*j + 3. Let i be f(-7). Let l(s) = -4*s**2 - 455*s + 2*s**2 + 444*s - 12. Let k be l(-3). What is the smallest value in i, k, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69a2 (base 13) to base 16\nAnswer: 39f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32140076 by -2467.\nAnswer: -13028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -5.6. Let x(k) = -k - 2. Let g be x(-3). Suppose w - 3 = g. What is the third smallest value in m, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12 = -2*k. Calculate the least common multiple of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k - 42*k + 99*k)*(-k**2 + 3*k**2 + k**2 - k).\nAnswer: 207*k**3 - 69*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 659 + -660. What is the nearest to 0.7 in 0.2, 1, 6\/11, g?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40287 and 245.\nAnswer: -9870315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-12) + (-24)\/(-9). Suppose 36 = n*w + 12. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 18*n**4 - 81*n**3.\nAnswer: 3*n**3*(n - 3)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*c**2 + 4*c + 96\/7.\nAnswer: 2*(c + 6)*(c + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, -0.47, -0.5, 0.4, -508, 1?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19418368563 plus 4?\nAnswer: -19418368559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 41*b**2 - 9*b + 28. Does 10 divide x(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 7*a**2 + 4*a + 14. Determine x(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001892 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 18 = -3*w, -3*w - 2*s = -3*s - 22. Let j = w + 4. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -85*j**2. Let w(z) = 5*z**2. Determine w(y(q)).\nAnswer: 36125*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316051802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23992663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19709 + 1484 - 2*v + 3*v - 1290.\nAnswer: v - 19515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 8*v - 9. Let o be n(5). Let m = -5 + 8. Let h = 27 - m. What is the greatest common factor of o and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2\/19957 (c) -0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:34 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215\/58 + -122\/29. Let p = -0.1 - -0.2. What is the nearest to p in -1, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 202872.\nAnswer: 5071800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 21 = -4*a, 3*p + 2*a + 103 = 0. Let u = 39 + p. What is the lowest common multiple of -1 + (-1 - -4) + 8 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let b = -23 + 56. Suppose -b + 3 = -6*g. Let j(c) = 5*c + 3*c - g*c. Calculate j(r(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 96 = -21*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:40 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 69\/1 - (-30)\/18*-3. Suppose r = 150*g - 142*g. Let g + 4\/3*y**2 + 20\/3*y = 0. What is y?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.014 - -0.063. Let i = 4.049 - n. What is the fourth smallest value in i, 0.2, -1\/4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*b**3 - 3*b**4 - 2*b + 2*b**3 - 2*b**3 + 0*b**3 as x*b**3 + k*b + m*b**2 + c + t*b**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 146254637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -34, 0, 78, 2, 1, 5 in descending order.\nAnswer: 78, 15, 5, 2, 1, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 293702328 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (9 + -42 + 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3588\/(-396) - -9 - (8 + (-18158)\/2310)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i + 4416 = 199*i - 314*i for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1720 (b) -2 (c) -3 (d) -0.2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 + -99. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y**(-36)*y)*y)))**(8\/13))**29 assuming y is positive.\nAnswer: y**(8352\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/180 + (-3097)\/(-342)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.17 and 1626.066.\nAnswer: 1625.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 - 5. Let l(z) = -9*z**2 - 138*z + 984. Let y(s) = 3*i(s) - l(s). What is j in y(j) = 0?\nAnswer: 9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*f*o**2 - 3*f*o + 547*f + 6*o**3 wrt o.\nAnswer: -22*f*o - 3*f + 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 232.4?\nAnswer: 250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1906*v - 2795*v - 35 + 61 - 26 in the form t + a*v and give a.\nAnswer: -4701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -235389730 minus 2?\nAnswer: -235389732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2133123 is divided by 3634?\nAnswer: 3599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321649?\nAnswer: 263, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*((0 + 2 + 0)*(1 + 2*a - 1) - 2*a + 4*a - 3*a - 5*a + 2*a + a)*((-3 + 0 + 8)*(5 + 2 - 5) - 4 + 9 + 0).\nAnswer: 45*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 3:12 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/3 - 14926*v**2\/3 - 9280240*v + 9285216 = 0. What is v?\nAnswer: -3732, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:14 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23104421 (base 5) to base 13.\nAnswer: -73205","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 7*b**2 + 4*b - 9. What is the tens digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 4865168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -31*h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42583833.\nAnswer: 3, 23, 47, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.7847 less than 0.2?\nAnswer: 32.9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -363370?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -23 (b) -0.5 (c) -0.2 (d) -11\/87 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1173 + 80*v - 1173.\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22258297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 2*b**2 - 2*b**2 + 6*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2541 - 1707392\nAnswer: -1709933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 16 = -n, 4*n = n + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/750 - 296\/(-50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 2*p + 10, -3*n + 0*n = -2*p + 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -272*-2\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 222.1 - 222. Let k = -0.21 + 0.1. Is k != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -7. Let n = 10 + o. Which is the nearest to n? (a) -2 (b) -1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-78))\/2*(-3)\/(-6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c**2 - 166*c**2 + 40*c**2 + 43*c**2 + 45*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 977*a**2 - 2927*a - 68. Calculate t(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35362249?\nAnswer: 13, 19, 61, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 14*u = 244. Calculate the remainder when u is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 17 + 57 = 0. Let p be (m\/22)\/((-16)\/176). Let o = 2 + -7. Put o, p, -1 in ascending order.\nAnswer: o, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 19. What is p(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2 + sqrt(192) + 1 - -4*(-1 + sqrt(192) + sqrt(192))) + 2 + (-1 + sqrt(192) + 4 - sqrt(192)) + -2))**2.\nAnswer: -7200*sqrt(3) + 388900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.11 - -0.11. Let n be (2 - 1)\/((-6)\/(-54)). Let p = n - 6. Which is the biggest value? (a) z (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let f(g) = 23*g**2 - 5817*g - 525. Let p be f(253). Sort 4, z, p in decreasing order.\nAnswer: 4, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 0.4 (c) 393122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 14*j - 11. Let z be g(13). Let i(f) = -28*f**2 + 5. Let w(u) = 27*u**2 - 4. Calculate z*i(q) + 3*w(q).\nAnswer: 25*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - i - 1. Let b(c) = 10*c**2 + 5*c - 51. Give -b(s) - 4*y(s).\nAnswer: -2*s**2 - s + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -428 + 80180?\nAnswer: 79752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 86.7778?\nAnswer: -2863.6674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**3 + 2*j**2 - 2*j + 1. Let y be r(1). Let d be (6\/(-5))\/(y\/(-30)). Is 1290\/5 - (d - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -214, -197, -180, -163?\n\"Answer: 17*q - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4571016 rounded to the nearest ten thousand?\nAnswer: 4570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, 0.7, -16\/9, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-1\/12)*d**(1\/13)*d*d*(d**2*d)**(5\/7) assuming d is positive.\nAnswer: d**(5791\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*j - 40, -19*v + 21*v = 8. Solve -j*c = 10 + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y + 225. Let x be q(-21). Which is greater: x or -10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.64 + -23.64. What is the fourth smallest value in -0.595, -0.3, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/410 and -41\/170110.\nAnswer: 6974510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.537475 - 0.0765.\nAnswer: 18.460975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 172 = -4*x - 159, 3*h + 2*x = 181. Suppose -h + 133 = 2*b. Calculate the greatest common divisor of b and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i - 17*i + 5. Solve 5*l + 3 = -4*a, 5*a - l + i = 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-16))\/((15\/36)\/(60\/36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 28, -192, -500?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*q - 174 + 28 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f*(f\/(f\/(f**(2\/7)*f*f)))\/f)\/f)\/f*f**(-3\/7) assuming f is positive.\nAnswer: f**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, t: 4, p: 2, c: 2}. What is prob of picking 1 s, 1 p, and 1 t?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(72)))**2 + (sqrt(108)\/sqrt(54))\/sqrt(9).\nAnswer: 2593*sqrt(2)\/3 + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 7. Let u be k(-7). Suppose -p - 2 + 3 = u. Solve -2*d - p = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -407411.5?\nAnswer: -407411.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-10))\/(2\/76). Suppose -3*q = 3*v - d, 2*v + 2*q - 80 = -2*v. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 4. Let g be c(2). Let n(m) = 4*m**2 - 19*m - 16. What is the hundreds digit of n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161 or 36?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 4 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12306259 from 0.3.\nAnswer: -12306258.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 + -197.1. Let g = c - -2.1. Let o = g - 11. Is 3 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + -0.3. Let l(a) = -a**2 + 8*a - 2. Let q be l(5). Let f be (-20)\/(-40)*(-4)\/q. What is the smallest value in f, 3, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10295.\nAnswer: 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 9. Let x(h) = 1. Let q(d) = k(d) + x(d). What is q(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.15 + 0.05. Let n = m + -1. Which is the nearest to -1? (a) 1 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:20 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385508542?\nAnswer: 2, 11, 83, 758767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:13 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1470)*1)\/sqrt(6))**2 + (-4 + sqrt(80) - (sqrt(245) + 1 - sqrt(5)))**2 + -4.\nAnswer: 20*sqrt(5) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:57 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -643, 2, 3, 1, 4 in decreasing order.\nAnswer: 4, 3, 2, 1, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9 + 26 - 2*f + 6. Let y be h(12). Which is smaller: y or 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 16*p**7\/399 + 4*p**6\/57 - 36*p**5\/95 + 37*p**4\/114 + 2*p**3\/57 - 3*p**2\/19 - 24*p. Determine y, given that q(y) = 0.\nAnswer: -3, -1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbggvvvvbv. What is prob of sequence bgb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, d: 13}. What is prob of sequence ss?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 41*n**2 + 36*n + 8. Let l be i(-40). Calculate the highest common factor of 126 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8783*v = 161678 - 3584 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzz when three letters picked without replacement from zgz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5788, 5956, 6236, 6628, 7132, 7748?\nAnswer: 8476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 128*p**2 + 210*p + 10449. Let f be q(-129). Determine o so that -52\/11*o**4 + 0*o + 26\/11*o**3 + 14\/11*o**5 + 12\/11*o**2 + f = 0.\nAnswer: -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 + 2. Let g be 2\/4*(-2 - 6). Let n be (g + 5)\/(0 + -11). Do n and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2*u**2 - 6*u**2 + 6*u**2.\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169, -191, -213?\n\"Answer: -22*d - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 132, 256, 366, 456, 520, 552, 546?\n\"Answer: -c**3 - c**2 + 134*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 918329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -27*k**3 + 9*k**2 + k. Let q(a) = -a**2 - a. Suppose 0 = 6*x + 7*x - 13. Let w(j) = x*i(j) + q(j). What is the third derivative of w(f) wrt f?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 33 - ((-2 - -2) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z - 3*a + 63, -105 = -4*z + a. Suppose -24*d = -z*d + 1140. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 2*g - 3. Let n(q) = -2*q**2 + 2*q + 2. Let z(v) = 3*n(v) + 2*y(v). What is the second derivative of z(h) wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(77)\/(sqrt(22)\/sqrt(2)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 16794?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 26*d. Let t(v) = -v**2. Calculate t(u(n)).\nAnswer: -n**4 + 52*n**3 - 676*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -4467350?\nAnswer: 4467352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 591*b + 1761. List the prime factors of d(9).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p + 0*p - 5818 + 5809 - p. Suppose 0 = -11*b - 55 - 22. What is m(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*c + 4*j + 143, -2*j = -5*c + 138. Suppose -4*v = 4*z - 0*v + 4, 0 = -3*z - 4*v. Let g be (1\/c)\/((-1)\/z). Put 0.5, -0.6, g in decreasing order.\nAnswer: 0.5, g, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 477*u**3 - 3 - 2.\nAnswer: -477*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13885 is divided by 6825.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 - 2434 + 2459 + 21*g**2 + 34*g**2 to the form u*g**3 + n*g + j*g**2 + o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -27) + (-5 - (9 + -14) - (-29 - -32)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttttttttccttctttt.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-12)*0 + 141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 765226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59652?\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001000100000100000 (base 2) to base 8.\nAnswer: -6104040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 221494320?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7457, -16233, -24983, -33713, -42429?\nAnswer: -51137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969732 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 4 (c) 295 (d) -3 (e) 5 (f) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let c(t) = -96*t + 76*t + 135*t - 115*t - 3*t**2 - t**2 + t**3. Suppose -5*j - 2*l - 10 = 0, -j - l - 2 = -0*j. Determine j*c(p) - 9*x(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 34. Let j = w - 43. What are the prime factors of 57 + (8\/j - -6)\/2?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - k - 3055 + 3031.\nAnswer: 2*k - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18023 - 18019. Let s be 0 - 2 - (-1 + -76). What is the remainder when (s\/6)\/5*6 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -61118, -1, 3, 3\/2?\nAnswer: -61118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u**(-8))**(-1\/55) assuming u is positive.\nAnswer: u**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214215 by 9.\nAnswer: -71405\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4130 + 2296. Let l = w + -518. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3678?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {i: 4, q: 4, x: 1, s: 1, m: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/85 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(180) + (5*1*sqrt(25))\/(sqrt(375)\/sqrt(3) + sqrt(5)) + 5.\nAnswer: -427*sqrt(5)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 27424855.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**3 + 13*z**3 + 6*z**3 + (2*z - z + 2*z)*(7 - 7 + 9*z**2).\nAnswer: 39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 + 16 = 5*x. Suppose x*r = 52*r - 1916. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 35*o**4\/4 + 2*o**3\/3 - 3*o**2 + 94. What is the third derivative of i(y) wrt y?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:42 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3812*h**2*q**2 + 80*h**2 + 704*h*q + 2*q**2 - 12*q wrt h.\nAnswer: -7624*q**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**4 + 1. Let c(d) = -d**5 + 6*d**4 - 8*d**3 + 10*d**2 + 9*d + 8. Let r(w) = -c(w) + 8*k(w). Factor r(m).\nAnswer: m*(m - 1)*(m + 1)**2*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -241*f**3 - f**2 + 86*f wrt f?\nAnswer: -1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-39)\/(((-2)\/(-939))\/(64\/(-288)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 3\/2 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*z - 6 + 2, 5*c - 487 - 179 + 60 = -82*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = -13*k - 299 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaazaaaoaakrakkaraa. What is prob of picking 1 r, 1 o, and 1 z?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -5*r, -3*r = -2*b - 6 - 3. Suppose r + 3 = -2*a. Let x = 0.0552 - 0.0552. What is the second smallest value in 1\/11, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -51, -1\/3, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.073831248 + -273.542\nAnswer: -273.468168752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 987040331 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 4*d**2 - d + 4. Let a be r(4). What are the prime factors of (-2)\/(a + (-4)\/30)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 + 9*r**3 + 2*r**3 - 8*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 59*q**2 - q + 5. Let l(u) = -118*u**2 + 3*u - 8. Let k(z) = 2*l(z) + 5*m(z). What is the second derivative of k(s) wrt s?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 94. Let f = n - 37. Sort f, -0.18, -2\/5 in descending order.\nAnswer: -0.18, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -17239\nAnswer: -3\/17239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36489 is divided by 6081.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 + 3\/(-9). Let f be (-30)\/(-90)*(u + 3\/23). Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4053*q**5 - q**2 - 7*q + 300 wrt q?\nAnswer: -81060*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24.99 - 25. What is the biggest value in a, -1, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660 = 3*m - r - 664, 5*r = -3*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:42 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -4, 0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900 by -15.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 43*k**4\/24 + 2*k**2. Let x(f) be the third derivative of f**4\/12 - 3*f**2 - 2*f - 328. Give z(x(i)).\nAnswer: 86*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 38. Let a be i(-18). Let r = a - 8. What is the tens digit of (-20)\/r*4*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29728395 to the nearest integer?\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1053.11 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 103, 109, 117, 127, 139?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4068 + 3?\nAnswer: -4065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*l**3 + 9*l**2 - 11 + 14 - 140*l**3 - 2*l**4 to o + d*l**3 + p*l + s*l**2 + h*l**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110000001100101?\nAnswer: -110000001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(9\/12)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -18.9. Let y = z + 2. Let m = 1\/88 - -171\/440. Which is the smallest value? (a) y (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmumummmuumum. Give prob of picking 1 u and 3 m.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3 + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1058 divided by 1552\nAnswer: -529\/776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a9 (base 15) to base 12.\nAnswer: -2066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -464?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010222111222 (base 3) to base 7.\nAnswer: -12462203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 23*w + 47 - 96 + 44 as x*w + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = -18*w + 70 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4098, 7342, 9732, 11262, 11926, 11718, 10632?\nAnswer: 8662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2286460 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607*r**2 + r**3 + 2010*r**2 - 600*r**2 - 803*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 13. Let u(y) = -y**3 - 10*y**2 + y - 1. Let g be u(-10). Let z(n) = 2*n + 7. Calculate g*z(r) + 6*d(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o - 14 - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 - 18?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20030 (base 4) to base 12\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/32 (b) -5 (c) 0.3 (d) -4 (e) 60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + (14 - 28 - -12 - 7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7799488 to the power of 1\/2, to the nearest integer?\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t - 1. Solve -t*l = 5*w - 8 - 7, 4*w = -3*l + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2303*d*o - 867*d*q + 3814*o*q + 8*o - 68 with respect to d.\nAnswer: 2303*o - 867*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/5))**(-44) assuming n is positive.\nAnswer: n**(264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7 (base 12) to base 14.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/7 or 1.91?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23232840 rounded to the nearest ten thousand?\nAnswer: -23230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + u)*(-2*u - 2*u + 2*u) + u**2 - u**2 - 2*u**2 + 264*u**2 + 345*u**2 - 851*u**2 + 415*u**2 to the form l*u**2 + q*u + g and give l.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -926\/3 - -306. Suppose 0 = 2*g + 3 - 27. Let v be g\/(-15)*(-10)\/(-4). Is v less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10319489, 20638978, 30958467, 41277956, 51597445, 61916934?\nAnswer: 72236423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176915 or 176933?\nAnswer: 176915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140108 is divided by 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 2*m - 265. Let r = -9 + 14. Suppose 8*o = r*o + m. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 248*p - 1832. Let t be m(-131). Factor 8\/7*w - 8\/7 + 6\/7*w**t.\nAnswer: 2*(w + 2)*(3*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(275))**2 + (sqrt(275) + 1*sqrt(275) + -5)**2.\nAnswer: -100*sqrt(11) + 40725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.14 * 0.5.\nAnswer: 15.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/5 + 2846*n\/5 - 1849368\/5 = 0. What is n?\nAnswer: 1004, 1842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8289.003263 - -8289. Round y to 5 decimal places.\nAnswer: -0.00326","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8, -3*u - 4*c = -6*u + 16. Let b(l) = -l + 11. Let z be b(u). Suppose -2*d = -9 + z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4355848.\nAnswer: 2, 7, 77783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-2)*1\/2*594\/(-693).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 51. Let a be l(0). Let b(j) = j**3 - 3*j**2 - 2*j + 5. Let c be b(5). Suppose -a = -2*d - g - 18, -4*d + 5*g = -c. Solve -v = 2*v - d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-35))\/(6\/(-20)) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.1. Let g = -0.78 + -4.12. Let x = g - -4.2. Which is the third biggest value? (a) -3 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 316 + -4?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*g**1)\/g*g*g)**(1\/4)*(g**(1\/3)\/g*g)**10 assuming g is positive.\nAnswer: g**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 9 - 10)*(-4*s**2 - 2*s**2 + 4*s**2) + 1 - 1 + 2*s**2.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b + 110. Let g = -4 - b. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -44. Suppose -t*k - 193 + 1145 = 0. Suppose -5*r = -k - 4. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4))**(-1\/15)*o**8*o*o**(-3\/8))**(-5) assuming o is positive.\nAnswer: o**(-1067\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2412 = 7*i - 3041. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 1\/15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16240 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195219805.\nAnswer: 5, 11, 421, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 4*r + 3*r)*(-1 + 0 - 1) - 3705 - 22*r + 3705.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmm when three letters picked without replacement from mcclvmlccl?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 20*y**2. Let k(o) = 113012*o**2 - 3*o - 1. Calculate k(n(g)).\nAnswer: 45204800*g**4 - 60*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(561)*1 - sqrt(561) - sqrt(561))\/sqrt(11))\/(-1*sqrt(9)\/sqrt(3)) + 3.\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 - 0 - (116 + -480 - -389).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 163*g + 2871. Give s(-26).\nAnswer: -1367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 10*v**2 + 11*v + 119. Give f(-9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 18049780?\nAnswer: -18049784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 77 + -1 + (5 - 5). Let s = x + -73. Find g, given that -6*g**s - 2\/3*g**5 + 14\/3*g**2 + 10\/3*g**4 + 0 - 4\/3*g = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212069577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 13. Let h(v) = -v + 6. Let p(a) = 5*h(a) - 3*r(a). Suppose 0 = -2*m - 4*w + 6*w - 18, -31 = 4*m + w. Does 2 divide p(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -9\/8, -146\/7, 2\/113?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-7) + (-86)\/(-301).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 5)*-2.\nAnswer: -10*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 0*o - 6*o + 104*o**2 + 3*o. Let j = -55 - -90. Calculate the remainder when f(-1) is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.53089014 - 0.53. Round v to six dps.\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*t = -u, -5*t = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p = -140*p - 456 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 9. Calculate v(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*o - 42, 2*o + o + 3 = 0. Let y = -2 + 6. Suppose -5*v = -4*i - i - 160025, 0 = -y*v + m. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3. Let v(d) = 3*d**3 - d. Give -2*t(f) - 3*v(f).\nAnswer: -f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63832*v - 8593*v**3 - 63832*v - 5151*v**2 wrt v?\nAnswer: -51558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*d**2*t + 2079829*d**2 - 3*d*t - 57778*t + 11 wrt t?\nAnswer: 19*d**2 - 3*d - 57778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 - -135.00046. Round p to five dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 644*a - 155*a + 643*a - 1132 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11 = 13. Calculate the remainder when 21 - (4\/12)\/((-1)\/n) is divided by (3\/2 - 1)*24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1007 in 1.6, -0.04, -5, -3, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 38 = 3*t. What is the greatest common divisor of t and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123608200 - -0.009\nAnswer: -123608199.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, 3, -2.06, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**4\/7 - 13184*q**3\/7 + 4897618*q**2\/7 - 5506800*q + 76672800\/7 = 0.\nAnswer: -6945, 4, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3042157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 19 - 20*v**3 + 18*v**3 - 40*v**3 in the form f*v**3 + l*v + w + m*v**2 and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, 0.2, -3 in decreasing order.\nAnswer: 0.2, 0, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 135.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40 and 0.00053?\nAnswer: 40.00053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1 = -5*z + 10, z - 3 = -141*p + 143*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 2222?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 1:55 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4350?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2*x**2 + x - 5. What are the prime factors of t(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1395\/10 - (-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54050 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 189*r + 2754. Let t(i) = i - 17. Let x(n) = c(n) + 162*t(n). Let l(y) = y. Give x(l(d)).\nAnswer: 351*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 60 = -2*a, -4*a + 160 = 7*o - 3*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 16.96. Let q = a - -16.99999974. Round q to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.049 and -11303.\nAnswer: -11302.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60265, 60264, 60263, 60262?\nAnswer: 60261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 + 13*o + 46. What is y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68658 * -8290.\nAnswer: 569174820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1399 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*c + 81*c - 272 = 11*c. Solve -c*b - 3 = -m, 3 = -4*m + b + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 3*u**2 - 2*u - 2. Let v be y(-3). Suppose 2*f + 2*n + 14 = 0, 2*f = 4*f - n + 26. Let s = f + 14. Which is greater: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -25. Suppose 0*o = u*o - 6. Solve -20 = -t - o*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 + -1.4. Let y = t - 0.8. What is the closest to -1 in -1, -2\/5, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377105 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 14*h**2 + 373*h + 1493. What is b(-20)?\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 - (15 + -30) - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9820710 times 0.01\nAnswer: -98207.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 19 + 29. Do 15\/17 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6)\/1*0. Suppose 2*q - 30 = 2*d, 2*q + d - 18 = -x*d. Calculate the remainder when q is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -15693.\nAnswer: 4\/15693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23867.6l to millilitres.\nAnswer: 23867600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185972 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*h + 3*d, h + 5*d + 15 = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8121 plus 192849?\nAnswer: 200970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 227 - 47. Is (-12340)\/p + (-4)\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vonrnnvvvrvvhhhh. Give prob of picking 1 v and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2791.876.\nAnswer: -558.3752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**4 - 10363432*t**3 - 6712545176164*t**2 = 0.\nAnswer: -1295429, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2632 bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5*f**(-6\/13))\/(f**(-2))**14)**(-34) assuming f is positive.\nAnswer: f**(-14382\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*s**3 + 326*s**3 + 260*s**3 - 817*s**3.\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 72041*x - 144090. Determine c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -966676 - -2816676. What is m rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5339307\/506 - -10552. Let q = u + -4847\/4048. Calculate the common denominator of q and (-10)\/25 + 398\/220.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/233 - -727\/1631. Which is the smallest value? (a) l (b) -60 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let w = 3 + k. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30582*y**2 - 30847*y**2 + 61432*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.216 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -241795*q**3 + 5319480*q**2 - 29256975*q - 1210 = 0.\nAnswer: -2\/48359, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.66 and -0.203?\nAnswer: 1.75798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -59, 139, 26.\nAnswer: -59, 0, 26, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 34 = -f, -3*f - 116 - 41 = k. Let o = f + 96. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 2 b when four letters picked without replacement from xxbxbxssxbxxbxxxxxb.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 8. Let n be x(8). Let m be -56 + n + (-2 - 0). Let r be (3 - m\/(-10)) + 2. Sort -2\/13, r, 0.2 in descending order.\nAnswer: 0.2, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/187 and -13\/561.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Suppose -23 = 5*l + q, y*q + 0 = 4. Let h = -5 - l. Solve h*x - 5 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*a**5 + 36*a**3 - 37465*a**2 wrt a?\nAnswer: -2040*a**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(816)*1)\/sqrt(3) - (5 + sqrt(51)\/(sqrt(12)\/sqrt(4)))).\nAnswer: -8 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1184*v - 18948. Give h(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 5*h - 3 + 2*h. Let k(n) = 4 + 0*n + 2*n - n**2 - 5*n. Suppose 0 = -t + 2 - 5. Give t*s(y) - 2*k(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (69553861072010719\/232)\/(4020\/8). Let p = 596619154841 - t. Let w = 4\/5829 - p. Find the common denominator of -39\/32 and w.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -25*z**4 - 17*z**3 + 12*z**2 + 17. Let g(t) = -4*t**4 - 3*t**3 + 2*t**2 + 3. Let f(a) = 34*g(a) - 6*o(a). What is the third derivative of f(r) wrt r?\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179\/8 + 24. Calculate the common denominator of o and 67\/218.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102120 - -3?\nAnswer: 102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 522779250 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2214078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21.824 from 1.410599.\nAnswer: 23.234599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 7. Let d(k) = k**2 - 7*k + 5. Let p be 54\/10 - 10\/25. Let n be d(p). What is a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 9:34 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.001918 (c) 3\/5 (d) -223\/2 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.52 - 400.3.\nAnswer: -400.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009069 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -1029983\nAnswer: -20\/1029983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 8:32 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Let z = -1 + q. Suppose d - 72 = z*v, 5*d + 0*d = 5*v + 355. Calculate the greatest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -19328281.\nAnswer: -57984843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-30))\/(6\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4862.582204 - 4864.79. Let t = p + 1.99417. Let i = 0.214 + t. What is i rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(48\/192*-3*12\/9).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -71 - (-4 - ((-8 - -24) + -7)) - -1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 227aa (base 15) to base 14\nAnswer: 2bdc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 180 = -f. Let j = f - 21. Suppose 2*m - j = -m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + 431*b**2 + 21619*b + 352952. Let l(h) = 3*h**3 + 433*h**2 + 21617*h + 352951. Let u(z) = 5*l(z) - 4*q(z). Factor u(p).\nAnswer: 3*(p + 49)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 50401, 45, -2\/5, 0.1, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3350202?\nAnswer: 2, 3, 37, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -x + 35, -3*x + 6*x = 2*b + 104. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20222260 is divided by 1560.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*g, -3*g + 4*g = -2*h + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/3)*h\/h**(5\/9)*(h**(-2\/21))**(-9) assuming h is positive.\nAnswer: h**(187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - (-91 - 20\/(-5)). Suppose -5*t + 7 = d, 5*d + 25*t = 20*t + x. Solve d - 20 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 9 = 0. Suppose -56 = -7*n + 2*n - 4*z, 5*n + c*z = 52. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-64) - 1304\/(-1216).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - -4) + -4 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 120*t**2 - 225*t + 110.\nAnswer: -5*(t - 22)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 31 = -c + 5*j, -2*j + 6 = 3*c. Suppose 3*l = -2*r + 28, -r = -l + c*r - 2. Let v(q) = -3*q - l + 4*q + q. Give v(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(11\/154*14)*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 7*x + 8. Let g be v(4). Solve 4*t = -0*t + g*u - 4, 3*t = u - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 20186078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k, 38 = -3*s - 3*k + 8*k. Let l(o) = -o**3 - 5*o**2 + 5*o - 3. Let a be l(s). Suppose -a*x = x. Solve -f - 3*f = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7584c1 (base 13) in base 8?\nAnswer: -12417111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, -186, -537, -1020, -1629, -2358?\n\"Answer: p**3 - 75*p**2 + 5*p + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-6 - ((4 - 3) + -11))) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229143084 divided by 76381028.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31886460*g**2 + 3874204890*g - 270*g**4 + 131220*g**3 + 2\/9*g**5 - 188286357654.\nAnswer: 2*(g - 243)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408512?\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 + 4*u. Let h be p(2). Suppose 0 = h*c + 396 - 3328. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and -42?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 0*p**2 + 0*p - 2\/3*p**3 - 2. Let t(d) = -2*d**2. Give t(z(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26559 and 4.\nAnswer: -106236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.54596 rounded to two dps?\nAnswer: -8.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/75 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 4*k**2 + 2*k**2)*(0*k**2 - k**2 - k**2) - 3 + 3 + 2*k**4 - 5*k**2 + k**4 + 5*k**2 + (0*k**2 + k**2 - 3*k**2)*(-2*k**2 - 3*k + 3*k).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c + 5. Let d = -51 + 52. Let w be s(d). Let l = 2 - 2. Solve -2*q - u + 8 = l, -2*q - 2*q = 3*u - w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 - 3)*(-1 + 5 - 3) + 1 + 1 + 1)*(-3 + 2 + 5)*(-786*i + 6462 - 6462)*(2 - 1 + 0) to the form x*i + d and give x.\nAnswer: -15720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 3539?\nAnswer: 10\/3539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 - 4 = 0, -h = y + 7. Let o = h - -7. Solve 0 = 2*w - 2*c, 5*w - o*c = -1 - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64235632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6601434 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 + 3*x**3 - x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/165 and -58\/495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + -73. Let j = -37 - v. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -928 + 6497\/7. What is the third smallest value in -2\/3, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-225)\/35 - (-13 + 63\/7). Is -21 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45483302.\nAnswer: 2, 19, 79, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.78 + 1.8. Let d = q + -0.0199961. Round d to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145210 (base 10) to base 6.\nAnswer: 3040134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/42 - (-7 + (-27680)\/56)) + -1. What is the highest common factor of g and 2125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -27, -5, -41, 29, 2 in descending order.\nAnswer: 29, 16, 2, -5, -27, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7118\/7? (a) -2 (b) 2 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(11\/2)*k*k\/(k*k\/(k**(-2\/3)*k)*k) assuming k is positive.\nAnswer: k**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.745 + 2.255. Let n be 0 - (48\/(-22))\/2. What is the smallest value in 1, n, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) 8220 (b) -0.04 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k**(-4))\/(k**(-3\/11)\/((k*k\/(k*k\/(k\/(k**5*k*k*k))*k*k*k*k))\/k)))**(-6\/11) assuming k is positive.\nAnswer: k**(378\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -8 + (4 - 4). Let w = -5 + 3. Sort 0, k, w.\nAnswer: k, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14159, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 6 = -51. Suppose v + 3*y - 8 = y, -b*v + 4*y - 16 = 0. Solve 2*r + 0 + 8 = v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*k + 104842 = 145498 for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*y + 16 = 0. Suppose -y = g - 2*g. Factor 3\/2*f**g + 0*f + 1\/2*f**2 + 0 + 2*f**3.\nAnswer: f**2*(f + 1)*(3*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5 + 53*z**4 - 246*z**3 - 3788*z**2 + 11752*z + 77280 = 0. What is z?\nAnswer: -6, -4, 7, 10, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**3 - 2*s**2 + s + 1. Calculate c(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o**2 + 341*o + 2224. Calculate w(-10).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14653171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Suppose 3*q + 6*q = -54. Is q smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 8 - 10, -c - 4*p = 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7110)\/869)\/((-1)\/11). Solve 23*a - w = 48 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/10 and -1\/2412.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 301 - 41. Let j be (-12)\/8*(g\/(-9) + -1). Suppose 4 = -j*z + 26. Solve z*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -125. Suppose 51 = -h + 3*l, -3*l + 162 + 9 = -3*h. Let g = r + h. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*j**2 - 5*j + j + 9*j**3 + 4*j + 4*j - j**2 in the form x*j**3 + q*j + m + y*j**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 322 and 1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t + 4 - 4*t - t - 1 - 24. Let u(c) be the first derivative of c**3 - 4. What is w(u(x))?\nAnswer: 6*x**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -1, -5, -10 in increasing order.\nAnswer: -10, -5, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*39\/(-26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 9*q**2 - 10*q + 5. Let b be y(10). Suppose -b*d + 116 = 36. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 1.3, 280, 0, 0.3, 2\/17, -0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 191. Let z = b - -217. What is the greatest common factor of 108 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + 2*sqrt(1260))\/(2*sqrt(20)).\nAnswer: 13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 - 394*g**3\/3 + 7130*g**2 - 63426*g.\nAnswer: 2*g*(g - 93)**2*(g - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13253 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let k = 3\/3209 - 3221\/12836. What is the nearest to g in k, 1\/4, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**3*z - 2*w**2*z - 68*w - 535*z with respect to w.\nAnswer: -3*w**2*z - 4*w*z - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 725 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-9)\/(-3) - 1. Factor 0*f**2 - f + 0*f**t + f**2.\nAnswer: f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2175841 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 1. Determine r(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from uhcughhykggg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 9*x**2 + 1. Let n be (-65)\/(-7) + 14\/(-49). Let s be y(n). Is s > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(9)*-1 - sqrt(9))\/(sqrt(12)\/sqrt(36)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + -37. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0214 + -0.3.\nAnswer: -0.3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 346112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 11017*p - 220828. Calculate b(-20).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17)\/w)**(-13) assuming w is positive.\nAnswer: w**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207664?\nAnswer: 2, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 588792004*k**2 - 668946584*k.\nAnswer: 1177584008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:54 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(320) + -3.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1568 + 1563. Let a(z) = -2*z + 4. Let v(u) = 14 - 7 + 0*u - 6*u + 3*u. Let o(d) = 3*d. Let x be o(1). Give h*a(n) + x*v(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 34*i - 27 = -29*i, 5 = -5*u - 3*i. Solve 0 = 3*w - u*g - 7, -4*g - 12 - 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 12 + 8*(-2)\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2 + 1)*-4. Suppose 0 = 5*y - b - 14, -4*y + 2*b = -6 - a. Suppose n + y = 21. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006573 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1918.3 - 1913.3. Which is the closest to 1? (a) -2 (b) p (c) 3\/2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1403*c + 545 - 2739*c + 1950*c wrt c.\nAnswer: 614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2 - -2) + (-117)\/162. Let n(b) be the second derivative of 4\/27*b**3 + 10\/27*b**4 + 0*b**2 - b + 0 + y*b**5. Factor n(h).\nAnswer: 2*h*(5*h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*r - 457 - 124 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 475008 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2002 and 12782?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 + 10*w + 24. Let y be j(-7). Let f(s) = 0 + s**y - 47*s - 3*s**3 + 5 + 34*s - 11*s**2. Is 55 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -2 - (-80752 + (1 - -16)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85263*t + 1051986 wrt t.\nAnswer: 85263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 0.2 (c) -0.5 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 times 1.362?\nAnswer: 695.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -5*c. Let l be c - 4\/(-12)*3. Suppose 4*b = -s + 73, -8*b + l*s = -4*b - 85. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -14.935. Let a = -0.064957 + g. What is a rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 11, n: 2, r: 2, c: 4}. What is prob of sequence zzcn?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*x**2 + 9*x**2 + 803 - 803 as j*x**2 + q + g*x and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 25*i - 5. Let r be t(-2). Let h be (1*20)\/((-22)\/r). What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 44. Let b be o(23). Factor -11*j - 3*j**2 - 4*j**2 + 3*j**2 - 2*j**4 - 9*j**b + 7*j - 11*j**3.\nAnswer: -j*(j + 1)*(j + 4)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -30*u - 25. Let q be v(-2). Suppose -133 = -42*y + q. Solve 16 = h - y*t, 6 + 0 = -4*h + 2*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 111001?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 15*z + 10. Let t be i(-14). Let d be 37\/(-111) + 2\/t. What is the fourth biggest value in 2, 0, d, 1\/12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-3))\/(6\/126*7). Which is the closest to 0? (a) 3 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssususssususssssss. What is prob of sequence sssu?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 6. Let b(c) = c**3 - 11*c**2 + 8*c + 23. Let r be b(10). Let m be u(r). Is (-140)\/m*(-9)\/6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21799 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141195 divided by 3?\nAnswer: 47065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (18 + -16 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 92017*a**2 - 969*a - 646. Let l(z) = -1704*z**2 + 18*z + 12. Determine -323*l(v) - 6*q(v).\nAnswer: -1710*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 32*i**2 - 189*i + 80. Determine a(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -413*x**3 - 2947*x**2\/2 - 1128. Find the second derivative of y(z) wrt z.\nAnswer: -2478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 - 8428*i**3 - 37561342*i**2 + 97849585680*i + 269586986407200 = 0.\nAnswer: -2513, 4620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21348 = 1480*c + 2108 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20553)\/6 + 185\/(-74). Which is smaller: -3429 or h?\nAnswer: -3429","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -364?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -10. Suppose 0*l = s*x + 3*l - 6, -7 = -2*x - l. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 10, -1345, -24, 54 in ascending order.\nAnswer: -1345, -24, 2, 5, 10, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 - -1*(-3 + 3). Suppose r*n**2 - 1\/3*n + 0 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*j - 143*j + 1283 = -303*j + 3989 for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/200*8 - 6\/(-75).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p - 1. Let z(o) = -3*o**3 + 5*o**2 + 3*o - 1. Let f(j) = -4*k(j) + z(j). Let b = -12 + 7. What is the lowest common multiple of 6 and f(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/7342344 and 46\/63.\nAnswer: 51396408","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2082 and 6246?\nAnswer: 6246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86534 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o + 6. Suppose 4*h = 2*v + 448, 0*h - 347 = -3*h - 4*v. Let x = -117 + h. Let s be b(x). Calculate the highest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 - 5*j + 4. Let c be f(-5). Let v be 112\/5*25\/10. Calculate the highest common factor of c and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48009689*f**4 + 76*f**2 + 74141.\nAnswer: 1152232536*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2995456*x*y**3 + 2609227*y**3 wrt x?\nAnswer: -2995456*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*z. Put z, -17, -2, 1 in descending order.\nAnswer: 1, z, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 3*g)*(-32*g**2 + 32*g**2 + 2 + 10*g**4).\nAnswer: 10*g**5 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 114733?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -42. Suppose 0*t = -2*t + q. Suppose -2*n + 3*n + 2*n = 0. Solve n = -o - o - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnnnh. What is prob of picking 1 h and 3 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*k + 168 = 62*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(63) + sqrt(1575) + sqrt(63))\/sqrt(9)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 21 = 4*w, 2*w - 62 = -3*v - 59 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15107 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -3*w**5\/4 + 10*w**4\/3 + 10*w**3\/3 + 8*w**2 - w - 46. Let h(m) be the second derivative of d(m). Factor h(r).\nAnswer: -5*(r - 2)*(9*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 125*v - 21 + 927*v.\nAnswer: 802*v - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*v = -27 + 10, -5*p + 40 = 5*v. Suppose 0 = -p*a + 7*a - 6. What is the second derivative of 0*i - a*i**2 + i - 6*i wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -989?\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 99609*t + 2887819. Determine n(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 5*(-1)\/(-3 - 6). Which is the closest to f? (a) 2 (b) -4\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*j**4 + 1\/3*j**2 + 1\/3*j**3 + 0 - 1\/3*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367033265 to the power of 1\/3, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 - 2683*d**4 + 482196*d**3 - 29431232*d**2 + 72746464*d + 33838512 = 0 for d.\nAnswer: -2\/5, 3, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.5. Let j = 0.5 + w. What is the nearest to j in 1\/11, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -7*g + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-11 - (12 + -18))) + -9 - (-69 - 1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2\/5 + 102*z\/5 = 0. Calculate z.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:32 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/120*8)\/((-136)\/51).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1952 + -416?\nAnswer: -2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.014 - -2. Let u = -0.081 - a. Let v = 0.07 + u. Round v to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 12 + -20 - -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2)\/((-256)\/(-3456))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/11 (b) -4 (c) 0.4 (d) -0.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2112771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -460\/7 - -65. Let t = 6\/1589 - 96965\/9534. What is the common denominator of p and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90984652*x**3 - 19894*x**2 + 8386 wrt x.\nAnswer: 545907912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 229427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180 - -1260?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - 0.28. Which is the biggest value? (a) 3 (b) -1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 5*v - 2*q, 3*v + 47 + 41 = 4*q. Let s be 27\/(-36) - (34\/v - -1). Sort -1\/4, s, 0, -1\/5.\nAnswer: s, -1\/4, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l - 1. Let w(k) = k**3 + 7*k**2 + 8*k - 5. Let i(m) = -2*r(m) + w(m). Let a be i(-5). Is a*4*-2*4\/16 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w. Suppose w = 5*s + 4*h - 21, 0 = s - 4*h + 14 + 1. Solve -5*o - 8 = -2*c, -c + 5*o = -5 + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -19. Let o = x + -2. Do -0.04 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)\/t)**(2\/23)\/(((t\/(t**(-2\/5)\/t*t))\/t*t)\/t*t**(1\/2)))**(-1\/5) assuming t is positive.\nAnswer: t**(661\/3450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3345c9 + -3?\nAnswer: -3345cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-24 - (6 - 15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4518187.\nAnswer: 4518187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -703.5 + 702. Let n = i - -1.4. Which is the closest to -2? (a) -3 (b) n (c) 6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 32628*t + 32626.\nAnswer: 2*(t + 1)*(t + 16313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(405) + (sqrt(605) + -3)*-1.\nAnswer: -2*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 4. Let q be j(0). Let u(z) = -z**2 - 2*z - 6. Calculate u(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222336 + -13316?\nAnswer: -235655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 + 11*i**4\/12 + 8*i**3\/3 - 27*i. Calculate the smallest common multiple of 20 and r(-7).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(539) - sqrt(539)*-2)*-3.\nAnswer: 189*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1201, -5250, -12145, -21886, -34473, -49906?\nAnswer: -68185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((1 - 2) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 - 11*k + 2.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 720?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1164 + 2603. Let f = l - 669. What is f rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.646 times -3.89\nAnswer: -6.40294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 304065\/2*(2 - 130\/66). Let n = a + -4610. Find the common denominator of -37\/20 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1205a8 (base 13) to base 3\nAnswer: 210211000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-42) - 4\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 13*u - 33. Calculate h(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:10 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oorhh. Give prob of sequence roh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 71. Let l be o(24). Let k be (-6)\/3 + 9\/6. Which is the nearest to l? (a) k (b) 0.04 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 9*c + 5. Let r be (8 - -1) + 0\/1. Let t be w(r). Let s = 25 - t. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -969 and -7.\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11939\/23 - 519. Which is bigger: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) - 8\/6. Let x be (r\/(-3))\/(4\/(-132)). Let v = x + 15. Calculate the smallest common multiple of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h + p = -5, 4*h + 4*p = -12. Let c be -73*1 - (-2)\/h. What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 3*k**5\/5 - 180*k**4 - 972*k**3 - 1464*k**2 - 1893. Solve j(o) = 0.\nAnswer: -2, 0, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2. Let z be (4\/(-10))\/((-3)\/15). Let g(j) = 0*j**z + j - j - j**2. Determine s(g(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.699928 + -0.7. What is n rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w + 1. Let q(y) = 5*y**2 + 3. Let o(c) = c - 4. Let t be o(3). Let a(p) = t*q(p) + 4*i(p). Let z be (1*-5)\/(1\/2*2). Give a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxgn when four letters picked without replacement from {k: 1, n: 1, q: 1, g: 1, x: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 169 = -2*p - 3*p, 2*q - 5*p - 77 = 0. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - w)*(17*w + 0*w + 18*w) + w**2 - 3*w**2 + 0*w**2.\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364617994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (55 - (-31 - -38))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 9*t - 8. Suppose 0 = 3*i + 9 - 33. Let y be n(i). Suppose -f = -y*f - 22. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 6*n - 1 + 8*n - 5*n in the form z*n + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1880)\/(-45) - 2\/(-9). Calculate the greatest common factor of b and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4768\/8 + (-6 - -3). Let q = y + 280. List the prime factors of q.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1048*g. Let k(f) = 6*f. Calculate k(r(p)).\nAnswer: 6288*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7 (b) 131 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 40*g - 38*g + 14 = 25*l, g = -7*l + 25 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 243040 (base 5) to base 14\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(9\/60)\/(9\/32).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 270502237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, g: 1, a: 3, q: 1, z: 1}. Give prob of picking 1 g, 1 a, 1 z, and 1 q.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 3, l: 3, x: 2, p: 1, u: 1}. Give prob of picking 1 u and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**6 + j**4 - j**2 - 1. Let a(b) = -2*b**6 - b**4 + 1. Suppose 5 = -3*r + 2. Let n(v) = r*a(v) - s(v). What is the third derivative of n(y) wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u. Let j(z) = 28270*z**2. What is j(a(l))?\nAnswer: 1017720*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 33*l - 13. Let m be w(-5). Suppose -6*k = -10*k + m. Calculate the greatest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -2)\/(1*-1). Let o(c) = c**2 + 5*c + 2. Let v be o(-5). Differentiate -8*t**4 + 4*t**2 - 4*t**v - 6 + w*t**4 with respect to t.\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**4\/12 + 133*n**3\/6 + 1114*n**2. Let v(k) = -k. Calculate u(v(t)).\nAnswer: -2*t + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1579748 and 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 4*b - 76, 10*c + 194 - 29 = 5*b for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/22, -5, 0.03, -1.8, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*b**3 - 34\/11*b + 0 - 36\/11*b**2.\nAnswer: -2*b*(b + 1)*(b + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d**2 - d + 3 + 3\/4*d**4 + 0*d**3. What is the derivative of k(a) wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:11 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(59\/(-118))\/(7\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108112.26 - 0.4.\nAnswer: -108112.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(1 + (-57)\/21). Let w be 190\/a - 4\/(-24). Suppose w = y - 3. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596.12 take away 0.7173?\nAnswer: 1595.4027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 4*k**2 + 6*k**2 + 1128*k - 1128*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 11*b. Let i = -35 - -39.1. Let u = -4 + i. Do u and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = j - 5*t + t, 102 = 2*j - 3*t. What is the remainder when j is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 9*v**2 - 2*v - 10. Let n be ((-120)\/(-18) + -7)*27. Let l be u(n). Solve l*f = 7*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:59 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102354 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5916*y - 6518.\nAnswer: 5916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2. Let z(x) = -9*x**2. Let p(i) = 26*b(i) - 6*z(i). Let r(k) be the second derivative of 2*k**3\/3 + 31*k. Calculate p(r(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2.73321.\nAnswer: -1.093284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 - 5*o - 1\/2*o**3 + 7\/2*o**2. Let d(w) = w - 1. Let j = -53 - -52. Calculate j*b(p) - 6*d(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.103.\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2759019 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from dezezezzzzdzedez.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z\/z**(-2\/5)))\/z)**(7\/11)*(z*z**0*z)**(-43))\/((z*z\/z**2)**5\/(z**(3\/10)*z**5)) assuming z is positive.\nAnswer: z**(-1781\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4650 and 79025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g + 5. Let t(v) = -v - 1. Let w(l) = 2*i(l) + 11*t(l). Give w(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 16 = -23*f. What is the highest common divisor of 3 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 5. Let h be k(-5). Let z = 1.28 + -1.58. Which is the closest to h? (a) 1 (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 6\/(-4). Let i = 0.5 - -4.7. Let v = -10.2 + i. Which is the closest to -0.1? (a) v (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - q - 1)*(12*q**2 + 3*q**2 + 9*q**2) - 48*q + 48*q - 53*q**3.\nAnswer: -77*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*n = 5*n - 3, -z + 6 = 2*n. Sort z, -18, -3 in decreasing order.\nAnswer: z, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 333595\/18 - 18541. Let b(s) = s**2 - 2*s + 46. Let d be b(0). What is the common denominator of c and d\/(-10)*(4 + 13\/(-3))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b + 20. Solve 0 = b*j - 7*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l*l\/(l\/(l**(3\/20)*l)))))**(-5\/12) assuming l is positive.\nAnswer: l**(-23\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3489 - 3476. Let d(x) be the third derivative of 1\/150*x**5 + 0*x**3 + 0*x**4 + p*x**2 + 0*x + 0. Suppose d(z) = 0. Calculate z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, -5, -0.108, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 433272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 880 and 11198704?\nAnswer: 55993520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164.02 - -164. Let x = 1.09 + -1.29. What is the closest to 2 in -2, -0.1, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/8 - 85*t**2\/8 + 275*t\/8 + 75625\/8 = 0?\nAnswer: -25, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 227075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -474.39 + 474.16619. Let r = q - -0.225. What is r rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615648 divided by -79?\nAnswer: -1615648\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 4*b. Solve t + 4 = -b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199573806?\nAnswer: 2, 29, 713183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61\/5, -7\/2, -33 in descending order.\nAnswer: 61\/5, -7\/2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 234*w**2 - 918*w + 2. Let g be c(-4). Sort g, -0.1, 1\/17 in decreasing order.\nAnswer: g, 1\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 23, 5, 0 in descending order.\nAnswer: 23, 18, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 2:06 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -18, -40 in increasing order.\nAnswer: -40, -18, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) - 224\/(-36). Suppose 2*n - 2*h = 4, -h = -3*n - 2*h + b. What is the third derivative of w**6 + 6*w**2 + 0*w**6 - 8*w**6 + 7*w**n wrt w?\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - -1) + 447 + -404?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.983 (b) 5 (c) -2 (d) 0.4 (e) -4 (f) -13 (g) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -432.5 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/39 - 8\/(-52). Suppose 0 = l*p + 4*p - 30. Solve -4*t = -j - 14, -3*t - t + p*j + 22 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 - 5*y**2 - 2*y**2)*(-2 + 3 + 0) - 7*y**2 + 423 - 423 to the form b*y**2 + o*y + k and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 11900*z**3 + 3*z**2 - 8*z + 7*z + 11898*z**3 to the form n*z + o*z**3 + x*z**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 947\/6 + -154. What is the common denominator of ((-120)\/64 + 6)\/(9\/(-30)) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69958521311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1 - 1 + 5 - 2*z. Let c(x) = -x**2 + 8*x - 10. Let s be c(7). What is the units digit of f(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Let t(f) = -4*f - 15. Let j(y) = 2*p(y) - t(y). Let c be j(-1). Solve -c*w = -8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**4\/6 + 11*q**3\/6 - 5*q**2\/2 - 23*q. Let x be c(5). Let z be 2\/1 + x\/(-19). Solve z*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18650.\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75207381 to the power of 1\/2, to the nearest integer?\nAnswer: 8672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44064 - -11?\nAnswer: -44053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 + 240*i - 236 = 0. Calculate i.\nAnswer: 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (95 + (1 - 10)) - -5.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (179 - 93)) + -7?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(4606\/(-28)))\/((-310)\/42*76\/(-95)).\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*s = -4, -j = -4*s - 0 - 2. List the prime factors of j\/8 + 165\/12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -38194?\nAnswer: -38203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-30 - -31) + 49.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4963 (base 10) in base 3?\nAnswer: 20210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:25 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1821690 divided by -195\nAnswer: 9342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (3 + 0 + -9). Let k(z) = z**2 - 4*z - 3. What is the units digit of k(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2888\/15, -2\/15, -37, 2\/7, 1.1 in increasing order.\nAnswer: -2888\/15, -37, -2\/15, 2\/7, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/2 + 1008*a - 508032 = 0. What is a?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*((8 - 8) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 322, 410, 662, 1162, 1994, 3242, 4990, 7322?\n\"Answer: 14*p**3 - 2*p**2 - 4*p + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 82, 177, 300, 445?\n\"Answer: -p**3 + 23*p**2 - p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143779063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.489 - 1.389. What is the nearest to 0.1 in 0.07, r, 1\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 7:10 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 4*a + 6, 4*a - 1 = 3*h. Suppose h*x - 3*x = 0. Let l(q) = -q + 7. Let k be l(6). Is k <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -10, 3\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -3 (c) -1 (d) -5 (e) -4 (f) -0.2 (g) 212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*n + 153 - 153 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q - 11*q - 18*q + 37*q. Let m(v) = -5*v. Determine t(m(d)).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -831540*d**3 - 16725*d**2 + 19*d wrt d?\nAnswer: -4989240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*y**4 + 0*y**4 + y**4)*(-1 - 3 + 2)*(1 - 2 - 2) to the form l + x*y**2 + q*y + f*y**3 + c*y**4 and give c.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let r(l) = -l**2 - 4 + 3 + 1. Determine c(r(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1, -222, -857?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 5. Let k(i) = -2*i - 3. Suppose 0 = -4*d - d - 25. Suppose 0*c - b = 5*c - 30, 23 = 4*c + b. Let f(r) = c*k(r) + d*w(r). Give f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92.12 + 0.28. Let l = o + -93.4. Let f = 1.1 + -0.1. Which is the nearest to l? (a) -0.4 (b) f (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68916.\nAnswer: 2, 3, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 20 - 16 - -11.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -2.2, -1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 + -6. What is the closest to -2\/3 in k, 2, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 + -10011001011?\nAnswer: -10001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 90. Let d(l) = -171*l. Calculate d(s(t)).\nAnswer: -513*t + 15390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2295 and 2282 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 4. Let y be w(-4). Let v be -15 + 4 + (0 + -3)\/3. Is v smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 212*t - 422. Let z be p(2). Solve -z*y = -7*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-8)\/(-2)))\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = 4*p. Let b(g) = g + 75. Does 18 divide b(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 8*r - 2280 + 2491 = -3*h, -63 = 5*h + 3*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/24 + 7*r**5\/20 + 16*r**2. What is the third derivative of z(k) wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9074 - -9145. Solve b = -3*t + 74 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {v: 2, u: 3, r: 4, c: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001011011000101 - -1011110011?\nAnswer: -101001001111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*731)\/(-1)*6988\/(-59398)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061 = v - 1069 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3)*(-8)\/(-4). Let d be 3*((3 - 2) + -2). Find the common denominator of (-2 - d) + (-60)\/u and 1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -9*i - 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 39 = -3*u - 17, u = 4*t - 4. Suppose -5*s + 5*c = -22 - 18, -37 = -5*s + t*c. Solve s + 2 = 9*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j - 7*j + 11*j**2 - j**2 + (-3 + 3 + j)*(-j + 3*j - j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 3*q**2 + 10*q + 3. Let b be c(-5). Calculate the highest common factor of b and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 32, 79, 136, 197, 256, 307, 344?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/(-22))\/(-3) - 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195.42389 - 195.34. Round t to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*r - 88, -97 = -3*q + q - 5*r. Suppose -8*f + 42 = 26. Let c(m) = 99*m + 7. Let b be c(f). Calculate the greatest common factor of b and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131\/9? (a) 2\/9 (b) 1\/12 (c) -344.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 - 298944*j**2 - 5080820*j + 5379768 = 0. Calculate j.\nAnswer: -74719, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 258? (a) -0.5 (b) 17\/32 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*i + 20 = 3*s, 16 = -2*s - 4*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.2 and 1.62?\nAnswer: 4.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33\/149 - 612\/745. What is the closest to 1\/4 in -386, a, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -110703 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/5)\/(((-2)\/5)\/2). Calculate the remainder when 32\/3 - (2 - 6)\/b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/15)\/(16\/20))\/((-159)\/(-3392)*-8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 77*k - 206. Determine b(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. What is the first derivative of 5*v**2 - v**h + 3*v**3 + 3 - 4*v**2 wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70489 + -2481.758?\nAnswer: 68007.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(108)*-5)**2 + (sqrt(384)\/sqrt(8))**2 + (-2 + sqrt(75))**2)*-6.\nAnswer: -240714 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*j + 213691, 14*v - 71227 = -j + 11*v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2361 and 0.227?\nAnswer: -535.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2520482 = i + 8725875, 3*a = -4*i + 6747851. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 14*v + 3. Let n be f(0). Solve g - n*g = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/234)\/((-2)\/(16\/(-20))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 750437.4 grams in milligrams?\nAnswer: 750437400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -3 - 359 - 16. Calculate the least common multiple of r and 819.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5968500 to the nearest ten thousand.\nAnswer: 5970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -120*t**2 - 125*t**2 + 239*t**2. Let a(u) be the third derivative of u**4\/24 + u**2. Calculate a(p(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4594 + 72157 = 926*f + 20265 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021442158 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-940)\/(-7) + (-16)\/56. Let p = 67 + y. List the prime factors of p.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132614*n + 1656*n**2 + 621 - 132614*n wrt n.\nAnswer: 3312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - x**3 - 23 + 12 + 10*x in the form d*x**3 + z + a*x**2 + k*x and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 1\/120 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/17, 1, -0.4, 18 in increasing order.\nAnswer: -0.4, 2\/17, 2\/3, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 171 - 153. Let u(s) = 20*s - 94. Let d be u(a). Suppose b + b = g + 49, 3*b - 91 = -2*g. Which is greater: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -10, 1748 in ascending order.\nAnswer: -10, -1, 2, 1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -d - 3, 2*b - 6 - 4 = 0. Find the third derivative of 3*k**d - k**3 - 3*k**2 + 2*k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 - 9*h**5 - 4*h**5 + (-2*h**3 - 2*h**3 + 3*h**3)*(-h**2 + 4*h**2 - h**2) + 7*h**5 - 14*h + 14*h.\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3394*o - 3373637. What is i(994)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = q + 5*j + 25948, -q - 25936 = 2*j. What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 497414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21513 (base 6) to base 13\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide ((-148)\/(-70) + (-14)\/(-49))*(-1036150)\/(-159)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10751?\nAnswer: 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 857318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0.3 (b) 0 (c) -3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2 + 1. Let q(o) = -5*o**2 + 1. Let j(m) = -d(m) + q(m). Let a(c) be the second derivative of -1\/6*c**3 + 5*c + 0*c**2 + 0. What is j(a(z))?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*y - 12, y + 4 = 3*y - 2*f. Let w be 52\/13*21\/4. Factor -4 + 0*u**4 - 5*u - y*u**4 + 16*u**3 - 24*u**2 + w*u.\nAnswer: -4*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19665 or -58996\/3?\nAnswer: -58996\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x = -619597 + 183967. What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 e when three letters picked without replacement from {r: 1, f: 4, o: 1, e: 6, v: 1}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d - 4*d. Let v be 5*1 - (5 + -9). Let n be (3 + 24\/(-9))\/(3\/v). Sort n, 2, d in increasing order.\nAnswer: d, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20109*n**4 + 2*n**3 - 10548*n**2?\nAnswer: -482616*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h + 0*h)*(1 - 5 + 3)*(h - h + 8*h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/(c*c\/(c*c**(-2)*c)))**35*(c\/c**(2\/7)*c)**(-43)*(c**2\/c)**(-19) assuming c is positive.\nAnswer: c**(576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*-5.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -74*x**3 + x**2 - 2*x - 2. Let a be k(-1). Let l = a + -69. Suppose 158 = l*w - 430. What is the remainder when w is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z + 2. Let v(j) = 19*j - 3. Let h(p) = 7*d(p) + 5*v(p). Suppose -2*o + 12 = -2. List the prime factors of h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -164, -155, -142?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w - 2. Suppose -3*s + 4*a - 6*a + 265 = 0, 4*a + 16 = 0. Let t = 98 - s. Give k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 + 1 = -3*s, 4*s = 3*a + 4. Solve -10*i = -6*i + 3*t + 9, -t = -a*i - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (-15)\/10 + 23\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4702397 and 658?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*i**5 + 170*i - 1 wrt i.\nAnswer: -1580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/5 + 12*c**3\/5 + 78*c**2\/5 + 32*c\/5 - 24 = 0.\nAnswer: -3, -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 6*w + 3*f - 52, 0 = 4*w + f - 44. Suppose w*t = -201 + 761. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 7*z**2 - 4*z - 3. Let n be k(6). Let j be 10\/(-6)*(-27)\/n. What is the second derivative of j*h**3 - 4*h + 5*h + 4*h wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770470 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 757092313.6 to the nearest 10000.\nAnswer: 757090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(190\/(-114))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/14*168\/(-240).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001182214 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let v be (1 + 18)\/(0 + b). Let j = -1 + v. What is the greatest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - o + 17 - 29, 0 = 4*d + o - 4. Let g(f) = f**2. Let j(k) = 12*k**2 - 2*k. Calculate d*g(p) + j(p).\nAnswer: 14*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -6*(0 + sqrt(2448)) + 3)*4*4*1*-4)**2.\nAnswer: -2949120*sqrt(17) + 361074688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -2, 628*u - 24 = 5*c + 624*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12074 times -707\nAnswer: -8536318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*a - 434*a + 42 = 0. Let r(p) = 2*p - 2. Let y be r(2). Let o be (1 - -4)\/(-1 + 2). Solve a = -y*i - o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 11*y + 3. Suppose -15 = d + 2*b, 0*d + 3*b - 16 = 2*d. Is c(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/5 of a hour?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (0 + -6) - 1. Suppose -c = -2*z + 6, -z - 4*c = -0*c - 12. Let t be (-6)\/(((-30)\/z)\/q). Solve t*k + 11 = 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557094?\nAnswer: 2, 23, 55589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/32 + (-246)\/(-144))\/((-32)\/(-24)). Sort -14, -12, z in increasing order.\nAnswer: -14, -12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j**3 - 5*j**2 + 7*j - 13. Let u(x) = 7*x**3 - 6*x**2 + 6*x - 14. Let w(y) = 6*m(y) - 7*u(y). What is the tens digit of w(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let t(h) = h**2 - 3*h - 4. Let p be t(3). Let u be ((-2)\/(-6))\/(p\/6). Does l = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/455, 5, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/3 - 64*j**4 + 12092*j**3\/3 - 236990*j**2\/3 - 266175*j - 549250\/3 = 0.\nAnswer: -2, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17527\/6 + 2906. Calculate the common denominator of f and 67\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58037805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) 9\/341 (c) -12\/1895\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2016*p**2 + 36 - 36 - 15855*p**2 as h*p**2 + g*p + k and give h.\nAnswer: -13839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*(-3*r**4 - 2*r**4 + 6*r**4) + 152170 + 3445*r**5 - 152170.\nAnswer: 3447*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 4 - 72)*(0*d + 2*d**2 + 0*d + (1 + 2*d - 1)*(-2*d + 2*d + 2*d)).\nAnswer: -552*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 - 7655\nAnswer: -7654.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019925 times -2?\nAnswer: -2039850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00124429282 rounded to 6 decimal places?\nAnswer: 0.001244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997213503.\nAnswer: 1427, 1399589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7069 - -21211\/3. Factor -58\/3*d**3 - x*d**4 + 0 - 224\/3*d**2 - 98\/3*d.\nAnswer: -2*d*(d + 7)**2*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14365 or 7485?\nAnswer: 14365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214 + 181. Find the common denominator of 11\/4 and -1587*(-3)\/(-7854) + (-6)\/z.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.938 - -71. Let o = -598.362 - -604.7. Let x = f + o. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113605 * 153.\nAnswer: -17381565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g\/g**6)\/g)\/g*g*g)**(5\/18) assuming g is positive.\nAnswer: g**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*w - 1074, o = -w + 108 + 162. Let u = 382 - w. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 0.117\nAnswer: -5.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1141.5 - -1141. Put 3, 5, -37\/2, k in decreasing order.\nAnswer: 5, 3, k, -37\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u - w - 222, -141 = -3*u - 2*w. What is the greatest common factor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.85 - -2.85. Let z = 2 - 3. Let s = z + 1.5. Put p, s, -1 in increasing order.\nAnswer: -1, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -134, -296, -522?\n\"Answer: -32*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (3 + 2)) + (5 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/38429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**3 + g**2 - 1. Suppose -5*m + 160 = -5*r, 82 = -5*r - 2*m - 106. Let u = r - -38. Suppose 6 = 8*c - u*c. Give v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 0*q**2 + 2 - q**2)*((-3 - 4 + 4)*(q - 3*q + 3*q) - 3*q - 2*q + 2*q).\nAnswer: 12*q**3 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -1\/12*v**4 + v + 0*v**5 + 0 + 0*v**6 + 0*v**3 - 1\/42*v**7 + 0*v**2. Find the third derivative of b(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 382052 - 3?\nAnswer: 382049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let r = 35 - 33. Let g be (-240)\/(-135) + r\/9. Let u(o) = o**2 - o**2 + 4*o**2 + 8*o**g. Calculate u(d(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (66\/24 - 3) + 402\/8. Suppose -56*x + i*x = -2532. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -115, -0.423 in increasing order.\nAnswer: -115, -10, -0.423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)*-2 + sqrt(825) - sqrt(825))\/(4*sqrt(6)\/sqrt(2)) + (5 + sqrt(11) + 1 + 0)**2*3.\nAnswer: 67*sqrt(11)\/2 + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(6\/23)*c**4 assuming c is positive.\nAnswer: c**(121\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*3 - sqrt(19))**2 + (sqrt(684) - ((sqrt(684)*2)**2 + sqrt(684))) + sqrt(684) - ((2*sqrt(133) + sqrt(133))\/sqrt(7)*1)**2.\nAnswer: -2831 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 63) + (-20)\/5. What is the hundreds digit of ((-32620)\/112)\/(15\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/77125 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -24*s**2 - 61 - 262*s + 15*s**3 + 109*s - 14*s**3 + 132*s. Give k(25).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.79? (a) 5 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -1. Suppose 0 = -5*a - 3*l + 25, n = a - 4*l + 25. Solve -3*p = -a*s - 6, s - 6*s - 1 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 2*r**2 - 26*r - 10. Let y be d(-6). Let b(v) = -4*v - 56 + 124 - 6*v - 3*v**y - 55 + 4*v**2. Calculate b(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 15*l - 55. What is the tens digit of x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 4*b + 2. Let c(j) = 2*j - 1. Let z be c(b). Let o(u) = u**2 + u - 1. Let m be o(-1). Which is bigger: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o. Let i(s) be the third derivative of -s**4\/8 - 19*s**2. Determine i(r(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/15 + 356*z\/5 - 47526\/5 = 0.\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-65)*(-10)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/6 + k**2\/2 - k. Suppose 2*c + 3*c = i - 26, 0 = -5*c - 3*i - 22. What is the units digit of q(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14900314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/12 + 4*g**3\/3 - 37*g**2. Let w be v(4). Solve o - 6 = -3*l - w, 3*l + 2*o - 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33948.102*-4\nAnswer: 135792.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.7. Suppose -9035 = 33*r - 45665. Let u be (6\/4 - 1) + (-111)\/r. Which is the biggest value? (a) u (b) -0.09 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -413 - -416. Let s(w) be the third derivative of -1\/20*w**5 + 0 + 0*w**4 + 1\/6*w**3 - h*w**2 + 0*w. What is the first derivative of s(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 10*k - 44*k**3 - 55*k**3 + 147*k**3 - 45*k**3 to s*k**3 + p*k**2 + u*k + h and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.85, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6682 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1385, -19, -3, 55 in descending order.\nAnswer: 1385, 55, 3, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, b: 2, p: 2, l: 1, e: 3, f: 4}. Give prob of picking 2 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 5*j**2 + 5*j. Calculate the smallest common multiple of a(4) and 17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15542 (base 8) to base 7\nAnswer: 26303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 17 = -5*t, 2*t - 14 = -3*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -831683, -831683, -831681, -831677, -831671, -831663?\n\"Answer: k**2 - 3*k - 831681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 275*f**2 + 53*f - 555. Is w(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3947 or -118247?\nAnswer: 3947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 smaller than 58430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - ((-4)\/14 + -2). Suppose 0 = 2*q - 2*u - 2, -2*q = 4*u - 2*u + 2. What is the nearest to q in z, 1\/11, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 8*o + 10. Let f be h(-8). Let m = 61 - f. Suppose 0*l - 3*l + m = 0. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 8 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 14. Let k be 1\/((3\/111)\/a). Suppose -z + 2*z = 4, 3*t = -4*z + k. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72810 and 121350.\nAnswer: 364050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a = -39*a + 4, -q - 4*a = -4270004. What is q rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) -2\/11 (c) 12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11384 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 10836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in -3\/5, 0, -6, -1504?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/10)\/(-1)*(-50)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/9 - (-20)\/9. Let s(y) = y**2 + 10*y + 14. Let j be s(-10). Suppose 0 = 4*a + 2*q + j - 44, 4*q = -2*a + 30. Put a, w, 4 in increasing order.\nAnswer: w, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*z**2 + 49*z**2 - 146*z - 97*z**2.\nAnswer: 5*z**2 - 146*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1253*o + 5912. Let q be v(-4). Let p be 39 + 0 + -1 - 2. Calculate the greatest common divisor of p and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2 + (-21)\/(-9)). Solve h = -67*i + 66*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -82 - -49?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6018 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 2*(4 - 27). Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rccrc. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-22)*x*x**(2\/21)*(x**(-5))**21 assuming x is positive.\nAnswer: x**(-2623\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-287) - ((-4040)\/(-2132) + -2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppphhppppppphp?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 13. Suppose d = 2*h - 17. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -602*20.8.\nAnswer: -12521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/13804560 and 61\/27390.\nAnswer: 13804560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 428\/(-5) + 2\/(-5). What is the remainder when (0 - d)*(-1)\/(-2) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 170 = -370. Let b be c\/10*4\/6. Find the common denominator of -31\/2 and (-41)\/(-3)*b\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1304 and -4.178644?\nAnswer: 1308.178644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*u + 462*u - 48 = 0. Solve -t - 12 = -4*p, -5*t - p = -u*p + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 8:11 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51528.\nAnswer: 2, 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*o + 31 + 4 = 0, 0 = 5*j - 3*o - 10. Let r be j*1 - (9 - 6). Suppose 88 = 2*d + 4*h, -3*d + 193 = r*d + h. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 526, 2102, 4726, 8398, 13118, 18886?\nAnswer: 25702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v - 21. Let g be w(-9). Let m be (-6)\/g - 68\/(-132). Which is the second biggest value? (a) m (b) -1\/4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 160865898798 - 0.3.\nAnswer: 160865898797.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 24*g**2 - 67*g - 16. Let b be k(3). Suppose -o + 4 = -0*o. Put o, 23, b in decreasing order.\nAnswer: 23, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9178 > 9182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 10 + 7*-7. Let d = m + 72. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 - 4960*h**4 - 943160*h**3 + 147070970*h**2 - 1507523795*h + 1361400950 = 0 for h.\nAnswer: -547, 1, 10, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 767 + -17643\/23. Which is the third smallest value? (a) -1 (b) -3 (c) -0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxhxhxxyyyyhyyxyhhh. What is prob of sequence yxy?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 - 22\/(-4). Suppose -o*t - 40 = -0*t. What is the units digit of (-349)\/t - (-30)\/80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1864.2 + 1864.01. Put 35, 2, c in decreasing order.\nAnswer: 35, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 172.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 870226 times -0.2?\nAnswer: -174045.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -97038*i - 96717. Determine b(-1).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 - (2 + 0)) + (-84 + 122 - 26).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 2. Let n(i) = 2*i - 1. Let w(p) = -4*n(p) + 3*o(p). Let q be w(6). Suppose -2*a + 2 = 4. Put -5, a, q in increasing order.\nAnswer: -5, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**3 - 52405*h**2 + 169078600*h - 155253938000 = 0.\nAnswer: 1561, 4460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -585462 divided by 9?\nAnswer: -195154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(12\/(-6)*1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2305337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0 + 2 - 8*r + 2*r**2 - 8. Let g = -682 - -700. Let o be 1\/(((-51)\/g)\/(-17)). Determine f(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367488, 367464, 367430, 367386, 367332?\nAnswer: 367268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250.285 micrograms to nanograms.\nAnswer: 250285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 5*w - 3. Suppose -4*t = 2*x - 18, x = -3*x + 5*t + 10. Suppose x*q = 4*q + 2. Suppose -p = q*p + 15. What is o(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 193358273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29186568 and 9?\nAnswer: 29186568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/2 - 146*i**3 + 41803*i**2\/2 - 687463*i + 3404508 = 0. Calculate i.\nAnswer: -404, 6, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o + 6. Let n(h) = 8*h - 6. Let i be -6*4\/(24\/(-3)). Let a(z) = i*g(z) + 2*n(z). Differentiate a(c) with respect to c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18798 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 2*d - 2. Let c = 6 + 4. Let y be (2\/(-5))\/(2\/c). List the prime factors of f(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 * -0.2\nAnswer: -0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 2*t**2 + 4*t - 5*t - 8. Let g(y) = -y**2 + 2*y - 7. Let v be (7\/2)\/(182\/156). Let s(j) = v*h(j) - 4*g(j). Factor s(i).\nAnswer: -2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 23 = -3. Suppose -z*p + 10*p = 180. Suppose r + 5 = p. What is r rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -2, -3, 1\/4, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - 119. Let j(r) = 3*r**2 - 40*r + 13. Let a be j(k). Solve -3*l + 28 = -a*h + 4*h, 5*l + h = 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 135. What is the remainder when 64 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t - 14. Let a be i(-8). Is (-1 - (-510)\/(-9))\/((-3)\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 2. Let j = 277 - 290. Let r be ((-198)\/(-42) - (-2)\/7) + j. What is m(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8363881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 323246 and 77.\nAnswer: 323246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582125141?\nAnswer: 13, 73, 181, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563866 is divided by 94.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184702 in 3, -2\/5, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x + 5*n - 2, -26 = -4*x + 5*n. Suppose -x = 4*d + 40. Let b(i) = -6*i - 1. Suppose 3*q + 7 = 1. Let v(y) = y. Calculate d*v(c) + q*b(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, i: 3, r: 3, s: 6}. Give prob of sequence vr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1009*d - 2*d**4 + 9*d**3 + 19*d**5 - 1710*d - 360*d - 678*d wrt d.\nAnswer: 380*d**3 - 24*d**2 + 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(77)\/(-6*sqrt(175))*-4)**2.\nAnswer: -406\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p + 7 = 5*g, 4*p + g = -5. Let z(i) = -i**2 - 1. Let k(l) = -4*l**2 - 2*l - 2. Calculate p*z(w) + k(w).\nAnswer: -2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -9*k - 80. What is the smallest value in -4, k, 14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254945013 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.938 + 0.062. Let b = -3 - -2. Let j be (-1113)\/357 + 1*2 + 1. Put z, b, j in descending order.\nAnswer: z, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5\/3 - 48*w**4 + 2552*w**3\/3 + 192*w**2 - 10240*w\/3 = 0.\nAnswer: -2, 0, 2, 32, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -386, -2, -0.1?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 3. Let o(d) = -d - 1. Suppose 3*b = -0*b. Let m be (-3 - 2) + 3 + b. Let v = 14 - 20. Give m*i(l) + v*o(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -14 - ((-29 - -28) + (-1 - -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*v**5*y**2 + v**5*y - 10*v**2*y**2 - 2*v*y**2 + 2*v*y wrt v.\nAnswer: 4800*v**2*y**2 + 60*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85838.25 centuries?\nAnswer: 103005900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, and 1 k when three letters picked without replacement from kpopapppapo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.2 - -0.0684.\nAnswer: -27.1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-1 - -5) + 74. Let s(w) = -w**2 + 2*w - 1. Let j be s(1). Suppose j = 5*b - i - v, 3*b - 3*i + 3 = 51. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*q = 20*q - 614304. What are the prime factors of q?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 42, 93, 164, 255?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (37 + -13)*(-9)\/(-2). Let r = q - 106. Find the first derivative of 10 + 9 - 34*b**r + 15 - 5 wrt b.\nAnswer: -68*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/((-6)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) -26\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20560 (base 8) to base 2\nAnswer: 10000101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/88 - 84\/99. Put 2\/9, s, -2\/13 in increasing order.\nAnswer: s, -2\/13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/646*9*1\/27?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) -1073 (b) -2\/7 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, -2, -4 in decreasing order.\nAnswer: 162, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 1 + 0\/1. What is the units digit of p*(-3 + 1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89566703 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:13 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 506 = -2*c, j = 4*c + 4*j - 1026. Suppose 14*a + c = 969. Let l = 1 - -17. What is the remainder when a is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 16*i + 5747*i**3 + 16*i - 5732*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9379.\nAnswer: 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2. Let c(n) = 2*n**2. Let r(x) be the first derivative of -4*x**3 - 1. Let y(j) = 11*c(j) + 2*r(j). What is t(y(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3083 or 3075?\nAnswer: 3075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39508086.\nAnswer: 2, 3, 6584681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 596, -0.3, 188, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.439 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tteetttteteztteteedd. What is prob of sequence ezte?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 528609305 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, -1, -0.682?\nAnswer: -0.682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m*m**(2\/9))\/(m\/m**(-1)*m*m**(-3\/2)))\/((m\/m**12*m)\/(m\/(m\/(m*m\/m**(2\/13)))))**35 assuming m is positive.\nAnswer: m**(96721\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36725987.00197 + -36725539. Let b = 447.319 - -0.681. Let q = w - b. Round q to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-150))\/(1\/5))\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -20\/7, -15.4, -3?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129\/86*14\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 30. Let f(b) = 3*b - 30. Give -3*f(k) - 4*z(k).\nAnswer: -k - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -11 - (1 + -2 - (34 + -34))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 8*p**2 - 14*p + 0*p**3 + 0 + 13\/12*p**4. Differentiate k(u) with respect to u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/((b**(-1)*b)\/b))\/((b\/b**(-1))\/(b*((b*b**(-4))\/b)\/b)) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 16}. Give prob of picking 1 z and 1 k.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 3*o + 5. Let a be 2\/(-13) + 2772\/(-572). What is the hundreds digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 1, b: 2, y: 10}. Give prob of sequence ycb.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29590753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(77)\/(sqrt(63) + sqrt(7)).\nAnswer: sqrt(11)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 157*n**2 + 75*n + 191. Give r(78).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 40. Solve -p - p = s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 0.2 (c) 0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*u + 5 - 1 = 0, z - 2*u - 4 = 0. Suppose 236 + 102 = z*b. Suppose -5*d - 34 = -b. What is the remainder when d is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/3 - 736*u**2\/3 + 31529*u\/3 - 299894\/3 = 0.\nAnswer: 14, 31, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 + 202. Solve -2 = g + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -2. Let j(m) = -m**2 + 5*m + 53. Let r be j(-5). Solve r*y - y - o = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 22*i**2 + 7*i + 51. Let j(q) = -q**3 + 5*q**2 + q - 1. Calculate -4*j(o) + w(o).\nAnswer: 2*o**3 + 2*o**2 + 3*o + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 19. Suppose -v + 7 = -g. Find the first derivative of g*s**3 - 2*s**4 - 9*s**3 - 2 wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 20*l + 3. Let i be p(-6). Find the second derivative of -49*g + i + 17 - 17*g + 60*g**3 - 47 + 17 wrt g.\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:19 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-712)\/(-4) + -3*(-6)\/(-9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*g*i**3 - 32*g*i**2 + 2*g*i + 7979*i**3 + 2 wrt g.\nAnswer: -30*i**3 - 32*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/2, 2, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -6) + -16 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17884 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 31\/2*x**2 - 33*x + 25 + 2\/3*x**3. What is the remainder when k(-17) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1114 and 802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17.2. Let t = 2 - k. Let l = -0.6 - -0.7. What is the nearest to l in 1\/2, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/((-1)\/(-6)). Let b = -1 - -3. Suppose -2*u + 1 = a - k, 0 = u + b*a - 3. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + bdba5?\nAnswer: bdba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -16. What is the tens digit of (-590)\/f - (-4)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, 0, -2, 8.\nAnswer: -8, -2, 0, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/9)\/(4 - 20\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.06, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67964708 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 5*h**2 - 2*h + 14. Let s be z(5). Suppose 3*u + 41 = s*y, -u - 4*u = 3*y - 67. Let t = y + 152. List the prime factors of t.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 8 (b) 0.3 (c) -2 (d) 1\/7 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 times 4487821\nAnswer: 157073.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*a - 66 - 66 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 7*s**2 - s - 13. What is c(-6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5222 = 3138*d + 824*d - 54208 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 5*u - 1. Let n be w(4). Let i(s) = 7*s**2 - 1 - 3*s**2 + s**3 + n*s**2 + 5*s. Let j be i(-4). What is j rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h)\/(h**(7\/5)\/h)*(h**(2\/3)\/h*h)\/h**(-2\/9) assuming h is positive.\nAnswer: h**(-68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1600603 - -0.1399227. Let v = s + -2.3. What is v rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 9 = 5*v, -3*v - 2 + 1 = -5*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(14)\/(sqrt(4)\/sqrt(2))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000135661 to 7 decimal places.\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y - 188. Let f = y - -49. Suppose -3*l + 25 = f*l. Solve -4 = l*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/2470 - 198833\/4940. Let d = -41 - j. Let y = -158.4 - -158. Sort -1\/5, y, d.\nAnswer: d, y, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10505 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 31*z**4\/12 - z**3\/2 + z**2\/2 - z. Is u(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 19 = 4*u + 4*t, u = 3*t - 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2210222210110 (base 3) to base 2\nAnswer: 101101101001011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158463311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 554752855 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24442134 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(950)*1 - sqrt(38))*4)\/((2*sqrt(392) - sqrt(392))\/(sqrt(144) + sqrt(144)*2)).\nAnswer: 1152*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 2, 3, -3, 7, -4.\nAnswer: -4, -3, 2, 3, 7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**4 + o**3 - o**2 + 1. Let u(r) = 2*r**4 - 26*r**3 + 30*r**2 + 6. Let i(k) = -6*a(k) + u(k). Find f, given that i(f) = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(10989\/(-259))*(-15)\/35.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 at least as big as -201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.572551 and 1.1.\nAnswer: 4.672551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**4 - 335*a**3 + 330*a**2 = 0.\nAnswer: 0, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -19, -4, 0 in decreasing order.\nAnswer: 4, 0, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 59. Suppose -u*o = -2*j + 3*j - 6, j = 2*o - 6. Let a(q) = 0*q + 3*q - o + 14*q**2 - 13*q**2. Give a(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:55 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 = -3*p + 31, 3*l = 5*p - 92. Let t be 25\/4 + (-4)\/p. Let h(s) be the third derivative of s**5\/60 - s**4\/4 - 2*s**3\/3 - 26*s**2. Give h(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 + 9*c - 5*c - 5*c - c - c**3 + 5. Let a be b(4). Solve 4*s = 4*l + a + 3, 3*s - 5*l = 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1721108 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 71\/2 - (-1)\/2. Let g be 1\/(39\/w + -1). Let h = g + -2. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/53 (b) -12\/5 (c) -3\/2 (d) 0 (e) -1140 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -3880622\nAnswer: -19403110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12183 or 4\/5271?\nAnswer: -12183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -1\/4, 10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -31. Calculate the lowest common multiple of k and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-20)\/(s*s**25))**(-13) assuming s is positive.\nAnswer: s**598","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/60 + d**4\/8 + 5*d**3\/3 + d**2 + 572*d. Determine g(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.2 (b) 4.72 (c) -1\/2 (d) -4 (e) -23.4 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33 and -77\/1662.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47\/3 - 16. Let y = 3043\/8 + -380. Let s = -2 - -2. Sort y, h, s in decreasing order.\nAnswer: y, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/20)\/(4\/30). Let b = -1 + z. Suppose -4*j - b*y + 134 = -164, -y = 5*j - 362. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-22)*(-45716)\/(-58184)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125 - 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -637 + 2568?\nAnswer: 1a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*j - 4, -21*j = -18*j + 3*l - 6. Put 1121, j, -4, 4 in descending order.\nAnswer: 1121, 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268\/(-4)*-4*3*7\/(-84)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 3073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-126)\/(-36)*(-2 + 344). Let c = b + -12. What is c rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48758 - 48780.231. Round p to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -55. Let o(y) = y + 6. Let h be o(r). Suppose 0 = k - h*k + 10. Solve -z + 2*l + 2 = 0, 0*z - 3*l = -2*z + k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1788*c**6 + 3*c**5 + 2*c**4 - 6806*c**2.\nAnswer: 214560*c**3 + 180*c**2 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 - 6*w - 3. Suppose 2*k + k = 54. Suppose -19*v + 7 = -k*v. Give u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4, -6*q + 8*q = -0*q - 515*n + 510*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3 (c) -7\/2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 90. Let k(h) = 5*h - 1094*h**2 + 3 + 2*h**3 + 1088*h**2 + 5. Calculate the remainder when k(5) is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 15*j**2 + 27*j + 18. Let v be g(-13). Solve -2*h = 3*h + v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*h - 12, 2*h - 3 = i + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54.2+-685303918\nAnswer: -685303863.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 1. Let y = -10 - -6. Let x be 7\/(-28) + (-2)\/(-8). Let f be 3 - x - (-2 - y). Give k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35716 and -35717 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -25 + (7 - -5) + 6 + 79810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 divided by -6?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97 or 0.054339?\nAnswer: 0.054339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.5, -2\/29, 1 in ascending order.\nAnswer: -2\/29, 0.5, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 90476 = m + 16859, 2*g + 4*m = 42934. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43364*l = 43486*l - 6100 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*f - 21 = 128, -4*c + 3*f = -232. Calculate the remainder when c is divided by 1\/(3\/126*3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, -653, -2627, -6461, -12773, -22181, -35303, -52757?\n\"Answer: -103*p**3 - 3*p**2 - 2*p + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -d. Let r = 1 - d. Is 20 a factor of r\/(-3) - 1036\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 4*a**2 - 31*a - 9. Give z(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.086, 9.53, -1\/6.\nAnswer: -2, -1.086, -1\/6, 9.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 6\/7 (b) 3\/268 (c) 0.5 (d) -0.1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 78. Solve -5*j - 2*i - i = s, -5*j = 2*i + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -32*s + 320. Let g be (((-32)\/15)\/(-8))\/(s\/(-50)). Let h = -3.6 + 4. Sort g, -0.5, h, -1.1.\nAnswer: -1.1, g, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/42)\/(2\/3). Let d = -506 + 395. Let t = 112 + d. Which is the closest to t? (a) z (b) 0.2 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4011, 6706, 9401, 12096, 14791?\n\"Answer: 2695*p + 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4394240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230008 by -5.\nAnswer: -230008\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/7 - 83912*y**4\/7 - 879817194*y**3\/7 + 7045167996*y**2\/7 + 1886113944*y - 47546386992\/7 = 0 for y.\nAnswer: -20982, -3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6335171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - 3. Suppose -1 = c, -4*v + 6*c + 36 = z*c. Let g = 64 + -40. What is the highest common divisor of g and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1192 + -726. Let h = s + -237. List the prime factors of h.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**8\/12 + 5*f**4\/8 - 16*f**2. Find the second derivative of z(j) wrt j.\nAnswer: 560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2528\/5, -4, 9\/56.\nAnswer: -4, -2\/9, 9\/56, 2528\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:23 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -50 - 11. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-57.013\nAnswer: -5.7013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6 - (-679)\/(-1164).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 7476690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -15*y - 4. Let f(l) = -l**3 + 4*l. Let g be f(-2). Let s be v(g). Which is the third smallest value? (a) 3 (b) -4\/37 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815 times 0.4?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d + 143*d - 17*d = 3120 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -36. Let b = -350 + 556. Let m = -116 + b. Calculate the highest common factor of f and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1896013*g**2*n + 29*g*n**2 - 177009787*n**2 with respect to g.\nAnswer: 3792026*g*n + 29*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2250885616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/75)\/(3*2\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2728 or 2726?\nAnswer: 2728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21233.0231 + 21233. What is g rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 3*p - 33*p**3.\nAnswer: -33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.325422726.\nAnswer: -3.674577274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 6. What is the common denominator of (10\/21 - 4\/(-24)) + (295 - 289) and (-889)\/(-72) - x\/9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyccyccz. What is prob of picking 1 z and 2 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -94 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 8. Let q = 6 - b. Calculate the remainder when 41 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + sqrt(72) + sqrt(72)*-1 + sqrt(72))\/sqrt(8) + sqrt(36)*4)\/(-3*((2*sqrt(192) - sqrt(192)) + sqrt(192))).\nAnswer: -5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4623 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333 + -538. Round n to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 3*a**4 + 158*a - 2 + 0*a**4 - 2 - 80*a - 76*a as z*a**2 + c + i*a + o*a**4 + t*a**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.284, 0.4?\nAnswer: 0.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.131858 at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 152, 151, 150, 149, 148?\n\"Answer: -b + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 29\/(-14))\/(13*(-21)\/546)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -232*z - 156. Let q be m(-12). What is the tens digit of (-19)\/((-114)\/q) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618205 (base 9) in base 15?\nAnswer: 1d395b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2744?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**2 + 2*n. Let t(o) = -3*o**2. Determine t(f(c)).\nAnswer: -300*c**4 + 120*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 - -13)\/(1 - 0). What is the common denominator of (-244)\/(-30)*(-3)\/y and -89\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-15))\/9*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-27) - 2*(-73)\/(-9). Let g = 14 + y. List the prime factors of g\/(-2 + ((-1512)\/(-380) - 2)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 33 + 11 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-657)\/(-45))\/(104\/20 + -5) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 222*k - 12241. Determine n(55).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386771*h**4 - 304056*h**2?\nAnswer: 9282504*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*p = -115, 2*p - 5*p = -m - 13. Let l = m - -102. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*t + 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.1 (c) 5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*q + 2193 - 32757 = 24106 for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, h: 4}. What is prob of picking 2 h and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + m + 6)*(-4*m - m + m) + 1494*m - 1494*m - 188*m**2)*(m**3 - 3*m**3 + m**3).\nAnswer: 192*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m + 2*m)*(7 - 7 + 3*m) in the form a + r*m + o*m**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24170388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 9*q. Solve l - 4*b + 9 = q, 2*l + 3*b - 8 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (9 + 6) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 + 482. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-2)*((v\/v**(2\/21))\/v)\/v**(-6\/7) assuming v is positive.\nAnswer: v**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 99?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (837\/(-372))\/((3 - 27\/12)\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510360 and 26070890?\nAnswer: 312850680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3773095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0194, 0, 342\/31, -5.\nAnswer: -5, -0.0194, 0, 342\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2588\/37 + 70. Do b and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1061900 to the nearest 10000.\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8685, -17366, -26047?\n\"Answer: -8681*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*p + 36, 14*i - 36 = -2*p + 77 + 13 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -3, -9, -15, -21, -27?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5277 * 113.2.\nAnswer: -59.73564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaawawaavaaaaaaaw. Give prob of picking 3 w.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**10\/j)\/j)\/j**(1\/2)*(j*j**(1\/5)*j)**(-4\/7))**14 assuming j is positive.\nAnswer: j**(437\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503011 (base 6) to base 4.\nAnswer: 21221233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53619047.44599373 + -53619049. Let g = -1.554 - k. Round g to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173.9 - 2742.64431.\nAnswer: -2568.74431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - (-1098)\/21. Suppose -y + 61 + 102 = 0. Suppose v - j = -3*w + 73, 5*v = -4*w + y. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/324 and -19\/64.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.184 and -27.5?\nAnswer: 115.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 32*u + 733 - 3989 = 0. Solve 114 - u = 13*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5975842ml?\nAnswer: 0.0005975842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(2 + (sqrt(11)*-3)**2) + (sqrt(66)\/sqrt(150) + sqrt(99) + (sqrt(99) - (sqrt(99) + -1) - sqrt(99)))**2).\nAnswer: -45342\/25 + 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 138?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -22130230?\nAnswer: 22130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*h - 9*x + 51 = -106*h, -2*h - 2*x + 4 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 785, 1764, 3135, 4898?\nAnswer: 7053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17355 and 1120275?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716.456 kilometers to millimeters.\nAnswer: 716456000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14351312 (base 6) to base 8\nAnswer: -1712074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/13)*x)\/((x\/x**(5\/2)*x)\/x*x))\/((x\/x**(18\/7))\/(x\/(x*x**(2\/3)))) assuming x is positive.\nAnswer: x**(1985\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -972 (base 10) to base 9\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -147, -1, -5, 51, -14.\nAnswer: -147, -14, -5, -1, 51, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 8*l + 42. Let u be -2 + 1\/(2\/(-2 + l)). Suppose u = -g + 3 - 6. Sort 4, 0, g, -4 in descending order.\nAnswer: 4, 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, q: 2, e: 3}. What is prob of picking 2 e and 1 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -6604.\nAnswer: 9\/6604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 32*m + 556. Let v be k(-17). Solve 6*o + 2*h - 28 = o, 0 = 3*h - v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12046993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 14*t - 12 + 24 in the form b*t + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -53, 1, 0, -77, 4 in descending order.\nAnswer: 4, 1, 0, -1, -53, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 19320 and 19320 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -270\/25211 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 2, i: 2, z: 1, l: 2, d: 1}. Give prob of picking 1 i and 1 r.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/6 - 95*k**2\/3 - 383*k\/6 - 32 = 0.\nAnswer: -1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/(-9) + (-4)\/(-6). Suppose -4*p + z*p = 0. Solve 30 = 2*w + 5*u, 4*w - 4*u + p*u = 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 2:25 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(3165\/(-1386)) + 2. Let b = 21253\/2532 - w. Let d = b + 275\/12. Calculate the common denominator of 67\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, y: 1, p: 1, v: 4, b: 6, c: 2}. Give prob of sequence wbbc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 42 + 29 - 34 + 2*b**2 in the form f + x*b**2 + q*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:23 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 2, r: 3, s: 3, x: 2, g: 1}. What is prob of sequence gxs?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/24 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.48? (a) -3\/2 (b) -0.1 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13820000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66295*j**2 + 26186535*j + 3950.\nAnswer: 5*(j + 395)*(13259*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25201106 a multiple of 2261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 916 and 3435?\nAnswer: 13740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 150 = -5*b. What is the smallest common multiple of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*s + 27 = 0, 8*r + 5*s = 10*r - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 1377243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**5 - 548*n**4*o - 117*n**2*o + 1358*n*o - 1861*o wrt n?\nAnswer: -60*n**3 - 6576*n**2*o - 234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*2*6 + sqrt(84))\/sqrt(12) - (5 + sqrt(7) + sqrt(14)\/sqrt(2) + (-2*sqrt(7) + sqrt(7))*6))**2*4*2*1.\nAnswer: -1440*sqrt(7) + 18344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71205 and 4.\nAnswer: 284820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(1*sqrt(5)) + -3)**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/322132 and 47\/2842.\nAnswer: 15784468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23601 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5443? (a) 0.1 (b) -2\/7 (c) 4\/1985 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 2*b**3\/3 + 48*b**2 - 22*b - 2. Let q be v(-23). Solve q*a - 9 = 5*n, 0 = -3*n - a - 17 - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - -0.8. Let c = 8\/1293 - 55759\/25860. Let n = 12\/5 + c. Sort 2\/9, n, y in decreasing order.\nAnswer: y, n, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -147992687193894 and 0.02.\nAnswer: -147992687193893.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 + 1. Let x(b) = -18*b**3 - 150*b**2 + 339*b - 156. Let n(w) = -15*c(w) + x(w). Factor n(q).\nAnswer: -3*(q - 1)**2*(q + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -0.5, -7\/734, 2\/7, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1074*k + k**3 - 1055*k + 3200*k - 1071*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*j - 21. Suppose -3*x = j, -a + 4 = 5*x + 2. Suppose 20 = 2*f + 2*m, -2*m - m - a = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 9:45 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5055*l - 25279. Calculate g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -589, -2787, -8207, -18457, -35145, -59879?\n\"Answer: -268*s**3 - 3*s**2 - 313*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -65 (b) -1 (c) 1\/3 (d) 4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4 + 1)*(-3 + -3) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m + 41. Let z(v) = -7*v - 47. What is -6*k(w) - 5*z(w)?\nAnswer: -w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103357.\nAnswer: 103357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.465 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 230*a**2 - a - 1. Let t(y) = -y**3 - 2*y**2 + 5*y + 3. Let l be t(-3). Let i be 8\/(-6) - (-2)\/l. Is m(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10448 (base 13) to base 3.\nAnswer: 1111012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 11*r**2\/2 - 57*r - 481. Let q = -16 - -23. Calculate the remainder when d(q) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, and 1 k when three letters picked without replacement from knlllnasalsa.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - ((0 - -4) + -35). Calculate the highest common divisor of 279 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2919, -23364, -78875, -186990, -365247, -631184, -1002339?\n\"Answer: -2923*o**3 + 5*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-148)\/12 - (-3)\/9. Suppose -7 = -5*i - 4*m, -6*m = -4*i - m + 22. Calculate the lowest common multiple of i and 35\/3 + s\/18.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/30 + 7*q**4\/24 + 2*q**3\/3 + 3*q**2. Let z be g(-4). Let b(i) = 103*i + 15. Is b(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.8 - 30. Let u = -234.44 - -234.63974. Let z = u + m. Round z to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -63) + (-29 - 17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6466990 rounded to the nearest one hundred thousand?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42334859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -7, -5, -256 in ascending order.\nAnswer: -256, -7, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 + -60. What is the remainder when m is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -171827\nAnswer: 15\/171827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*t - 47956723 + 47949739 = 0 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2 - 4. Let t(w) = -w - 1. Let k(a) = -7*a + 3. Let c(x) = h*k(x) - 6*t(x). Give c(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 462970.1km?\nAnswer: 462970100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g + 60. Calculate v(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 5*d + d**2 + d**2 - 91.\nAnswer: 2*d**2 + 5*d - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2051214, 2051244, 2051274?\nAnswer: 2051304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s**2 - 37 + 203 - 176. Let x(c) = -11*c**2. What is q(x(v))?\nAnswer: 1210*v**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 810036.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 12 = 2*d. What is the remainder when 3 is divided by -1*((-92)\/28 + d\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59327856 divided by 1?\nAnswer: -59327856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.449 or 4761?\nAnswer: -0.449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvhn when four letters picked without replacement from dddflnvlvdnfvnhlhv.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -68. Suppose -3 = -k*g + 5. Solve l = -4*c - c + 23, -3*l - 2*c = -g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.6. Let d = -2 + 6. Let i = -8 + d. Which is the second smallest value? (a) 3 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 44. Let y be p(-29). Let a = 65 - y. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o + o**3 + 5504 + 2*o - 5500. Let v be s(0). Let g(r) = -4*r + 21. Let t be g(v). Solve -8 = t*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x + 76 = 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((24\/(-3))\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.496 and -21.2.\nAnswer: -116.5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from {v: 7, w: 1, r: 1, q: 5, g: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**6\/24 - 127*d**5\/80 - 365*d**4\/24 - 34*d**3\/3 + 5495*d. Determine c, given that s(c) = 0.\nAnswer: -17, -8, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 18788.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 285699509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 5*y - 10*y = 36, 5*y = -z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1.6 (b) -2\/5 (c) 0.5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1854916 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s - 2*s)*((-5*s + 0*s - 2*s)*(-5 + 1 - 1) + 3*s - 2*s - 7*s).\nAnswer: -87*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 1\/2, 4 in decreasing order.\nAnswer: 4, 3, 1\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/108)\/((-57)\/(-456))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4224, 7978, 14234, 22992, 34252, 48014, 64278?\nAnswer: 83044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.167 and -0.2.\nAnswer: -0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*t = 16, -5*f + 374 = 3*t + 362 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 61 = 2*k, -5*k = 395*p - 392*p + 68 + 53 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -51*n + 83*n - 31*n. Let m(j) be the third derivative of -j**5\/20 + 3*j**4\/8 - 3*j**2. Determine z(m(q)).\nAnswer: -3*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113.3 - -108. Let z = w - -5.1. Let k(t) = -t**2 - 2*t - 1. Let d be k(-1). Which is the nearest to 1? (a) z (b) d (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.303 + -1.303. What is the fourth smallest value in -4, u, 8, -1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/9 of a hour?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = r + 18, 29*o = -4*r + 31*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046061729 to 7 decimal places.\nAnswer: 0.0004606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13984\/(-10)*(239 - 244). Does 6992 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 9*t**2 + 7*t - 2. Calculate g(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = f - 68, 0*f = -f + 5*c + 74. Solve -f*n**4 - 67*n**4 + 132*n**4 + n**5 + 3*n**3 = 0 for n.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7989755881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 3)*(-l**2 + l**2 - 2*l**4) + (-3 + 4 + 0)*(l**4 + 4*l**4 - 7*l**4).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m + 16. What is l(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 32. Give b(-11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6171579 is divided by 104603.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(1 - (-7)\/(-4)). Let s be (-3)\/(-1) - 0 - -209. Is s\/6 - 2\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/86725 or 0?\nAnswer: 24\/86725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2. Suppose -3*j = -2 - 1. Let n(t) be the first derivative of j - t**2 - 2 + 4. Give n(s(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34a (base 15) in base 16?\nAnswer: -2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16 + 2\/(1*-2). What are the prime factors of s\/(-2) - (-3)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 19*o**2 - 90*o + 6. What are the prime factors of w(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8468761cm in kilometers?\nAnswer: 0.000008468761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -683*z - 292 wrt z.\nAnswer: -683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/2*(-2)\/(168\/14).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 848 divide 29199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21424 divided by -52.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/11 - 387828\/(-305613))\/(6\/56).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsii when four letters picked without replacement from axasihxxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*p - 22 = p, -4*r - 3*p = -31. Let m(i) be the first derivative of 4*i**2 - 10*i - 36. Is 6 a factor of m(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 + 5*j**2 + 5*j**2 + 10*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13171242 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 25 = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 2, u: 1, v: 4}. Give prob of picking 1 h and 2 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65970240?\nAnswer: 2, 3, 5, 7, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(1\/8))))**9)**(-33) assuming t is positive.\nAnswer: t**(-2079\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 26 + 4, 5*l + 48 = -r. Factor 52\/9 - 2\/3*w**r + 74\/9*w.\nAnswer: -2*(w - 13)*(3*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 33 = 3*m - 3*b, 2*m + b - 11 = 0. Suppose -4*x = -3*y - m*x - 2, -3*y + 10 = -x. Suppose -y*c + c + 11 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 + n + 1. Let x be u(-1). Let g(z) = -3*z - 6. What are the prime factors of g(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58534920 by 2926746.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25455408 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 78 = 270. Let s = v - -446\/7. Let z be (-8)\/14 + (32\/7 - 0). Which is the second biggest value? (a) -2 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2572?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 10*u. Give r(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -50. Suppose 3*o = 3*f + 5*o - 6, o - 8 = -4*f. Find the third derivative of f*u**g - 3*u**4 + 17*u**2 - 4*u**2 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 10*z - 11. Let u be w(8). Suppose 10*k = u*k + 75. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = y + y - 69, -2*d = 2*y - 66. Let b = -6941 - -6955. Calculate the remainder when y is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322420 and 12690.\nAnswer: 8705340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6957, -13912, -20867, -27822, -34777, -41732?\nAnswer: -48687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40105536 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 54*c**2 - 55*c - 31. Calculate b(55).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 525\/90 + (-2)\/(-12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 722 + -731. Let d(z) = z**3 + 10*z**2 + 9*z. Give d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 9*z**2 + 1259*z - 12788. Give u(10).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -139*i - 285. What is the hundreds digit of m(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2458, 4, -3.\nAnswer: -2458, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-410)\/(-123))\/(4\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -30, -22, -12, 0, 14, 30?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.5. Let g = -0.0369 - 0.0131. Let d = 0.93 + -0.73. Which is the smallest value? (a) g (b) d (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.10671 and -0.222.\nAnswer: -0.02368962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(5\/(-12)) - (-30)\/((-150)\/35)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/173533 - 12665389\/72883860. Let a = -1453\/12180 + 11\/87. Let y = b + a. Put -4, y, -3 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32319 to the nearest 100.\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(-3*c + 4*c + c)*(-1 - 2*c + 1) + 2 + 3*c**2 - c**2 - 1 to the form x*c + f*c**2 + r and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9811 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:11 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2\/3 - 2460*z + 7243144\/3 = 0. What is z?\nAnswer: -2554, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 23117\nAnswer: -6\/23117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9224753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13210107407210 plus 5?\nAnswer: 13210107407215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1639458 by -3.\nAnswer: 546486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47585?\nAnswer: 5, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -6, -0.41?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 24, -256, -2 in increasing order.\nAnswer: -256, -4, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205133237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 12*g - 7*g. Suppose -6*b + g - 3 = 0. Let p = -17 - -21. Solve -a - 1 - p = b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1 - -4 - (-1160)\/(-384))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -39\/18611, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 125.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1676621, 1676617, 1676611, 1676603, 1676593, 1676581, 1676567?\n\"Answer: -g**2 - g + 1676623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**0\/t)\/t)\/t)**(-4\/5)\/(((t\/(t*t**(-6)*t))\/t)\/(((t*(t*t\/((t*t\/t**5)\/t))\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70570 and 49399?\nAnswer: 493990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 3*l + 3. Let p(v) = -1 + 0 + 0 + v. Let m = 3 + -2. Give m*c(u) + 2*p(u).\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00029475382 rounded to 7 dps?\nAnswer: -0.0002948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*q - 138*q = 2*g + 59, -g - 13 = q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose r = 2*r - u. Suppose -3*w - 1031416 = r*k + 228592, 4*w - k = -1679996. What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -460*n**2 + 2*n + 13. Let l(m) = -461*m**2 + 2*m + 17. Calculate -4*b(s) + 3*l(s).\nAnswer: 457*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7235448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10844797.5 and 0.1?\nAnswer: -1084479.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 7895.8?\nAnswer: -7892.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 15, -315*x - 3*d = -311*x - 26259. Calculate the greatest common divisor of x and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 7*j + 12. Let k be g(-4). Solve -4*t + 2 = -n + 3, -n - 3*t + 8 = k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k*k**(-3)*k)**(-1\/12))**30 assuming k is positive.\nAnswer: k**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 4. Let r(o) = -o + 1. Let c(b) = -q(b) - 3*r(b). Suppose -12*s + 14*s = 4*t + 12, 5*s = -t + 52. List the prime factors of c(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00269 - 19935998500\nAnswer: -19935998499.99731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*c + 35*c + 106*c)*(2*c + c - 2*c) + (-6*c + 3*c - 3*c)*(0 + 3 - 1)*(-2*c + 2 - 2).\nAnswer: 252*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.2. Let y = -1.86 + -0.14. What is the smallest value in o, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1035855, 0.5, 4, -1?\nAnswer: 1035855","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.883095 + -0.122505. Let y = -1.24 + -69.76. Let u = g - y. Round u to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10333222 (base 4) in base 14?\nAnswer: -7654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 42350396*u.\nAnswer: 2*u*(u + 21175198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 2\/3*r**3 - 3 + 4*r + 0*r**2. Differentiate z(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 1, u: 5, j: 3, b: 5}. What is prob of picking 1 i and 3 j?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82013 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 44 = 2*d - 0*d, -d = 4*z + 10. What is the remainder when 26 is divided by d\/(7\/((-28)\/8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6257 + -2434. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 562, 3099, 8742, 18649, 33978, 55887?\nAnswer: 85534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - 27 - 24 - 18 - 2892*v as a*v + h and give a.\nAnswer: -2892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**3 + 1493*v**2 - 63356*v + 17980.\nAnswer: -(v - 155)*(v - 58)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 25 = -n. Let q = -8 - -12. Suppose 2*b + 4*r = -q, -2*r - 5 - 5 = -3*b. Solve 10 = -b*s - 3*s + 4*a, 5*s - n*a = -15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 31*t**2 - 21*t**2 - 3*t. Let a(n) be the second derivative of -7*n**3\/6 + 624*n. Give a(r(o)).\nAnswer: -70*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = 1 - 41 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 127 - 416 - 48*s**2 + 130*s - 429 + 248*s.\nAnswer: 2*(s - 9)**2*(s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54006 (base 7) in base 15?\nAnswer: -3e73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -230615500?\nAnswer: -230615502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -14*r**2 - 230*r + 11. Calculate the remainder when q(-15) is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 2*j**3\/3 + 3*j. Let h be p(1). Suppose w = h*f - 7, -2*f - 5*w = -w + 10. Solve -2*c + 7*c - 4*t = -f, t = c + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p - 596. Let r = -12 + p. Let k = r - 92. Calculate the remainder when k is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118361 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/77 and 89\/4851.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 15 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1100)\/15)\/(-4)*(-78)\/(-130)*4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1412*i**2 + 26*i - 23. Is s(1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Let r be 1*((-13)\/5 + 3). Is r at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 963415 and 1156098.\nAnswer: 5780490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 32*w + 250. Calculate y(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3*((-72)\/104)\/3. Factor q*a + 2\/13*a**3 + 6\/13*a**2 + 0.\nAnswer: 2*a*(a + 1)*(a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27600499 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8731, 17448, 26163, 34876, 43587, 52296?\nAnswer: 61003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -17. Let m(z) = -2*z - 5*z - 3*z - 6 + q*z. Let w(h) = -h - 1. Calculate -m(b) + 6*w(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b9b6 + 1?\nAnswer: 5b9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572450749 to the nearest integer?\nAnswer: 23926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:10 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {d: 3, r: 9, w: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 5\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -10.7. Let j = 1.2 - m. Sort -0.2, j, -3.\nAnswer: -3, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 1500472460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 135*f**2 - 6*f + 8. What is s(1)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {l: 2, t: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-735)\/154) + (-1710)\/570.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**7\/42 + 5*o**6\/24 + o**5\/3 + 1125*o**2. Find d, given that k(d) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 1) + 40 + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t - 120 = 0. Let h be (-17 - -23)*(-1)\/1. What are the prime factors of ((-16)\/h)\/2*t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 698*r**2 + 62*r - 53*r - 6*r to s*r + b*r**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Suppose 0 = 5*w - 25 + 5. Solve -q*d + w - 13 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (1 - 0 - 4 - 4). Suppose 5*k - k = -8. Put f, -16, k in decreasing order.\nAnswer: f, k, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 11*y**2 + 17*y - 30. Suppose 60 = 6*u - 2*u - 4*k, -4*k = 12. Is o(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooooocooocoooc?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 104 = -3*j, 122227*d + 152 = 5*j + 122225*d for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*c + 4*p + 11, c = -p + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822309 divided by 2.\nAnswer: -822309\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122 - 1010?\nAnswer: 100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2473 divided by 2473\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*z = 2307, -2*z = x + z - 1154. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*4\/1. Let k(z) = z**2 - 2*z - 12. Let r be k(5). Let f = w + r. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 5*d + 1. Suppose g = -10*u + 5*u + 11, 4*g = -16. Suppose u*t + 1 - 13 = 0. What is the units digit of s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000231968 to 7 decimal places.\nAnswer: -0.0000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -61, -121, -205, -313, -445?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07151 and -87193.2.\nAnswer: -87193.27151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 493\/9020?\nAnswer: 493\/9020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1121 - -1121. Is 1\/2425 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 647540979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56141 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67911.18 kilometers in centimeters?\nAnswer: 6791118000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 10198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 24 = 4*s. Let f(n) = -n**3 + 6*n**2 + 6*n. Let a be f(5). Suppose v - s = -2*t, -v + 6*v - a = 5*t. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 368 = -51*v - 24 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -196 (base 16) to base 7\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78263294 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3 - (-6 - 3)) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 5. Let y be h(15). Suppose -y*j + 287 - 77 = 0. Solve -2*q + j = 5*l, 2*l + 4*q = -q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -5) - (27 - 49)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1.77.\nAnswer: 8.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*b - 7758213 = -7784863 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 19*c**2 - c - 1. Let x be -3 + 6\/(-3) + 11. Let g(l) = -l**3 + 5*l**2 + 7*l - 7. Let r be g(x). What are the prime factors of y(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-20))\/(-4)*58\/(-348)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29750621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -10 - 3 - (2 + 6 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) - sqrt(2541)) + sqrt(21))*4*1)\/(sqrt(432) + (2*sqrt(432) + sqrt(432))*1).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**3 - 17*z**3 + 32*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - g)*(2*g - 4 + 4) + 112*g**2 - 231*g**2 - 11*g**2 as y*g + u + r*g**2 and give r.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - -3254?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + (sqrt(540) - -5*(sqrt(540) - -3*sqrt(540))))*5)\/(sqrt(50)\/(sqrt(30)\/sqrt(3)) - ((sqrt(60)*-3)\/sqrt(12) + sqrt(5))).\nAnswer: 220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 50*n**2 + 50*n - 27. What is o(24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83681587445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, s: 3, y: 4, b: 5, e: 6}. What is prob of sequence bu?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 0, 1540, 6.\nAnswer: -5, -2, -1, 0, 6, 1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeehehheehrekefh. Give prob of picking 1 k, 1 r, 1 f, and 1 e.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16663 - -16690. Let k be 4\/10 - 28\/45. Which is the third smallest value? (a) k (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 9*l + 3*t + 370, 3*t - 704 = 4*l. Is -177 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 466344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 2*m**2 - 4*m + 10. Let l be h(4). Let x = l - 78. Let z(p) = -p + 25. Let i be z(x). Solve 2*w + w = -2*u - i, 5*u + 3*w + 10 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Suppose 0*n - n + d = 0. Suppose 5*x + n*v - 26 = 36, 3*x = 2*v + 46. Calculate the smallest common multiple of x and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q. Suppose -2*d - 2*d + 20 = 0. Let p(j) = j**3 - 6*j. What is d*p(x) + 6*z(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -24. Suppose -h + b + 5 = 0, 3*h - 6*h - u*b - 3 = 0. Suppose -2*c + 196 = h*y, 95 = y + c - 3*c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4 = 0, -4*z + 3*z + 1424 = 27*g + 4*z for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -992*b**3*i*z**2 - 5*b**3*i*z - 28*b**3*z - 2*i*z wrt z?\nAnswer: -1984*b**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -399885 (base 15) to base 2.\nAnswer: -1010100011010011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-6.2\nAnswer: -0.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72177517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10805084*v**2 + 5348069*v - 10 wrt v.\nAnswer: 21610168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2468*i + 5384.\nAnswer: 2468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 61536 (base 7) to base 2\nAnswer: 11101010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**4\/24 + r**3 - r**2. Let u be j(0). Solve u*q + 16 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180.65 + 179.65. Let i = -2.3 - 0.5. Which is the second biggest value? (a) z (b) -2\/7 (c) i (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240876517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 32 = -3*s. Suppose 7 = -3*p + s. Solve -i + 5*d - 3 = 5, -2 = -4*i + p*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/8 - 71*f**2\/4 - 5041*f\/8 = 0.\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 + -3 + 0 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 10. Let r be d(-9). What is the first derivative of -r - 10*n - n + 3 wrt n?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 689192, 1378361, 2067530?\n\"Answer: 689169*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-12)*(-20)\/(-18).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 5, -4, -2 in increasing order.\nAnswer: -4, -2, -1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439993 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 5.8?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -267. Let m = x - 98.9. Which is the closest to 1? (a) -2 (b) 3\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -620.06 - -725. Let w = t + -106. Let k = w - -0.06. What is the smallest value in -0.3, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(245) + 0 + 2)*4*-4)**2*-3.\nAnswer: -191237 - 21504*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*a - 8 = 0, 6 = 2*r + 5*a - 2. Suppose -3*h + 23 = 4*o, 0*h - h - r = -o. Calculate the smallest common multiple of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 56301 = 32421. List the prime factors of k.\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10474111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b7c (base 14) to base 3.\nAnswer: -1002110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p + 0*p - 3*p - 65495*p**2 + 2*p - 4. Let f be j(7). Let c = f - -1609231. What is c rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-96)\/(-18))*(-128)\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hva when three letters picked without replacement from {x: 7, a: 2, h: 3, v: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 times 2345?\nAnswer: -332990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/700 and -47\/245.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -1, -5, -29 in descending order.\nAnswer: 121, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16504 and -4?\nAnswer: -66016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-10 - (-9 + 1)) + -5) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 730 - 728. Solve 4*i + 3*f - v*f = -16, 5*i + 20 = -f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q**4 + 42605*q**3 + 662860*q**2 - 342080*q = 0. What is q?\nAnswer: -16, 0, 1\/2, 4276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 9.281.\nAnswer: 9.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3369036565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/45 + 17*x**4\/18 + 32*x**3\/9 - 97*x**2. Find v, given that t(v) = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366.8 + 370. Which is the second biggest value? (a) x (b) 1\/6 (c) 2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1950939 and 6156?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 225*w + 22. List the prime factors of g(-18).\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86029\/11 - -22371181\/2860. Let l = r + -3\/130. Let z = -1\/3239 - -3242\/9717. Which is the biggest value? (a) 2\/7 (b) 1 (c) z (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5 = 3*x + 22 + 1, 3*h = 4*x + 2*h + h - 2*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 3*a)*(47*a**2 - 15 + 15)*(a**2 - 4*a**2 + 7*a**2 + (-a - a + a)*(-4*a + 2*a + 0*a) + 0 + 0 + a**2).\nAnswer: 329*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 6:05 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 304 = 30*v. What is the remainder when 415 is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012272648 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10323141 (base 5) to base 10.\nAnswer: 89171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.85 + 835300.62?\nAnswer: 835169.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:51 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 64. Let p = 35 - v. Suppose 5*j + d - 8 = 178, -p*d = -2*j + 92. Is 38 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 - 76*b**4 - 1741*b**3 - 6020*b**2 - 5700*b = 0?\nAnswer: -15, -2, 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 1, -6, -5, -2 in decreasing order.\nAnswer: 107, 1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*q**3 + 184136004*q - 184136004*q.\nAnswer: 118*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854255 = 51*m - 1510288 - 1157884. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 89025*f**2 + 445123*f - 4. Give p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86098*j**2 - 86248*j + 150.\nAnswer: 2*(j - 1)*(43049*j - 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by 9509\nAnswer: -1\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 7*b**2 + 2*b + 6. Let h be m(-8). Suppose 0*q = -3*q + h. 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: What is -0.0004518 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2007747 in ascending order.\nAnswer: -2007747, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 226713474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6418031479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 4*x**2 + 3*x**2)*(-4*x + 3*x + 3*x) + (1 - 1 + 2*x**2)*(5*x + 22*x - 54*x).\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 (base 11) in base 2?\nAnswer: -111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 0*s - 31*w - 155 = 0, -1823*s - 4*w + 4 = -1828*s + 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/107 + -458\/535. Which is the fourth biggest value? (a) -2\/3 (b) 8\/9 (c) o (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 557507 and 670?\nAnswer: 5575070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12989553 divided by -37.\nAnswer: 351069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {v: 1, w: 1, o: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3328*u**3 - 3836*u**2 - 10*u - 10. Let l(b) = 3*b**3 - b**2 + b + 1. Let n(w) = -g(w) - 10*l(w). What is the third derivative of n(q) wrt q?\nAnswer: 19788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = 1. Solve -s = j + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/313 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049*u + 43004 = -605*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = w + 18. Suppose -2*a = k, -a - w*a - 3*k - 4 = 0. Solve -a*d + 4*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 138. Suppose 5*f = 4*g + z, -5*f = -0*f + 3*g - 79. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12322333 (base 4) to base 3\nAnswer: 1102220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/6 + (-1)\/(-3). Let s = 25226 - 75676\/3. Which is the third biggest value? (a) k (b) s (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/224 and -75\/14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zplzplwqpllppll. Give prob of sequence zq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16202015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.0268 - -0.0268. Which is smaller: 140 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5cac - 5?\nAnswer: 5ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(2 - 1) - (-1218)\/180 and -71\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12 and 45\/6238.\nAnswer: 37428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7385350.\nAnswer: 2, 5, 7, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.19\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/36 and 37\/405474192?\nAnswer: 405474192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4008952 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgge when four letters picked without replacement from {h: 1, e: 1, w: 2, j: 1, a: 3, g: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-2))\/3 - 0. Suppose 3*j + j + 4 = -i, 0 = 5*j + i + h. Let q(y) = y**3 + y**2 + y + 4. Let p be q(0). Solve 4*x + 24 - p = j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**4 - n**3 + 4*n**2. Let y(x) = 3*x**4 - 2*x**3 - x**2 - 3*x - 15. Let c(j) = 2*l(j) - y(j). What is the second derivative of c(v) wrt v?\nAnswer: -12*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 31*h**2 - 51*h + 603. Calculate j(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555 (base 7) to base 5.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1249, -1182, -1117, -1054?\n\"Answer: -s**2 + 70*s - 1318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) -255\/137 (c) -3 (d) -2\/19 (e) -0.1 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5 + u - 2*u + 2*u. Suppose -3 - 12 = 3*a. Suppose 2*n + 3*m = -5, 9*m + 4 = -n + 6*m. Let r(k) = -1. What is a*r(g) + n*w(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1226*m**2 - 3339*m**2 + 3244*m**2 - 8749*m**2 - 13847*m**2. Let d(p) = -p**2. Calculate c(d(i)).\nAnswer: -21465*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44766103 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b + 3*o + 1089 = 0, 4*b = -5*o + 1416. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)*x**(4\/3)\/x*x)**(-2\/133)\/(x**(1\/6)\/(x\/x**(-5)))**(1\/21) assuming x is positive.\nAnswer: x**(905\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 17. Let a be o(-5). Suppose 4*x - 3*x = -a*t + 93, -4*x = 3*t - 147. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1480)\/(-111)*(-9)\/42.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5948 divided by 1487.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 9:41 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -378*g**2*k*r**3 + 8*g**2*k + 2*g**2*r - 6*g*k*r**3 - g*r**3 + 23*g*r - g - 53*k*r**3 wrt g?\nAnswer: -756*k*r**3 + 16*k + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2 + 0*y + 6 - 3*y - 20*y + 11. Let d(j) = -2*j**2 - 8*j + 6. Let u(l) = -4*a(l) + 11*d(l). List the prime factors of u(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = 0, -3*c + 10*l - 14*l = -62501. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 - -14c8dba?\nAnswer: 14c9003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 5*v + 7. Let t be k(4). Let f be (2 - 2)*(t\/(-2))\/(-3). Determine n so that 0 + 0*n + 0*n**4 - 1\/3*n**3 + 1\/3*n**5 + f*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13823275.85 rounded to the nearest 1000?\nAnswer: -13823000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025251 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**3 - 18*n - 7. Let a(d) = 3*d**3 - 9*d - 3. Let w(z) = 7*a(z) - 3*m(z). What is the second derivative of w(i) wrt i?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -47083*a - 1. Let p(i) = -26*i + 3. Give f(p(r)).\nAnswer: 1224158*r - 141250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/9*(-54)\/45\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -16.8. Which is the second biggest value? (a) -0.1 (b) o (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126423803.\nAnswer: 11, 11493073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229589114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -1, -569 in descending order.\nAnswer: 83, -1, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 263*p*x**3 - p*x**2 - 49*p - 2*x**2 wrt x?\nAnswer: 1578*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let l be o(-5). Let f(v) = -v**3 - v**2 - v + 2. Let q be f(0). Solve -3*m - q - l = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68750830 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -201?\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.158915 millimeters to nanometers.\nAnswer: 5158915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 38*g + 79*g - 1080. What is the greatest common factor of g and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2123387228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322864 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + d - 1. Let b be t(-2). Suppose -6*m + 137 = -b. Solve -u = 4*u + m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 1 - 1 + (-2*u + 2*u - u)*(0 - 2 + 0))*(u - u - 2*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o - 75*o + 32 = 0. Sort -5, o, -180, 1 in decreasing order.\nAnswer: o, 1, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81627825*h**2*s**3*y**2 + 2*h**2*s**3 - 140*h*s**3*y**2 - h*s**2*y - 2*h*s*y - 5*h*s - 174*s**2*y**2 + 14*s wrt h?\nAnswer: -163255650*s**3*y**2 + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.7719 millennia?\nAnswer: 67.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -19. Solve -q + b = 8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 155. Let y = 71 - 13. What is the remainder when y is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, 0, 4, -84 in decreasing order.\nAnswer: 122, 4, 0, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2}. Give prob of sequence va.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2964*w + 3754*w + 537440 = 0 for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**7\/21 + 4*a**6\/15 + 4*a**5\/5 - 32*a**4\/3 + 112*a**3\/3 - 64*a**2 + 797*a. Factor b(x).\nAnswer: -2*(x - 2)**4*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*m + 6. Let n = m + -5. Let u be n - 5\/(35\/8). What is the closest to 1\/3 in -5, 1\/3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w**3 + 8*w**2 - 13*w + 9. Let g(x) = -5*x**3 - 3*x**2 + 6*x - 5. Let h(d) = -6*f(d) - 13*g(d). Calculate h(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 307 - 137. Let c be (-12 - -17)*((-3)\/(-3) + -14). What is the units digit of (78\/c)\/((-4)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:57 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 188\/((-1175)\/25)*3\/(18\/(-4))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 25*j + 3. Let m(g) = -g**2. What is u(m(q))?\nAnswer: -25*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/3 (b) -2\/7 (c) -0.06 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3990, -15963, -35918, -63855, -99774, -143675, -195558?\n\"Answer: -3991*f**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 7*c**2 + 9*c + 9. Let d be m(-8). Is d greater than or equal to -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -438 + 853. Let w be -9*(f\/(-105) + 4). Sort 2, w, 3 in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1888 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*h - 38 = 0, 0 = 4*m + 2*h - 3*h - 76. Suppose -3*p = -x + 16, m*p - 18*p - 5*x = 4. Is -44\/7 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2414.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/34682 and 23\/18060.\nAnswer: 313178460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 7) in base 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -46*a**2 + 5*a + 10. Let l(p) = -231*p**2 + 24*p + 48. Let n(y) = 24*h(y) - 5*l(y). Let d(c) = -2*c**2. Determine n(d(z)).\nAnswer: 204*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 988. Let z(h) = -2*h**2 + 161*h. Calculate j(z(i)).\nAnswer: -2*i**2 + 161*i + 988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:35 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylgg when four letters picked without replacement from {y: 1, b: 3, g: 3, d: 3, l: 4, i: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-4))\/((-38)\/(-19))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -14 - 26. Let r = -6 - h. Suppose 19 = r*q + 4*k - 3, 4*k = 3*q - 13. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l + 10. Let h be w(-10). Let b = -9 + 6. What is the units digit of 3 - (0 - b) - h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5312 (base 6) to base 13.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m - 8 = 0. Suppose m*j = 3*j + 16. Suppose 786*q = -3*v + 784*q - 39, -2*q + 80 = -4*v. Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0705 + -3.0705. Sort h, -0.41, 1 in descending order.\nAnswer: 1, -0.41, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from iviivppiipbe?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 110. What is the second biggest value in -0.09, -3, 1\/2, x?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11) + -4 - sqrt(11)) + 5.\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/3 - 2*a**2 - 2*a - 45. Let c(v) = 2*v**2 + 9*v + 4. What is -6*c(x) - 13*d(x)?\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1643 and 208444?\nAnswer: 11047532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -222.3 - -222.3009798. Round b to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*2\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - ((-19 - (38 + -124)) + -28).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 151, 119, 73, 13, -61?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 933350147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-527 + (-11 - -4))\/(-2)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 11*q + 12. Let v be g(-9). Let f be (-6)\/(-21) - 128\/7. Let h = f + v. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**7\/2520 - m**6\/240 + m**4\/12 + 6*m. Let f(d) be the third derivative of n(d). Factor f(q).\nAnswer: q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from ooerrreojyoeee.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02285 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 - 2*n. Let g be w(-2). Suppose 0*u = u + 2*p + 194, 2*u + 3*p + 389 = 0. Let z = -126 - u. Calculate the highest common factor of z and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 28?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -16*o + 71. Let g be v(4). Solve -g*u + 13 = -15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1.2. Let u = 5 + 0. Let j = -3.3 + -0.7. What is the closest to s in 0.1, j, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*l + 1003 = -1787, 0 = -2*g - 4*l + 1134. Calculate the remainder when g is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:14 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6848.891 days to weeks.\nAnswer: 978.413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-570)\/(-45))\/((-4)\/(-6)). Suppose -o*z + 24*z = 60. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggaaagg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 - 188 = 0. Suppose -y = -8*g + 3*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5 (c) -598 (d) 4.59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/280*4*(-20)\/(-96).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.3 - -14.7. Which is bigger: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118.46 - 116. Let x = m + 0.54. Which is the smallest value? (a) 0.3 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 54 and 39703.\nAnswer: 39757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 145 and 0.4?\nAnswer: 144.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 20*n**2 - 21*n + 43. Let v be m(19). What is the third derivative of -7*t**3 + t**2 - 6*t**v + 5*t**3 + 2*t + 14*t**5 wrt t?\nAnswer: 480*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, l: 1, w: 4, i: 1, t: 4}. Give prob of picking 1 t and 1 i.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 5*j**2 + 47*j - 28. Let o be k(-10). Suppose -l + 4 - 3 = -o*c, 4*l = 4. Solve 4*s - 3*b + 5 = 0, b = -c*s + 3*s + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -249.29 + 179.401. Let q = -70 - v. Let r = q - 0.069. Is r < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14769788 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -a, -5*a + 7 = 5*u - 18. Suppose -u*r + 31 = -r - 3*i, -4*i = 5*r - 60. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 518787*o + 7*o**3 - 518788*o + 9*o**3 - 3*o**3.\nAnswer: 15*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + -4*(sqrt(66) - (sqrt(66) - sqrt(66)*-1 - sqrt(66))))\/(sqrt(11) - sqrt(22)\/sqrt(2)*-4))\/(-1*(-4*sqrt(120)\/sqrt(5))\/sqrt(12)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -60 + (-3 + 0 - -21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 14*b - 2. Let q(u) = 5*u**2 - 42*u - 1447. Give q(x) + 3*v(x).\nAnswer: 2*x**2 - 1453","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8135, 8138, 8141, 8144?\nAnswer: 8147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196872264 divided by 39708.\nAnswer: 4958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 34. Let b be p(-12). What are the prime factors of b + 45 + (-2 - 2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - 5*r - 3*r)*(3 - 10 + 0)*(0 - 4 + 1) to a + x*r and give x.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*x - 6*x**3 + 28*x**3 + 98*x.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/4 and 95\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1672.5424 - 1679.7. Round o to 1 decimal place.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5 (b) 1\/61 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let a(v) = 2*v**2 - 81*v - 83*v + 161*v - 5. Let q be a(-1). Determine j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/18 + (-2)\/6. Let b be (-11 - 19)*(-4)\/s. What is the third biggest value in b, 1, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t - 34. Let c = -5 - t. What is the greatest common factor of 60 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 - (6 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.6 <= -1525430\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2345, -2327, -2293, -2237, -2153, -2035, -1877?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 4. Calculate b(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6382 + 6381. Put d, 46, -4, -3 in ascending order.\nAnswer: -4, -3, d, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 10*x**2 - 18*x - 21. Let f be r(7). Let g(s) be the first derivative of s**4\/4 - s**2\/2 + 11*s - 2. What is g(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(147) - -2*sqrt(147)) + -4.\nAnswer: -6 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -281, -281, -275?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9893469?\nAnswer: 3, 3297823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 34873.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -32*y + 1024. Calculate g(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 430783 and 25.\nAnswer: 10769575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6954 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.609 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5786 divided by -5786\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7050 by 1175.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 15*q**2 + 1 + 2 - 8525*q + q**4 + 8524*q to the form f*q**2 + y + t*q**3 + z*q**4 + v*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*l + 1, 7*l - w - 13 = 2*l. Let m(p) be the first derivative of 1\/9*p**3 + 1\/3*p**l + 1\/3*p + 4. Factor m(q).\nAnswer: (q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 169 = 2*z. Let b = 36 - 16. Let k = b + z. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.12 and -112.0436.\nAnswer: -112.1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 - 167. Let w(t) = -10*t + 21. Does 27 divide w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 25. Let w = -0.24 + -0.06. What is the nearest to q in 0.3, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*r**(-2)*r)*r**4*r*r\/((r*r**3\/r*r)\/r)*r**(2\/5)*r assuming r is positive.\nAnswer: r**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -63*b**3 + 2*b**2 + 4*b + 3. Let f be y(-1). Is f*10 - (1\/(-1) + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 63.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2342 is divided by 96.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 18*k**2 - 7. Let l(t) = -2. Let z(b) = -b**2 + 10. Let h(g) = 5*l(g) + z(g). Calculate m(h(i)).\nAnswer: 18*i**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 45*b**2 - 12702*b = 0. Calculate b.\nAnswer: -73, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -30, -66, -126, -216, -342?\n\"Answer: -p**3 - 3*p**2 - 2*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -142, -372, -778, -1408, -2310, -3532, -5122?\nAnswer: -7128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2 + 44064733*n + 326663885 wrt n.\nAnswer: 6*n + 44064733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/35 + (-13)\/(-819)*-9. Sort a, 5, 1\/7, -1 in increasing order.\nAnswer: -1, a, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -717.2 - -609. What is i rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -6. Let g(s) = 5*s**2 + 6*s - 7. Let v be g(n). Find the common denominator of -95\/4 and -1 - (-12)\/v - -3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/3*1659\/17696?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -24978.85 to zero dps.\nAnswer: -24979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 5*o - 2. Let d be y(3). Suppose -5*a + s = -13, s - 4 = -d*a + 5*s. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/3 - 674*q**3\/3 - 3001*q + 2. Suppose r(h) = 0. Calculate h.\nAnswer: 0, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24921 and 15336?\nAnswer: 199368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 1:30 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118 + 343 - 971*v**4 + 164 + 180 - 45 wrt v.\nAnswer: -3884*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29143\/317676 - 4\/3453. What is the common denominator of a and -87\/8?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110706485?\nAnswer: 5, 29, 763493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.864 (b) 5 (c) -381\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*z - 2 - 24 = 0, 0 = -5*u - 3*z + 22. Let y be ((-126)\/12)\/(1\/2). Let o be 7\/y + (-38)\/(-6). Solve -g - u*g = o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -1, 0, 731?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)\/(c**(2\/7)*c)*(c*c*(c**(-3)*c)\/c)\/(c**(-8)*c) assuming c is positive.\nAnswer: c**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*i = 483*i - 6040 - 13252 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10) - (sqrt(110)\/(sqrt(11)*1) + sqrt(10))))**2 - (1 + -1 + sqrt(396))**2.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*a - 13077 - 149488 = 2072*a for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**3 + 8*u**2 - 4. Let r be k(2). What is the tens digit of 30\/r + (-2145)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 1:47 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -52*w**2. Let t(l) = 11*l + 122. Let k be t(-6). Let f(o) = k*o + 58*o - 116*o. Determine f(r(x)).\nAnswer: 104*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3897*h**3*z + h**3 - h**2*z - 34779*h*z - 2*z - 11 wrt h.\nAnswer: 23382*h*z + 6*h - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -159 from 3712.\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678834334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 1, -1, -2, -5 in decreasing order.\nAnswer: 1, -1, -2, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346\/253 - 44\/23. Which is the third smallest value? (a) 0.1 (b) f (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 2\/2077, -2\/3, -11?\nAnswer: 2\/2077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 - (-40)\/18. Let c(o) = b + 2*o - o - 2*o + 2*o. What is c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144411273 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3258 + -2942. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-19))\/((2720\/1292)\/(-8))*(-200)\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -110\nAnswer: -123\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(10\/(-4))*(-2)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + -8. Is 1220 + 4\/2*w\/40 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h - 29. Let v be k(-5). Sort v, 5\/3, 2 in descending order.\nAnswer: v, 2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(3 - 201\/4). Let q(f) = -185 - r + 313*f + 374. Let v(o) = o. Calculate v(q(u)).\nAnswer: 313*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -81*r**2 - 10*r + 8. Let f(h) = 80*h**2 + 10*h - 7. Let j(d) = 5*f(d) + 4*k(d). Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 7 + 5 - 8*i - 27.\nAnswer: -8*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 46*w**3 - 298*w**3 + 5.\nAnswer: -252*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l + 71. Let m be b(-17). Factor -r**m - 329*r - 32*r + 15693*r**2 - 15731*r**2.\nAnswer: -r*(r + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 241937\nAnswer: -19\/241937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 16 = 4*b, 0 = -3*b + 4*y + 256063 - 256094 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201220001212121 + 12?\nAnswer: -201220001212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 55, 74, 77, 58?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-96)\/9 + (15\/27)\/((-5)\/(-6)). Put -119, 4, b in increasing order.\nAnswer: -119, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103034*j**2 + 412102*j**2 - 103032*j**2 - 103026*j**2 - 103035*j**2.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8937173 rounded to the nearest ten thousand?\nAnswer: -8940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6205933 to the power of 1\/2, to the nearest integer?\nAnswer: 2491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 707459 + 0.25.\nAnswer: 707459.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and -53\/670?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:03 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 0*v + 6*v)*(-v**2 + 0*v**2 + 0*v**2) - 15072*v**2 + 121*v + v**3 + 15072*v**2 as g*v + h*v**2 + x + y*v**3 and give g.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2086688*b**4 + 10979772*b wrt b?\nAnswer: -25040256*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (3 - 2) + (10 - 2). Suppose -1059810 = -11*q + k*q. Let g = q - 71962. Round g to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2\/3, 4.05?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h = 171*h - 42 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 40*a**3 - 17*a - 1318*a**2 - 3 + 1318*a**2.\nAnswer: -40*a**3 - 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*q = -b + 12, 0 = -b + 3*q + 5. Suppose -3*x + 2*x - 8 = 0. Let p = 10 + x. What is the greatest common divisor of p and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1 + (-2)\/2. Let w be 1*g\/(-28)*4. Let p = 248\/3 - 82. What is the third biggest value in p, -2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.52 - 3225.98. What is a rounded to the nearest ten?\nAnswer: -3260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -109*v - 456. What is w(-6)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.36994 + 269.62006. Let a = t - 273. Let v = a + 0.01. What is the nearest to 1\/3 in v, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 3137736?\nAnswer: 28239624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01414 rounded to four dps?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 2*h - 5. Let n be 2*(-2 - -1) - 2. Let i be f(n). Find the second derivative of 2*o + 3*o - 3*o + o**i wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 86*a**2 - 102*a - 17. What are the prime factors of t(9)?\nAnswer: 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608081091 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: Is -508 at least as big as -504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40787, -40792, -40801, -40814?\n\"Answer: -2*n**2 + n - 40786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*b**4 - 32*b**3 + 32*b**3 + (-26 - 32 + 90)*(0 + 0 + 6*b**4).\nAnswer: 156*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-6)*8\/(-36))\/(24\/(-36)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.3 + -77.3. Let t = x - -74. Let h = -341\/5 + 68. Put h, t, 0.5 in ascending order.\nAnswer: h, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**3 - 10*y + 1. Let q(t) = -t**3 + t**2 + t + 1. Let k(p) = d(p) + 5*q(p). Let h be k(-6). Let v = 2 + -1. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 3*c, -5*c = -4*c. Solve 0 = -4*g - r*m, -g - 2*m - m + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1847, 1790, 1693, 1556, 1379, 1162, 905?\n\"Answer: -20*r**2 + 3*r + 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1764*s**2 + 194*s**2 - 4093*s**2 - 2551*s**2.\nAnswer: -8214*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/90)\/(22\/(-330))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 494895, 989786, 1484659, 1979508, 2474327?\n\"Answer: -f**3 - 3*f**2 + 494907*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - m + 23 = 0, 5*y + 79 = m + 188. Suppose 78 = 20*j - y. What is the highest common factor of 145 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1236?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*c**3 - c**2 - c**4 - c + 102*c**3 - 1 - 52*c**3 to y*c**4 + j + a*c**2 + b*c**3 + q*c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -11, -4\/2069, 1\/6 in ascending order.\nAnswer: -11, -2, -4\/2069, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 6. Let d be (q\/6)\/((-6)\/(-9)). Let i = 5 - d. What is the greatest common factor of 11 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-2 + 10) - (0 - 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -6343, -4 in descending order.\nAnswer: 5, 3, -4, -6343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -20. Let g = w + 9. Let h = 5223.9 + -5224. What is the closest to -1 in 1\/2, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/167960 and 91\/4598.\nAnswer: 20323160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1139139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1415 + 2292. Suppose 9*w - t = -2*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 = -8*g, -2*p - g + 258 = 0. Let m = p - 125. Find the third derivative of 31*h**6 - 65*h**m + 33*h**6 - 27*h**2 - 12*h**2 wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(1 + 1 - 3) - 5 + 2 + 2 - 4 - 523 + 279)*(o**4 - 3*o**4 + 5*o**4).\nAnswer: -741*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:29 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(7) + -1)**2 + 1.\nAnswer: 6*sqrt(7) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-12)\/(-38)*8\/(-24)). Find the second derivative of 267*d**3 + d**2 + 15*d - d**2 - 38*d - m*d wrt d.\nAnswer: 1602*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 47081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -96, -343, -912, -1923, -3496, -5751?\n\"Answer: -20*d**3 - 41*d**2 + 16*d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -676*u + 91. Let p(x) = -15*x + 2. Let d(v) = -2*b(v) + 91*p(v). Let z(o) = 19*o. Let m(s) = 7*d(s) + 5*z(s). What is m(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-8162267.1\nAnswer: -8162265.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003230394063 to five decimal places.\nAnswer: 0.00323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drncrrfrrcrrcf. What is prob of sequence nd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((170\/51)\/(30\/9))\/((-12)\/102)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351.3 - 356.3. Which is the smallest value? (a) x (b) 3\/4 (c) -246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4095174 and 3294?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4000) - sqrt(4000) - sqrt(4000) - sqrt(4000))\/sqrt(8)*-4.\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -13*x + 645. What is the hundreds digit of l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1936 and 44856636.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 3*o - 25, 0 = 3*o + 15. Let f(a) = -3*a**v + 0*a + 0*a**2 + 14 - a + 4*a**2. Let u(l) = -294*l - 2352. Let x be u(-8). Determine f(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317952 by 256.\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.067 from -0.1.\nAnswer: -3.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218.3 - 219. What is the third smallest value in 0.02, q, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 3 + 2)**2*-1 - sqrt(24)\/(sqrt(968) - sqrt(968)*-1 - sqrt(8)).\nAnswer: -28 - 211*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 105. Let z(s) = 3*s**3 + 6*s**2 + 3*s - 2. Let o(m) = 10*m**3 + 18*m**2 + 8*m - 7. Let t(q) = y*o(q) - 21*z(q). Factor t(k).\nAnswer: -3*k*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 + 609*i**2\/5 - 2256*i + 10980.\nAnswer: -3*(i - 183)*(i - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4726702 to the nearest one thousand.\nAnswer: -4727000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -11*n + 2*n - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -595*o + 1798. Let j be w(3). Solve 4*f + j = 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z = 55*z - 72 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.7 + 16. Suppose -114*t + 8 = -122*t. What is the nearest to 0 in -1\/4, b, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 18 + 4\/3*j**3 + 12*j**2 - 28*j. Factor x(i).\nAnswer: 4*(i - 1)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10474805 to the power of 1\/2, to the nearest integer?\nAnswer: 3236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (9 - 20) + 29 - 54?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 318805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3342 divided by -6\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89592*v - 176403*v + 75793*v.\nAnswer: -11018*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 12 = 5*p - 8, -4*g = -3*p + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 1\/6, 1, -1\/9, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t - 21. Let m(j) = j**3 - 22*j**2 - 22*j - 8. Let h be m(23). Let u be (-2)\/(-6) + (-65)\/h. Let k be v(u). Is 1\/70 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (-3 + 10 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4 + 8*q - 2 - 2*q - 4. Suppose 0 = 4*o - 0*o + 12, 0 = -n + 4*o + 18. Calculate the remainder when j(5) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u. Suppose -4 - 28 = 4*s. Let x(p) = -4*p. Let t(q) = s*x(q) - 3*w(q). Let d(m) = -8*m. Determine t(d(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**3)\/(t**4*t)*(t\/((t\/(t**2\/t)*t)\/t)*t)**(1\/29) assuming t is positive.\nAnswer: t**(-201\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -38791.\nAnswer: -77582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v - 7. Let q be (-2)\/(-4) + (-17)\/34. Suppose 5*j - 21 = 3*k, 3*j + q*k = -k + 7. Let h(b) = j*b + 5*b - 4*b - 6. Determine -3*h(s) + 2*p(s).\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 1. Let r(p) = 2*p + 1. Let k(h) = -h + 2. Let u be k(-3). What is u*r(o) + 3*s(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-4))\/(37 + 6195\/(-168)))\/((-30)\/2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -26, -40, -42, -26, 14, 84, 190?\n\"Answer: v**3 - 3*v**2 - 18*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210 + 20*m + 9*m - 46*m + 10*m)*(-m**2 - m**3 + m**2).\nAnswer: 7*m**4 - 210*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -3*s, -4*m = m + 5*s - 25. Solve -m*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43025 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1845905000 to the nearest 1000000.\nAnswer: 1846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*l + 189637 + 403631. Let k = 32683 - l. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y - 0*y. Let i be 0\/(-2*2\/y). Suppose -3*n + 2*n - 5*h + 72 = i, 3*h = -5*n + 426. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 9801?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1824082, -1823872, -1823662?\nAnswer: -1823452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/29 and 65\/8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 9494532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8396, -2\/7, 0.9 in increasing order.\nAnswer: -2\/7, 0.9, 8396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/o**(-1)))\/o))**(2\/13)*((o*o**6*o*o)\/o)\/((o*o\/((o\/(o**(-2\/3)*o))\/o))\/o) assuming o is positive.\nAnswer: o**(278\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -723, -0.0482, -0.8, 5 in descending order.\nAnswer: 5, -0.02, -0.0482, -0.8, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 12812388.\nAnswer: -12812388.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-23 - -5) + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 3. Let h be n(0). Suppose -a - h*d + 2 = 0, 2*a + 0*a - 4 = 2*d. Solve a*q = q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*i + 363 - 46, 2*f = i - 599. Let q = f - -450. Suppose -4*s = -5*h - q, -s - 90 = -3*s - 2*h. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 5897*h - 33 + 5897*h - 11793*h - 441 in the form z*h + d*h**2 + k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-16) + 3)*4. Suppose 145 = -o*r - 0*h + 5*h, 10 = 2*h. List the prime factors of 8\/r + (-132)\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hpprprppppppph.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/30727192 and 1\/5572.\nAnswer: 215090344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a**2 - 2*a)*((-6 + 0 + 4)*(4*a - a**2 - 4*a) + 4*a**2 + 1 + a**2 - a**2).\nAnswer: -12*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1059, -4271, -9629, -17133, -26783?\nAnswer: -38579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (4 + 0)\/(-4) + 8 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y + 7. Let x be -41 + 2\/(-1) - 2. Let k be ((-4)\/(-6))\/(5\/x). Is p(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnmqqdn. What is prob of picking 1 n and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 5, -14, -2\/7, 1\/52?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*g + 20 = -9*f, 7 = -f - 4*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1765 by 5.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -142265 and -5.\nAnswer: -142270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15761 = -1224*m - 9135 - 9376 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 12. Let y be z(9). Let b = y - -136. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -751, -1087, -1425?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4\/7 (b) 657 (c) -149.8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/7 + 20*n**3\/21 + 33*n**2\/14 + 18*n\/7 - 33. Factor b(t).\nAnswer: (t + 2)*(2*t + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-3*2)\/(-4*sqrt(35)\/sqrt(5)) - (-1*(sqrt(114) - (sqrt(114) + (sqrt(114)*-3 - sqrt(114)))))\/(sqrt(18)\/(sqrt(15)\/sqrt(5)))) + -2.\nAnswer: -2 + 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i**2 - i**2)*((0 + 0 + 1)*(2 + 2*i - 2) - 244*i - 98*i - 257*i).\nAnswer: 597*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022995177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 - 5*v**4\/12 + 4*v**3\/3 + 7*v**2. Let t be r(6). Let f = t + 26. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10252134 divided by -2.\nAnswer: 5126067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/2 + 125252*c**2 - 5510362*c + 60611320.\nAnswer: -(c - 250460)*(c - 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*u**3 + 3*u**3 - 2 - 3*u**3)*(-22*u + 131 - 131) in the form t*u + v*u**3 + n*u**4 + m*u**2 + d and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r. Let m(b) = -b + 7. Let j(v) = v - 6. Let d(y) = 6*j(y) + 5*m(y). Let z(p) = p**2 - 3*p - 3. Let i be z(4). What is i*w(g) + 2*d(g)?\nAnswer: g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -605 - -607. Which is the second biggest value? (a) 0.4 (b) 7\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12436555 - -4?\nAnswer: -12436551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Let j be (-12)\/16 - (11\/(-4) + 3). Let v = 2 + j. Sort u, v, 7 in descending order.\nAnswer: 7, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22142106 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5089 = -3*c, 3*n + 11*c = 15*c - 3798. Is -1270 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 21107*o + 10*o**2 - 21098*o + 0 to g + m*o**2 + n*o and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2074 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f**4 + 0 - 1\/4*f**3 + 0*f**2 + 1\/8*f**5 + 1\/8*f.\nAnswer: f*(f - 1)**2*(f + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42249 (base 11) in base 9?\nAnswer: -103346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 102*s**2\/11 - 2094152*s - 1806720\/11 = 0.\nAnswer: -4\/51, 225840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10258227*c**4*d**2 - 2*c*d**3 - 13*d**3 + 24*d**2 + 2*d + 1370 wrt c?\nAnswer: -41032908*c**3*d**2 - 2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert -689 (base 11) to base 2.\nAnswer: -1100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-1972))\/((-2)\/4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r + 339*r - 192*r + 473*r as f*r + t and give f.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76086\/19 - 1349257\/380. Let a = 454 - t. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 48 = a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*((-1*sqrt(77) - sqrt(77)) + sqrt(77)) - sqrt(77) - sqrt(77)) + sqrt(77) + -2*sqrt(77)*-4 + sqrt(77))\/(sqrt(99)*-2*6 + sqrt(99)))**2.\nAnswer: 28\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.681 - -941.319. Let z = w - 950.2. Round z to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 + 4*h - 6. Let z be w(2). Solve -l = 3*q - 10, q - z*q - 3*l = -14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34460393*i**4 + i**2 + 114787183*i.\nAnswer: -827049432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -25442*l. Let z(f) = 9*f**2 + 2*f. Give z(p(u)).\nAnswer: 5825658276*u**2 - 50884*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/21699 and -97\/19288.\nAnswer: 173592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/1 - (0 - 6). Let w be (z\/5)\/((-30)\/75). Is 19 a factor of (36\/14)\/(w\/(-126))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -434*g**3 - g + 1381 wrt g?\nAnswer: -1302*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 84 = -4*g. Let u(j) = -2*j**2 + 28*j + 2. Let a be u(g). Solve -a*s - 3*s = -o, 3*o = -5*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine quarters of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1694))\/sqrt(2)*-1.\nAnswer: 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 - 55 = 34*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1*(-24)\/(-36). Suppose 4*o - 2*z = 26, -2*o = 4*z - a - 6. Suppose -216 - 6 = -o*u. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*l + 23 = -0*l, -5*s + 2*l = 17. Are s and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 9*k + 6717. Let z = k - 15703\/7. What is the common denominator of z and -53\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 - 74*t**4 - 390*t**3 - 400*t**2 + 389*t + 474 = 0 for t.\nAnswer: -3, -2, -1, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0*o + 40*o**2 + 32*o**2 - 6*o + 1 + 5*o. Let m be z(1). Let x = 112 - m. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/11 (b) 111 (c) 2\/7 (d) 2\/369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50a + -9?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/11)\/n*n**6)\/(n*n\/(n*n**30\/n)*n**(-1\/33)\/n*n))**(-39) assuming n is positive.\nAnswer: n**(-14755\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - -2*sqrt(99) - sqrt(99))\/sqrt(9) - sqrt(33)\/sqrt(3)*-3) + 5.\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1017 = 6*d + i, 3*d - 5*i = 599. Suppose 3*v - d = 5*f, -3*v + 0*v + 175 = 2*f. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/(-19)*1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = j + f - 1, 5*f = 5. Let n = 6 + j. Find the second derivative of a**3 + 5*a**3 - n*a**3 + a wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:26 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848164308.\nAnswer: 2, 11, 31, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181.4*-0.1.\nAnswer: 18.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 76. Let j(s) = -14*s - 13. What is the remainder when j(n) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Which is the nearest to 1.8? (a) -0.2 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, 2963, 5980, 8973, 11948?\nAnswer: 14911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 4, -1\/35.\nAnswer: -1\/35, 0.3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 7:05 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 10*x**2 + 5*x - 52. Let m be a(10). Is m != -0.595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 1353514231?\nAnswer: -1353514222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(90)\/(sqrt(12)\/sqrt(4)))\/(-5*sqrt(90))*5.\nAnswer: -sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(9\/5)\/t*t)\/t*t)**(-2\/7)\/(t\/t**(-2))**(-2\/31) assuming t is positive.\nAnswer: t**(-94\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/(-10)*(-2)\/1. Let w be (-2)\/7 - (-2)\/b. Is -1 + 11 + w\/(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 453*q*s**2*x + 2*q*s - 3484*s**2 + 28*x with respect to x.\nAnswer: 453*q*s**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + z - 2. Let t be d(1). Suppose -r + 2*o + t = -0, 5*r - 3*o = 17. Suppose r*p - 1005 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/8623 or 1?\nAnswer: 5\/8623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5 - 1. Suppose 0 = -2*r + 4*r + p, -5*r - 33 = 2*o. Let v = -7 - o. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 17*f - 12. Let v(b) = -17*b - 11. Let i(q) = -6*v(q) + 5*w(q). Suppose i(r) = 0. Calculate r.\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383.1 + -1.1. Which is the closest to 1? (a) w (b) 2 (c) -1\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*y + 75*y - 14 + 5 in the form k + q*y and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2 + 10*j = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 10. Let q(g) = g - 3 + 28 - 9 - 1 - 24. Give z(q(l)).\nAnswer: 3*l**2 - 54*l + 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*r + 733*r - 5*t + 10 = 0, -4*t + 4 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 1:11 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*x - 0. Factor 5 - 3 + 2*r + x - 6*r**2 - 10*r.\nAnswer: -2*(r + 2)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 3. Let z(m) = 7*m - 7. Let t(q) = -9*j(q) - 4*z(q). Let c(a) = 5*a - 3. Calculate -c(d) - 4*t(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 930972925*b**2*r + 449*b*r + 644*b + 23*r - 11 wrt b.\nAnswer: 1861945850*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*i + 30, -40 = -0*i - 3*i - 5*z. Suppose -i = -5*h + 15. Suppose 87 = 4*f + 5*r + 16, 2*f + h*r - 40 = 0. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmq when three letters picked without replacement from {d: 1, z: 1, r: 1, q: 1, m: 6, y: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 34. Which is the nearest to d? (a) 1 (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 - k + 4. Let l = 7 + -7. Let a be b(l). Solve -22 = 4*r + o, 2 = 5*r - a*o + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12943, -26007, -39071?\nAnswer: -52135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 3, j: 4, b: 3, c: 3}. Give prob of picking 1 a, 1 j, and 1 b.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125741126 is divided by 62870563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -29, -95, -201, -353, -557, -819, -1145?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 2*g + 21. What is b(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2 - (56 + 142\/(-8) + (-78)\/(-104)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 + (50\/40)\/(((-3)\/(-12))\/(-1)) is divided by 105?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120110?\nAnswer: 2, 5, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15849192 - -0.03.\nAnswer: -0.12849192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/1638343, -0.5, -4, -0.06, 0.5, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 29*s - 68. Let w be v(-19). Let p = -120 + w. Solve p*i + 10 = 0, -28 = -l - i + 6*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 4*i**2 - 10*i - 15. Let v(w) = -84*w - 3450. Let j be v(-41). What is o(j)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (-4 - 13) - 11) + 31\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - n - 6*n**2 + 4*n**2 - n**4 - 8*n**2 + (n**3 - 3*n + 3*n)*(8*n**2 - 4*n**2 - n**2) - 2*n**5 + 2*n**3 - 2*n**3.\nAnswer: 3*n**5 - n**4 - 10*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(2\/4*(-17 + 8))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyyyyyayy. Give prob of sequence yay.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let f be (240\/(-126) + 2)*(-54)\/36 - 0. Let u = 2242\/7 + -321. Which is the biggest value? (a) u (b) 5 (c) -0.4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0*m**5 + 0*m**6 - 68\/21*m**7 + 5*m + 0*m**2 + 0 + 1\/6*m**4 - 89\/3*m**3. What is the second derivative of z(x) wrt x?\nAnswer: -2720*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/2)\/(d\/d**(1\/2))*(d**(-1))**(1\/13) assuming d is positive.\nAnswer: d**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 16*h - 35. What is the remainder when 53 is divided by p(9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 525119205 and 66?\nAnswer: 525119139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y - 8*y - 9*y - y + 3*y**2 - 2 to the form d + u*y + z*y**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100000 - -100011?\nAnswer: -111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -75*j. Let h(d) = 9971*d**2 - 4779*d + 531. Let q(m) = -75*m**2 + 36*m - 4. Let p(i) = -4*h(i) - 531*q(i). Calculate x(p(a)).\nAnswer: 4425*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-494)\/(-14) + 8\/(-28). Suppose -20*d + 13*d = -s. Solve -15 = -3*n, 3*o - o + n = -d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -176*m + 177*m. Factor 7*k**4 - 20*k**4 + 15*k**3 + 9*k**3 - 15 + m*k**4 - 54*k**2 + 4*k**4 + 48*k.\nAnswer: -3*(k - 5)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z. Let b(p) = 283*p. Give d(b(i)).\nAnswer: 3396*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*s - 333*s - 60 = 0. Solve 3*d + 14 = 6*g + s, 5*g = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -16*d + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*d + 70, 0 = -w + 2*d - 24 + 59. Suppose 2*h + y - 11 = -2*y, -2*h + 5*y = -w. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let w(p) = 55*p + 4426836. What is x(w(o))?\nAnswer: 55*o + 4426836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46\/245, 0.5, -5?\nAnswer: 46\/245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3483980702.\nAnswer: 2, 1741990351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w - 3. Let n be 2 + (2\/2 - 1). Let t be m(n). Suppose 0 = -0*r - t*r + 165. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/76 and -95\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -29.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0643478602 + 0.1?\nAnswer: 0.1643478602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 3803875?\nAnswer: 3803874.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 1. Let t(k) = k - 6. Suppose o - 13 = 10*h - 7*h, -3*o = -h + 9. Let v be (4 + -1)*6\/18. Give h*m(l) + v*t(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*m + 4 = 0, -2*x - 7 = 2*m + 1. Calculate the common denominator of 6\/(-4) + (-356)\/108*x and -83\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 8*m - 9. Let l be r(-6). Let c(y) be the third derivative of 3*y**4\/8 - y**3 - 95*y**2 + 2. What are the prime factors of c(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = -2*v + 106, 14 = -q + 4*v. Let t = 28 + q. Let o be -6 + 57\/9 - (-22)\/t. Solve o*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7516676 to three dps.\nAnswer: 1.752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -70976.7 to the nearest one hundred.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 - 7*v - 52*v + 4*v + 2*v**3 to the form d*v**3 + x*v + y*v**2 + u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023.28821 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -68242876 divided by 676?\nAnswer: -100951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 5:13 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 2. Let a be s(5). Let c = a + -9. Let x = c + 11. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-6)\/(648\/18)*1*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8782.\nAnswer: 2, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + y**2 - y**2 - 4*y**2 - 10*y + 10*y + (-4 + 2*y + 4)*(-1 - 2*y + 1) - 2*y + 3*y + 2*y + y**2.\nAnswer: -5*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1836 - -1836. Put -2, 2\/15, -1.36, d in decreasing order.\nAnswer: 2\/15, d, -1.36, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -82 (b) -3 (c) 180 (d) 263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 31 + 54)*(-3*v**3 - v + v).\nAnswer: -219*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 8 (c) -21027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*w - 4*a + 10, -3*w + 22 = -3246*a + 3245*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -950000*l. Let t be b(1). Round t to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 3*k**2 + 3*k. List the prime factors of t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 3. Let t be (-1 + 5)*(-54)\/h. Let c = 16 + t. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73.3 - -0.6\nAnswer: 73.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/156 + -33\/260. Let t = 16.89 + -129.99. Let x = 113 + t. What is the third biggest value in l, -5, x, 1\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-338))\/(18870\/(-81770))?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28247303\/1272 - 177601\/8. Let h = -11\/53 + j. Find the common denominator of h and 37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3721485 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 m, and 1 r when four letters picked without replacement from mgrtrwmgmwmmgmgtgm.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t + 12. Let g be -4*((-4)\/4 - 0). Let o be z(g). Suppose -5*s = -o - 128. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-34)*((-16)\/120)\/((-18)\/90)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940982?\nAnswer: 2, 7, 67213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 + 2*b**2 + 6*b + 8. Let f(u) = 11*u**3 + 9*u**2 + 26*u + 32. Determine -2*f(v) + 9*i(v).\nAnswer: 5*v**3 + 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3469.23931 to 1 decimal place.\nAnswer: 3469.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161931.\nAnswer: 3, 7, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1375100453 + -2?\nAnswer: -1375100455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + -1)\/(((-35)\/14810)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 1.6. What is the nearest to r in 0, -3, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135446 is divided by 5416?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 f when three letters picked without replacement from {k: 3, s: 3, x: 4, f: 4, o: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227452*a**2*x**3 - 4*a**2*x - a**2 - a*x**3 + 3*a*x - 26*x**3 + 11472*x**2 - x + 1 wrt x?\nAnswer: -1364712*a**2 - 6*a - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**4 - 2*y**3 - 7*y**2 + 2*y + 3281. Let k(z) = -2*z**4 + z**3 - 4*z**2 - z + 1. Let d(q) = 2*k(q) + o(q). Differentiate d(r) wrt r.\nAnswer: -56*r**3 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19332959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 0*z + 0*z + (3*z**3 + z**3 - 3*z**3)*(2*z**2 + z - z) - 3*z**5 - 134*z**5 - 86*z**5.\nAnswer: -219*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4 - 2*a**4 + 2106*a**2 - 41*a**5 - 1920*a**2 wrt a?\nAnswer: -2460*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-40))\/((-931)\/588). Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/13 + 633436*g\/13 - 5067360\/13 = 0.\nAnswer: 8, 316710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5850*g - 723*g - 4219*g = -2542*g + 8250 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 14. What is the least common multiple of i and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 93 = 4*o, 2*o - 39 = -3*c. Let h = 17 - 16. Suppose 0 = 2*y + h - o. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 885881 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*l**4 + 1555*l**3 - 3113*l**3 - l**2 + 2*l + 1558*l**3 + 2 as c + t*l**4 + k*l**3 + x*l**2 + i*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 143989493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6684462 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108) + -2)**2 - (sqrt(108)*-2 + 0) - ((-1*(sqrt(108) + 1*sqrt(108) + sqrt(108) - sqrt(108)))**2 + 1))*-2.\nAnswer: -120*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.4389732 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/8, -0.5, -2\/79, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3304*k + 1 + 1580*k - 1 - k**2 + 1582*k.\nAnswer: -k**2 - 142*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + -11f?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-22) - 104\/(-88). Let v be -2 + 1 + d - 2. Is 91\/1 + 0 + v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 93\/2*u**3 + 0*u - 1\/105*u**7 + 1 + 0*u**4 + 7\/24*u**6 - 62*u**2 + 0*u**5. Differentiate h(a) wrt a.\nAnswer: -8*a**3 + 105*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 14*v + 17. Let a be (3\/2)\/((-2)\/20). Let t be k(a). Let y be 1 + -8*(-1)\/t. Solve -g = -6*g - y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -614 - -961. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/11)*k\/k**4)\/(k**(1\/6))**(-41) assuming k is positive.\nAnswer: k**(277\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 8, 17, 40, 83, 152, 253?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*j**2 + 106*j**2 - 246*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.9 + 10. Let l = y + -1. Let n be 2 + -9 - 37*15\/(-75). Which is the closest to l? (a) 1 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 5*w**2 + 14*w + 29. Determine v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1784185*a**2 + 3*a - 548985 wrt a.\nAnswer: 3568370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 868, 869, 870, 871?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -28. Let l = o + 38. Factor -l*r**2 - 2*r**5 + 2*r**3 + 16*r**2.\nAnswer: -2*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 3*p**3 + 52432*p**4 - 52429*p**4 + 2*p**2 + 2*p**3 - 4 + 12*p to the form a*p**2 + t*p**4 + d + z*p + g*p**3 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149\/6 + -49\/2. Which is the nearest to 0.28? (a) 0.1 (b) f (c) -2\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t + 4*m, 4*t = 2*t + 4*m + 24. Calculate the highest common factor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:35 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.367 - -1.19. Let t = -0.077 - s. Let n be 2\/(-3) + (-2)\/(-12). What is the closest to n in 0, 1, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 288005772*j**2 - 288005772*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458, -1215, -2476, -4241?\nAnswer: -6510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*w - 86, 23 + 27 = 5*z + 5*w. Suppose -z*k - 153 = -23*k. What is the remainder when 116 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1542 + 986. Is 6\/6 + (0 - s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 10*l**2 - 9*l + 7. Let k be r(9). Suppose k*b - 365 = 2*b. Suppose -b = -6*m + 89. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1890*v**2 - 3786*v + 15. What is g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 53.1. Let l = j + 1.1. Which is greater: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:08 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1418960 divided by -70948.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614188291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 424473?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2598\/11 - 236. Let y = -345.09 - -349. Let g = 0.09 + y. Which is the second biggest value? (a) g (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 27*o**2 - 36*o**2 + 32*o**2 + 53*o**2. Let m(x) = -14*x. Give m(q(n)).\nAnswer: -1064*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1124 = 1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n - 64*n + 2*n**2 - 45*n.\nAnswer: 2*n**2 - 198*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2773 plus -6?\nAnswer: -2779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1427457 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/((-6)\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 22. Let a be x(9). Suppose 0 = -7*q + 22 + a. Calculate the lowest common multiple of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/18 + 2*h**3\/27 + 8*h**2\/9 - 8*h\/3 - 75. Factor u(y).\nAnswer: -2*(y - 2)**2*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1781 is divided by 1181.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*g + 3. Let b be 11 + g\/(3 + 1). Solve 2*i + 0*i = b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3698901679 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*p - 175 + 27, 0 = 5*t - 4*p - 342. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a733 (base 12) in base 2?\nAnswer: 1000110010010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 4*h. Let g(i) = -i**2 + 1. Let p(c) = -4*g(c) - w(c). Let z = -1 + -4. Let d be p(z). Sort -2, -5, d in decreasing order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 22. Let a = 4 - -5. Let u be l(a). Suppose 4*b + 5 = -u*y + 1, 3*y = 5*b + 5. Solve -4*r - 21 = -2*w - 3*w, y = -w + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/8)\/(1776\/(-37888))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 18*p**2 - 3*p + 2. Determine c(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 5. Let j be i(4). Solve -j*m = -3*v - 24, v - 6 - 2 = -3*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(-25) assuming n is positive.\nAnswer: n**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**2 + 3*a**2 - 2*a**2)*(-a + 2*a + 2*a).\nAnswer: 51*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a + 71. Calculate n(-9).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 1. Let f(d) = 3*d - 6. Let s(w) = 6*c(w) - f(w). Let p(l) = -l**2 - l. Let t(n) = -n**2 + 5*n. Let r(k) = 15*p(k) + 3*t(k). What is s(r(h))?\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-10)*y*y**(-3))\/(y**3)**7 assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166974845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -0.2 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = -3*k. Let r(z) = -z - 3. Let s be r(k). Suppose s*h = -h. Solve -5*g + 4*c - 12 = h, -6 = g - c - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.78285 grams?\nAnswer: 7782850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 4. Let j(u) = 6*u. Let c(p) = 18*p - 55*p + 43*p. Let g(f) = -4*c(f) + 3*j(f). What is h(g(k))?\nAnswer: 252*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.6. Let d = w - -0.8. Let r = -0.05 - 0.35. Which is the nearest to -0.2? (a) r (b) d (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1583213*h - 16180. Let n(u) = -2447*u - 25. Let z(y) = -5*j(y) + 3236*n(y). Let i(p) = 3*p. Give z(i(c)).\nAnswer: -7281*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + (2 - 3) + 8 + (27 - 36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a decade in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 + -64. Let z = t + -92.00335. Let h = z - -0.004. What is h rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-3)\/(-9)*8*1\/(-1148)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8606 (base 11) in base 4?\nAnswer: -2301310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -11*b + 6*b + 5, -9 = -2*b + i. Solve b*t = -4*r - 16, 3*r + t + 21 = 4*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y + 17. Let d(n) = 2 + 9 - 3 - 5 - 2*n. Suppose 4 = 3*j - z - 103, -112 = -3*j + 2*z. Calculate j*d(v) - 6*c(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 16. Suppose 2*r + 240 = -a*r. What is r rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*p - 97*p = -5184 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -2 + -1)\/(-1). Let o(v) = 2 - 3*v - a - 2*v**2 + 3*v**2 + v**2. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 + (2 - 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*j + 4*j - 3*j**2 - 13*j + 20 - j**2 = 0. Calculate j.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53557368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + -1)**2 + -3 + sqrt(51)\/sqrt(3) + -3 + ((sqrt(17) - (sqrt(51)\/sqrt(3) - sqrt(17))**2)*6 - sqrt(17)).\nAnswer: -96 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 0, 6, 30 in decreasing order.\nAnswer: 30, 6, 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 8. Let q be n(6). Let a = 11 + -19. Let m be 4\/a - 133\/q. What is the highest common divisor of 44 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7093*m**3*w**3 + 3*m**3*w**2 + 7*m**2*w**3 - 8*m**2*w**2 - 9*m*w**3 - 4 wrt m?\nAnswer: 42558*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1329*n = 1321*n - 56 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 10 + 5)*(-4*k**2 + 3*k**2 - k**2).\nAnswer: -2*k**3 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, -2\/7, -12\/83, 37\/49 in decreasing order.\nAnswer: 37\/49, 0.5, -12\/83, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 29*t**2. Let o(w) = -59*w + 2. What is z(o(d))?\nAnswer: 100949*d**2 - 6844*d + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31352.7 and 0.7?\nAnswer: 21946.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43876424 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 1, z: 11}. What is prob of sequence bzyz?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-69)\/(-115) - (-6)\/(-10))\/(-2). Solve -20*i + 25*i - 10 = l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 + -1 + 3. Let f = -61480 - -61481. Solve f - 5 = -o*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17849 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 29*n**2 + 4*n - 2. Let w(g) = 3*g. What is w(h(k))?\nAnswer: 87*k**2 + 12*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4745*b**4*r + 2*b**3*r + 970*r - 3 wrt b.\nAnswer: 18980*b**3*r + 6*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 3*n = 65205. Calculate the greatest common factor of n and 644.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/3*(2 - 3). Differentiate -5*i**2 - x + 9 + 5 + 1 wrt i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4*o - 106, 7*z - o + 468 = 813 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13664291 is divided by 1165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -78918800 rounded to the nearest one million?\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20628 less than or equal to 20577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -468, -1618, -3840, -7488?\n\"Answer: -59*k**3 - 5*k**2 - 4*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 72493*l + 362488. Give j(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-5))\/(7\/(-70)). Let m = 20 + v. Suppose 4*b - 5*w = 64 + 35, -m*b - 3*w = -139. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/17 + 15\/34. Sort a, -4, -15, -1\/4 in ascending order.\nAnswer: -15, -4, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -43) + -1909 + 1821.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/40*20*-2. What is the highest common divisor of 9216 and z?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26139 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 9:55 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 472585392 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257663 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, z: 2, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 2, r: 2}. Give prob of picking 2 r and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.081 * -0.381\nAnswer: -0.030861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1942728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680637524 + -91.7?\nAnswer: 3680637432.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 13*k + 13. Let a be o(-11). Suppose 0 = -2*f - 8, 0 = n + 3*n - f - a. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l**2 + 0 + 0. Let q(r) = 5*r + 114. Let y(d) = 18*d + 418. Let f(n) = -22*q(n) + 6*y(n). Give z(f(p)).\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202\/101*(1 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6110 by 5437.\nAnswer: -6110\/5437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/5 - h**2 - h\/5 + 1 = 0. Calculate h.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11251 - -0.2.\nAnswer: -11250.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36875685 by 7.\nAnswer: 5267955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.26839 litres in millilitres?\nAnswer: 32268.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -77448 (base 10) to base 2\nAnswer: -10010111010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zku when three letters picked without replacement from uuzuzuok.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5*p + 60 + 140)*(4*p - 6 + 6) to o + v*p + a*p**2 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 856\nAnswer: 19688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-3 - (-6 + 7))) + (11 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05064 + -0.00064. Put -5\/6, m, -4 in descending order.\nAnswer: m, -5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * -966.6.\nAnswer: -173.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 339770?\nAnswer: 1698850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1258, 1392, 1750, 2332?\n\"Answer: 112*m**2 - 202*m + 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*b + 3 - 4, 4*l = 8*b + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from wwxwwwwwwwxwxwwwww?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*d + 2*d + 11 = 0, -3*d - 15 = 3*o. Let n = -7 - o. Solve v - 2*u + n = -9, 2*u + 11 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 830 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114.3 - 19.3. Let s = 95.85 - o. Round s to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 20*a + 121. Calculate the lowest common multiple of 215 and r(-13).\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 63562680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0*s**4 + 2*s - 1\/84*s**7 + 0*s**3 + 1\/40*s**5 + 0 + 0*s**6 + 0*s**2. Find p, given that f(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380bb (base 14) in base 2?\nAnswer: -10100100110101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1 - 4 + 1 + 2 + (-4 + 4 - 1)*(2 - 4 + 0))*(249 + 62 + 70 - 24*h) to the form m + i*h and give m.\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6\/(-12) - 17\/(-2). Let q be 7 + 3\/(3\/(-2)). Let t = -241 - -241. Solve t = -k + q*k + p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 1664052.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -13*y - 290. Let t(g) = 5*g + 145. Determine -2*s(h) - 5*t(h).\nAnswer: h - 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:31 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -202*c**6\/3 - c**5\/5 + 779*c**3\/3 - c**2 - 13083. What is the third derivative of r(i) wrt i?\nAnswer: -24240*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136311501 - 17?\nAnswer: 136311473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2921*o = -16882*o + 349073 - 897736 - 1084774 for o.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3509*n - 4320*n + 265*n + 1183*n.\nAnswer: -6381*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2885940597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*b - 2. Let q(h) = h**3 + 5*h**2 + 5*h + 2. Let j be q(b). Let t be j\/(-5)*(-9 + 134). Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 - 14146?\nAnswer: -13766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 13. Let j be o(-14). Let s be (23\/(-70))\/j - (-8)\/(-20). Are s and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18324 + 33527. Suppose 0*d - d + 7612 = -4*h, h + v = 2*d. What is d rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 13 - 27. Is (-412064)\/y - 5\/((-125)\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, -2\/11, 3\/173, -0.2?\nAnswer: 3\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102.8 - -99.8. What is the smallest value in 3, k, -4\/5, -1\/16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 583117999 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 6*(-3)\/6. Suppose 20 = s*b - 16. Solve 3*y = -5*u, 0*u - b = -4*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12373589813 - -0.55.\nAnswer: 12373589813.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -0.9 (b) -0.39 (c) 1\/4 (d) -25\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -72, -28, 18, 66?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358 by 501.\nAnswer: -358\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 3*j - 3. Let s(n) = -n**2 + n - 1. Let y(c) = 3*s(c) - t(c). Let m(o) = 21*o. Determine y(m(g)).\nAnswer: -441*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/2520 - n**6\/144 - n**5\/60 - 11*n**4\/24 - 22*n**2. Let d(q) be the second derivative of a(q). What is d(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -0.2\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*z - 4*z. Let q = z - -26. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -27*b + 711. Let a be o(25). Is 38 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 3 = -9*b. Let s = -0.41 + 3.81. Let r = s - -0.6. Sort r, 0.2, b in decreasing order.\nAnswer: r, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*k + 26*k - 32*k to q*k + r and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 22 + 9 = 2*z, -4*z + 5*r - 13 = 0. Let s be 2 - (-6 - (z + -4)). Which is greater: s or 25\/3?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3404*c**5 - 4*c**4 - 2*c**2 + 283184*c wrt c?\nAnswer: 68080*c**3 - 48*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 - 173 = 9*l. Let g(i) = 6*i**2 + 2*i + 2. Let a be g(-1). Suppose -z = -4*z + 12. Put z, a, 3, l in increasing order.\nAnswer: l, 3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -277.8 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose 4*u + 12 = 0, -j + b*u + 21 + 14 = 0. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1220 and 976?\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9514, 38152, 86028, 153262, 239974, 346284?\nAnswer: 472312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-16)*(-12448)\/6. Let w = l + -31213\/60. Find the common denominator of w and -109\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299 - -453. Suppose -2*d + 2*s = -6*d + w, 190 = 5*d + 2*s. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 130. Let v(a) = 2*a**2 + 2*a - 1. Let g be v(-3). Suppose 2*r - g = q. Calculate the remainder when r is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 12, n: 3}. Give prob of sequence nii.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times 343921?\nAnswer: 79101.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -63. What is the remainder when 19 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + 3*u - 4*u)*(2 - 2 + 5) + 3*u - 6*u + 2*u)*(-2 - 5 + 3).\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(20\/(-4))\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76)*1 - sqrt(76))\/sqrt(4).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -1794 in ascending order.\nAnswer: -1794, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010709559 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21107 - -21066.9962. Let l = 40 + j. Round l to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/14 + (6 - (2 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Let f = -3 + 3.3. Let g = 14.01 + -14. Which is the smallest value? (a) f (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*6\/(-210)*7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:52 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = 2. Solve -o*x + 4*g + 16 = 0, -7 - 4 = -2*x + 5*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26226 - -1?\nAnswer: 26230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -98, -441, -3.\nAnswer: -441, -98, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-77.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/6)\/((-4)\/(-8)). Suppose -v*k + 10 = -k. Suppose k*t + 102 = 3*o + 4*t, 0 = 4*t. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 0 (b) -0.1 (c) -4226 (d) -5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**4\/4 - 18*s**2. Let a(l) = -7*l**2. Calculate y(a(r)).\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10317 = c - 60794. Let b be 4447008\/(-90) + 2\/10. Let g = b + c. Round g to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-817)\/(-38) - 3\/(-6). Suppose -q + j + 22 = 0, z = -4*q + 5*q - 3*j. What is the remainder when 43 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10}. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 195 = 6*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2. Let x = -66 + 77. Let z(s) = 11*s + x*s - 25*s. What is z(w(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 11*k + 37*k + 3*k as b*k + p and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -883*p + 25366. Give l(29).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 15. Which is bigger: 7 or h?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 2410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 292*b + 6145. Let a be f(-21). Factor -10\/3 - 2*r**4 + 34\/3*r**3 - 1\/3*r**5 + a*r - 56\/3*r**2.\nAnswer: -(r - 1)**4*(r + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -3223?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -10. Let d = i + -23. What is the second smallest value in d, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-17))\/(1905\/381)*-15.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 9220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, -53, -196, -393, -644, -949, -1308?\n\"Answer: -27*r**2 - 8*r + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 506357 divided by -14.\nAnswer: -506357\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 31. Let j(a) = 7*a**3 + 5*a**2 - 5*a. Let g(o) = o**3 + o**2 - o. Give n*g(i) - j(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -38 - 24) + (15 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -184, -178?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 - w + 7. What is s(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2383165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 2*r**5\/5 - 15*r**4\/2 - 32*r**3\/3 - 2888. Factor l(w).\nAnswer: 2*w**2*(w - 16)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*1)**2*4 + sqrt(45)\/sqrt(144) + 0.\nAnswer: sqrt(5)\/4 + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 186 + -192 - (12 - 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -18*r + 3. Let o be k(6). Let n = 9839\/2920 - -2\/365. Calculate the common denominator of (o\/6)\/((-16)\/4) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26269908 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 10:16 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -810275a + 1?\nAnswer: -8102759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 4532211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from zfffzfff.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23328378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*s + 3*s + 18, 3*x - 5*s = 33. Let j = 98 - 88. Suppose x*c = j*c. Solve -o - o = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(-4 + -2*sqrt(72) - (2 + sqrt(72) + 5)) + 0)**2.\nAnswer: 10800*sqrt(2) + 19800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4736, -9727, -14974, -20471, -26212?\n\"Answer: j**3 - 134*j**2 - 4596*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.32 - 2.32. Sort -1\/15, 5, -2, a.\nAnswer: -2, -1\/15, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**(-1\/21)*q*q\/((((q\/((((q*q\/(q*(q\/q**(-3))\/q))\/q)\/q)\/q))\/q)\/q)\/q*q)*q*q*q**(-5) assuming q is positive.\nAnswer: q**(-314\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 8*h**2 - 6*h + 22. Calculate g(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - -95 - (1 - -15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103673380 by 25918345.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjij. Give prob of picking 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25009 is divided by 522?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 + 148*o**4 + 4*o**3 - 148*o**2 = 0. Calculate o.\nAnswer: -1, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(-10) - (14 + 1595464\/(-145))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + q - 4*q + (3 - 3 + 4*q)*(-3 - 3 + 5))*(-698*q + 698*q - 287*q**2) as d*q**3 + m*q**2 + v*q + g and give d.\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**12*t)**(-5\/8) assuming t is positive.\nAnswer: t**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 2*k**3 - 6*k**3)*(5 + 11 - 74).\nAnswer: 464*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 16\/6) + (-27)\/((-10935)\/351).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.3 (c) -0.33 (d) 1\/3 (e) -0.04 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208506226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -23*o**2 - 128*o + 7. Let m(i) = -20*i**2 - 129*i + 6. What is -6*b(p) + 7*m(p)?\nAnswer: -2*p**2 - 135*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.7 and 0.24?\nAnswer: 1.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-1 - 4) + -1) - (-1 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*l = -132, -4*t + 11 = 5*l - 91. Suppose 0 = o + 2, 3*o = 4*x + 2*o - 354. Suppose -x = -5*a - t. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*k - 245 = 2*g, -2*k = g + 62. Calculate the smallest common multiple of 20 and ((-36)\/g)\/((-1)\/(-15)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -59120 = -59120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*v + 69 = 68, 2*g + 7 = 5*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 39\/42)*2324\/6640.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1560956\/21 + -74335. Find the common denominator of d and (1141\/30)\/7 + -2.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 74*m - 751. Let d be r(83). Let w = -3 + 2.8. Let q = 0.2 + w. Which is the third smallest value? (a) -6 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -1.9. Sort k, 1, 5 in increasing order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/(-5))\/(-12))\/(217\/62)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 61, -1, 920, 1, -4 in decreasing order.\nAnswer: 920, 61, 1, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -14. Suppose h*f = f + 7. Suppose 0*l + 4 = 2*l. Solve -o + f = -s, -o + 0*s + l*s + 11 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28697 at least 28697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011991 rounded to four decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.04065 times -2183\nAnswer: -88.73895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-1 + 14\/16). Let i be 6\/27 + (-46)\/(-36). Let z = -1.2898 - -0.7898. Which is the fourth smallest value? (a) 1 (b) i (c) z (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -83. Let s(k) = -2*k - 47 - 2*k + p + 0*k. Determine s(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + (((sqrt(396) + 1 - sqrt(396)) + sqrt(396) + sqrt(396) - sqrt(396))*-4 + sqrt(396) - sqrt(396))))**2 + -1.\nAnswer: 101375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 8*u - 1. Let w be x(9). Let l be 22*(3 - 20\/w). Calculate the highest common divisor of l and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/91 and 131\/70.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14 + 10 + 7 + 10 - 42 + k. Let p(t) = 4*t**3 + t**2 + 5*t - 7. What is 5*l(v) - p(v)?\nAnswer: -4*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 25753.\nAnswer: -7725.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1190, 4396, 5, -7.\nAnswer: -7, 5, 1190, 4396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -2, 17, -5, 4 in decreasing order.\nAnswer: 17, 4, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -151, 2 in increasing order.\nAnswer: -151, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1163 + 237?\nAnswer: -e2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -419\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2\/(-36)*-3). Let y = -3532 + 3516. Let n be 77\/b + y\/(-96). What is the highest common factor of n and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777\/2*z - 389 + 1\/2*z**2 = 0.\nAnswer: -778, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000669 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + sqrt(7) + -1)*-2.\nAnswer: -2*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 139\/((-4865)\/105) + 32\/10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1110, 2193, 3276?\nAnswer: 4359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*b - 71 - 10 = 0, 5*b - 20 = 0. Let i = -19 - w. Let 2*r**2 - 19 - 24 + 4*r**3 + r**4 + 57 - i*r - 17 = 0. What is r?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2339.7? (a) -24\/5 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)*p**(-1\/3)*(p**(-2\/5))**(-30)*p*p*p**(-2\/3)*p**(-1)*(p*p**(-2\/7))\/((p\/(p*p**(-4\/5)))\/p*p) assuming p is positive.\nAnswer: p**(277\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*n - 52, -4*g + 104 = -2*n - 0. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.32 + 761999.\nAnswer: 762032.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -14.\nAnswer: -14, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q + 6. Let f(h) = 48*h - 39. Let m(j) = 4*f(j) + 27*l(j). Determine m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2262 and 1131.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 7 - 22 - (-44 - -34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*o + 9 = 0. Differentiate 6*m**3 - 1 + m**3 + o*m**3 wrt m.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 - 4.7. What is the second biggest value in 1\/3, o, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from jggvvdjdsjsgg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*p = -1896 - 1828 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*w - 290, 0*f = 4*w - 2*f + 208. Let z = w + 75. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110538.99988 + -110525. Let p = 14 - 0. Let j = p - l. What is j rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7*m = 17, 67*n + 5*m = 64*n + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.72 + 0.08. Let c = r - 0.3. What is the third biggest value in c, -2\/9, 4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130081412*b - 288474689 wrt b?\nAnswer: 130081412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 8*x - 6. Suppose 5*v = 3*v - 14. Let n be i(v). Let j(z) = -8606 - 8606 + 17211 + 9*z. Calculate j(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9875?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b6a863 (base 13) to base 9.\nAnswer: 28184847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.6, 5, 2\/7, 4\/7 in descending order.\nAnswer: 5, 0.6, 4\/7, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6*y = -55. Let g = 62 + y. Let o(r) = -r**3 + 4*r**2 + 6*r + 6. What is the lowest common multiple of o(5) and g?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 123523?\nAnswer: 123516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from hhchchhihuchhcciih?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 6. Let h(a) = -3*a**3 + 29*a**2 + 51*a - 1. Let f(n) = -n**3 + 11*n**2 + 17*n. Let y(w) = -11*f(w) + 4*h(w). Let x be y(c). Is x >= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-l + l - l + (l - 3*l + 0*l)*(4 - 3 - 3) + (1 - 5 + 2)*(0*l - 2*l + 3*l) - 2*l + 4 - 4).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000389355647 to seven decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140 minus 902?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -129. Let d = -59.00000047 - q. What is d rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 13. Suppose 3*w + 6 = z. Calculate the highest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -2*i**2 + 1\/2*i**3 + 1\/4*i**4 + 2*i + 0. Give c(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 25*d + 94. What is l(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1701759\nAnswer: -850879.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 8830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10588290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (17 - 4) - -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7457408 and 576?\nAnswer: 67116672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let d(w) = w - 857. Calculate g(d(t)).\nAnswer: 2*t - 1714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12233030 (base 4) to base 6\nAnswer: 331432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -107603\/18509?\nAnswer: -107603\/18509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8044241 to 3 decimal places.\nAnswer: 5.804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -9. Suppose t - 3 = 2. Solve 3*b + t = -p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 50.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*k - 1294325 + 1251821 = 0 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (7 - (-6 + 22 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2758 (b) -3 (c) -4 (d) 2\/3 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (8 + 2 + -7)) + (-1 - -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356857 is divided by 382.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1858817 + -1858796.400025. Let i = y + -20.6. Round i to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12 - 4\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -129?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*k - 35*k + 70 + 645 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 41. Solve y*h - 3*h = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 55890375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1021 - 222543?\nAnswer: -221522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1350 and 221\/140700?\nAnswer: 1266300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9684019\/519 - 18659. What is the common denominator of 34\/11 and x?\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12028142 divided by -6014071\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2121*i**4 - 191*i - 9 wrt i?\nAnswer: -25452*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 290*w**2 + 2*w - 262*w**2 + 584*w**2)*(2*w - 3*w - w) as x*w + n + v*w**2 + j*w**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 19 - 25 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/5 + 6*t**2\/5 - 7*t\/5 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 27. Let c be (12\/9)\/((-6)\/g) - -4. Let o be 21*1*c\/9. Is o < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 + 56*i**2 - 11*i. Let l be b(11). Let r be (0 - l)\/(7\/((-63)\/18)). Solve -11 = -w + 2*k + 2*k, r = -2*k - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/556 and 81\/227218?\nAnswer: 63166604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/4)\/((-9)\/324). List the prime factors of 4\/6*x\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*c + 198*c + 380*c + 3085 - 1554 - 1535 as o*c + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.5 and -0.04?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 4\/(-1) - (-48)\/40)*2. Factor 1\/5*s - 2\/5 - 1\/5*s**3 + g*s**2.\nAnswer: -(s - 2)*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + j - 7. Let i(v) = -2*v**2 - v + 7. Determine -4*i(m) - 5*z(m).\nAnswer: -7*m**2 - m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2842 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10251*n**2 + 881*n - 410*n - 471*n + (3*n - n - 4*n)*(-2*n + 2 - 2).\nAnswer: 10255*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -68*g + 546 + 574 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11169699 + -6.2.\nAnswer: -11169705.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 1, q: 2, p: 1, n: 1, a: 8}. What is prob of picking 1 a and 1 l?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -117, 3, 2, -5, 5 in ascending order.\nAnswer: -117, -5, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 88 = 377. What is the remainder when z is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 13 - -8) + (-5 - 7 - 10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.113091 litres to millilitres.\nAnswer: 6113.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110 - 11111010110100001?\nAnswer: -11111011000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 599536*o + 4490158\/5*o**2 + 9\/5*o**4 - 2544*o**3 + 499849\/5.\nAnswer: (o - 707)**2*(3*o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**(1\/30)\/((m*m**(-1)\/m)\/m)**(2\/69) assuming m is positive.\nAnswer: m**(137\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32 and 13.115.\nAnswer: -18.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7024, -28086, -63198, -112366, -175596?\nAnswer: -252894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 2*o + 10. Let z be q(4). What is the nearest to -1\/2 in -16, z, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/2 + 1455*m**2 - 1411350*m + 456336500 = 0.\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26.41266 - -0.5\nAnswer: -25.91266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000100718 to six decimal places.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 10*b**2 - 18*b - 13. Let c be l(-11). Suppose 15*r - c = 11*r. Let u = 17 - 18. What is the smallest value in 1\/8, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 997715003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-30)*-5*16\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12066, -49785, -112630, -200601, -313698, -451921?\n\"Answer: -12563*h**2 - 30*h + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -5 + 21556\/(-36). Let g = k - -605. Suppose -2*i + i + 8 = 3*r, 0 = -3*i + 5*r - 4. What is the nearest to -1 in -2\/17, i, g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173393716.\nAnswer: 2, 43, 47, 89, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 30 + 5*d + 16 + 7 - 115 + 23.\nAnswer: 5*d - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 372935*p + 127 - 41.\nAnswer: -372935*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1961288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = 0, 5*t + 3*h = 5*h + 6. Solve 3*v = 5*s - 18, 2*v - 2*s - s + 11 = t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/360 - q**5\/20 - 11*q**4\/24 + q**3\/6 + 5*q**2. Let f(p) be the first derivative of x(p). Calculate f(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 679314315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(6\/7)\/r*r)**(-1\/7)*(r**(-2\/11)\/r)**(1\/36) assuming r is positive.\nAnswer: r**(-5785\/19404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 60*d - d**2 + 1 + 58*d to k*d + f*d**2 + z and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223802.797 rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 208.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from {a: 5, f: 15}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -56*q + 363. Let n be r(5). Suppose 22 + 18 = -2*v. Let u = n + v. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46\/(-6) + 3)*(-63)\/(-42). What is the hundreds digit of 3*((i - -11) + (-1496)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/4)\/(-3)*(-688)\/(-129). Solve w*a + 20 = 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 60400.\nAnswer: 60400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 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: Which is the fourth smallest value? (a) 1\/5 (b) -0.5 (c) 0.6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -3)\/(-1*15\/140). Does 19 divide 2*1569\/9 + v\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -199*g - 129. Let c be v(-6). Suppose 18*d = c - 11577. Round d to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8872176 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(325)*-3*-5))**2 + -3*sqrt(325)*-2 + (3 + sqrt(325) + -1*sqrt(325))**2.\nAnswer: 30*sqrt(13) + 1828134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 + -68)*(1 + 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387945409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2 + 2540 + 6*h**4 - 3*h**4 - 4*h**4 + 2*h**4 + 3938 - 58*h wrt h.\nAnswer: 4*h**3 + 2*h - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 11*u - 15. Let a be f(10). Let i = 5 + a. Suppose q - 115 - 804 = i. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1. Let r(t) = -t - 6. Let k(b) = -3*c(b) - r(b). Let f be k(-3). Suppose -4*d + 2*o + 0 = -14, 0 = -5*o - 15. Which is greater: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.99999956 - -29. What is l rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m**2 - 52*m - 79. Calculate k(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -42*v - 2. Let f(w) = -5*w. Determine z(f(o)).\nAnswer: 210*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o. Let k(g) = 13*g + 5. Let c(h) = -2. Let r(a) = -3*c(a) - k(a). Give r(w(y)).\nAnswer: 52*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, -1\/9, -1656, 4, 0.1.\nAnswer: -1656, -1\/9, 0.1, 0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 - 5*m**2\/2 - 7*m - 6. Let b be k(9). List the prime factors of (-5)\/5*b\/(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = q + 25, -5*k - 14 = -5*q - 89. Solve -j + 4 = 2*p, j + 5*p - k - 6 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/99 and 5\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d**2 + 4*d**3 + 8*d**2 - 3*d + 7*d**2. Let k = -8 - -6. Let o(v) = v**3. Determine k*o(q) + x(q).\nAnswer: 2*q**3 + q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218 and 20928?\nAnswer: 20928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - 0.12. Let d = 67\/5 + -489\/35. What is the nearest to j in -0.5, d, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10229800 and 18998200.\nAnswer: 132987400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13210*t + 4120. Let r be s(-88). What is r rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 7:26 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((-11753)\/(-2205) - (-14)\/(-49)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -85 + -1149?\nAnswer: -11ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.19241 + 0.19241. Let j = -107 - -533\/5. Which is the smallest value? (a) 0.3 (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6578162761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1 - 2 - 1 + 2*x. Let g be l(3). Suppose -g*u = -3*u. Which is smaller: u or 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -35*w + 20. Let o be d(-16). Suppose -4*r + 2*u = -792, -2*r + 2*u - 186 = -o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1660, -12, 3 in ascending order.\nAnswer: -1660, -12, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2\/15 (c) -0.05 (d) 12 (e) -15 (f) -0.4 (g) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -694*o**5 - 36*o**3 + 98*o**3 - 1172 - 62*o**3 - 30*o + 32*o wrt o.\nAnswer: -13880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1926 or -1121?\nAnswer: -1121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*q + 237 + 323 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 861956381*o**4 - 1010959570?\nAnswer: 3447825524*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b. Suppose 0 = 5*f + 9 - 4. Let c(h) = -12*h**3 - 3*h**2 - h + 1. Let j(m) = f*c(m) - 3*q(m). Is j(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38157)\/(-126) - 1\/(-6). Do u and 303 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*a + 23*a + 246 + 1094 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:56 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:04 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 599811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 23*z - 14. Let r be f(16). Let y = 661 - 342. Suppose -m = k - r, 3*k + 0*m - y = 2*m. List the prime factors of k.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/5 + 8155892*x\/5 + 8155894\/5 = 0.\nAnswer: -1, 4077947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -14335.5 to the nearest 100.\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256500778 + -256500815.99999856. Let a = 15 + -53. Let x = g - a. What is x rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 - -32. Suppose -8*a + d = 7. Calculate the lowest common multiple of a and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14*g - 11. Let l(w) = 13*w + 10. Calculate -4*l(x) - 3*y(x).\nAnswer: -10*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6834)\/5695)\/(152\/10)\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + 176. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {z: 2, r: 1, b: 2, o: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 3*f**2 + 0*f + 1\/24*f**4 + 0*f**3 + 0. Suppose 2*w - 7*w = -20. What is p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = o - 36 - 26, -5*o = 3*m - 284. Calculate the smallest common multiple of o and 16\/(-9 + 9 - (-4)\/2).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -f - 3*n, -n = -5*f - 4*n + 5. Factor 15*r**2 + f*r**2 - 16*r**2 - 2*r - r.\nAnswer: 3*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:11 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, -2\/11, 4, -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 13. Suppose -3*d - 3 = 5*y, y - 4*d = -4*y - s. Let j be (y\/(-56))\/((-9)\/6). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288) - -1*sqrt(288)) + sqrt(4)\/(sqrt(4)\/(sqrt(8)\/sqrt(4))) + 0.\nAnswer: 2 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukmcummcuccu. What is prob of picking 1 m, 1 c, and 1 k?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(-7)*a**(-2\/11)*(a\/a**(2\/15))\/a**(-11) assuming a is positive.\nAnswer: a**(1103\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5425595064.\nAnswer: 2, 3, 499, 151013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10472*t - m = 10473*t - 49, 5*t = -2*m + 236 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 11*f**2 + 10*f + 5. Suppose 5*x - 2*x = 30. Let n be m(x). Suppose -2*b = -n*b + 45. Solve -2*l - l - b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 67*y**4\/24 - y**3\/3 + 48*y**2. Let f(l) = 3*l + 1. Let d(z) = -10*f(z) + 2*k(z). Differentiate d(w) wrt w.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + u)*(4*u**2 + u**3 - 4*u**2) + (-5*u + 3*u + 0*u)*(38*u - 38*u + 39*u**3).\nAnswer: -80*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 - 1283 = -160*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179.9829 + -180. What is n rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j**2 + 5*j - 5. Let h(o) = 8*o**2 - 2*o + 2. Give 5*h(x) + 2*v(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-11 + 10 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-336)*(-6)\/(-45)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2, 0.1, -2\/7, 3\/10, 295.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - 0.34. Suppose -5*t + 3*g = -39 - 1, 4*t - g = 25. Let k be ((2\/(-3))\/(12\/18))\/t. Put d, k, 1 in ascending order.\nAnswer: d, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*i = -i + 4, 5*i - 23 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 0*b**2 + 2\/15*b**5 - 2\/9*b**3 + 0*b + 5 - 1\/6*b**4 + 1\/9*b**6. Let k(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l**2 + 10*l**2 + 15*l - 25 - 9*l**2. Calculate a(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Let u(a) = 1. Let y(z) = -d(z) + 2*u(z). Let f(q) = 1 - 4225*q + 4207*q - 1. Give y(f(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16077, -58509, -127295, -222435, -343929?\nAnswer: -491777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 - ((-39 - 19 - -50) + -3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110*21\/462)\/(-5)*2\/(-77)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f**3 - 14846*f**2 + 707*f - 22. Give n(-707).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -26, -49, -80, -119, -166?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzccfyyyjfy. Give prob of picking 1 c, 1 z, and 1 j.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25032 - 28376 = -11*w. What is the remainder when 5484 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 37. Suppose j = -3*q + 30, 3*j - 20 = 4*q + 44. Let a(m) = m + 24. Calculate the remainder when a(0) is divided by u(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-12)*o)\/o*o*o**(2\/49))\/(o\/(o\/o**0))**(8\/3) assuming o is positive.\nAnswer: o**(-537\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233 and 9320.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 8. Let k = 4 + w. Let p = k + 3.1. What is the second biggest value in 1\/3, p, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4838 is divided by 92?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqlqqlqlqqlqql. Give prob of picking 1 l and 2 q.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 12:46 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20697 + 20696.52954. Let f = -0.47 - l. What is f rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 23*h - f - 2 = 21, 4*h - 2*h + 22 = -2*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m. Let b(k) = -612*k**2. Determine o(b(y)).\nAnswer: -1224*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1 + 2*x - 4*x - 4. Let g be t(-2). Which is the smallest value? (a) -1 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313896 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**5 + 4*p**5 - 4*p**5 + (-3 + 0 + 1)*(-22*p + p**5 + 22*p) - 32*p**4 - 4*p**5 + 32*p**4)*(-11 - 2 - 6).\nAnswer: 95*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 - 20*v + 6. Let g = -330 + 186. Let b = -137 - g. Does 15 divide c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3. Let q(a) = 74*a**3 - 33 + 10*a**2 + 9*a**2 - a - 19*a**2. Let p(z) = -q(z) + 2*x(z). What is the first derivative of p(g) wrt g?\nAnswer: -228*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3489 - -0.6489. Let n = 0.6 - -2.4. What is the fourth smallest value in n, g, -2.3, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 5, 7.\nAnswer: -5, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241\/5 - 48. Let u = 43 + -8. Let f = -453\/13 + u. What is the biggest value in -0.2, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 37 = 3*y, -870*b = -878*b + 3*y + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**(-2\/9)*y))\/(y**(-2\/9)\/y))\/(y\/((y\/y**0)\/y*y))**(-1\/32) assuming y is positive.\nAnswer: y**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.69 + -0.11. Let f = d - -5.8. Let i = 1467 - 1463. Which is the biggest value? (a) f (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c**3 + 86*c**2 - 81*c - 64. Let u(o) = -3*o**3 + 21*o**2 - 20*o - 16. Let j(g) = 2*p(g) - 9*u(g). Calculate j(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*l + 2241, -4*d = 6*l - 4*l - 1494. Suppose -7*t + 4*t - l = -3*q, 2*t + 4*q = -498. What is t rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:32 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32070, 128270, 288604, 513072, 801674, 1154410, 1571280?\nAnswer: 2052284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t. Let o(c) = -15*c. Let b be (-6)\/(-12) + -1*27\/2. Let g(p) = b*u(p) + 6*o(p). Let z(a) = 3*a + 2*a**2 - 3*a. Calculate g(z(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffww when four letters picked without replacement from wfwwfcffffccc?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 288\/(-11) - (-12)\/66. Let z = d - -36. Calculate the remainder when (6*-1)\/((-1)\/3) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1550, 1553, 1564, 1589, 1634, 1705?\nAnswer: 1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 14*h**2 + 23*h - 16. Determine y(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 16) to base 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-3*5 + sqrt(44) + -4.\nAnswer: -13*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q + 8. Let j be t(0). Solve -5*a + j + 17 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.191 times -131?\nAnswer: 25.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11412?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1310\/9 + 272\/9*d + 2\/9*d**2.\nAnswer: 2*(d + 5)*(d + 131)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101111100001 (base 2) to base 11\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 34. Let z be 4\/(8\/22) + (v - -2). Find the third derivative of -3*x**4 - z*x**4 - 11*x**2 - 7*x**4 - 13*x**4 wrt x.\nAnswer: -816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03376 + -0.06624. Let y = -0.13 - -0.26. What is the closest to v in 2, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4133966 and 42862?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27109952 is divided by 197?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71.5 - -72. Sort 0.6, 2\/3, -3, y in decreasing order.\nAnswer: 2\/3, 0.6, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 10936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6 + 8 + (-88)\/33?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = 12*u - 371. Solve 2*l + b = 5, -4*l = -0*l - b - u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.799 and 0.2.\nAnswer: -0.1598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1)*r)**39)**13)**(-17) assuming r is positive.\nAnswer: r**(-25857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from ppstpraprpasrarr?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17932 + -197250\/11. What is the closest to -0.1507 in w, 0.3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 3*u**5 + u**4 - u**5 + (-2*u + 2 - 2)*(-235*u**4 - 116*u**4 - 824*u**4) + (1 - 1 + u)*(u - u - u**4).\nAnswer: 2346*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {b: 7, g: 3, t: 5, w: 4}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.229 and 733?\nAnswer: 167.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21765.31g to micrograms.\nAnswer: 21765310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -3\/2, 0.01, -8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*z - 8. Suppose 4*a + 2*v = 62, z*v - 47 = -a - 3*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4 + 31*o**3 - 56*o**2 - 16*o = 0.\nAnswer: -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35859178?\nAnswer: 2, 151, 118739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 13*j - 1. Let b be 0 - 1 - (-8 - 2). Let t be j\/(-4) + b\/4. Solve 0 = -2*f - 4, -k - 13 = t*k - f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6.9 (b) 7 (c) -2\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16623737 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxxfxwwxwffxxxw. Give prob of sequence ffxw.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.367889km in nanometers?\nAnswer: 5367889000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2050 and -229248.\nAnswer: -469958400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose 0 = 2*m - 5*j + 425, 3*m = i*j - 123 - 525. Is 1\/3 - m\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*c + 5*c + 4 = 0, -u + 5*c = 8. What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from qztzztttzz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 810636 at least as big as 810636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 + 148 - (17 + (4 - 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 1313*p**5\/60 + 25*p**4\/24 + 34*p**3\/3 + 4*p**2 - 215*p. Find the second derivative of r(u) wrt u.\nAnswer: 2626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 0.4, 1.4, 4, -0.325, -0.1, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21703.\nAnswer: 11, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7979a4 (base 11) to base 6.\nAnswer: -43113554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627275 is divided by 24064?\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-20) + 15\/4. Suppose f*y = y. Let p(c) = c**2 + c + 7. Let q be p(y). Calculate the highest common divisor of q and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3860216 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -108, -168, -232, -300?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 10. Let v(p) = 3*p**2 - 8*p. Give b(v(n)).\nAnswer: -15*n**2 + 40*n + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 549 - 48*x**2 - 549. Let j(q) = -26*q. Determine j(t(p)).\nAnswer: 1248*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6648, -569.\nAnswer: -569, -1, 6648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 981 + -949. Suppose 2*l + 3*l = 240. Calculate the highest common divisor of j and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25702, 51405, 77108, 102811, 128514, 154217?\n\"Answer: 25703*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3066590 and -71\/200.\nAnswer: 61331800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 4*m. Let q be h(-5). Suppose -k - k + 25 = -q*w, 0 = -3*k + 2*w + 32. What is the remainder when 17 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008*987.\nAnswer: -7.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 25 = -4*o + 4*t, 2*o - 22 = 4*t. Let s be (-7)\/(-42)*3*o*-6. Let f(i) = i**3 + 8*i**2 - 9*i + 20. Let k be f(s). Solve 7*j = 12*j + k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68905910 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Suppose -4*l - w*f = -2*f + 7, 5*l = -2*f. Solve 4 = l*k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280860 = 2*o - 4*r + 280846, -27*o + r + 71 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -55, -119, -209, -325, -467?\n\"Answer: -13*g**2 + g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 106 + 115. Calculate the remainder when 6 + -5 + (-2 - -6) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 7*s - 4. List the prime factors of y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2. Let q(g) = -7808652*g. Determine c(q(d)).\nAnswer: 121950092114208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 + 41773?\nAnswer: 41864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, 0, -1, -2\/7, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29889 is divided by 9956.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -762.404 rounded to 0 dps?\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 > -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1 + (-6)\/(-10)). Let r(t) = -t**3 + 95*t**2 + 6*t - 567. Let d be r(95). Let i be (6\/8)\/(3\/12). Solve u - i*z = 6 + d, -u = -z - m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-27)\/45)\/((-3)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*d - 24, 0*i + 3 = 2*i - 5*d. Let l(s) = i - s**2 - 9. Let b(r) = -2*r. Give b(l(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22836 + 22867. Let y be (-62)\/(-1)*7\/2. What is the greatest common divisor of y and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11452823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:35 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 55*p - 5*s + 3 = 0, 2*p + s - 15 = 0. What is the remainder when 337 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 1 - (1 - (0 - -1) - (-12 + 15)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/10 - 7\/(-2). Suppose -35 - 15 = g*y. Let n(a) = 2*a**3 + 2*a**2 + 2*a + 2. Let d be n(-2). Is d less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 46096, 321, 0.11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-2)*f*f)*f**(-3\/7)*((f**(3\/5)\/f)\/f)\/(f*(f**(2\/15)*f)\/f))**(-23\/3))**(25\/4) assuming f is positive.\nAnswer: f**(11615\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a9a64 (base 12) to base 15.\nAnswer: -825e81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2 - 22. Let p = 14 + -10. Let y = p - 4. Solve 2*g + k = -y*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*j = 4*j - 46, 5*c - 2*j - 115 = 0. Suppose c*m - 23115 = 20470. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 87532959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u + 5 - 29*u - 15 + 11.\nAnswer: -71*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2691 = i + 22*i. Let z = -117 - i. Solve -u + 9 = y, u = -z*u - 4*y + 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l**2 - 3*l**2 + 6*l**2)*(0*l - l - l) - 4*l**3 + 3*l**3 - l**3)*(-5*l - 4 + 3 + 4*l) + 11*l**4 - 24*l**2 + 24*l**2 + (1 - 2*l - 1)*(-3*l**3 + 4 - 4).\nAnswer: 27*l**4 + 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -853*m + 24984*m - 4379*m in the form r*m + o and give r.\nAnswer: 19752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (3 - 0) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 12:19 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.417 - 0.017. What is the nearest to -6 in -0.5, 1\/4, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -17. Let u = -10 - w. Suppose -12 = -0*k - 3*k. Solve 2*f = -2*l - k - 2, -4*l + 18 = -u*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-2) + -2 + 0. Let p be 5*(-92)\/20 - -23. Which is the nearest to p? (a) -1 (b) s (c) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-171)*((-99)\/11 - -162)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 7*x + 7*x + 2*x)*(2*x - 3*x - 2*x**2 + 3*x**2).\nAnswer: 3*x**4 - x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.03733 litres to millilitres.\nAnswer: 45037.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o - 112 = -4*q, 2*o = q - 30. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.9971 (c) -4 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 888271 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 v(z) be the first derivative of -z**3 - 4*z**2 - 6*z - 1. Let u(d) = 3*d**2 + 9*d + 7. Let o be (42\/12)\/((-6)\/(-12)). Determine o*v(b) + 6*u(b).\nAnswer: -3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -150, -153?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*1)\/(2*sqrt(245)).\nAnswer: 5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84 + 2*f + 121 + 10*f)*(6*f**3 - 6*f**3 + 10*f**3) to j + z*f + w*f**4 + d*f**2 + a*f**3 and give a.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/10*4\/3. Let z = -46 - -46. Let f = -1 - -1. Which is the closest to z? (a) v (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20618 - 20622. Sort 3, q, -5, -2\/179 in increasing order.\nAnswer: -5, q, -2\/179, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 3*v - 3*v)*(5*v - 5*v + v + v - 2*v - 2*v + (1 + 1 + 0)*(-v + v - v)).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -621*v**2 - 640*v**2 + 1792*v**2 - 584*v**2. Let o(j) = -28*j. Calculate o(h(m)).\nAnswer: 1484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ururirrur?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 15 - 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 273.77 to zero dps.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 21. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*d + 124*d - 1856 = 4*g, 3*d - 2329 = 5*g. What is the third biggest value in 3\/2, -2, 0.4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -13, -1, -5 in descending order.\nAnswer: 14, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34341053 (base 6) to base 5\nAnswer: 232231233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 take away 38367?\nAnswer: -38366.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12313 + -11?\nAnswer: -12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1249836 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16846 divided by 522?\nAnswer: -8423\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/20 - w**4\/3 - w**3\/3 + w**2 - 3*w. Let c be d(-3). Let b(f) = -7*f**3 - 2*f**2 - 2*f - 1. Give b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -600*b + 599*b, -b + 1 = 3*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -35*t + 2. Let w(m) = 71*m - 3. Let p(r) = 9*k(r) + 4*w(r). Let h be p(-10). Suppose 0*g + 4*g - h = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f + 84 = 94*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39377657 smaller than 39377640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/(1156\/(-232) + 5). Suppose 36*f = b*f + 1680. Does 40 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4 + 155*i**3 - 31485*i**2 + 680245*i + 711880 = 0.\nAnswer: -104, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:39 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*c - 11568 = 3342. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 0.3, 0.1, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*-3 - -1. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {n: 8, u: 9, c: 1, t: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 56485 + 152904 + 10*c**3.\nAnswer: 4*c**3 + 209389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.69658 rounded to zero decimal places?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 - -10.1. Let x = -12 + s. Let h = -0.74 - -1.74. What is the smallest value in h, 1\/5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 6. Let v = -23 + c. Let u be (v\/15)\/(-6)*5. Solve 2*n + 12 = -u*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 0 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 8*t - 240. Let u = 1984 + -1981. Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23896 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*o, 5*j - 4*o - 10 = 8. Let w be 22782\/39 - j\/39. What is the units digit of (w\/10)\/(15\/(-25) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18831929989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2700660.4 and -28740.57.\nAnswer: -2729400.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7883.07468 to the nearest 100.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/50*(-10)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 6*v - 1. Let w be i(5). Suppose d - 7 = -w*r + 6, 0 = -3*r + 3*d - 9. Let n be r\/(-1)*(1 - 0). Let q(m) = 4*m + 3. What is q(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17 - 1)*6\/12. What is the units digit of -3 - a\/(-4) - -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -1, -7, -17?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 15*b + 42. Let m be k(-12). Let a(r) = -r**3 + 6*r**2 + r - 2. Give a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6*i + 6*i - i**2 - 7 + i**3 to v*i + o*i**3 + s*i**2 + u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -21 + 10 + 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -14. Suppose -u + 3 = -k*c, 0*c - 9 = -3*u + 2*c. What is the highest common factor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f + 3. Let r be x(-5). Let s(a) = -a - 10. Let m be s(r). Let z be 1400001 - ((-6)\/3 - m). Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 3*y + 17 + 15 - 6 - 141 to the form w*y + a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -41 in increasing order.\nAnswer: -41, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 6:15 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.367236996 rounded to three decimal places?\nAnswer: -0.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71139 and 2885769?\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.21375 rounded to two dps?\nAnswer: 40.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1572 + 2313. Suppose -t - 171 = -6*a. Is a a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2890 + -147388\/51. Put -8, 2\/5, y in decreasing order.\nAnswer: 2\/5, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4120266 (base 7) to base 9\nAnswer: -830336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*v + 2*n, 4*v + 3*n - 25 = 3*v. Let a = 27 - -77. What is the highest common factor of a and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*p*t*y - 5*a**3*p*y + 10*a**2*p*y - 10*a*p*t*y + 2*a*t*y with respect to t.\nAnswer: a**3*p*y - 10*a*p*y + 2*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -37, -28, -19?\n\"Answer: 9*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 147359.\nAnswer: -442077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 5. Let n be k(-8). Suppose 0 = v - 1 - n. What is c in v*c**3 - 5 - 7*c - 4 + 7*c**2 + 2 + 5 = 0?\nAnswer: -1, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 13*x + 8. Let j be u(3). Sort j, 1, 5.\nAnswer: 1, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {o: 2, u: 3, n: 5, e: 1, a: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j. Suppose -4*w + j*w + 20 = 0. Let u(z) = 3*z**3 - 2*z**2 - 2*z - 2. Let g be u(2). Solve -w*t = -3*t + g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25 + (-14 - -33) + -8. Solve -120 = 21*q - d*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**5\/12 - 5*a**4\/8 - 25*a**3\/3 - 151*a**2\/2 - 33*a + 4. Let n(u) be the first derivative of p(u). Factor n(x).\nAnswer: 5*(x - 5)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2087 and 31981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 9)*1\/(-6). Let g = 29 + -29.61. Let t = 0.91 + g. Which is the second smallest value? (a) f (b) -1\/28 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 605872 and 84784213.\nAnswer: 1356547408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-3 - 22) - 2. Let c = -14 + r. Calculate the least common multiple of c and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 v when four letters picked without replacement from fcffttsctvvvfftt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 2 i when four letters picked without replacement from {i: 2, s: 1, u: 6, v: 3, h: 2}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*g + 4*g. Let s = g + 26. Solve -s*m = m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 5*j**4 - 3*j**4 + (-3*j + 3*j - 2*j**4)*(3 - 5 + 1) + j - 2*j**4 - j.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**6)\/((j*j*j\/(j*j\/j**13*j)*j)\/j))**(-2\/183)*((j**(3\/2))**(-1\/47))**31 assuming j is positive.\nAnswer: j**(-4545\/5734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 615 + -614.97994. Let c = 0.02 - r. Round c to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**4 + 31*n - 14*n**3 - n + 25*n**2 - 10*n**4 - 21*n**3 + 3*n**5 + 2*n**5.\nAnswer: 5*n*(n - 6)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18966?\nAnswer: 2, 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92130 and 2806230?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40071007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -1\/6*q**3 - 48*q**2 + 0*q**4 + q + 1 + 59\/10*q**5. Differentiate p(o) with respect to o.\nAnswer: 354*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 - 3*w + 1. Let z(m) = 4*m**2 + 2*m - 1. Calculate -2*b(i) - 3*z(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 53*q**2 - 5 + 8 in the form s + i*q**2 + f*q and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.14, -1\/2, 10\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 + 1.1. Let v = 4.3 + -2.3. Which is the second smallest value? (a) d (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 16 = -4*r, 17 = 4*c + 3*r. Suppose -4*h - 4 = -c*l + 4, -12 = -3*l - 5*h. Suppose -l + 0 = -m. Solve m*j - 7 = 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + 4*y = -97, -3*y + 462 = 5*s. Calculate the remainder when 219 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41835 = -4*o + d, -16*d = -3*o - 12*d + 31360. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.86+-0.4\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -555, -329, -9, -0.1, 3, -6 in decreasing order.\nAnswer: 3, -0.1, -6, -9, -329, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d + 2. Let u be w(-9). Let c be 10\/(-45) + u\/9. Let p(x) = -x**2 - 4*x. Let h be p(-3). Solve k + 5*n = 3*k + h, 2*k = -3*n + c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 2*d + 7. Let c be q(-3). Let k = -11 + c. Let f(x) = -x - 4. Determine f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197388.\nAnswer: 2, 467, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-21)*(-20232)\/5620.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13)*4*-2)**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2228 - -2233. Let i be 2 + (-1 - 1*-1). Put -5, m, i in descending order.\nAnswer: m, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 4*m + 858. Let k be x(27). Solve 7 - 7 = -k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -123, -248, -373, -498, -623, -748?\n\"Answer: -125*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.229 - -0.26. Let v = 10.44 - 11.389. Let d = v - y. Round d to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d + 5. What is the tens digit of 50\/1 + d + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 1750. Round q to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -31*h + 7*h. Suppose 4*g + 12 = g. Sort 2, g, 5, h in decreasing order.\nAnswer: 5, h, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/7)*s)**(-45)\/(s**(-3\/4)*s)**(2\/13) assuming s is positive.\nAnswer: s**(-4687\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*n + 680*n = -750*n + 84*n - 105280 for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (3 - 1)\/(-2)*-7. Let g(s) = 6*s**2 - 6*s + 2. Let n(h) = 5*h**2 - 6*h + 3. Let c(q) = -4*g(q) + 5*n(q). What are the prime factors of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/100*2)\/(3\/(-20)). Solve -7*w + d*w - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 3 (c) 0.5 (d) -1\/7 (e) 0.247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 109. Solve 5*z + 42 = g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-409*i**3 - 3260*i**3 - 7408*i**3)*(1 + 4 - 4).\nAnswer: -11077*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 38 = s, 3*s + 2*l = -s + 170. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cserreqerrerqerqqqs. Give prob of sequence se.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) 1\/6 (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) 2 (b) 4 (c) 0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**7\/21 + h**6\/18 + 5*h**3\/3 + 39*h**2. Let z(g) be the first derivative of p(g). Find the third derivative of z(o) wrt o.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (791 - 904 + 1251*m**2 + 113)*(-4 + 4 - 4*m**2) as z*m**2 + o*m**4 + k*m**3 + j + g*m and give o.\nAnswer: -5004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1875849 - 1875933.87418. Let f = m + 95.8748. Let b = f - 11. Round b to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1365835 and 0.2?\nAnswer: -273167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -aa7 (base 15) to base 4\nAnswer: -211213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 137 - 107 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2084922 and 5361228.\nAnswer: 37528596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-3)*9\/6. Let r(s) = -s**2 - 12*s - 9. Suppose k + 36 = -i - 4*k, 0 = -i - k - 16. Let o be r(i). Solve 10 = -z*j - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a - 55 = 0. Let z = 16 - a. Let b = -2 + z. Solve -2*g = -4*f - 8, -g - 2*f - b*f = 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**3 - t**2 + 16*t - 5. Let g(r) = 7*r**3 + 3*r**2 - 31*r + 9. Let x(c) = 5*b(c) + 3*g(c). Is x(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 3:13 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26701, -53387, -80073, -106759, -133445?\nAnswer: -160131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 105505545929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 338\/(-40) - 368\/460 and 23\/488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 6*q - 1. Determine p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4, 20 - 4 = y + 4*n. Suppose 0 = -l - y*l + 17. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20326 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 - -723*1370\/210 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-8 - (0 + (-5 - -2))) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/11, -4, -7.8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4760 and 24990?\nAnswer: 99960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/148 and -29\/822880.\nAnswer: 822880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dydtdrdyttdtdy. What is prob of sequence dr?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + z - 20 = 0, -3*s - 4*z + 39 = 10. Let d = 30 + s. Determine u, given that 19*u**2 + 3*u**3 - 4*u**2 + d*u + 15 + 6*u**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1335 - 60*j**3 + 1335)*(-2*j - 1 + 1)*(4 - 2 + 0) - 225*j**4 + 5*j**3 - 231*j**4 + 460*j**4.\nAnswer: 244*j**4 + 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511033309.5974 - -4.\nAnswer: -511033305.5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 24 = -2*u. Let q be ((-2)\/4)\/((-1)\/6). Solve -n + 4 = -q*m, -5*n = m - 4*n + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, k: 12}. Give prob of picking 2 k and 2 x.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*l + 3*l - 4*l)*(-4640 - 4394 + 8152)*(-2 + 2 - 2*l).\nAnswer: 1764*l**2 - 3528*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.5301 millennia in months?\nAnswer: 7278361.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3645) + sqrt(3645)*3) - sqrt(3645))\/(sqrt(54)\/sqrt(6)*2*-2)*-5.\nAnswer: 855*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + (22 - (42 - 2)) - 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-14)*1*(-5 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 31*k**3 - 5*k**2 + 8*k + 1. Let f be l(2). Calculate the highest common divisor of 280 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 5)*(78*m**3 + 190*m**2 - 190*m**2)*((-m + 0*m + 3*m)*(-6*m + 4*m + 4*m) + (m - 4*m + 0*m)*(-3*m + 0 + 0)).\nAnswer: 6084*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 4:23 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + u + u + 43, 5*u = -2*w - 13. Let r(y) = 9*y. Let n(k) = 2*k**2 + 25*k - 11. Let s(z) = n(z) - 2*r(z). List the prime factors of s(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120430094*u**3 + 3373*u**2 - 4155*u wrt u.\nAnswer: 722580564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 23*a = 72. Let u = -34 - a. Solve -u*x + 7 = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2733150 by 78090.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - 6*q - 21. Let t be h(-6). Let x = t + 186. Which is greater: 18 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/901, 4, -56, 6 in descending order.\nAnswer: 6, 4, 2\/901, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2691 and 1534?\nAnswer: 317538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453186871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 927043.2 nanograms in milligrams?\nAnswer: 0.9270432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 p when four letters picked without replacement from iitpptiiptip?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5544 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/6)\/((-49560)\/(-254880))?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 10:14 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 940 (base 13) to base 14.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 328, 658, 988?\n\"Answer: 330*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.092 and -662.3872759.\nAnswer: -662.4792759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**8\/26880 - a**7\/3360 + a**6\/960 - a**5\/15 - a**2. Let w(b) be the third derivative of c(b). Factor w(g).\nAnswer: 3*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1277)\/(-8) + ((-1368)\/(-64) - 21). What is the greatest common factor of m and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14443069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -14741.\nAnswer: -1326.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*w**2 + 36*w**2 + 1 - 74*w**2 to the form i + c*w**2 + q*w and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, 60, -2\/7, -1\/2, -4\/41?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3 = q, 49*q - 48*q - 9 = 2*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -15, -5, 2, -1365 in descending order.\nAnswer: 4, 2, -1, -5, -15, -1365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0 + 5 + 11 - 7 + c. Let n be j(-9). Suppose n*l - 7*l + 735 = 0. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4799 + -4798.9988804. What is z rounded to five decimal places?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -141, -185?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39694792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*g = 253*g + 453*g + 67760 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7313.1, -5, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2885\/2478 - -1\/413. Let l = -3.27 + 4.27. Which is the nearest to x? (a) 4 (b) l (c) -1\/6 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 6*b + 2. Let t be j(6). Let h(x) = -6*x**2 + x**t + x**2 - 4*x**2. Let u(y) = -6*y**2 + 11*y**2 - 3*y**2. Calculate u(h(l)).\nAnswer: 128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (9\/(-24) - (-14485)\/1400)\/(-1)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/3 + 1714*a\/3 + 1712\/3 = 0 for a.\nAnswer: -856, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0 - 7\/6*g**3 + 0*g - 1\/60*g**5 + 5\/12*g**4 - 2*g**2. Let b be j(9). Solve 0 = 3*d - b*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {d: 4, t: 10, i: 5}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21728314 and 0.\nAnswer: -21728314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -2, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, 9, -6, 5, 0 in decreasing order.\nAnswer: 9, 5, 0, -4, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 11*x. Solve 3*g - 2*p - 4 + 13 = 0, x = 4*g - p + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700000 rounded to the nearest ten thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**3\/2 + 2*g**2 + 8*g. Find the first derivative of v(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*l + 616*l - 29*l**3 - 124*l**3.\nAnswer: -153*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4615 + -3826. Is 0 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2178 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/(-6) + 4\/6. Suppose -16 - p = -4*x. Let h = -5 + x. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -40, -3, 4.\nAnswer: -40, -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 + 155. What is the remainder when 89 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/8, -4, -2310?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66899, -66909, -66917, -66923, -66927?\n\"Answer: r**2 - 13*r - 66887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + 132140\/90 + (-2)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*s - 10, -5*l = -0*l - 4*s - 25. Suppose q = l*q - 328. Suppose 0 = -2*g - 7*o + 4*o + 173, 3*o + q = g. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u - 3. Let o(y) = -y. Let s(n) = 2*o(n) + v(n). Let t(i) = -3 + 13 - 4 - 7. Let q(m) = s(m) - 3*t(m). Let r(b) = -2*b**2. Calculate r(q(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 23 = -4*i, 4*i = -4*x + 5*x + 17. Suppose 0 = 2*p + 5*f - f - 36, i*p = -4*f + 60. Solve 0 = 3*t - 14 + p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1627 + -4?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 356\/5 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = z - 22103, -6*z = b - 7*z - 22097. What is b rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let i(l) be the first derivative of 6*l - 933. Suppose -3*q + 4*v + 13 + 9 = 0, -6 = 5*q + 4*v. Give q*p(n) + i(n).\nAnswer: -2*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*d - 18. Let x(s) be the first derivative of d*s + 20*s**3 + 3*s**6 + 23*s**4 + 9*s**2 + 1 + 66\/5*s**5. Factor x(a).\nAnswer: 2*(a + 1)**3*(3*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13965 != 15110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 8\/13, 2\/5 in decreasing order.\nAnswer: 8\/13, 2\/5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197456084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.21 + 4.27. Let l = 0.66 - c. Let r = -7.6 + l. What is the third biggest value in 0.08, r, 2\/7, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 16. What is b(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**3\/6 + 23*p. Determine j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147916 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j - 2. Let c(n) = -45*n + 9. Let a(h) = 2 - 2*h - 7*h + 3*h - 5*h. Let u(v) = j*c(v) - 9*a(v). Let g(i) = 2*i**2. Calculate g(u(d)).\nAnswer: 162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3886, -3902, -3920, -3940, -3962?\n\"Answer: -v**2 - 13*v - 3872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) 4652 (b) -0.3 (c) -5\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - -23. Let s be ((-10)\/6)\/(((-9)\/3)\/z). Solve i = 6*i + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 7*m**4\/24 + 61*m**2. Let r(f) be the second derivative of 0*f**2 + 0 + 1\/3*f**4 + 0*f**3 - 2*f. What is j(r(d))?\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + 4.1. Let t = n - 1.62. Round t to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 2*o**4 + 0*o**4 - 64*o + 2*o**2 - 3*o**3 + 42*o + 2 to t*o + g*o**4 + x*o**3 + b*o**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 22 = -134. Let j = -31 - o. Suppose j*c - 7*c = 28. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p - 41. Let d be l(8). Is d > -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 218508.\nAnswer: -4\/54627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b + 0*b - 4*b)*(-4 + 5 + 1) + 0 + 0 - b)*((-4 + 4 - 2)*(0 + 0 - 1) - 88 - 196 + 201).\nAnswer: 405*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*z - 7. Suppose -z*y - 718 - 377 = 0. Let o = y - -308. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 51095 = -138171. Let n = l + -9707. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + 6. Let o be t(6). Let g = 37 + o. Let k(d) = -d**2 + 19*d + 27. Let n be k(g). Which is smaller: n or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 + 51206*q\/3 + 34137\/2.\nAnswer: (q + 1)*(q + 102411)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13747 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3223 (base 4) to base 11.\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -523*f. Let z(g) = -7*g. What is k(z(v))?\nAnswer: 3661*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 1. Let h(s) = 2*s - 1. What is 6*h(x) - 5*u(x)?\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0336 - 0.032271. What is y rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 + 9 - 37 + t - 43 wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5920 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 - 5 = 0. Suppose 103991 = -4*t + 3*p, a*t + 4*p = 5*t + 77988. What is t rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14*s**2 - 90*s - 266. Determine q(-8).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/14 - -3 - -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107768383 is divided by 1766.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2 + 2 + -5)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*246\/(-1025)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 6*q + 2. Let k be w(6). Suppose 44 - 2 = k*o. What is the remainder when 81 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -20. Let u be w\/(-4) + (-6)\/(-2). Is u bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*u - 3, 2*r + 29 = 7*u - 4. Let i(t) be the first derivative of -12*t + 15 - 1\/4*t**4 + 4*t**u - 5*t**2. Determine i(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 94, 80, 64, 46, 26?\n\"Answer: -g**2 - 9*g + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 17. Suppose 390*w - h = 392*w. Let x(q) = q**2 + 6*q - 3. Calculate x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3 + 397641*a**2 + 872865 wrt a?\nAnswer: -6*a**2 + 795282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 m when three letters picked without replacement from {z: 3, o: 1, l: 2, f: 2, v: 4, m: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2)*(d + 0 + 0)*(1 - 5 + 2 + (-2 + 3 + 1)*(-27 - 35 - 60) - 1 + 10 + 5) in the form a + m*d and give m.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 70224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q + 34*q - 14*q + 382*q**2 - 760*q**2 + 381*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 707 and 10504?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*137983.\nAnswer: 110386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:58 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**8\/5040 - v**6\/180 - v**5\/45 - v**4\/24 + v**3 + 6. Let y(b) be the third derivative of x(b). Find z such that y(z) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3916203351?\nAnswer: 3, 17, 76788301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(3\/7)\/z)*z\/(z*z\/z**(16\/9))*(z**7)**(2\/7))**(-15) assuming z is positive.\nAnswer: z**(-1370\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -237.516.\nAnswer: -241.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erabaegq. Give prob of sequence baga.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p + 1048. Calculate the remainder when 212 is divided by l(44).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4289425 is divided by 6308?\nAnswer: 6293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7511400 - -10?\nAnswer: 7511410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 - 2752\/11. Let u be (5 + -3)\/(1*-2). Let y = 10 - 10.4. What is the nearest to u in h, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/6*(-45)\/(-30). Let y(q) = 3*q**2 + 10*q + p*q**2 + 10*q - 17*q + 1. Let z(f) = -11*f**2 - 3*f + 10*f**2 + 2*f. Calculate -y(x) - 4*z(x).\nAnswer: -x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 + ((5 - 15) + -7 - -5) + (34 - 12)?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 1478641?\nAnswer: -1478640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-4)\/(-16)*-8. Which is the smallest value? (a) -0.13 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 0*f**3 + 15*f + 5*f**2 + 8*f**3 + 20 - 7*f**3. Let z be d(-3). Solve -4*j + 17 = g, -g = -0*g + j - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 2\/5*v**2 + 2\/5*v**5 - 2\/5*v**3 + 2\/5*v**4 + 0.\nAnswer: 2*v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433.2122*-0.025\nAnswer: -10.830305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 100901 = i, -1137*i = -1142*i - g + 504569. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229.835 - -2.285. Let h = 235.1226 - m. Let c = -3 + h. What is c rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132501*w**4 - 944*w**2 + 373322166*w wrt w.\nAnswer: 1590012*w**2 - 1888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 5)*(-1 + 0 - 1)*(36*d - 21*d - 19*d)*(d - d - d**2 + (-3 + 2*d**2 + 3)*(3 - 4 + 3) + 3*d**2 - 2*d**2 + d**2).\nAnswer: -280*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2103 + 2148. What is the smallest common multiple of 620 and m?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -9. Suppose 2*a + 2*a = -3*d + w, 4*a - 14 = -5*d. Suppose -t + 19 = -2*u + a, 5*u + 27 = 2*t. Calculate the lowest common multiple of t and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2806527, -5613056, -8419585?\nAnswer: -11226114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:59 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {l: 4, a: 4, e: 3, c: 1, u: 1, n: 5}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47b (base 12) to base 10.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**4\/8 - v**2. Let g be (-2 - 3)*2\/(-5). Let o(q) = -5*q + g + 3*q - 2. Give o(r(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -52213\nAnswer: 261065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209835298?\nAnswer: 2, 1279, 82031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72900641 to the nearest integer?\nAnswer: 8538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -8) + -1 + -1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 53 + 25. Suppose -5*j - k + 384 = 0, -5*j = 2*k - 482 + 94. Let o = j - v. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26 - -28)\/(0 + 8\/57604) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -39, -5152 in decreasing order.\nAnswer: 5, -7, -39, -5152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -113*m + 203. What is the tens digit of a(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502792350886+0.14\nAnswer: -502792350885.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-7)*33957\/(-3465).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3. Let f be q(0). Suppose -n = j + 4, -2*j - f*n + 4 = -4*n. Suppose j = 5*m - 5*c + 10, m + 7*c = 3*c + 13. Solve 4*p + m - 13 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 463833, 460901, 456013, 449169, 440369, 429613, 416901?\n\"Answer: -978*w**2 + 2*w + 464809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 12:14 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 483*a + 5169. Calculate u(-11).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2437 - -174?\nAnswer: 25ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g - 3*g - g)*(-3 + 6 - 1) + (-2 + 6 - 5 + (6 - 1 - 3)*(-1 - 3 + 6))*(-8 + 8 - 3*g))*(3*g + g - g)*(-2*g**2 - 2*g**2 + 3*g**2).\nAnswer: 39*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 5. Let l = -417\/1652 + 414\/413. Sort l, 0, 6, j.\nAnswer: j, 0, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 4, -5\/2, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19762155 and 47565?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 9?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -i - 4*r + 7, -5*r = -3*i - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 912 = -113*n, -2876 = -n + 2*l - 2880 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 - 25461. What is i rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t**2 - t + 9. Let r be h(7). Suppose r*j + j - 9 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*b*w**2 + b*w + 82*b - w**2 + 1695*w wrt b?\nAnswer: 13*w**2 + w + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675401 = -235*f + 192*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16279998 divided by -4?\nAnswer: -8139999\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2912?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - -369. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 754 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.5746 litres in millilitres?\nAnswer: 229574.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1030 + 1046 - (0 + 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5 + 33511*v**4 + 374239642*v**3 + 1391796007054*v**2 - 11155713123227*v + 9763542843019 = 0?\nAnswer: -11173, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 54*x + 2816 = -64*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**4 - 3*m**4 - m**4 + 4*m**4 + 0*m**4 - 6*m**4 + (-2*m + 2*m - m**4)*(-1 - 4 + 3) + 0*m**4 + 3*m**4 - m**4 - 8*m**3 + 8*m**3 - 9*m**4.\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32135802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 36818960?\nAnswer: 405008560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Suppose 0 = -p - d*f - 4, 2*p - 5*f - 17 = p. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*l - 84*l + 306*l - 16 - 1.\nAnswer: 353*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m - 16*m + 411 = -100 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5))\/((t\/(t**(-5\/2)*t))\/t)*(((t\/t**(3\/8))\/t)\/t)\/(t\/((t*t**5*t*t)\/t)) assuming t is positive.\nAnswer: t**(149\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y**3 + 1\/108*y**4 - y**2 + 68 + 0*y**5 + 0*y - 1\/540*y**6. Solve c(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3735 or -1?\nAnswer: 1\/3735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17421004?\nAnswer: 2, 211, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138061\/8004 + -2\/2001. Calculate the common denominator of -97\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -68 (c) 0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**2 + 6*o + 6. Is x(-9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 6 = -f. Let n(x) = x**3 + 10*x**2 - 12*x - 10. Let y be n(f). Put -2, y, 2 in increasing order.\nAnswer: -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 4*q + 1. Suppose 55 - 6 = -7*a. Let j(y) = -4*y**2 + 7*y + 2. What is a*f(u) + 4*j(u)?\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -13*s + 62. Let a(t) = 1 - 4 + 16*t - 2*t. What is the tens digit of a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/((-1)\/14). Let y(j) = 3*j - 12. Let h(z) = -4*z + 18. Let c(t) = i*y(t) - 5*h(t). Let q(v) = -2*v - 11. Calculate -7*c(w) + 4*q(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -20, -58, -120, -212?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 + 159 - 74)*(-2 - 2 + 2)*(-3*f + 3*f + 2*f)*(8 - 2 + 5) + 1 - f - 1 + (-1 + 2*f + 1)*(3 + 3 - 5).\nAnswer: 925*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 7*i + 47, -610 = -4*i - 3*m - 639 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22039318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*2)\/sqrt(11) + (sqrt(104) + sqrt(104) + (sqrt(104) - sqrt(104)*3*1))\/sqrt(8).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 0*h + 0*h - h**3 - 30*h + 3*h**2 - 4*h**3 + 32*h + h**3 + (3*h - h - 8*h)*(-h**2 + 0*h**2 - 2*h**2) to q*h**3 + f + w*h**2 + b*h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -90*r**2 + 6*r + 4. Let g(m) = 2*m**3 - 4*m + 3. Let b be g(2). Let v be o(b). Let w = -420 - v. What is w rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*i**3 - 3*i - 504*i**3 + 1695*i**3 - 683*i**3.\nAnswer: 3*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-11)\/((-11)\/(-2)). Suppose 2*v + 3*v = -o*z + 26, -5*v = 5*z - 35. Solve 2 + 2 = -v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 23*f**4 + 5*f**4 - 1990*f**3 + 3*f**2 + 8 - 11*f**4 + 1996*f**3 + 4*f to g*f**4 + h*f**2 + w*f + c*f**3 + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oosdidsizqoo. Give prob of picking 1 o, 1 q, and 2 s.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(1 + 1 - 24). Let r = t - 9. Suppose 0 = -2*g - 3*g + 185. What is the remainder when g is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -4, -76\/3, -0.2?\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -120*l - 100. Let t be k(-1). Solve -t*c = 5*m - 22*c - 5, 0 = m + 5*c - 28 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbbnhbhbbnnbbbbnbbh. What is prob of picking 1 h and 3 b?\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 13. Suppose 6*z + 13 = 49. Calculate p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k - 8. Let q be j(2). Suppose 3*i - 4*i - 5*g - 24 = q, 3*i + 40 = g. Is i bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -56*w - 143. Let d = 8 + -13. What is the nearest to w in 3, d, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/1193 and 21\/11.\nAnswer: 13123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 182. Let z = -55 - b. Let y = 86 - z. Solve 5 = y*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 18, 9, -4, -21, -42, -67?\n\"Answer: -2*t**2 + t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*l - 17 + 5, -4*k = -2*l - 18. Suppose k*i + 34 = 62. Solve -5*y - i*g = -2*g + 20, 3*g + 10 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-12))\/((-2)\/(-8)). Let q(i) = 3*i - 16. Let g be q(y). Let m = 104 - 98. Solve -5*u = l - 7, -m*u + 11 = g*l - 5*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*o - o = 36, -3*o = 2*m + 24. Let r be 320\/m*3\/(-2). Suppose 6*u - u = r. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Let p = 10.976 - 11. Let i = 0.476 - p. Sort j, i, 10\/9.\nAnswer: j, i, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 6*n - 2*n + 0*n + 4*n + (4*n - 2*n - n)*(0 + 2 - 3))*(-7 - 8 + 4 - 1 + 2 + 1 + (-1 + 1 + 1)*(2 + 0 - 3) - 1 + 1 - 2).\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-3)\/35*-91?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1334*w + 667. Let q(m) = 46*m + 23. Let g(r) = 115*q(r) - 4*t(r). Let s be g(-7). Suppose -2*b + 45 = -s. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a**2 - 5*a + 2. Let c be y(-7). Is ((-2)\/(-4)*-3)\/((-3)\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.026083 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4)*(-96)\/2160?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2714080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563913 to the power of 1\/2, to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - 2. Let m be (-5)\/(650\/32) - 2\/13. Which is the nearest to 3? (a) 5 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 8*c**2 + 9*c + 6. Let j = -10 + 1. Let q be y(j). Let b be (-1 + 4)\/6*q. Solve -5*d = 5*r + 25, 7*d - b*d - 4*r = 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + 7*z + 50. Let t(r) = -4*r**2 + 6*r + 50. Let l(s) = 6*t(s) - 5*v(s). Suppose 6*u = 3*u. What are the prime factors of l(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 13*w**5\/60 + w**4\/8 + w**3\/3 - 12*w**2. What is the units digit of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*t**2 + 45*t**2 + 2*t - 5*t**3 + 24*t**2 + 1 to the form r + b*t + s*t**3 + m*t**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30770.\nAnswer: 2, 5, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.0016?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 2 in increasing order.\nAnswer: -9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61401 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331825 is divided by 25524.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y - 6. Let w be (-2)\/(-5) + 7\/(140\/732). Suppose -33 = -7*r + w. Calculate the lowest common multiple of r and u(4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 467 + -458. Find the third derivative of 172*h**4 + 10 - 7*h**2 - 2 + 14*h**2 - d wrt h.\nAnswer: 4128*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002841727 to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027 times -2828?\nAnswer: -76.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 131, 264, 385, 488, 567?\n\"Answer: -c**3 + 140*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96616\/91 + 8\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3 - g + 5*g**3 - 5*g**3 wrt g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311805 is divided by 103923.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 7*o - 5. Suppose j + 3*j = 0, -h - 5*j = 7. Let l be a(h). Let m = -22 + 25. What is the closest to 0 in l, m, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -123, -283, -489, -729, -991?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*r**3*z - 2881*i**2*z - i - 57*r**3 + 4*r**2*z - 15*z wrt i.\nAnswer: -2*i*r**3*z - 5762*i*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-18)*16\/(-78)*21\/(-28).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3768 + 169*s**3 + 3768 - 2*s + 2*s**3 + 2*s + (-6 + 3 + 4)*(2*s**3 + 2*s - 2*s) + 3*s**3 + 0*s**3 - 4*s**3 - s**3 + 12*s**3 - s**3.\nAnswer: 182*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -10*k**4\/7 + 362*k**3\/7 - 1026*k**2\/7 + 1006*k\/7 - 332\/7 = 0.\nAnswer: 1, 166\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*m, -6*m + m = 2*s + 3. Let o be (3 - (2 + s)) + 4\/(-2). Suppose 0 = o*z + 4*b + 16, -4*z - 4*b - 8 = -2*b. Solve z*c - 8 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -15. Find the third derivative of 2*p**2 + p**s - 2*p**3 - 6*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d**(-2\/3)\/d*d)\/d*d*d*d)**(-6)*(d*d**(-1\/4)*d)**(-19) assuming d is positive.\nAnswer: d**(-237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**5\/20 + u**4\/12 + 13*u. Factor f(c).\nAnswer: -c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3771\nAnswer: -3771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 25 + 21)*(1 + 1 + 0)*(-v - 10*v - 3*v).\nAnswer: -1120*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 147669*z + 5168393. Determine y(-35).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from rfryxfrrfrfroxr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 less than 10742?\nAnswer: 10690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2368*f - 65. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2) + 4 + -4. Suppose -d = -2*r - 227, i*r = -4*d - r + 963. Is (-3 + 1)\/((-6)\/d) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 1, t: 1, y: 1}. What is prob of picking 2 l and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 291 - 295. Suppose -1 = c + 4. Put 0, c, a in descending order.\nAnswer: 0, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 237 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 - (-10 - -37). Let f be 18\/48 - z\/16. What are the prime factors of (((-20)\/3)\/f)\/(4\/(-282))?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 20*q - 2 = 0. Suppose -b + 5*k + 16 = -19, k = q*b - 34. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13811\/18 + 768. Find the common denominator of k and -27\/190.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -46, -4, 2290 in descending order.\nAnswer: 2290, 4, 0, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1414 - 1400. Suppose 2*u + 8 = -3*k + k, 0 = -4*k - 2*u - 10. Calculate the remainder when b is divided by (-7 - -14) + (k - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 890.79 and 158?\nAnswer: 140744.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -24588?\nAnswer: 41\/24588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -6\/25*z**5 - 9\/70*z**7 + 3\/10*z**6 + 0*z**3 + 1\/15*z**4 + 0 + 6*z + 0*z**2. Factor n(y).\nAnswer: -y**2*(3*y - 2)**2*(3*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(35)\/(sqrt(70)\/sqrt(10)) - (-4 + 3 + sqrt(245)).\nAnswer: -6*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42338 is divided by 522?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -56. Suppose o*f = 41*f. Suppose -4*q + 162 - 10 = f. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5602148 and 9772?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 62 = -4*z, -4*z + 40 = b + 17. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9568 + -9564. What is the nearest to -4 in c, 5, 1\/100?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 349 = -25. Suppose c + 2*c = s. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 160796, 321581, 482366?\n\"Answer: 160785*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9\/10 (b) -4 (c) 2821 (d) 29 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from llzzzzzlhzllllzlz.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 3. Let k be x(2). Let n be 21\/(-24) + (-5)\/5 + 2. Let v be (-3)\/(-84) - 4\/14. Which is the closest to v? (a) k (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459036596 to the power of 1\/3, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**5*u - 37*h**3*u**2 + 34*h**2*u - 6*h*u - h + u**2 + 477*u + 1 wrt h?\nAnswer: 160*h**3*u - 222*h*u**2 + 68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -111 (b) 3 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1516.\nAnswer: -3\/1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1516*i - 46742 = 34514 - 20616 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -17*s**3 - s**2 + 6*s - 22. Calculate a(4).\nAnswer: -1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 - 9*j**2 + 33*j + 1. Let v(r) = -2*r**3 + 5*r**2 - 12*r. Let c(b) = -3*k(b) - 7*v(b). What is c(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 120*u**3 + 16*u**2 - 16*u + 16. Let b(d) = 40*d**3 + 5*d**2 - 5*d + 5. Suppose -33*c = 29*c - 49*c + 208. Determine c*b(a) + 5*j(a).\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 479 and 536811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -1140*w**7\/7 + 2*w**3\/3 + 781*w - 1564. What is the third derivative of q(i) wrt i?\nAnswer: -136800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w**2 + 11*w + 2. Let j(u) = 5*u**2 + 4*u + 1. Let s(k) = 8*j(k) - 3*o(k). Let n(q) = -q**2 - q + 1. Let z(x) = 5*n(x) - 3*s(x). Give z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -28, -32, -18, 20?\n\"Answer: o**3 - 23*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0239178 rounded to four dps?\nAnswer: 0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.77448189 and 3.\nAnswer: 2.32344567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 48 = 3*n, -5*i - n - 4*n = -100. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -28, -106, -258, -508, -880, -1398, -2086?\n\"Answer: -4*l**3 - l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*k**2*l - f**2*k*l - f**2 - f*l + 5634*k**2 + 69*l wrt k?\nAnswer: 4*f**2*l + 11268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/37)\/((-1)\/(1\/2*44\/(-11))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -494342 - -491118.99. Let x = n - -3244. Round x to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 993 - 1008. Sort -2\/7, x, 1, 5.\nAnswer: x, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10773 and 168.\nAnswer: 86184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/16 + 8. Factor z(i).\nAnswer: -i**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*4\/(-20))\/((-54)\/(-30))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4840, 9666, 14488, 19306?\n\"Answer: -2*m**2 + 4832*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -168\/5*j + 4\/5*j**3 + 64 - 156\/5*j**2.\nAnswer: 4*(j - 40)*(j - 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 g when three letters picked without replacement from {x: 1, h: 4, g: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6091*r*v**4 + 247*r*v**2 + 38515*r*v + 47*v wrt v?\nAnswer: 73092*r*v**2 + 494*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130851791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*w - 4*f - f, -5*f - 9 = -2*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 6*y - 2, 0 = 5*y - 8181773*i + 8181778*i + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (98 - 165) + -80 - -114\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-2 + 5 - 1) - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**3\/(((h\/(h**(-8\/11)\/h)*h)\/h)\/(h\/(h**(-9)*h))) assuming h is positive.\nAnswer: h**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26534 is divided by 248?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2)*(-4)\/56*-8. Solve 0 = -f*q + g + 8 + 1, 2*g - 6 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((6*1*sqrt(1700) + (sqrt(1700) + 0)*-6)*-3)**2 + 5 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v**4 + 0*v**3 + 0 + 0*v + 1\/30*v**5 - 3*v**2. Let q(x) = 2*x. What is q(s(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118 - 119) + -1 + 13 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 6*h - 5*h)*(2*h + 4*h - 31*h + 2).\nAnswer: -175*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 87?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243.3 + -243. What is the nearest to 2\/5 in -4, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 20*g. Let u(p) = 58*p**2 - 36*p**2 - 27*p**2. Calculate u(a(r)).\nAnswer: -2000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177 - (8 - 0 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3 + 4 - 2*l + 59*l**2 - 58*l**2. What are the prime factors of i(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37.13179 litres?\nAnswer: 37131.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 195863848\nAnswer: -1\/195863848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2625 = -4*t, -4*t + 5*d + 0*d = 2623. Let g = -456 - t. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81313007 minus 0.28?\nAnswer: -1.09313007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 13) to base 12.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95381.2 - -95380.100158. Let f = v - -1.1. What is f rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 48, 67, 84, 99?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/(84\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -474 * 184.\nAnswer: -87216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddd when four letters picked without replacement from {d: 6, y: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51339979417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t - 36. Let k be (48\/(-20))\/(2\/15). Let u be (t\/16)\/(k\/16). Which is the second biggest value? (a) u (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 20. Solve -4*w = -q*w - 2*n + 8, 4*n = -w + 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21*w - 344. Is b(-22) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -21 + 31 - 10 - j. Let z(t) = -5*t - 2. Calculate 2*d(c) - z(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 24*q + 178. Let a be f(-9). Let d = -268\/7 - a. What is the biggest value in d, 0.2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 757496, 1515071, 2272646, 3030221, 3787796, 4545371?\n\"Answer: 757575*m - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 4 + 4)*(-5 - 2 - 2) + 3 + 1 + 0)*(2*o**2 - 3*o + o**4 + 3*o).\nAnswer: -122*o**4 - 244*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/((-640)\/32000)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwvwwmw. Give prob of picking 1 w and 1 v.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/1227?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58909325747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 46 = -46. Suppose -7*q + 2*q + 5*r + 230 = y, 0 = -2*q - r + 77. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*((-1)\/(-9))\/(4\/6). Which is the nearest to 0.4? (a) -4 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 7*f**2 + 8*f + 5. Suppose -4*i + 36 + 12 = 0. Let q be i\/28 - 90\/14. What is u(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/3 - (-1 + -1). Suppose 2*z - 16 = -2*z. Let m = j - z. Solve 3*n + 3 + 0 = m*f, 2*n - 3 = f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a65 + 266a?\nAnswer: 1c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**2 - 9*x**5 + 6*x**5 + 32*x - 27*x + 6*x**6 wrt x?\nAnswer: 720*x**3 - 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -9 + 21\/(-8))\/3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a = 174*a - 3601 - 629 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2812*g**2 - 4*g + 4*g + 0*g.\nAnswer: -2812*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-592 - -601) + (-2)\/(-2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9015, 9014, 9013, 9012, 9011?\nAnswer: 9010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16759, 68452, 154599, 275200, 430255, 619764, 843727?\nAnswer: 1102144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from idxxbrrs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36 - (-1)\/(-2)*6. Suppose 3*w + 6 = -3*u, -i = 5*u - 2*w - 9. Let l = -2\/345 + 236\/1035. Put u, 4, l in descending order.\nAnswer: 4, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 18. Let v be (12\/y - 1)*6. Solve 0 = v*m - 9 + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762919.\nAnswer: 1762919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-9)*12\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352982 smaller than 1352980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2170976 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.36347659 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quuq when four letters picked without replacement from {q: 6, u: 13}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**4 + 1236*r**3 + 490*r**2 + 46069*r + 38 wrt r.\nAnswer: -24*r**2 + 7416*r + 980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713878692.\nAnswer: 2, 3, 23, 2586517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/19)\/k)\/(((k\/(k\/(k\/(k\/(k*k**(3\/8)*k)))))\/k)\/k))\/((k*k**(-5\/2))\/(k*k**(-2))))**(2\/41) assuming k is positive.\nAnswer: k**(-117\/3116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 2*v**2 - 5*v - 3. Let x be a(-4). Is (175\/x)\/(-7)*33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -28 + 48 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 8. Suppose 3*b = 4*b + n. What is the tens digit of (0 + b)\/(3\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63315 = -19*j + 4*j. Let c = j + 9308. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36475790\/63 - 579012. Let d = 286\/9 + a. Is -3 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208861766 is divided by 195.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/2)\/(-3)*((-15275)\/2350)\/(26\/8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000304 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - 3*i**2 - 8*i**2)*(i**2 - 3 + 3) + 9*i**3 - 9*i**3 - 5*i**4.\nAnswer: -19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let w(d) = 10*d**2 + 6*d - 6. Let m(z) = -z**2 - z + 1. Let j(q) = 6*m(q) + w(q). What is j(p(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/65 and 89\/331162.\nAnswer: 1655810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6206)\/174)\/(-107))\/((-1)\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2183 by -59.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67432 (base 13) to base 15.\nAnswer: -3a827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0 + 3 - 15)*(0*u**2 + 3*u**2 + 0*u**2).\nAnswer: 3*u**4 - 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 42.8.\nAnswer: 1198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**7\/18 - 5*a**6\/72 - a**5\/18 + 2*a**2 + 5. Suppose n(j) = 0. Calculate j.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 37. Solve m = u - 8 - h, m = 4*u - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-o + 6*o + 10*o)*(-2*o**4 + 2*o**4 + o**4) + (3*o**3 - 3*o**3 + o**3)*(2*o**2 + 4*o**2 - 5*o**2) + 2*o**5 + 3 - 3 - 2*o**5 + 0 + 0.\nAnswer: 31*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/11 - 321\/(233046\/660)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 178134\/295, 0.3?\nAnswer: 178134\/295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -867996 divided by 6\nAnswer: -144666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3185\/728*36\/(-45).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9577.777 days in microseconds?\nAnswer: 827519932800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(0 + (-3)\/(-6)). Let t(k) = k**3 - k**2 - 3*k + 1. Let h be t(y). What is the units digit of 70\/8 - h\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 6 + 98\/7. What is the greatest common factor of j and 2502?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(4\/7))*f)\/f)\/(f*f**(5\/3)*f))\/(f**6*((f*f**(-3))\/f)\/f) assuming f is positive.\nAnswer: f**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70*(-1 - 0 - (-14)\/10). Suppose -6*n = -8*n + y. Suppose -z + n = 10. Solve 0 = 3*x + 3*m + 2*m - z, -5 = -2*x - m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 62. Let q be v(-22). Let u be 2\/56 - (q - 45\/(-12)). Which is the closest to -3.9? (a) 4 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758084810 to the power of 1\/3, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/3)\/(4\/(-24)). Suppose -f*i = -7*i + 20. Solve 0 = -4*c - i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 162 + 6 + -54.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 1149*u**3 - 110589*u**2 + 109443*u.\nAnswer: -3*u*(u - 191)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 828020284 to the power of 1\/3, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.007 - -231.007. Let b = -230.9642 + n. Let m = -0.035 + b. What is m rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0 - 1 - 6*c + 0 - c**2. Let i be ((-60)\/21)\/((-4)\/14). Suppose -q + 6*v = v - i, 0 = -q + 2*v + 1. Calculate t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33972 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**5 + 0*q**5 + 4*q**5)*(-3 + 3 - 1 + (1 + 4 - 3)*(2 - 2 + 1) - 2 - 1 + 4 + 0 + 3 - 1 + 1 + 0 - 2) + 2*q**2 - 2*q**2 + q**5.\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r + 10*r - 12*r in the form q + d*r and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5.2 * 5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -979863 divided by -5\nAnswer: 979863\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 45 (b) -1\/6 (c) 0.081 (d) -1 (e) -10 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9297 is divided by 106?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 - 1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -4. Suppose n + 4 = -q, 0 = q + 4*q + 4*n + 19. Let o(i) = i**2 + 5*i + 3. Let b be o(q). Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 375974 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/120 + n**5\/20 - 5*n**4\/24 - n**3\/2 + 2*n**2. Determine v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*a + 79. Let b(r) = r**3 + 12*r**2 + r + 11. Let d be b(a). Let y be (2\/6)\/(d\/(-3)). What is the greatest common factor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 - 22*d - 2. Let h be j(-7). Suppose h*z - 1 = 2*q, 4 = 5*z - 3*q + 5. Which is greater: 3\/38 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:47 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 830 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0 = q + 57, 5*c = -3*q + 84. Find the third derivative of -c*f**5 + 45*f**3 + 15*f**2 - 45*f**3 wrt f.\nAnswer: -900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50514925 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -128*v + 1018. What is q(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 - 3*b. Let d(c) = -4*c**2 - 4*c - 1. Let y(f) = 5*d(f) - 6*w(f). Let p(a) = 4 - 3 + 13 + 6*a + 6*a**2. Calculate 6*p(k) + 17*y(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 606, -12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - x = 48. Suppose t + 7 = -0*t. Which is bigger: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 5\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 138*l + 20*l - 416 - 58. Factor 24\/7*y + 48\/7*y**l - 15\/7*y**4 - 3\/7 - 54\/7*y**2.\nAnswer: -3*(y - 1)**3*(5*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 48 = 84. Let w be (-6)\/(7\/(56\/(-12))). Suppose -5*g = w - 29. Solve -c - 3*z = -l, -g*c + 25 = -0*z + 2*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -206 and -0.00714235.\nAnswer: 1.4713241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/((v*v*v\/v**10)\/v)*v)\/v)\/v)\/(v*v**(-11)\/v))\/(((v**(-1\/11)*v)\/v)\/(v*v\/(v\/v**(-7)))))**45 assuming v is positive.\nAnswer: v**(6480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, 19.6, -6\/7, 5, 0.03?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*p**3 - 2570400*p**2 - 1927854*p - 361476.\nAnswer: 2*(p - 20082)*(8*p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*w - 3866 - 63290, -w - 67181 = -4*v. Suppose -2*o - 2*o + 5*m = -v, 12593 = 3*o - 5*m. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 4, d: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2640*i + 2750*i. Let o be 2*2\/4 - -2. Let y be (-1)\/(-4)*(-10)\/o. Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 - 182. Suppose 0 = -4*l + 5*s - w*s + 173, 4*s + 12 = 0. Calculate the remainder when -24*(-20)\/24*4 is divided by l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -230*j**2 + 4060*j + 8077*j + 2*j**3 + 230*j**2 + 2311*j in the form n*j**3 + g*j**2 + x*j + s and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/4, -6\/5171?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 + 242 + 247 - 4*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 31 - 13 - f**3 - 10*f**2 - f**2 - 11 - 12 - 2*f. Determine q(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 9. Let b be c(7). Suppose n + b = -3*n. Let f be n\/(-12) + (-9)\/(-12). Solve z + 2*k = -2, z + k = -0 + f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1578 and 5786.\nAnswer: 17358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -557040 or -557041?\nAnswer: -557040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**3\/2 - n**2\/2 - 2*n. Let h be v(2). Suppose -p - 158031 = 5*c + 66971, -10 = h*p. Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39 (b) 0.1 (c) -11\/29 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -81, -279, -649, -1245, -2121?\nAnswer: -3331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292163165.\nAnswer: 5, 7, 1597, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22844*h**2 - 3720*h - 3713*h + 7433*h)*(-2*h**2 + 3*h**2 - 3*h**2) to the form n*h**3 + t + d*h**4 + j*h + s*h**2 and give d.\nAnswer: -45688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10197, -40718, -91625, -162930, -254645, -366782, -499353?\nAnswer: -652370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2342 + 3606. Suppose -2*b + 2*v + 2488 = 0, 3*v + 0*v - r = -b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*o - 0, 4*s + 2 = -o. What is the remainder when ((-16)\/40)\/(s\/50) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -5\/2 (b) -26.7 (c) -1\/6 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10110?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-18))\/((-22)\/(-99)). Let j be (-4)\/(-14) + (-2)\/7. Put x, j, 1 in descending order.\nAnswer: x, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/895742 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246179 - 2044*w + 246179 to the form v*w + g and give v.\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9467?\nAnswer: 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**3\/3 - 5*s**2\/2 + 4*s + 8. Suppose h + 15 = 28. Let k(z) = z - 7. Let a be k(h). What is g(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, s: 1, e: 2, c: 1, h: 1}. Give prob of picking 1 c and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 1121 = -4*o. Let n = o + 64. Let q(z) = z**2. Let m(x) = 4*x**2 + 5*x - 3. Let g(d) = m(d) - 5*q(d). Calculate g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -11\/2, 0.4, 0.1, 566, 0.5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a litre in millilitres?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 - 75*c - 130 + 65 to l*c + j and give l.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*i + 10 = 0. Sort -11, 4, i.\nAnswer: -11, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 105*y - 53*y - 32*y. Put -2.4, y, -3 in descending order.\nAnswer: y, -2.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1253775586+16601\nAnswer: -1253758985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-3) + 4 - (2 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 9*d - 6. Let m be a(-10). Suppose -m*u = -3*u + 5*h - 21, -4*u = 3*h - 16. Solve -x = u + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (6 - (0 - -15)) + 11 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eie when three letters picked without replacement from {e: 2, a: 7, i: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 14399?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)\/d**3)\/(d**(2\/7))**(-1\/17))**(14\/13) assuming d is positive.\nAnswer: d**(-642\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 1, n: 5, y: 9, x: 1}. What is prob of sequence xdy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235 - 235. Solve -3*y = -o - s - 6, y - 3*o = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k. Let z(n) = 6*n + 4. Calculate z(y(b)).\nAnswer: -30*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002249 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*b + 5*b - 560, 5 = g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 2427.\nAnswer: 41\/2427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -7*y + 0*y**2 + 1\/160*y**5 - 1\/240*y**6 + 1\/96*y**4 - 1\/48*y**3 + 0. Find l such that f(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 275, 278, 275, 266?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/20866 and 25\/279?\nAnswer: 5821614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 292, 726, 1338?\n\"Answer: 89*z**2 - 11*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(143) - (sqrt(143) + -2*sqrt(143))) + sqrt(143)))\/(-1*sqrt(33)\/sqrt(3))*-5.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r**3 + 0*r**2 + 37*r - 23\/2*r**4 + 14. What is the derivative of i(o) wrt o?\nAnswer: -138*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 27*f**2 + 95*f - 56. Let v be w(23). Let d(g) = 3*g**2 + 16*g + 6. What are the prime factors of d(v)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172432548 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -144958 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -68, -89, -130, -197, -296, -433?\n\"Answer: -u**3 - u**2 + 3*u - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 8*y - 5. Calculate the least common multiple of w(-7) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 2*u - 5, 4*u + 8 = 4*w. Calculate the remainder when 2*w\/12 + (-2275)\/(-30) is divided by (-2)\/4 - 53\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*-189\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3799, -3803, -3809, -3817, -3827, -3839?\n\"Answer: -y**2 - y - 3797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23173, 23170, 23167, 23164?\n\"Answer: -3*w + 23176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.329 + -143.671. Let h = m + 143.94. Which is the second biggest value? (a) 0 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 1, y: 1, l: 1, k: 1}. What is prob of picking 1 k, 1 v, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000978271664 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017567804 rounded to six dps?\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 5. Let f(j) be the second derivative of 7*j**3\/6 - 5*j**2 + 21*j. Let q(s) = -2*f(s) + 5*h(s). What is q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/120 + 2*y**3 - 3. Let m(h) be the third derivative of g(h). Let k(l) = 2*l. Determine m(k(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 128. Give y(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + t**2 - 9 + 48 - 3*t. Suppose 3*u - 35 = -2*z - 1, -6 = -u + 2*z. Calculate the remainder when h(0) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o**2. Let m(d) = -2*d - 2. Let l(t) = -8*t - 7. Let f(p) = 4*l(p) - 14*m(p). Calculate u(f(v)).\nAnswer: 304*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 22*l**3 + 6*l**3 + 4*l**2 + 2*l**2 + 4 + l - 10*l**2. Does 10 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((759\/(-23))\/(-165))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 2. Suppose -6 = -i - 2*i. Let a be b(i). Solve -3*j = a - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.081 (b) 0.1 (c) 3 (d) 36.507\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*v**2 - 3578*v + 3578*v + (-v - 2*v + 2*v)*(v - v + v) as i*v + u*v**2 + g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0472247 rounded to four decimal places?\nAnswer: 0.0472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -131268 (c) -547\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 16*p**2 + 81*p**2 + 60*p**2 - 3 - 50*p**2 as m*p**2 + b + s*p and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 55 = -5*d. Let c = -8 + d. Calculate the lowest common multiple of 5 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.73 - -176.27. Let q = 184 - f. Sort -2.2, -0.2, 0.2, q.\nAnswer: -2.2, -0.2, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 - -111.8. What is the nearest to -1\/4 in i, 7, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/862 - -28857\/3448. Let k be 30915\/216895 + (-2)\/14. Let v = k + -452357\/74364. What is the common denominator of p and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a29513 (base 11) to base 10.\nAnswer: 3423951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g**2 - 1 - 468*g - 34*g**2 + 24*g**2 in the form m*g**2 + t + p*g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3 + 66392*q**2 + 1101908021*q - 2204081618 = 0. Calculate q.\nAnswer: -33197, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*a - 936 + 906 = 0, 28 = -4*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syssys. Give prob of sequence sssy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-3)\/(-4))\/(36\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -21*g. Solve -2*l = -6*w + 11*w + 4, g = w - 4*l - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 + 2 = 4*d, -4*d = 0. What is the remainder when 53 is divided by 164\/9 + y\/(-27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3411 + -3413.58. Round x to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1, -12\/13.\nAnswer: -12\/13, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.952 greater than or equal to -416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 + -116. Let g be ((-4)\/(-5))\/(3\/1290*-4). Let q = g + w. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-6))\/u)\/u**(-3)*u**(-3\/4)\/(u**(31\/4)*u) assuming u is positive.\nAnswer: u**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*c + 42, 0 = -4*c - 3*x - 0*x + 39. Solve -4*k - c = -7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 15. Suppose -j - p + 9 = -0*p, 5*j - 4*p = 27. Solve -t - 2 = -2*y + b*t, -3*y + 2*t = -j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i**1*i)\/i*i*i)\/i*i)\/(i\/i**7)*(i*(i*i**6)\/i)\/i**(-2\/3)*i**(-7)\/(((i\/(i*i*i**(-6)*i)*i*i)\/i)\/i)*i\/(i**(-3\/2)*i)*i**(-5) assuming i is positive.\nAnswer: i**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8213997.\nAnswer: 3, 11, 248909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let j(b) = 4*b - b - b. What is j(d(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -41*f**3 + f**2 - 9*f + 11. Let m(q) = -21*q**3 + q**2 - 5*q + 6. Let t(z) = 5*m(z) - 3*y(z). Calculate the remainder when 42 is divided by t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 12) to base 4.\nAnswer: -3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123 a factor of 510080161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239 or -238?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 6*n**2 + 5*n + 6. What is the remainder when a(-5) is divided by (8\/6)\/(44\/99)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:01 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 156*w - 919. What are the prime factors of t(-115)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*(-19 - -17). Suppose -9 + 21 = l*d. Suppose -d*c - 20 = 0, 5*b + c - 2*c = 130. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -2*z**3\/3 - 2*z**2 + 7*z. Let l be m(-4). Let v = l - 6. Calculate the highest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -68*s - 80. Let m be t(-5). Suppose m = 26*r - 0*r. What is the smallest common multiple of r and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-268)\/400 - 303\/(-404). Which is the nearest to -1? (a) -2\/57 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 40, 46, 56, 70, 88?\n\"Answer: 2*h**2 - 4*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(3) + -6*sqrt(24)\/sqrt(8))**2 + 1 + sqrt(75) + 1 + (-3*1*sqrt(3))**2).\nAnswer: -416 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 + p - 1. Calculate the smallest common multiple of x(1) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 275220*w = -275225*w - 124, 3*w = -2*y - 80 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/22, 5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2483.5 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59555 is divided by 3722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*o + 7. Suppose -o*m + 6*m = -l + 2, -53 = -4*m + 5*l. Solve m = -5*j - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226822 * -1.9\nAnswer: -430961.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (10 + 0) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184145013?\nAnswer: 3, 13, 47, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2593*m**2 - 730*m**2 + 11379*m**2.\nAnswer: 13242*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54 - -3c3b?\nAnswer: 3c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 108*j**2 - 97*j + 39356. Give o(-112).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 5*h + 3. Let s be w(3). Let l be (-1)\/s*(1 + -2). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5260*q + 5022*q + 4851*q + 3776*q + 130*q as o*q + r and give o.\nAnswer: 19039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8609.52 litres to millilitres.\nAnswer: 8609520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09447 - -0.08707. What is y rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 28. Let f(n) = -n**2 - 2*n + 4. Let h be f(-5). Let i = g + h. Solve -i*q + 3*q = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -0.22997466277\nAnswer: -1.22997466277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = u - 1478, -2968 = -2*u - 38*k + 37*k. Is u a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2*j + 1. Let x be q(-1). Let v = 1 - x. Suppose -4*w + 2*w + 142 = v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x - 1. Suppose 5*t + 0*t = 5*z - 50, -2*z - 7*t = 25. Let q = 29 + -12. Suppose q*y + z = 18*y. Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*d + 4, -2*i = 5*d - d - 4. Let s(m) = m**3 + i*m - m**2 + 1 - m**3 + 2*m**3 - 3*m**3. Let h = -38 + 36. What is s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 11*x**2 + 88*x - 24. Let m be z(-17). Put 2, -4, m, 1, 5 in ascending order.\nAnswer: -4, 1, 2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284979 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 137670*f + 12640248.\nAnswer: 3*(f - 45798)*(f - 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*r = -r - 17, 2*h - 5*r = -13. Let a = 90 - 88. Is h at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*t**2 + 18*t + 764 - 38*t + 43*t**2 + 20*t to w*t**2 + o*t + r and give r.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10864880 is divided by 221732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 49*j - 5. Let r be m(2). Let w = -81 + r. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 72.59015mg?\nAnswer: 0.00007259015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -207, -337, -509, -717?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from tstssts?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 4. Let g be h(-9). Suppose -5*f + g + 0 = 0. Which is bigger: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/(-42))\/(7116\/(-1424) + 5). What is the closest to -0.3 in b, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42889432.\nAnswer: 2, 191, 28069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 2 + 2*g**2 - 6*g + 23*g)*(-1348*g - g**2 - 13 + 1348*g) as d*g + c*g**3 + o + m*g**4 + p*g**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -3, 36, 23, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -26*n + 7 + 0*n**2 - 2\/3*n**3. Let d(j) = -4*j**2. Calculate d(u(x)).\nAnswer: -16*x**4 - 416*x**2 - 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*c - 4417 = -21175 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -74. Let a = -59 - q. Sort 7, -1, a.\nAnswer: -1, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 24 = -11*g. Factor -3*r + 0 + 3\/2*r**g + 3*r**3 - 3\/2*r**2.\nAnswer: 3*r*(r - 1)*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 4*g**2 - 2*g - 22)*(-g**2 + g**2 - 4*g**2) to d*g + l*g**4 + y*g**2 + r + i*g**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2130 + -2127. Let q(u) = -24*u**3 - 7*u**2 - 7*u. Let s(d) = -12*d**3 - 3*d**2 - 3*d. Give z*q(w) - 7*s(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27.3 or -1\/3161?\nAnswer: -1\/3161","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -695.5 + 695. Which is the smallest value? (a) -1 (b) 1\/158 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4300328 - 0.41609. Let x = h + -0.014. Round x to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*y + 24, 0 = -y - 2 - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8979220 (base 10) to base 7\nAnswer: -136215325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 - -86. Suppose 0 = -2*j + 2*g + 18, j - g + 1 = -z*g. Calculate the highest common divisor of j and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/((-8)\/(4 + -8)). Let i be -14*(10\/n)\/5. Solve 2*l - i = 6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -7934, -4.\nAnswer: -7934, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b**2 + b - 2. Let v(r) = -4*r**3 + 10*r**2 + 8*r - 11. Let p(o) = 5*n(o) - v(o). What are the prime factors of p(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m**2 + 10*m + 35. Calculate j(-5).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2210 divide 7680591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1\/4 - -2734*(-1)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a. Let f be 2*-5*(-2)\/4. Suppose 4*h + 2 = 14. Let s(g) = g + 3*g - f*g + h*g. Determine o(s(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*t**2 - 6\/5*t + 2\/5*t**4 + 6\/5*t**3 - 4\/5.\nAnswer: 2*(t - 1)*(t + 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(-3)*(-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - c**2 - c + 4. Suppose -5*h - 4 = -w + 5*w, w = -2*h - 4. Let z be x(w). Calculate the greatest common factor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noxrnnoxooxoooxxffxx. What is prob of picking 1 r, 1 f, 1 x, and 1 o?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.93 - -3.93. Let w = -0.05 - -0.25. What is the closest to w in k, 2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvrvvrccccc. Give prob of picking 3 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 14824 + 11*m + 2563.\nAnswer: 15*m + 17387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03506 + -48.15494. Let t = n + -3.21. Let s = t + 51. What is the closest to -2\/11 in 0.4, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 480, 475, 468, 459?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 268533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 + 3*d**2 + 7. Let h(g) = -g**3 + g**2 + 3. Let j(t) = -t**2 + 21*t - 5. Let u be j(21). What is u*h(m) + 2*n(m)?\nAnswer: -m**3 + m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 5*q**2 - 5*q - 4. Let k(y) = -2*y**3 - 6*y**2 + 6*y + 5. What is -5*k(g) - 6*r(g)?\nAnswer: -2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + 0 + sqrt(208) + 4 + -5)**2 - (sqrt(208)*2*-1 + sqrt(208) + -4 + -1 + sqrt(208))*4).\nAnswer: -96*sqrt(13) + 948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 104*p**2 + 5*p - 26. Let r(o) = 52*o**2 + 2*o - 13. Let h(l) = 9*r(l) - 4*s(l). Differentiate h(q) with respect to q.\nAnswer: 104*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y - 324. Give p(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/252*(-18)\/8.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqcqqqcqppdqpcqpyq. Give prob of sequence qqq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -6)*3\/9. Suppose i = -7*m + m + 30. Factor -1\/4*l + 1\/4 - 1\/2*l**2 + 1\/2*l**3 - 1\/4*l**m + 1\/4*l**4.\nAnswer: -(l - 1)**3*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*i = 0, i + 13 = 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4517.2 - -4517. What is the nearest to r in -1\/6, 1\/51, 3, 57?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 8. Suppose 6*i = i. Suppose 3*u + f + 4 = 2*u, u + 4*f - 5 = i. Let d be w(u). Which is bigger: d or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 115\/(-4) - 2\/8. Let d be 4\/(-6)*(z - 1). Suppose u - d = -u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/26, -65\/3, -2\/5?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12272796 to the nearest integer?\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-17 + (-1 - -1) + 31 + -28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 19*l + 6*l + 44*l.\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5584.6 - 5584. Which is the closest to 0.1? (a) -2\/19 (b) k (c) 1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 4*p**5\/5 - 2*p**4 + 4*p**2 - 4*p - 179. Factor w(x).\nAnswer: 4*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:10 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2792*j**6 + 3013*j**2 wrt j.\nAnswer: 335040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) 210 (b) -21 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 18*d + 135. Determine p(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**8\/14 - v**6\/6 + v**4\/12 + 13*v**2 + 26*v - 2. What is the third derivative of q(u) wrt u?\nAnswer: -480*u**3 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*j - 23 - 51*j + 20 + 3 in the form m*j + p and give m.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3106?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.633282 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 2, n: 7}. Give prob of sequence dwd.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 7. Let w be b(12). What is the closest to -6 in 3, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/22))**(-4) assuming v is positive.\nAnswer: v**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 38905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6132, 5520, 4500, 3072, 1236, -1008?\n\"Answer: -204*j**2 + 6336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/2400*-18)\/((-22)\/(1760\/936))?\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = -12. What is the remainder when (-147)\/f + 4\/16 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/33 in -1\/7, 1\/9, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(144) + (sqrt(144) - ((-2*sqrt(144) - sqrt(144)) + sqrt(144)) - sqrt(144)) + sqrt(144)) + (sqrt(608)*-3)\/sqrt(2))**2.\nAnswer: 693139\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*t**6 - 855474*t**3 + 4840000*t**2 - 110?\nAnswer: 18480*t**3 - 5132844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((15 - 3) + -23)) + -40?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 10*q - 12. Suppose 3*v = q*k - 311, -v + 672 = 4*k + 3*v. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 1029.\nAnswer: 1028.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 1. Let y(z) = z - 88. Let o(x) = -4*k(x) - y(x). Let i be o(-30). Suppose l - 15 = i*a, 3*a + 21 = l - a. Solve -4*d = -l*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1216, -1531?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71746.\nAnswer: 2, 29, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 421 + 294 = 0. Suppose -6*x + 109 = 79. Suppose -3*t + 49 + q = 4*g, -x*g = 4*t - 240. Calculate the remainder when g is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73258 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*q - n - 16, 3*q + 5 = -4*n. Let i(h) = -16 - 41*h - 4*h + 21*h + 16 + 7. What is the tens digit of i(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 175*l**4\/6 - 40*l**3\/3 + 40*l**2 - 3*l + 77. Let b(r) = -13*r**2 + 3*r - 3. What is -80*b(h) - 3*u(h)?\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -3679, -12474, -29603, -57844, -99975, -158774, -237019?\nAnswer: -337488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 1, i: 1, q: 3, s: 3}. What is prob of sequence qzs?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, 23, -3, 0.105, 0.5, -67?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/20*-24*(-10)\/4. Suppose -1 = -y + 13. Suppose 0 = v*p - y*p + 354. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d**2 - 253. List the prime factors of f(14).\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 215594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/11, 1.07, 2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4 + 12 = -3*b, 4*b + 12 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5, 21, 128.\nAnswer: -5, -1, 3, 21, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5813237 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -798.1 + 798. What is the closest to g in 0, -5, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100718 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from xsxxfsrcfxxfxxcscrx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39, 2\/3, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44677 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5 + 6*f + 14 - 5*f + 0 + 3 - 2. Let q(d) = 3*d + 3. Let l be q(-5). Give c(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1049, 993, 899, 767?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1071 (base 11) to base 12\nAnswer: -995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(272) + sqrt(272) + -1)*3 + 1 + sqrt(272) + 2)*-2 + -1))**2.\nAnswer: 112*sqrt(17) + 53313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**7\/3780 - t**6\/540 + t**5\/270 - 8*t**3\/3 + 14*t. Let s(u) be the second derivative of v(u). Suppose s(m) = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4200*q - 3633. Is v(-7) a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 1, q: 1, t: 1, n: 1}. What is prob of sequence nbh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 3*i)*(-6*i**2 + 1 - 1) - 4*i**3 + i**3 + 0*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 + 37*c**3 + 41*c**3 - 26*c**2 as k*c + n*c**3 + m*c**2 + a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 747 + -381. Let c = 523 - u. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(880)\/sqrt(11).\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 - 0.57. Let m = -0.2 + j. Which is the second smallest value? (a) m (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 231*k**2 - 231*k**2 + 86871*k**3.\nAnswer: 86871*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = f + 4*f. Suppose 3*i - 2*w - 16 = 0, 5*w + 5 = 5*i - 25. Suppose -21 = -i*j - 1. Sort -1, j, f in ascending order.\nAnswer: -1, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -76*d**3 - 9*d**2 - 6*d - 10. Let x(q) = 38*q**3 + 5*q**2 + 2*q + 6. Calculate -4*g(h) - 7*x(h).\nAnswer: 38*h**3 + h**2 + 10*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 6. Let s(a) = 17. Let v(t) = -9. Let p(u) = 4*s(u) + 7*v(u). Give 2*f(y) + 3*p(y).\nAnswer: -2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -645868 take away 21?\nAnswer: -645889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(2 - 31 - 15)*(2*a**2 + a**4 - 2*a**2) as t*a**3 + i*a**2 + d*a + r + x*a**4 and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -581 + 3616 - 143*b**2 + 278*b**2 - 134*b**2 - 18696 to z*b**2 + a*b + j and give j.\nAnswer: -15661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -88 and 0.1455.\nAnswer: -87.8545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 2 + (-3)\/((-33)\/209).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10804)\/15330 + (-1)\/2*(-8)\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 371190 and 7698.\nAnswer: 476236770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {m: 2, a: 3, g: 6, h: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/266)\/((7 + (-186)\/18)*72\/140).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 11*z**2 + z + 14. Let w be v(-11). Differentiate 12 + 3*a**3 - 12*a**3 - a**w with respect to a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37322 is divided by 167?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - 2*i + 0*i - 28*i + 15*i + 30*i + (1 + 0 + 1)*(2*i - 4*i + i) - 3*i - 3*i + 0*i as r + v*i and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) + 1344\/748. Let l = -5\/17 - o. Which is the nearest to 1? (a) -2\/11 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/309, 0, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:39 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1293, -1191, -1021, -783?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8757 and 2719017.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -224 - -3358\/15. Let p = -0.077 + 4.577. Let v = p + -4. Which is the second smallest value? (a) t (b) v (c) 2 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -971, -1941, -2911, -3881?\nAnswer: -4851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1288, -2580, -3874, -5170, -6468?\n\"Answer: -k**2 - 1289*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**5 - 81316*r**4 - r**2 - 10*r + 27353 wrt r.\nAnswer: 120*r**2 - 1951584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/47040 and -7\/40.\nAnswer: 47040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (3*sqrt(224) - sqrt(14))\/(sqrt(72)*3).\nAnswer: -5 + 11*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.9 and 6\/1993 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-40)*5)\/(69750\/250).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.261669 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 783 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 10 = -s - 5*q, 10 = -s - 3*q. Let t(c) = -185*c - 20355. Let g be t(-110). What is the third biggest value in 10, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171829*c**3*w**3 + 53*c**3*w**2 - 3*c**3*w + 19*c**3 - 2 wrt w?\nAnswer: -1030974*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z + 598 = -608. What is the nearest to -0.5 in -0.2, z, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmp. Give prob of picking 2 p and 1 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-36))\/(10\/15)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 918 or 252496\/275?\nAnswer: 252496\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*v + 32*v + 48*v - 181 + 61*v - 149*v to y*v + i and give i.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6978748, -6978694, -6978544, -6978250, -6977764, -6977038, -6976024?\n\"Answer: 8*n**3 - 2*n - 6978754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 35. Let g(m) = -m**2 + 2*m - 3 + w*m - 7*m + 5*m. Let j = -2 - -8. Give g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 3}. Give prob of picking 1 e and 3 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 369\/7 + -53. Which is the nearest to -21? (a) -2 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001916329 rounded to 6 dps?\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -308 (b) 0.3 (c) 1733\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -493.123*7\nAnswer: -3451.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172125 is divided by 172119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t, 0*f + 42 = -2*f + 5*t. Let r = f + 19. Suppose 2*o - 156 = -0*l - 3*l, l = 4. Calculate the greatest common divisor of r and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*w + 2*w. Suppose -b + w*o - 6*o = -427, 3*o = -4*b + 1680. What is the remainder when b is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -5. Let m be 198 - -2 - (1 - g)*1. Calculate the highest common factor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10726, -11149, -11572, -11995, -12418, -12841?\n\"Answer: -423*y - 10303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b18 + c?\nAnswer: b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 1, z: 1, v: 2, f: 1, d: 1}. What is prob of sequence aa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -27. Let v(y) = -4*y**2 + 8*y + 5. Let g(z) = -5*z**2 + 9*z + 6. Give s*g(x) + 7*v(x).\nAnswer: 2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**5)\/l*l)\/l**(-8))**(-1\/90)\/((l*l**(-1))**(-2\/99))**(-1\/2) assuming l is positive.\nAnswer: l**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1698 and -1.8.\nAnswer: -3056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 7 + 38. Let j(h) = -5*h + 7. Determine j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t - 2. Let n be p(3). Suppose 0 = 3*u - 12, 0 = -n*w - 0*w - u - 36. What is the units digit of 1\/(w\/16)*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9. Let q(r) be the third derivative of r**8\/20160 - r**6\/720 + r**5\/60 - r**2. Let l(o) be the third derivative of q(o). Give l(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 228*q**2 - 544*q**2 - 761 - q + 249*q**2 wrt q?\nAnswer: -134*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 117\/(-156) - (-57)\/(-24)*-2. Let y(m) = -m**2 - 7*m - 5. Let j be y(-4). Suppose 5*t - j*t = 0. Solve -c*u + u + 3 = t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 + (-2)\/(-4). Suppose 4*t + 32 = -4*q, 275*t - 277*t - 26 = -3*q. Factor 1\/4*p**q - w + 0*p.\nAnswer: (p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1083)\/43320)\/((-2)\/(-16))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -2. Let p = x - -5. Sort -3, -5, p in descending order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*l - 0*l - 5, -2*l + 3*w = -9. Let x be (1 - 0)\/(l\/6). Calculate the remainder when (-9)\/3*-23 + x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 5*x - x + (-4 + 2 + 4)*(-110 + 110 - 103*x).\nAnswer: -210*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10))\/((-4)\/5). Suppose -5*p + 2 = -p + 3*o, 2*p - 5*o = 14. Factor -k*j + 2*j**3 + 0 + 3\/2*j**p.\nAnswer: j*(j + 1)*(4*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 112 = 4*k - 5*k, -5*d - 209 = -2*k. Let s = -623 + 654. Calculate the remainder when k is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 6:15 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-6)\/32)*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 26*m. Let d(s) = 3346*s. What is d(i(u))?\nAnswer: 86996*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69957, 97055, 124153, 151251?\nAnswer: 178349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o + 7. Let g(w) = 7*w + 4. Let j(n) = -11*g(n) + 6*v(n). Let a be j(5). Suppose a*t - 2*t - 15 = 0. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33 and 60.84.\nAnswer: 93.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.3, 3.63, -2\/13, 3\/38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.492 + -0.48. Round p to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56509 divided by 168?\nAnswer: 56509\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/12 - 5*d**3\/6 + d**2 - 4*d. Let q be (-2 + 2)*-1 + 5. Let n be k(q). Solve -4 = o - 2*r, -n*o - 2*o - 5*r = -23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9 + 4*h - 35*h + 17*h + 10*h. Give y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297441 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*r + 15*r - 54131 = 0. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 23974.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + (16 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*s - v, -5*s - 2*v + 7*v = 55. Let y(l) = l + 14. Let b be y(s). Suppose -u + 40 = 4*p - b*u, 4*u + 22 = p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**6 + t**4\/2 - 100*t**3 + 378. Find the third derivative of g(b) wrt b.\nAnswer: 360*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*g + 25, -z - 5 = 3*g + 14. Let b = 28 + g. Calculate the highest common divisor of 55 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -3826. Suppose 4*r - 8872 - x = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 602 + -425. Let t = -103 + w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616582.\nAnswer: 2, 308291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*l + 319 - 634*l + 317*l + 257 - 57.\nAnswer: -l + 519","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1\/1)\/(-2). Suppose l + 21 - 7 = x. Let z(f) = -f. Let y(s) = 6*s - 1. Determine l*z(m) - 2*y(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*o - 327 = -3*q, -q - 5*o + 315 = 0. Suppose -z - 3*z = -5*p - q, p - 1 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 73, 95, 141, 217?\n\"Answer: f**3 + 3*f**2 - 12*f + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3316274 is divided by 425.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**5 - 4*y**2 - 7. Let n(o) = -2*o**5 - 2*o**2 - 3. Let c(f) = 7*n(f) - 3*r(f). What is the third derivative of c(q) wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -1. Let l be 1\/g + 9\/4. Let m(t) = -l*t - 2*t - 2 + 2*t. What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + l)*(-1 + 0 - 3*l + 5*l)*(8830*l**2 - 11319*l**2 - 3 + 7450*l**2) as q*l**3 + t + f*l**4 + p*l + w*l**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 257 - 63 - 71 - h - 5055*h**2 - 64.\nAnswer: -5055*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k + 5 = -27*k + c, 3*k - 5*c - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 14.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.303 times 14300?\nAnswer: -118732.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1870 and 8.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 1\/441?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 778240\nAnswer: -155648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + c**2 + c - 1. Let k(x) = 3*x + 19*x**2 + 1 - 15*x**2 - 6 + 0. Calculate -k(z) + 3*q(z).\nAnswer: 3*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 h, and 1 m when four letters picked without replacement from {h: 3, m: 1, n: 3, i: 2, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018296 to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 144660?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {e: 1, d: 1, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -256157.\nAnswer: -7684.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 + 22*u - 13. What is the hundreds digit of g(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3243 - -1671. Let s = -2862 - o. Let a = s + 10303\/8. Calculate the common denominator of a and -67\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**5\/40 - 107*r**3\/6 - 306*r**2. Let s(l) be the first derivative of d(l). Let j(b) = 39*b**2. What is j(s(g))?\nAnswer: 351*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -276, -288, -304, -324?\n\"Answer: -2*b**2 - 6*b - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 3*d - d)*(3*d**3 + d**2 - d**2) + (-d**3 - 3*d**3 + 2*d**3)*(-3*d + 1 - 1 - 2).\nAnswer: 12*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -29\nAnswer: 122\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/81 and -11\/2430?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -923958 (base 10) to base 14\nAnswer: -1a0a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*h - 6*k - 16, 6 = -k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10196, -20400, -30604?\nAnswer: -40808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, -3\/340, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90586707565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (3 - 7 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 2*y**2 - y - 3. Let m(h) = 10*h**3 - 7*h**2 - 3*h - 10. Let l = 1 - 5. What is l*m(z) + 14*p(z)?\nAnswer: 2*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2)*1 + 20 + -23.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abp when three letters picked without replacement from babaaaaapa.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwkv when four letters picked without replacement from {e: 1, w: 1, c: 6, v: 1, k: 5}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -461822 or -3232760\/7?\nAnswer: -461822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*g**3*m + f*g**3 + f*g*m**2 - f - 2*g**3*m**3 - 12*g**3*m**2 + g*m wrt m.\nAnswer: 2*f*g - 12*g**3*m - 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 183 + 44 - 2*c**2 + 18 + 8*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 3*r. Let h(s) = -4*s**2 + 0 + 4*s - 3 + 4. What is -2*h(i) + 3*z(i)?\nAnswer: -i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/3441 and -53\/8?\nAnswer: 27528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/75 - 2*c**5\/25 + 7*c**4\/30 + 34*c**3\/15 + 24*c**2\/5 - 2772*c. Determine b so that m(b) = 0.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134616 and 1988?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 times 1?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 7*h + 2. Let a be b(3). Let w(c) = -a*c**2 + 4*c + c**3 + 5*c - c - c - 7. Let f be w(7). Put f, -3, 4 in descending order.\nAnswer: 4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 723\/4 (b) -5 (c) 0.4 (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - 8*c + 42 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2184 = -4*v - 2116 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089621 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -114. What is the tens digit of ((-4731)\/x)\/(-2 + (-3)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -183*m + 6. Let g(c) = -184*c + 7. Determine 5*f(y) - 4*g(y).\nAnswer: -179*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -40\/7 (b) -0.05 (c) 4\/3 (d) -3\/7 (e) -0.075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*d - 54*d - 54*d - 18)*(-1 + 2 - 3) + (28 - 63 + 32)*(1 - 1 - d).\nAnswer: -5*d + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + j = 4*j. Solve 0*k + 7*k = j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378733960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 2*w. Let l be u(-2). Let r be (-2)\/(-4)*(0 + l). Suppose -2*v + r*v = -16. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285492 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1530)*(-468)\/(-45). Let b be p\/5 + (-3)\/(-5). Suppose -8*l + b = -6361. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -71. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 8*v - 260. Calculate the common denominator of v\/12 - (-1)\/1 and 2\/(-5) + (-631)\/60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -23*f**3 + 1. Let r(d) = d**3. What is 3*r(p) + t(p)?\nAnswer: -20*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(-165)\/(-9)*1. Let o = f - -1481\/9. Let u = 22 - 21. What is the second smallest value in 1\/4, o, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -0*x. Let j be (-2 - -2)\/(1 - 3). What is the second derivative of -x*y + j*y - y**3 + y wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*i**3*y - 2227*a**2*y**2 - 541*a*i**3*y**2 - 7*a*i**3*y - 7*a*y - 8*i**3 wrt y.\nAnswer: -4454*a**2 - 1082*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 2*p**2 + 24*p.\nAnswer: -p*(p - 4)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9330047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82\/2 + (-3 - -2). Let d be o\/16*36\/10. What is the highest common factor of 99 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.014 - 0.554. Let d = p + -0.11. What is d rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2454*p - 9 = -2463*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:07 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -75, -43, -2, 7 in ascending order.\nAnswer: -75, -43, -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 10) to base 3.\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, a: 2, c: 3, m: 1, f: 2, o: 3}. Give prob of picking 2 a and 1 m.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let g be (1\/h)\/(1\/6). Let f(k) = -4*k**2 - 4 + 2*k + 0*k**3 - g + k**3. Determine f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/(y*(y\/y**(4\/3))\/y*y)*y\/(y*y**5)*y**(-2\/5) assuming y is positive.\nAnswer: y**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -22340001?\nAnswer: 22340003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5441645090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 213754 divided by 5\nAnswer: 213754\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -17, -3\/59?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-100) + 27\/(-5). Is -5 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589067210 - -4.\nAnswer: -589067206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 1284210014?\nAnswer: 1284209979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2204401 * -1.2.\nAnswer: 2645281.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 41 + 39 - 22*t to z + r*t and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11183575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**7\/1050 - u**6\/600 + u**5\/50 + u**4\/30 - 4*u**3\/15 - 36*u**2. What is z in s(z) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1364\/19477 or -1?\nAnswer: 1364\/19477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25562501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 - 221. Put z, -28, -4 in decreasing order.\nAnswer: -4, z, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + h)*(0*h - h + 0*h - 2*h - h + h + (-3 - 3 + 5)*(-4*h + 4*h + 2*h) - 2*h - 3*h + 3*h - 2*h - 41 + 41).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - m - 5, 6*m - m = -q - 19. Suppose c + 0 = q. Let k be c + -2 + (-28)\/(-24). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5724*x**2 - 92*x - 40. Let r be g(-38). What is r rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3 + 0)*(950\/(-133))\/(-25).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90697 + 364641\/4. Let k = 444 - l. What is the common denominator of k and 47\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(192))\/(sqrt(18)*3).\nAnswer: sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 - 7*h**4\/3 + 209*h**3\/6 - 91*h**2 - 5250*h. Find s, given that w(s) = 0.\nAnswer: 1, 13, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(-44)*h**(-7)\/((((h*(h\/((h\/(h**(-6)*h))\/h*h*h))\/h)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let l(m) be the third derivative of -m**4\/24 - 5*m**2. What is 3*f(h) - 3*l(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 3*c + 2. Let w = 19614 + -19615. Let x(a) = -a**2 - 1. What is w*y(b) - 3*x(b)?\nAnswer: 6*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1, 1\/3, 101?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2242, -4, 38, -1, 1 in decreasing order.\nAnswer: 2242, 38, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25742044700881494*a**2 + 524005544*a + 8\/3.\nAnswer: 2*(196502079*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12768 (base 10) to base 15\nAnswer: -3bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**3\/9 + 23*h**2 - 128*h\/9 - 28\/3 = 0.\nAnswer: -42, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1094.7 times -1\nAnswer: 1094.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)\/(-4 - -2). Suppose -4*p = 4*f - 524, b = f - 6*f + p + 631. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2)*-6 - 4*(-3 + sqrt(5)).\nAnswer: -10*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*i - 3*v + 4*v, -3*i - 3*v + 36 = 0. Solve i*z + 68 = 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262*c**4 - 306*c.\nAnswer: -3144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-232766\nAnswer: -116383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(78)\/sqrt(2)*5)\/(5*sqrt(3)*-3) + (3*3*sqrt(78))\/(sqrt(150)*3 + sqrt(150)).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j**5\/3 - 5093995*j**4\/3 - 126316759*j**3\/3 - 215755921*j**2\/3 - 113276752*j\/3 - 18743620\/3 = 0.\nAnswer: -203735, -23, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3 - -7 - 2). What is the second derivative of w + d*w + 3*w**4 + 2*w wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 180.4468428 milliseconds?\nAnswer: 0.000000298357875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**2 + 2*u - 1. What is h(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 3. Let u be n(0). Suppose u*c - 9 + 3 = 0. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00144621534 to 6 dps.\nAnswer: -0.001446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 407*y - 1912. What is the thousands digit of b(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110877 not equal to 110855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*(x**(-4)*x)\/x)\/x*x**(-19\/2))**(-10\/3) assuming x is positive.\nAnswer: x**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2520 and 10870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3. Let t(l) = -11 + 6 + 4. What is 2*n(i) - 6*t(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48012.00045 - 48011. Let q = -2 - -1. Let w = q + j. Round w to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63359?\nAnswer: 17, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 + 3*g - 3. Let s be q(-4). Calculate the common denominator of 255\/4*((-5)\/(-6))\/(-5) and (s\/(-20))\/(312\/(-325)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - 3, 0 = -5*x - 5*d + 25. Suppose 4*p = p - x. Which is the third biggest value? (a) 3 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from {v: 5, b: 2, f: 12}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((312\/(-130))\/(64\/200))\/(21\/(-2))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277 (base 11) to base 14.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -1\/6, 52.6, 10, -145, -3?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-81)*1*(-72 - 11). Is -2 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -8*w + 3*w + 9, -3*k = 2*w - 9. Suppose m + 5*r + 6 = 0, -36 = -3*m + k*r - 0*r. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42c774 - 1?\nAnswer: -42c775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12\/19 (b) 105 (c) -0.4 (d) 50 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 53.5, -1233 in decreasing order.\nAnswer: 53.5, 2\/5, -1233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 30*v + 63 = 0. Calculate v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 697119497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + -0.27. Suppose -47*j + 960 = -40*j + 53*j. Which is the biggest value? (a) v (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from mmttmtkbtmmomtb.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -134, -1, 0.2, 0.3 in decreasing order.\nAnswer: 5, 0.3, 0.2, -1, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5 - 397130*q**4 + 4765025*q**3 - 14691440*q**2 - 11913100*q + 79414000 = 0. What is q?\nAnswer: -2, 4, 5, 79414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5732848322 to the power of 1\/3, to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3994728 and -67\/102?\nAnswer: 3994728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/192*(7 + -3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(108) + sqrt(108) + 1*sqrt(108) + -4)**2.\nAnswer: -144*sqrt(3) + 987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 20*q**3 + 10*q**2 + 20*q - 15.\nAnswer: 5*(q - 3)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 < 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*6\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u. Let v(k) = 2*k + 4*k + 4*k - k. Calculate v(r(x)).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 174.7254 years?\nAnswer: 17.47254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 24, 72, 128, 186, 240, 284?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and -10\/99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/214326 and -53\/10206?\nAnswer: 214326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -465654 + -15?\nAnswer: -465671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503 = -5*j + k, -j + 22 = -k - 81. Calculate the remainder when j is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257766097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 20. Calculate the common denominator of (-49)\/(-5) - u\/25 and 27\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(912))\/(sqrt(3) + sqrt(9)\/(sqrt(12)\/sqrt(4))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 35*v + 28. Let g(o) be the first derivative of o**2\/2 + o - 84. What is 28*g(z) - h(z)?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.8 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3\/3 + 120451*r**2 = 0.\nAnswer: -361353, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 + 67*q**2 + 158*q - 264. Let o be p(49). What is o rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 9*h**2 + 4*h + 22. What is l(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzz when four letters picked without replacement from zkzzzzzkzz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 1. Let b(z) be the second derivative of -z**5\/5 + z**4\/3 - 5*z**3\/6 + 66*z. Suppose t = 4*t - 3. Let v(w) = t*b(w) - 3*n(w). What is v(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926273 is divided by 2351.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -36. Suppose -12 - 6 = -3*b. Let c be 148\/z - b\/18. What is the highest common factor of 108 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {m: 2, s: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2 + 5 + sqrt(1331) + 1)**2 + -5).\nAnswer: 704*sqrt(11) + 5560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.8691 + -44697.\nAnswer: -44689.1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*g - 82231 = 0, 14*g - 27409 = -z + 12*g. Suppose -52442 = -13*l + z. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + 2*s, 2*s + 20 = 7*s. Suppose 2*a - w*m = 2, 2*m = 4*a + a - 5. Solve 0 = -4*u - a - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 2)*(-2292)\/(-6). Suppose -15*i = -17*i + b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-16)*12\/50?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0 + 4 + b - 3*b**2 - 3 + b**3. What is r(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.105 - -67.105. Let i = q - 70. Is 0.1 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8048 divided by -5.\nAnswer: 8048\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -126*h + 1. Let a(r) = r + 1. Calculate 2*a(s) - f(s).\nAnswer: 128*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8899430335\/816 + 10906159. Let i = h + 96\/17. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*z + 22 + 9, -17 = z + 4*v. Let k(b) = -9*b + 11 + 7*b - 7. Calculate the smallest common multiple of k(z) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 8*t + 4. Let c be ((-8)\/(-2))\/(2 - 0). Suppose -8 = 3*g - c*g. What is the units digit of o(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183.545 - 0.455. Let v = 282 + t. Which is greater: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((36 - 27) + 26).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6 - 3. Let x be 1988\/d + (-23)\/(-207). Suppose -59 = -5*y + x. Is y less than 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**4 - 41 + 10*b**4 - 74 + 69*b**4 with respect to b.\nAnswer: 332*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, 1\/3, 1, 46471 in descending order.\nAnswer: 46471, 4, 1, 1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.153765 and 0.\nAnswer: 0.153765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*g + 16, 4*h - 4*g - 28 = 12. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - h + 173, -10800*n - 22 = -10799*n + 4*h for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (17 + -8 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + u + 33*u**2 - 1 + 3*u. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 2*z)*(-z**4 - z**4 + 0*z**4) + 28 - 30 + 6*z**5 + 13*z**5.\nAnswer: 17*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -242154321074 and 0.27.\nAnswer: -242154321073.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)*s)\/s**(1\/6))\/(s**(-1\/12)\/s**(-4))*(s**(-2)\/(s*s\/(s*s**(-7))))\/(s*s**(-1))**(-37) assuming s is positive.\nAnswer: s**(-205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -7?\nAnswer: 124\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -52*b + 9. Determine f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/13 + 1160*y**3\/13 + 2330*y**2\/13 - 1160*y\/13 - 2328\/13 = 0.\nAnswer: -2, -1, 1, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.011*0.1027\nAnswer: 0.0011297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 291941 and 1768.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17*k - 35. Let w(l) = -54*l - 108. Let u(b) = -19*n(b) + 6*w(b). Give u(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/16*2 - 21\/(-28). What is the closest to -2\/3 in -19, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6\/7, -3\/64, 11, 0.1, -3\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9030 and -125\/36.\nAnswer: 54180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5466376423 + 1213\nAnswer: 5466377636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + 6) - (-2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 19 + 4 - (-84 + 0)) + -15?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 169*l - 51*l + 51 - 56*l - 62*l - 16*l**2 to the form v*l**2 + a + t*l and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -133*s + 452 + 2740. Solve -4*y = -4*w + s, 0 = -6*w + 8*w - y - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v = 5*z + 234, -283 = -4*v - 3*z. Suppose 4*g - 217 = -3*a, g = 4*a + v + 5. Factor -g + 60 + 25*q**2 + 5*q**3 + 10*q - 42.\nAnswer: 5*(q - 1)*(q + 2)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvr when three letters picked without replacement from {y: 6, v: 5, r: 3, k: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1514810 divided by -1465\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87104 divided by -4.\nAnswer: 21776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 150, 10, -2, -119 in ascending order.\nAnswer: -119, -2, 10, 15, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*4\/56 + 0. What is the third smallest value in 3\/2, -0.4, v?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 385341 and 19173.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175601185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h)**(-5)*(h**(2\/11))**45 assuming h is positive.\nAnswer: h**(255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**2 - 10*c. Let x(d) = -d. Let u be -3*(-12)\/(-126) - 16\/(-7). What is u*n(y) - 20*x(y)?\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 202*n**2\/5 - 2189*n - 75144\/5.\nAnswer: -(n + 8)*(n + 93)*(n + 101)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1 = -4*d. Suppose 2*u + 3 = d. Do -1\/4 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -569\/3 + 202. Let z = 30 + 30. Suppose 0 = -4*x + d - 74, 4*x + z = x + 3*d. What is the common denominator of p and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Suppose 0*h = -f*h - 3. List the prime factors of 3 + -2 - 1\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15504891 divided by -6\nAnswer: -5168297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*k*p**4 + k*p + 8*k - 340*p**4 + 140*p**2 wrt p?\nAnswer: 456*k*p - 8160*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (-35 - -17)) + -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 6 + 7)*(2 + 8 - 3)*(-1 - 2*b + 1).\nAnswer: -812*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**3\/2 + 3*i. Calculate the remainder when y(7) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/(-1)*4\/10. Suppose 0*y - 2*y + l = 0. Calculate the highest common factor of 15 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31220232231 (base 4) in base 13?\nAnswer: -982110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 19*m - 644 = 0. Let y = m + -40. Solve 3*r = -y + 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 6:46 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86.3 + 69. Let u = r + 1.5. Let b = -15.80000127 - u. Round b to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -34. Let y = k - -25.954. Let a = 4.846 + y. What is a rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89046151 rounded to four decimal places?\nAnswer: 0.8905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-1155)*45*(-84)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -3 - 14) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2. Let c(l) = 2*l**2 + 5. Let u(v) = 8 - 35*v - 2 + 35*v + 2*v**2. Suppose 2*h + 3 = -9. Let k(i) = h*c(i) + 5*u(i). What is f(k(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -236, -223, -206?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:17 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2278, -2273, -2266, -2257?\n\"Answer: g**2 + 2*g - 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*v - 5, 4*t + 29*v + 80 = 9*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 10*x - 20. Let u be m(-8). Let a(f) = -f**2 - 2*f + 2. Give a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664664202?\nAnswer: 2, 19013, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 8. Suppose 17*l = 2*l - 5*l. Suppose 15*p + 322 - 1012 = l. What is the remainder when p is divided by x(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 3 + 4 = 0. Let l = j + 8. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (51 + -14)\/((-1)\/(-4)) is divided by 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 6. Let l be (-8)\/4 + 4 + 1. Suppose 2*t = l*t + 5. What is the remainder when f(t) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i - 8. Let b be k(3). Does b = 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025522672667 rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**2 + 2*d + 0*d - d**3 + 7*d + 8. Let x(f) = f**3 - 6*f**2 - 27*f + 9. Let p be x(9). Is j(p) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12173 + 3.12173. Which is the nearest to -3\/10? (a) n (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 661 and 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -155, -255, -373, -515?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18\/7 + -403\/154. Find the common denominator of x and -1*61\/6 + 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28770, 57595, 86430, 115281, 144154, 173055, 201990, 230965?\nAnswer: 259986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 802824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/3*(-8)\/30*(-27)\/16?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 108654744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*m**5 - 6*m**2 + 4*m**2 + 4*m**2 + (m**5 + 0*m**5 - 2*m**5)*(3 - 2 - 3).\nAnswer: 4*m**5 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d**(-2\/7)*d)\/d)*d)**(-5\/3)*((((d\/(d**7*d))\/d)\/d*d)\/d*d)\/(d\/(d*d\/((d**(-2\/15)\/d)\/d))) assuming d is positive.\nAnswer: d**(-362\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 158144*x + 1 - 2*x**3 + 158178*x.\nAnswer: -2*x**3 + 34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -6. Let k(x) = -12*x**3 - x**2. Let m be k(y). Let f(r) = -2*r - 8. Let d be f(-5). Solve -23 = 3*u + 4*w, u - d*u - 3*w = m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwhj when four letters picked without replacement from qwjcnhnhjnjn?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h - 19. Let j be a(6). Solve -j*f - 9 = 2*k, 2*f = 4*k - 0*f - 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-8)*(-9 + 17). Suppose -b = -k + 3*h, 2*k - 6*h = -2*h + 26. Let q = 2 + -2.1. Put -4, q, 1, k in decreasing order.\nAnswer: k, 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 971969 or 971967?\nAnswer: 971967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0c3 + 2c7?\nAnswer: c3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3261219 and 8.5.\nAnswer: -3261210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178*o - 1181*o - 2*f = -2, 4*o + 3*f = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2255182782?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4 and -53\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 11*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (11 - (6 - (0 + 0)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 33343214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57852.8622 seconds to weeks.\nAnswer: 0.0956561875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/18 and -1174*(((-18571)\/(-2644))\/7 - 1) - -4.\nAnswer: 11898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 289024098 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*b - 4, -387*v + 18 = -384*v + 9*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -65. Calculate the greatest common factor of 56 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m**3)*(-34*m**2 - 13*m**2 + 233*m**2) + (-m + 1 - 1)*(-1 - m**4 + 1).\nAnswer: 373*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*i - 57 + 6. Let t be 5\/(-4) - ((-18)\/i + 5). Sort t, -37, -3\/4.\nAnswer: -37, -3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/((-4)\/8). Factor 4 + 2*h**2 - 10*h - 2*h**3 - 6*h**2 + 13*h**q - h**3.\nAnswer: 2*(h - 1)*(h + 1)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 82. Let p(l) = -l**2 + 3*l - 2. Let y be p(r). Find the common denominator of 66\/24 + (-1)\/(-8)*y and -33\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 + 2*n + 1. Let s be l(-1). Let r = s - -9. Solve 0 = r*a - 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, o: 1, g: 10}. Give prob of picking 3 m and 1 o.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, b: 2, n: 5, w: 3, m: 4}. What is prob of picking 1 m, 1 b, and 2 w?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5125 divided by 1025.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 5. Let l(a) = 24*a - 29. Determine -6*l(s) - 34*m(s).\nAnswer: -8*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 757174 divided by 78?\nAnswer: 378587\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(272) + -1)*-1 - sqrt(272))*-1 + 3)*-4)**2.\nAnswer: 512*sqrt(17) + 17472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 851943444 a multiple of 2959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + (37 - 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 - 2*l + 57. What is the tens digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u - 69 = -72*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 14cd9e?\nAnswer: -14cda2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -1. Let g = -1.3 - a. Let z(m) = -m**2 - 6*m + 3. Let r be z(-6). Is g bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76809720 divided by -120\nAnswer: -640081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14442\/19 + -760. Put -2\/3, -16, 0, j in descending order.\nAnswer: j, 0, -2\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4. Let g be l(0). Suppose 32 = 4*s + 3*x, 0 = -3*s + 6*s + g*x - 31. Solve 2*b = s*p - 2, 0 = -3*b - 3*p + p - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 3, -20, -43, -66, -89?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -34, -26, -18, -10?\n\"Answer: 8*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -14*z**2 + 4*z + 6. Let s(v) = -14*v**2 + 5*v + 7. Let o(k) = -5*b(k) + 4*s(k). Suppose -6 = 11*f - 28. Is 9 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -872619997364932 and -0.5.\nAnswer: -872619997364932.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = w + 5. Calculate the remainder when 50 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 28. Determine z(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 11*k**2 + 2*k - 16. Let c be f(11). Suppose 0*x = -3*x + c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*6 - sqrt(504)\/(sqrt(9)*-5))\/((4*(sqrt(72) - 2*sqrt(72) - sqrt(72)))\/(sqrt(9) - (sqrt(144) + sqrt(144) + 2*sqrt(144) + sqrt(144)))).\nAnswer: 1159*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2870409*o. Let t(v) = -v**2. Give b(t(s)).\nAnswer: 2870409*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0, 0.3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2 = -5*m, -2*m - 2*m + 4*t + 24 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 205*f**2 + f. Suppose 9*o + 2 = 7*o. Let z be y(o). Suppose 0 = -2*t + 2*r - r + 138, -z = -3*t + 3*r. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42503455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**8\/2184 - 12*u**7\/455 + 67*u**6\/390 - 98*u**5\/195 + 43*u**4\/52 - 32*u**3\/39 + 5*u**2 - u. Factor v(z).\nAnswer: 2*(z - 32)*(z - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/35)\/(-12 + (-1218)\/(-105)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(7 - 7 + 9*j**5).\nAnswer: -27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -190.\nAnswer: -9\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1114 and -43\/8.\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from ooorv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/60 + 7*s**4\/12 + 3*s**2 + 13. Let k be w(-14). Solve -3*x + d = 0, 2*d = -3*x - k*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567327067.\nAnswer: 37, 97, 229, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o. Suppose x - 254 = -3*u, 5*u - 8*u = 2*x - 253. Suppose 4*y - z + 2*z - u = 0, 0 = z - 1. Let k(q) = 3*q - 21 + 2*q + y. Determine k(a(w)).\nAnswer: 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 47*w**2 - 546*w - 21. What is p(-26)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s**3 - 7*s**2 + s + 26. Let f be r(-4). Let h = 486 - f. Solve -4*c - 25 + 9 = h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-950)\/(-120))*30\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 146 = -15*q - 4 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2090, -2127, -2158, -2183, -2202, -2215?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 3. Suppose -2*o - 9 + 3 = 0. Let c(i) = 3*i + 7. Let k(l) = o*c(l) - 7*f(l). Let y(u) = -2*u. Calculate y(k(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247531545?\nAnswer: 3, 5, 611189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -31023?\nAnswer: -31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/5 (b) 0.06 (c) 1 (d) 592\/5 (e) -0.15 (f) -0.2 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-487)\/(-3896)*((-45)\/60)\/((-1)\/(-72))\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k**2 + k + 1. Let z(s) = -26*s**2 - 2*s + 221. Determine -2*v(q) - z(q).\nAnswer: -4*q**2 - 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 387 or 385?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -23*w**3 - 13*w**2 - 13*w + 13. Let o(s) = 11*s**3 + 6*s**2 + 6*s - 6. Let k be ((-26)\/(-4))\/((-11)\/22). What is k*o(h) - 6*y(h)?\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5.65 times 0.437\nAnswer: 2.46905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-213)\/(-18) + -11 + 1\/(-2). Let c = 33 + -95\/3. Factor -4\/3*j + c + s*j**2.\nAnswer: (j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.434878 - 652274?\nAnswer: -652273.565122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 381*g + 12576. Let v be c(-33). Let p = -5 - -9. Let x = p + -9. Sort -2, -1, v, x.\nAnswer: x, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**12)**(1\/2) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 49.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000128267 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + k = -3960, -w + 249 = 3*k - 543. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34061 - 17.9\nAnswer: 34043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 6*a**2 + 5*a + 6. Let d be g(5). Suppose 15 = -3*m + d*m. Solve -4*l + 20 = -m*y + l, -3*y = l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 6. Suppose 1 + 2 = u - r, 4*r = u + d. What is the highest common factor of 15 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1570 by -3.\nAnswer: -1570\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6151, -0.5, 4\/5, 0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-2\/7)\/h))**(-2\/13))**13 assuming h is positive.\nAnswer: h**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (6 - (-5 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -26\/21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 5*z - 3*z + 11)*(-1 - 4 + 4).\nAnswer: -3*z - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2. Let n be x(2). Let v be (1 - n)\/((-3)\/3). Let k(g) = g**2 + 3*g + 2. Is k(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 3, q: 3}. What is prob of sequence qq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 19*k**2 - 37*k + 1584. Does 12 divide t(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1406419322, 1406419323, 1406419324, 1406419325, 1406419326, 1406419327?\n\"Answer: w + 1406419321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4081582\/5 - 816316. Solve 2\/5*i**3 - r*i**2 + 8\/5 - 8\/5*i = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.06, -0.2, -536, -4\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7622 is divided by 1712?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 - 10*s**2 - 1202*s + 2496*s - 1291*s.\nAnswer: -20*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/3)\/((-17)\/306). Suppose -5*t = -l - 1820, 0 = -22*t + z*t + 4. What is l rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. Let x be 4\/(p\/6*3). What is the greatest common factor of x and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -51 - 9. Suppose 2*x = 6*x - z. Suppose k = -3*f + 6*k - 13, x = k. Solve -l - f*l = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 3*v**3 + 5*v**2 + v + 4*v**3 - 4*v**3 in the form k*v + y + q*v**3 + a*v**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 996763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3 less than 304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1416, -2836, -4256, -5676, -7096, -8516?\n\"Answer: -1420*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/22*(9 - -2)*-1. Suppose 61 = -4*f + n - 199, -n - 124 = p*f. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14724*k - 1914146. Give w(130).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + 6*y**4 - 4*y**4)*(3*y - y - y) + (y**3 - 3*y**4 - y**3)*(-y + 2*y + y) + 2*y**5 - 11*y + 11*y.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3927904 (base 10) to base 5\nAnswer: 2001143104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848944 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4\/17, -3, 5?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/2471, -2, 0.041, 0.3.\nAnswer: -2, -4\/2471, 0.041, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 26 = -3*k, 4*k - 6*a + 8*a = 32. Solve -4*o + k*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -59. Suppose 1554 = h*p + 2*p. Let b = p + -184. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 d when three letters picked without replacement from {d: 1, m: 1, e: 1, u: 1, y: 9, w: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, e: 3}. Give prob of picking 2 e and 1 o.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 1 (c) 7\/5 (d) -3\/8 (e) -7.511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -2 - (-24 - 2)\/(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -171, -255, -339, -423?\n\"Answer: -84*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -31133320121 (base 4) to base 14\nAnswer: -68174d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*z + 10, -z - 5 = a - 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 860808979.0000063 - 860808936. Let l = -126 + 83. Let s = x + l. Round s to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-132)*63\/(-216)*(-264)\/42?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 - -20102?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 15*y + 3*l = 3, 57*l - 2 = 2*y + 55*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10645386.\nAnswer: 2, 3, 701, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16110021*p**5 - 297*p**2 + p - 10697.\nAnswer: -966601260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-13) - 4\/(-26). Suppose -3*z + f = 51. Let j = -15 - z. Solve -j*h = 2*t, -t - h = 3*h - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -219, 2\/267, 0.2?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 32) + -1 + 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -213. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d = 41*d + 340. Differentiate -106 + 38 + d*j - 9*j wrt j.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**5\/7 - 393*m**4\/7 + 4440*m**3\/7 - 18852*m**2\/7 + 34464*m\/7 - 3264 = 0.\nAnswer: 2, 4, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8*k + 4*g, 4*k + 2*g - 10 = 0. Suppose -k*c + 27 = -5*m - 63, 58 = 3*c + m. Suppose 0*a - c = -a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -8 - (-27 - 0). Let c be (4\/14)\/(b\/63). Solve -c*y + 0 + 1\/3*y**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4272 = 221*a - 500*a + 924 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 = -7. Sort 0, -1, -2, o.\nAnswer: -2, -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 8*u**2 - 5*u + 10. Let f be t(-8). Suppose -83 + f = -3*n. Solve 3*g - n = 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.25032\nAnswer: 0.50064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3195 and 6.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgpqj. What is prob of sequence pvjg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = s, -4*k - 2*s + 19 = -23. Let z = 10 + k. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(156)\/(sqrt(12)*-2) + (-1 + sqrt(117))**2).\nAnswer: -472 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k - 1. Let m be ((-5)\/5 + -2)*-1 - 2. Let h(r) = -1. Calculate m*d(n) - 3*h(n).\nAnswer: -11*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = s, 10 - 4 = 4*s - 2*n. Which is the nearest to 0? (a) -4\/9 (b) s (c) -1 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906130 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 24, -0.1, 3, 0.3, -33103?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**2)**(-28)*(p**(1\/2)\/p**(1\/6))\/(p\/p**0*p)**(-5\/6) assuming p is positive.\nAnswer: p**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:00 PM?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 10. Let g be 11\/5 - w\/10. What is the units digit of (-5)\/g*(1 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21019\/122 - -318\/61. Let d = -1439\/8 + z. Calculate the common denominator of d and 27\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 - -3) + 1*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*n = 22, -t + 2*t - 5*n - 18 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 7*r + 3*r - r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/9, 0.3, -4\/9, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316441.\nAnswer: 7, 61, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -1 - 0)*(-25)\/3. What are the prime factors of 0\/2 - (z + -82)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from qjyhijx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 37*k**5\/60 - k**4\/8 - 17*k**3\/6 + 24*k**2. Is i(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220246 = -41*d + 234112 + 192212. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2 - 244*r + 243 = 0. What is r?\nAnswer: 1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2392*m + 1489*m + 1282*m.\nAnswer: 5163*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by 229260\nAnswer: 59\/76420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**3\/3 + 11*w**2\/2 + 15*w + 3. Let m be f(-10). Solve 15 + 5 = m*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -20*o - d - 3, -8 = -4*d. Let n = -14 + 18. Sort n, -12, 2, o.\nAnswer: -12, o, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865493 (base 11) in base 7?\nAnswer: 35550262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2149 + 2161 = -2*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/14)\/(3356\/(-393491)))\/(-2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 2*u**5 - u**5 + 2*u**3 - u**2 + 2*u**5 - u**2 + 0*u**5 + 5*u**5 - 5*u**4 + 5*u**4 + (-2*u - 4 + 4)*(-u + u + 2*u**4).\nAnswer: 2*u**5 + 2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n - 91. Let y = 173 - 179. Let l be t(y). Suppose -4*d - 2*h + 250 = 0, 5*d - 330 = -3*h + 4*h. What is the greatest common divisor of l and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165325 and 11900.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-14) + (1235\/(-39))\/(-5)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuttttyyuuuy. What is prob of picking 1 u and 1 t?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -9a414?\nAnswer: 9a417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h**3 - 63*h**2 + 63*h + 9. What is x(-6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.148895 - -0.21428. Let o = v + -0.0652. What is o rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*i**2*x - 591821*i**2 - 1509*i*x**3 with respect to x.\nAnswer: 31*i**2 - 4527*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 268.7931t?\nAnswer: 268793100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -4*i - 1\/3*i**3 + 0 - 1\/2*i**2 + 1\/2*i**4. What are the prime factors of x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 10*f**2 - 24*f + 3. Calculate o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 16 = -3*t - 13*r + 21*r, 0 = -5*t + 24*r + 96 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1443785\/405264 - 2\/25329. What is the common denominator of a and -61\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 0.12. What is the nearest to j in -1\/2, -2\/9, -0.69?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*o + 11, -6*o + o + y + 13 = 0. Suppose -10*s = -o*s - 35. Sort -11, s, -2 in increasing order.\nAnswer: -11, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2 = -6*k. Let f be ((-12)\/(-30))\/(k\/(-20)). Factor 86*t - 2*t**f - 2*t + 20*t**3 - 72*t**2 + 24*t - 54.\nAnswer: -2*(t - 3)**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 454612300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2176 = 3*f + f. Suppose -2*g = 2*g + f. Let h = g - -196. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, -5, -8 in increasing order.\nAnswer: -18, -8, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*(-3*b**2 + 0*b**2 - b**2) - b + b + b**3 + 2*b**2 - 2*b**2 - 2*b**3 + (b - 2*b - b)*(-2*b**2 - b**2 + 5*b**2).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -106589*y + 647. Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - o. Let z be u(-1). Let p be 745\/(-35) - (-4)\/14. Let r = p + 27. Is z at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Suppose -j*r + 5*k + 25 = 0, -k + 6 = r - 2*k. Calculate the common denominator of 77\/20 and (3\/r)\/(36\/(-45)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-11) - 572\/(-2 + -42)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 29*s**3 + 46*s**3 - 19*s**3)*(-5 - 1 + 4) as f*s + l*s**2 + x + g*s**3 and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39028 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1291728 divided by -16?\nAnswer: 80733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 >= 5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -485 or -10?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 322 in 4, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*f**2*m - 2*a*f*m - 13*a*f - 2*a*m - f**3 + 15*f**2*m + f*m wrt f?\nAnswer: 4*a*m - 6*f + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1208 - -1218. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/130 and -53\/801745?\nAnswer: 20845370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 1210028?\nAnswer: 1210028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -349b304b + 0?\nAnswer: -349b304b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*y)*((-4 + 2 + 3)*(2 - 1 + 4) + (0 + 0 + 1)*(-1 + 4 + 17)).\nAnswer: -75*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1258, 1290, 1348, 1432, 1542, 1678, 1840?\nAnswer: 2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 860 - 856. Differentiate n*p**3 + 171 - 6*p**3 + 61 + 97*p**2 + 50 wrt p.\nAnswer: -6*p**2 + 194*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 1248?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60471212?\nAnswer: 2, 179, 84457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/6)\/((-11)\/(-231)))\/(-7*(-1)\/49)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 701 divided by -56265\nAnswer: -701\/56265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 372, 328, 326, 366, 448?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-40)\/(-144)*-6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0*n**2 + 1\/3*n**4 + 0 + 24*n + 0*n**3. Let h(f) = -14*f**2. Determine h(c(i)).\nAnswer: -224*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 v when four letters picked without replacement from zvzvvzzmmzvzvzvvmmvm.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023473 (base 9) in base 7?\nAnswer: -4436106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 170*f**2 - 5*f - 1. What is the remainder when z(1) is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 700 - -811. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - -8 - (37 - 28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/12 - 5*z**3\/6 + 3*z**2 + 3*z. Let c be t(4). Let u be -4*((-27)\/6 - 1). What is the greatest common factor of u and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2005 (base 6) in base 4?\nAnswer: -12311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Let v = -7 + t. Let s = -2.9 - v. Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1149 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 11) in base 3?\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 9, 20, 37?\n\"Answer: 3*w**2 - 4*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-396)\/(-405)*66\/121?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-95)\/(-304)*((-24)\/15)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 4 - 4)*(-11 - 6*h + 11 + (-h - h + 0*h)*(-10 - 2 + 2)) as o + x*h + r*h**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 49*t - 106. Let w(n) = 9*n + 1. Let v(g) = h(g) - 4*w(g). Determine v(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 21, 56, 125, 240, 413, 656?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**2\/2 + 18*c - 4. What is the units digit of y(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 100121022?\nAnswer: 100121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khkhhkh. Give prob of picking 3 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -224.3837 and -23.\nAnswer: 5160.8251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(2 - 72\/32). Suppose -4*f = 2*s - 6*f - 4, w = f. Which is the third biggest value? (a) -1\/39 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -41. Suppose z*a = -4*c + 832, c - 4*a - 1076 = -4*c. Suppose c = 6*t - 2*t. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-35))\/(-1*72\/(-63))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2\/5 - 177*n\/5 + 174\/5 = 0.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 258467596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 6*b**2 + 5*b - 6. Let i = -662 - -250. Let x = i - -432. What is the remainder when o(5) is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 20 = -f. Suppose f = -m + 2*m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 14) to base 10\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985020 and 1440.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -14065, -0.4 in increasing order.\nAnswer: -14065, -0.4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, h: 10, q: 2, g: 1}. Give prob of picking 2 e and 2 q.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 6. Let w be g(7). Suppose -2 + w = m. Calculate the remainder when 3 is divided by 0\/2 + (1 - m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -13*v + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1252317 + 10031327\/8. Let x = 770 + -2365. Let t = x + i. Calculate the common denominator of t and -39\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5034)\/28526)\/(78\/(-68)) - 116\/585\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550081 - -867.46?\nAnswer: 1550948.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 75, 4\/3, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:39 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:50 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 - 14*i - 7. Determine d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 132496*y**5 - 9403576*y**4 + 18026033*y**3 + 500545*y**2 + 3450*y = 0. What is y?\nAnswer: -5\/364, 0, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 0.2, 0.0942, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h - 56*h - 63*h + 172*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293754846 divided by 42?\nAnswer: 6994163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 = -1028*o + 983*o - 3*y, 21 = -3*o + 4*y for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4484*a**3*u + a**3 + 322*a**2 + 2*a with respect to u.\nAnswer: -4484*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452591444.\nAnswer: 2, 31, 3649931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(-10\/13)\/(k**(2\/17)\/k**(1\/3))*(k**2)**(-2)*k\/k**4*k*k*k**(-5)\/k*k assuming k is positive.\nAnswer: k**(-6691\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 3, a: 1, t: 3, r: 3, g: 4}. Give prob of picking 3 t.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h**2 - h - 3. Let j(z) = z**2 - 8*z + 12. Let c be j(7). Is f(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from wiwiiw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = 5*a, 36 = 5*v - 2*a. Suppose -c - 2*y - 3 = 0, 2*c + 4*y - v*y - 18 = 0. What is the units digit of c + (-5)\/(15\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129.8101 + -0.2899. Let w = -130 - v. Sort 2, -2\/3, w in decreasing order.\nAnswer: 2, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 6\/2 + 1. What is the second derivative of -g + 5*g**m + 4*g - 8*g + 4*g wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 12 = 21*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9287491 to the power of 1\/2, to the nearest integer?\nAnswer: 3048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364965 (base 12) to base 15.\nAnswer: -125782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, a: 7}. Give prob of sequence ahaa.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 31*l + 109 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*b**2*i + 399*b**2 - 2*b*i + 3*b - 1421*i wrt b.\nAnswer: -38*i + 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5*o - 25, -251*o + 249*o - 14 = -2*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 13*t**2 - 16*t + 1. What is the remainder when n(11) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6730*t**2 - 3938 + 6688*t**2 + 3938.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1325*a + 619*a - 2679*a + 0 + 0 - 1 to the form h*a + n and give h.\nAnswer: -3385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 312461.\nAnswer: 6\/312461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.6, -99, 5, 0.6, 3\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 63*b + 153. Let p(g) = 5*g**2 + 61*g + 154. Let w(d) = -4*f(d) + 3*p(d). Let w(m) = 0. Calculate m.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2 - 30*z - 6 - z**2 + 30*z. Let v(c) = -c. Determine p(v(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:34 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d + 34*d - 8*d)*(4*d**3 - 5*d**3 - d**3) as g*d + o*d**4 + r*d**2 + b + k*d**3 and give o.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1809.84 days to minutes.\nAnswer: 2606169.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104 and -16502.\nAnswer: 1716208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4190, -5, -2, 3, 2, -146 in descending order.\nAnswer: 4190, 3, 2, -2, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 249 and 93?\nAnswer: 7719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g + 88*g - 1130 = -68*g. Let i(u) be the first derivative of 1\/3*u**3 + g - 7\/2*u**2 + 5*u. What is i(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.886101629 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 482 - 12. Let n = -465 + j. Solve -n*z = 4*d + 6, z + 2*z - 2*d - 14 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 434\/49)\/(-2 - -1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {t: 6, g: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5801605 and 1858.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(35\/(-10))*2\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 10 - 54 - 19*i + 31*i + 3 + 51.\nAnswer: 4*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*(-165)\/(-110). Let v(g) be the first derivative of 9 + 1\/9*g**3 + t*g**2 - 2\/3*g - 1\/4*g**4 + 1\/15*g**5. Suppose v(f) = 0. Calculate f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/5)*o\/o**(-4\/3))\/((o*o\/((o*o**(-4\/9)*o*o*o)\/o))\/o*o**(-8\/7)) assuming o is positive.\nAnswer: o**(1963\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 59?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2. Let l(c) be the third derivative of -c**5\/20 - 5*c**4\/24 - 8*c**2. Let z(y) = 16*y**2 + 28*y. Let r(d) = 28*l(d) + 5*z(d). Calculate r(f(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 2*s - 4, -52*m + 54*m - 2 = 2*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.3359 - -13.389.\nAnswer: 0.0531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360290*x**2 - 721013*x**2 + 360392*x**2.\nAnswer: -331*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 10*s = 4*p - 4965, 4*s = -2*p + 2514. What is the remainder when p is divided by 317?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*h**2 + 14*h**2 + 20*h**2 - 358*h**5 + (-2*h**3 - h**4 + 2*h**3)*(0*h - h - h).\nAnswer: -356*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.2258 and -81.7.\nAnswer: -78.4742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 768\/(-8880)*270\/(-432)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1417*o*s**3 + 3*o*s**2 - 47*o*s + 59*s**3 + 14*s**2 + 2*s - 8 wrt s.\nAnswer: 8502*o + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 539*b - 59. Is x(3) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 6 = -5*p, 0 = 4*v + 3*p - 81940. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741795515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 41, 31, 17, -1, -23?\n\"Answer: -2*d**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 15, 41, 77?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(513)*1 - sqrt(513) - (sqrt(513)*-1*1 + sqrt(513)))\/((sqrt(360)\/(sqrt(24)\/sqrt(2)))\/(sqrt(40)*1)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 16406?\nAnswer: 16404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 14. Let d = 18 - h. Suppose w = -w + d. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*c - 84, -108 + 28 = 5*r + 5*c. Let b be r\/210*3 - 60\/(-259). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30084 is divided by 523.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.157225 and 3?\nAnswer: 3.471675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 - 2)*(-3*w - 1 + 1) + (4 + 0 - 5)*(14*w + w - 5*w))*(1 + 3 - 3).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**2)\/(p**(-13\/5)\/p)*p**19*((p*p**(-19)*p)\/p)\/p)**(-11\/4) assuming p is positive.\nAnswer: p**(-143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from dbdxdxd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14918\/13 + -14910\/13. What is c in 2\/13*c**2 + y*c + 0 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.9 in -183.96, -0.01, -2, -2\/9?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 8*r - 5. Let c be l(-7). Suppose -v + d + 86 = -13, 174 = c*v + 4*d. Let u = -31 + v. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 163. What is the nearest to -1 in 2\/3, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 4*u - 0, 0 = -u + 2*i + 8. Suppose 0 = -4*l + 10 + 22. Solve u*h + 2 = -l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/(-16) + (-7 - -3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572616899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -539 (base 10) to base 3\nAnswer: -201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1216968, -2433993, -3651020, -4868049?\n\"Answer: -b**2 - 1217022*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let j be (-88 - o)\/(1\/9000). What is j rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146.6364 to 0 dps.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329066.\nAnswer: 2, 3, 47, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206883?\nAnswer: 3, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 95\/(-7) - (-36)\/63. What is k rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 137828202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (-4 - -31 - -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8752 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -164985 and -144?\nAnswer: 23757840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*c = 117, 2*c = -4*q + 4*c - 122. Let k be -75*(-5)\/(q\/(-8)). Let t be ((-6)\/15)\/((-4)\/k). Solve 3*f - t = -2*f + 3*n, 4*f = 4*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*q**2 + 40 - 80 + 40 + 225*q**2 in the form k + r*q**2 + t*q and give r.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*p - 32, 4*p - 2*x = x + 59. Suppose 0 = 4*i + 5*q + 604, -4*q = 3*i - q + 456. Does 13 divide (i\/p)\/((-4)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 61844174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -94, -201, -362, -583, -870, -1229?\nAnswer: -1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnvpnnnpnvnnnp. What is prob of sequence ppvv?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30110 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-308) - (-48)\/(-77)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) 88 (c) -2.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242004923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 342345826857705*l - 342345826857705*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -527930 and 22.638.\nAnswer: -527907.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(570\/(-12))*-15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - -0.06986. What is d rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6027297?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5293.85 times -115?\nAnswer: 608792.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)\/k**(-1\/7)*(k**(2\/29))**(-1\/31) assuming k is positive.\nAnswer: k**(-62045\/6293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*g - 4*i - 2, 0 = 5*i - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -151*n + 665. Determine g(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68280?\nAnswer: 2, 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Let i be -3 - (0 + (3 - 2)). Sort -3, i, u in decreasing order.\nAnswer: u, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1069a89 + -3?\nAnswer: -1069a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 318*f**3 + 993*f**2 - 1308*f.\nAnswer: -3*f*(f - 109)*(f - 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3626947 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 142, 138, 134, 130, 126?\n\"Answer: -4*f + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(8\/14*21\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -21. Let l = -5 + i. Solve 5 = -h + 5*t + 18, -h = 3*t + l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*v + 24 + 7 = 0, 4*d = -4*v + 204. Suppose 3*y - 7*y + g = -46, -d = -3*y - 5*g. Suppose 9*u + y = 12*u. Solve -u*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose 3*l + w = -0*d - 2*d, d - 4 = -4*l. Factor -22 - 5*o**2 - l*o**2 + 4*o**3 + 23 + 2*o.\nAnswer: (o - 1)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 61*l + 26*l - 56. Which is the closest to -2? (a) l (b) -3\/5 (c) -54.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158624 + 158630 + 113*y**3 + 359*y**3.\nAnswer: 472*y**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -12. Suppose 7*o + 20 = 27. Let d(j) = -j + 2. Let l be d(4). Put l, n, o in increasing order.\nAnswer: n, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -27125.\nAnswer: -27124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 - 1087*c - 11200. Give m(-261).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from dzvspvdpzsdsdsdzvsv?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + u**3)*(2*u + u + 0*u + (5*u - 3*u + 7*u)*(-4 + 2 - 3) + (6*u - 4*u + 0*u)*(-1 + 1 - 1) - u - 1 + 1).\nAnswer: -45*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.157 + 24. Let u = o - 1.573. Round u to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2713233 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnonnnzmzhnnw. Give prob of picking 1 z and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + -1*sqrt(19) - sqrt(19)).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12330 and 44250?\nAnswer: 18186750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t - t + 7*t + (-16 + 7 + 17)*(4 - 2 - 1)*(14*t + t - t + t + 3*t - 5*t + (-2 - 3 + 3)*(-4*t + t + t) + 1 - 2*t - 1 - 2*t - t + 5*t - 1 - 2*t + 1).\nAnswer: 122*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**3 - 5*f - 3*f + 5*f**3 + 5*f + 4*f. Let j(m) = -174*m**4 - 4*m**3 - 4*m - 263. Let l(g) = j(g) + 4*p(g). Differentiate l(x) with respect to x.\nAnswer: -696*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 341022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/220820 and 61\/1600?\nAnswer: 17665600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -4*z, -2*q - 2 + 7 = -z. Solve -2*r = -q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3447772\/9 - 53754083\/126. Let y = -43563 - h. Let r = y - -57\/2. Which is the fourth smallest value? (a) 4 (b) 0.5 (c) -0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 614 + 624 = -5*n, -5 = 5*n - 2*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let b be j(-6). Suppose 0 = 3*k - b*k. Let u be ((-1)\/(-3))\/(6130\/(-5517)). Is u < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2403, 4825, 7263, 9717, 12187, 14673, 17175?\nAnswer: 19693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2901 - 1003*n - 291*n + 2903 to the form i*n + m and give i.\nAnswer: -1294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (((-35)\/(-10))\/(-7))\/(1\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -13 + 6 - 1) + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 103204?\nAnswer: -103212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-627)\/(-2) - (-7)\/14. Let t = -2194\/7 + v. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05078 - 4.04758. Let v = -4 - t. What is v rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((12\/(-3495))\/(-1))\/((-2)\/5). Let r be 3*(1 - 16\/12)*-10. Suppose -r*n = -n. Are t and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**3 + 5*v - 3. Suppose 12*b + 19 = 43. What is the units digit of l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 234097.74 microseconds?\nAnswer: 0.003901629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/6, -1501, -5, 0.3 in descending order.\nAnswer: 1\/2, 0.3, -1\/6, -5, -1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*f**5 - 876*f**4 - 6048*f**3 - 12636*f**2.\nAnswer: -4*f**2*(f + 9)**2*(10*f + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -8. Is (5\/(-15))\/(l\/705) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5 + 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 + ((-8436)\/95)\/(-6). Which is the second biggest value? (a) -1 (b) -2 (c) f (d) -0.04 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/4 - 220865*l**2\/8 + 165647*l\/4 - 110431\/8 = 0. What is l?\nAnswer: 1\/2, 1, 110431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let w(f) be the second derivative of 21*f - 1\/6*f**3 - 1\/12*f**4 - f**2 + 2. Calculate 3*g(y) - w(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 953*p + 86 - 176 + 801*p.\nAnswer: 1754*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -114, -193, -272?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 533030, 2 in descending order.\nAnswer: 533030, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 73*j + 32*j = -115 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 5. Let i(p) = -p**3 - 7*p**2 + 3*p + 16. Let d = 58 + -65. Let r be i(d). Let a(l) = 3*l + 9. Let u = -3 + 6. Calculate r*z(y) + u*a(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2303, 4604, 6905, 9206?\n\"Answer: 2301*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1144 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5 - 0, -z = c - 4. Let v be 14\/(-5) - c\/(-5). Let t be (-1)\/2 - -1 - (-71)\/71. Put t, v, 1 in descending order.\nAnswer: t, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9806, -0.3, -2, 0.1, -72?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6616919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/409604 and 37\/16896165.\nAnswer: 67584660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 - 25*u**2 + 3*u + 4. Determine k(7).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-49)\/(-14) + -4 - (-507)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/12 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7bc018 (base 16) in base 13?\nAnswer: -18ac5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.818 + -0.192. Let j = 0.59 - 0.6. Let y = j - w. What is the second biggest value in 0.02, y, -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*k = -32, -4*k - 583 = 8*p - 543 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0 + 0 + p - 2*p + 3*p + (3*p + 2*p - 3*p)*(2 - 2 - 2) - 3 - p + 3 + (-p - 2 + 2)*(1 + 3 - 2).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = -7. Suppose -x - 49 = -i*f, -3*f - 4*x = -9 - 2. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 3*z**2 + 3*z + 4. Let x be s(4). Let n(r) = r + 1. Let b be n(x). What is the first derivative of 3 + b + 2*t**2 - 5 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:16 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*v**2 - 5*v**2 + 7*v**2 + (v**2 + 1 - 1)*(-2 + 0 + 4).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Suppose 5*t - 30 - 15 = -4*u, -s*u - 3*t = -35. Suppose 4*y = -8, 0*y - 10 = -u*x - 5*y. Which is greater: 7 or x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 0.2, 44429 in descending order.\nAnswer: 44429, 0.2, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 1113, 14 in increasing order.\nAnswer: -18, -4, 14, 1113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964339966480 take away -4?\nAnswer: -1964339966476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose y*u - 78 = -u + 2*c, -3*c = 15. Calculate the remainder when 32 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/266 and ((-29)\/3)\/((-20)\/(-15))?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2574660 by 5.\nAnswer: 514932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4, -1.9 in ascending order.\nAnswer: -1.9, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13587, -8, 9 in increasing order.\nAnswer: -13587, -8, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167835 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-888)\/(-576)*(-6)\/26 and -79\/344?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11672227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 479.3 + -479. Which is the third biggest value? (a) v (b) 0.1 (c) 1364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/4 + k**4\/3 - 6973*k**3\/6 + 6*k + 384. Find the second derivative of g(l) wrt l.\nAnswer: -30*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let l(x) = -x - 5*x + 2 - x**h + 6*x. Suppose 6*s + 2*f = s + 8, -4 = 2*s - f. Calculate l(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (6 + 172) - (-54 - -17).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*f - 12. Let n be 1\/2*(7 - (-2 - -7)). Factor -3 - 6 - n + 15*t + 19*t**f + 6*t**2.\nAnswer: 5*(t + 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 288739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -662, -900, -1318, -1976?\nAnswer: -2934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*z - 588*z - 5*z**2 - 72*z + (-2*z - 2 + 2)*(9*z - 4*z + 0*z) to k*z + r*z**2 + f and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.9 and 1569.\nAnswer: 1573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 1\/60*u**5 + 0*u - 8*u**2 + 0*u**4 + 0*u**3 + 0. Let i(f) = -8*f. Give b(i(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 42 = -5*v + o, v - 13 = -5*o. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 6:38 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/5, -12, -32\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2144, -4286, -6428?\n\"Answer: -2142*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8495 divided by -5?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3 - (-9 + -33)) + (-998 - -1016)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 - 2*r**3 + 2*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -2533\nAnswer: -28\/2533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**37\/(v*v**(1\/18)))\/(v*v**(-1\/13)*v\/(v**(-9\/8)\/v)) assuming v is positive.\nAnswer: v**(29855\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 5, 13, -5 in increasing order.\nAnswer: -5, 1, 5, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 4)\/(-4 + 3). What is the closest to h in 53, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21674556?\nAnswer: 2, 3, 23, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m + 154*m = -119296. What is m rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 - ((-6)\/(4*36\/(-24)))\/(4\/(-44))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(96)\/sqrt(64))\/(sqrt(96)\/(sqrt(36)\/sqrt(3))).\nAnswer: sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2217201 or 0?\nAnswer: -2\/2217201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/20)*t)\/t*t*t*(t*t*t**(2\/47))\/t*t*t assuming t is positive.\nAnswer: t**(5539\/940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z + 51 + 51 - 102.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 84*l - 265. Determine t(-76).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746 a factor of 2668824048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3046\/5 + 613. Let g = p + -17\/5. Factor 0 + 0*u - g*u**4 + 2\/5*u**3 + 0*u**2.\nAnswer: -2*u**3*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**9\/72 + n**7\/14 - 23*n**5\/15 - n**2 + 181. Find the third derivative of h(z) wrt z.\nAnswer: -840*z**3 + 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07192 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.3, 0, 2\/13, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 2, d: 7}. What is prob of picking 1 d and 1 a?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 3. Let f be 40\/(-7) - 40\/140. Let t be 9 + (f - -3 - 0). Let z(n) = -3*n + 15. Let a be z(t). Calculate r(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/3 - 376*u\/3 + 17672\/3 = 0. Calculate u.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 498242*a**4 + 27*a**3 + 10*a**2 - 81569 wrt a.\nAnswer: 11957808*a + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/4*62. Let b be h\/(-12) - (-1)\/4. Let i = b - 3. Solve -6 = -2*g - 4*r - 0*r, i*r - 11 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2757 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 q, and 1 d when four letters picked without replacement from dqwwwddqfqqqqfqqdqq?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1479*s**2 - 3*s + 5649. Let z(i) = -1972*i**2 - 4*i + 7532. Let n(w) = -9*t(w) + 7*z(w). What is the first derivative of n(a) wrt a?\nAnswer: -986*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 46. Solve u*p - 6*p + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90277, -192112, -293947, -395782, -497617?\n\"Answer: -101835*x + 11558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9975571901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0960983 litres in millilitres?\nAnswer: 96.0983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -278.9758 - 0.0242. Let q = o - -278.99998808. What is q rounded to 7 dps?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*d*l**3 + d*l - 62*l**3 wrt d.\nAnswer: 44*l**3 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07863457 to 3 dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1878.88\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5048 + -5047.87. Let j be (-143)\/(-495) + 4\/(-10). Which is the third biggest value? (a) j (b) x (c) -3\/8 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 563? (a) 1\/3202 (b) -0.1 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = -231. What is the remainder when 56 is divided by g\/(4*(-5)\/10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**2 + 3*u + 6*u**2 - 3*u in the form o*u + l*u**2 + f and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 525\/(-200) + (-247248)\/(-89216)\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*c - 2877 - 1036. Calculate the remainder when c is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2, 1, -2256\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170679787 + 560081150 = 13*x + 18620937. Round x to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -27021?\nAnswer: 26993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -96, -401, -912, -1629, -2552?\n\"Answer: -103*t**2 + 4*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 15. Let j(k) = -3*k**3 + 3*k - 1. Let u be 4*6\/(-16)*-2. Let m(w) = 5*w - w - 3*w**3 - 2*w. Determine g*j(l) + u*m(l).\nAnswer: -3*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1534297.6 times 3\nAnswer: -4602892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 24129005*t - 48258030.\nAnswer: 5*(t - 2)*(t + 4825803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -413 + 583. Suppose -2*w + z = 2*t, 2*t - 90 = -w + 6*t. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2111*r**3 - 44*r**2 + 147*r + 377 wrt r.\nAnswer: 12666*r - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/5 + -73\/10. Let m = -86836\/7 + 12405. Which is the nearest to t? (a) 1 (b) m (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwtttutwwtuwtttu. Give prob of picking 3 u.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1104, 2212, 3320?\nAnswer: 4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2*z + 6. Let g(d) = d**2 + d + 5. Let s(c) = 3*g(c) - 4*o(c). Let t be s(-4). Are t and -5 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 65635?\nAnswer: -65636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66\/13 + -568\/117. Let m(f) = f**2 - f + 3. Let c(d) = d**2 - d + 4. Let b(y) = 2*c(y) - 3*m(y). Let i be b(1). Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14 = -0*h. List the prime factors of h\/((4\/(-60))\/(-1)).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964457118 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -248, -1 in descending order.\nAnswer: -1, -90, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 2732*i**2 + 38395*i + 134554.\nAnswer: -(i - 2746)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31\/((-341)\/(-66)) - -1*6893?\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 16, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 1. Let t be g(2). Let u = t + 11. Calculate the remainder when 29 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 2680 = q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a factor of 3179735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.57 and -0.03.\nAnswer: 0.0771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2805149 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -2c?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 1. Let k(h) = 7*h**2 - 12*h - 6. Let q(f) = -k(f) - 6*o(f). Let c(r) = 5. Let x(y) = -y**2 + 6. Let m(z) = -6*c(z) + 5*x(z). What is q(m(g))?\nAnswer: -175*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 458\/11 - (4953\/143 - 35)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 2100c?\nAnswer: -2100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 133*d**2 - 56*d + 56. Let p be 15\/(-36)*-4*18\/3. Let a be ((-8)\/p)\/(1*3\/(-210)). Let c(i) = 7*i**2 - 3*i + 3. Calculate a*c(w) - 3*y(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 19*j**2 + 103*j - 1028. Give y(9).\nAnswer: 1438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216.01 - -217. Let g = 0.21 + n. Let y = g - 1.199941. Round y to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 12 + -3 + (-4 - (32 - -9)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -73699 divided by -5.\nAnswer: 73699\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of ((-3)\/(-7))\/1 - (-4552702)\/539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/270 and 79\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 - 10786*j + 44654300\/7.\nAnswer: 2*(j - 37150)*(j - 601)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*(-8 - -7 - -11)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4510*h**2*q**3 - 8*h**2*q + 1578*h**2 - 2*h*q + 2*q**4 wrt q.\nAnswer: -27060*h**2*q + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 45490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16152*i + 8066*i + i**2 + 8086*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761739465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27526 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**2 - 96*i + 100 = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11*t. Let i be (4\/7)\/((-2)\/(-7)). Let x(k) be the first derivative of 10*k - 15*k + k**i + 28 + 5*k. Calculate q(x(h)).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 + 23*j**2 - 43*j + 4. Let b(p) = -p**3 + 14*p**2 - 28*p + 3. Give -8*b(x) + 5*i(x).\nAnswer: -2*x**3 + 3*x**2 + 9*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**3 - 6*z**2 + 4*z + 3. Let u(c) = 20*c**3 + 17*c**2 - 12*c - 8. Give -17*i(s) - 6*u(s).\nAnswer: -s**3 + 4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 11*p - 1. Let n(z) = 10*z**2 - 54*z + 6. Give -11*l(a) - 2*n(a).\nAnswer: 2*a**2 - 13*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2 + 6*f + 9. Suppose 8*j + 23 = 15. Let r(x) = x**2 - x - 1. Give j*o(q) - 5*r(q).\nAnswer: q**2 - q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 + 5*g - 2. Suppose d = -5*s + 26, -6 = -4*d + 3*d - s. Suppose -3*u - 14 - d = 0. Is 24 a factor of y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4199 - 668?\nAnswer: 3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9 = -2*h, 0*h - 5*w - 33 = -3*h. Suppose m = 5*x + 2, m - 8 - h = -x. Factor 2*f**2 - 9*f**2 - 12*f**2 - m*f**3 - 3*f + 4*f**2.\nAnswer: -3*f*(f + 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92349035 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 2*j = -4, 0 = 3*g - 3*j - 24. Let m(y) = -y**3 + 6*y**2 - 4*y + 2. What is m(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5687042, -5687050, -5687056, -5687060?\nAnswer: -5687062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a week in hours?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 23\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -480233 (base 9) to base 12.\nAnswer: -11b210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 39*g. Let b(h) = -2*h + 289. Calculate x(b(n)).\nAnswer: -78*n + 11271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 6?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6274058 and 1176.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*u + 5*u + 7 = 0, -2*z = u - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 270191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*d - d. Let g(h) = -14*h**d - 6*h**2 + 19*h**2. Let k(l) be the second derivative of -l**3\/2 + 196*l. What is g(k(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-50))\/(3*2\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/143, -0.2, -24, -4, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 13*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p. Let n(v) = -3*v - 1. Let m(r) = r**2 - 31*r + 32. Let s be m(30). Determine s*f(k) - 3*n(k).\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -21. Suppose j = -v + 29. Solve -4*h + j = -8*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 6, b: 3, e: 2, q: 1}. Give prob of sequence iett.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.148 in -0.3, 21, 1\/2, 0.033?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 b, and 1 f when three letters picked without replacement from ffcfccffccbfcfxfxcf.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5914*i - 5498*i = -8320 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371565491.\nAnswer: 11, 33778681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/15 and -76\/1143.\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/8*-2)\/1. Put 6, -4, z in decreasing order.\nAnswer: 6, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 387c (base 14) to base 15\nAnswer: 2e0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1338672 and -73\/2038.\nAnswer: 1364106768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 27044082?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5034083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (2073\/12)\/((-1)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 468 and 4088772?\nAnswer: 53154036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - 11 - -1*57 - 2. Solve 10*i - c = 27*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -3*sqrt(104)*-5)\/(sqrt(288)*-2 + sqrt(8)))**2.\nAnswer: 3328\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3955, -3956, -3957, -3958, -3959, -3960?\n\"Answer: -g - 3954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 33. Let q(f) = f + 40. Let r be q(-24). Let w be v(r). Is -2\/97 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Let s be (1\/(-2))\/(((-99)\/(-1278))\/(-11)). Let m(r) = s*r - 184*r + 42*r. What is m(k(t))?\nAnswer: 142*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + h + 3, -8*h = -4*h + 4. Let c be (-3)\/(-4) - 1\/(-4). Sort q, c, -5 in increasing order.\nAnswer: -5, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-378)*-3*(-18)\/(-7)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 11*q - 20. Let s be o(2). Let w(x) = -6*x**2 + 3*x - 1. Let p(y) = 6*y**2 - 4*y + 1. Let a(z) = 6*p(z) + 5*w(z). Is a(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssssssfssss?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/60 + t**4\/3 - 3*t**3 + 5*t**2. Let v be j(-10). Let x(b) = b - 2*b + 4*b - b - b**v. Give x(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8133, -8081, -8027, -7971?\nAnswer: -7913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + -255?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/2 (b) -0.1 (c) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9284251ml?\nAnswer: 0.0009284251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141648557179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-1)\/(-142)). Let b(a) = -1818*a + 10836. Let u be b(6). Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 5 - -47 - 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-253)*(-25465)\/6945?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-5) + ((-48)\/(-40))\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.007, 48, -1\/2?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0008 and -88795.\nAnswer: 71.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 24*g**3 + 16*g**2 + 20*g + 2. Let w be q(6). Which is smaller: 5881 or w?\nAnswer: 5881","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0 - 6*g**3 - 1\/10*g**5 - 68*g - 11\/12*g**4 + 0*g**2. Find the second derivative of l(x) wrt x.\nAnswer: -12*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 4*d**2 + 11*d**2 + 2*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3500\/(-884) + 1 + (-68)\/3468*6?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -419.6 + 420. What is the third smallest value in 0.02, 3, o, -9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - (-31 + -11) - 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.95 + -2. Let n = c - 0.01. Let g = n - 0.24. Sort 0.2, g, 1.\nAnswer: g, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166859 is divided by 406.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 9:01 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5*d + 12. Let z(k) = -1. Let h(y) = -f(y) - 4*z(y). Let u = -1375 - -1368. Calculate h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:51 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -102231303 (base 4) to base 12\nAnswer: -38443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-5 - -10) - 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26*a)\/a**(1\/4)*((a*a*a**(1\/24))\/a*a*a)\/((a*a\/(a*((a\/(a\/((a\/a**24)\/a)))\/a)\/a)*a)\/a) assuming a is positive.\nAnswer: a**(67\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**3\/2 - 3*h**2\/2 + 10*h. Let z be d(2). Suppose 3*p + 73 = n + 6*p, -259 = -z*n - p. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -226\/9 (c) 3 (d) 0.04 (e) -2\/9 (f) 3\/4 (g) -96\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61355*a - 112278.\nAnswer: 61355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -27. Solve 0 = -2*t - 5*u - 11, -3*t - 2*u - 18 = -w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.9132883 seconds?\nAnswer: 0.048554805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -31*o**2 - 5. Let v(d) = -94*d**2 - 16. Give -16*p(r) + 5*v(r).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 20 = 12*j. Let p(w) = -w**2 - w. Let s(q) = -19*q**2 + 9*q + 13. Let x(u) = j*p(u) - s(u). Is x(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200123132 (base 4) to base 11.\nAnswer: -24a828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 2, a: 4, k: 2, v: 3, g: 2, m: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1195, -4876, -11017, -19618, -30679, -44200?\n\"Answer: -1230*y**2 + 9*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 3, s: 11, r: 2, a: 1}. What is prob of picking 1 z, 1 g, and 1 a?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/3)\/l*l*l**(3\/4)*(l\/l**(-1\/6))**7 assuming l is positive.\nAnswer: l**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*m**5\/2 - 6138*m**4 - 693582*m**3 + 932976*m**2 - 311904*m = 0. What is m?\nAnswer: -228, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(1 + 238\/(-232)). Let z be ((-92)\/(-552))\/((-2)\/q). Let p = 9 - -9. Solve 3*t + 4*v - z = 0, 6 - p = t - 3*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 bigger than 418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d - 1. Let o(k) = k**2 + 79*k + 491. Let r be o(-74). Let i = 279 - 399. Let l = i + r. What is s(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 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: Does 27 divide 93177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -488*n**4 - 2*n**2 - 2176?\nAnswer: -1952*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52539 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -4, 0.64?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080566 to three dps.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12002238 divided by -9333\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1969.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 13*i - 9. Let s be d(9). What is the greatest common divisor of s and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1974 + 23.1754. Let p = b + 0.022. Let u = p + -27. What is the third smallest value in u, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 6*q - 2. Calculate f(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Suppose -2*j + 5*y = -16, 2 + 4 = -x*y. Suppose -2*s - 47 = -5*w - 3*s, -j*w = -s - 33. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3716 + 3718. Solve -5*j + 7*j = -c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353 * -42.5447\nAnswer: 15018.2791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, d: 6, g: 2}. Give prob of picking 1 z and 1 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 - 2) + 3)*(3 + (-45)\/18). Let k(i) = i**3 - i**2 + i + 37. Calculate k(l).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24641631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdcbdqy. Give prob of sequence zc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/4 - i**2\/2 - 12*i + 8 = 0. Calculate i.\nAnswer: -4, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113438 is divided by 3720.\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1201, -1167, -1133, -1099?\n\"Answer: 34*o - 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -117*v + 71*v + 9 - 4 + 11. Let h = 23 - 39. Let f(w) = 1. Let x(q) = 3*q + 1. Let y(s) = 6*f(s) - 3*x(s). Calculate h*y(b) + 3*p(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 38 = -3*s + 26*g, 34 = 3*s - 5*g. Let j = -158 + 1103\/7. What is the closest to s in -2\/3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402 - -4104031312?\nAnswer: 4104032214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -254266.906.\nAnswer: -254266.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 8) + -29 + 2 + (8 - 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 7*j**2 - 4*j + 8. Let f be z(8). Let g = 29 - -4. Calculate the remainder when g is divided by (-2)\/11 - f\/33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*((-660)\/50 + 11). Solve 24*q - 276 = -k*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = 3*h - h. Let l be 2\/6 + h\/(-12). Suppose -2*b + l = b. Calculate the least common multiple of 2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 172. Let g = 15071 - 15165.29. Let x = g - v. What is x rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239497 is divided by 953?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -1\/210*w**7 - 1\/60*w**5 - 9\/2*w**3 + 0*w**6 + 0 + 0*w**4 + 0*w + 66*w**2. Differentiate h(m) with respect to m.\nAnswer: -4*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let a(s) = 2*s + 106. Let w(n) = -7*n - 426. Let y(d) = -22*a(d) - 6*w(d). What is r(y(p))?\nAnswer: 4*p - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405872277 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16b84 + 1d7?\nAnswer: 16d7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1243 and 5763.\nAnswer: 63393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (3 + 4 + -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/(31293\/16956) - -33.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i)**(-8\/3)*i*i*i**(-1\/6)*i**(-5)\/i*i**(-5)\/((i\/(i**(-7)\/i))\/i)*(i*(i\/(i*i*(i*i**1)\/i))\/i)**(9\/14) assuming i is positive.\nAnswer: i**(-333\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 4 (c) -1501 (d) -2 (e) -0.3 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*k + 163920*b**3 - 4*b**2*k - 4*b**2 + 1270*k wrt b.\nAnswer: -12*k + 983520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 258? (a) 2 (b) -1\/5 (c) -0.14 (d) -0.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1377 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 13 - (29 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 31 + (-5296)\/(-136)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1258*n**2 + 632*n**2 + 632*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(2 + -2))\/2. Suppose o - 3 = 4. Let u = -1660 - -1663. Solve -u*z - x - 12 = 0, -o*z + 2*z - 4*x - 20 = q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10640 + 329801\/31. Find the common denominator of 97\/558 and n.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -1\/3*n**3 + 0*n**2 + 0 - 17*n. Let r(c) = 3*c**2 + 0*c**2 - 4*c**2. Determine k(r(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/255 + -1552\/2805. Which is smaller: 2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746 divided by -7395?\nAnswer: 746\/7395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25920 divided by 2160?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337090.\nAnswer: 2, 5, 13, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 3*p - 195, 0 = -5*t - 3*p + 264. What is the highest common divisor of t and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9745 + 9750. What is the nearest to x in -1, -0.17, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 56*t - 57*t. Sort -6, t, -1 in ascending order.\nAnswer: -6, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3204 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 661 = n - 5*m, 0 = -n + m + 163. Suppose 4*y = -4*r + 164, -4*r + n = 3*y - 7*y. Calculate the greatest common divisor of 41 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23975052 less than -23975052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325\/(-62)*(-20)\/50 - -26?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-91)\/(4\/2*(-6)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -7*z**6\/30 - 11*z**5\/15 - 2*z**4\/3 + 3*z**2 + 10*z. Find g, given that c(g) = 0.\nAnswer: -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 327, 0.3, 5, 0.2, 286 in descending order.\nAnswer: 327, 286, 5, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.073*-0.3\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-2 + (-2 + -6*(-2 + sqrt(52) + -1)*-5)**2).\nAnswer: -276306 + 55200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/(-65))\/((-1)\/4). Let r = f - 179\/52. Let k be ((-18)\/21 + 1)*-2. Which is the second biggest value? (a) r (b) k (c) 2\/7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.3 and -0.0307.\nAnswer: -0.13201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -5 - -2) + (-1 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 + l**2 + l**2)*(-8067 + 8067 + 218*l) - 2*l**3 + 0*l**2 + 0*l**2 to the form x*l**3 + s + d*l**2 + u*l and give x.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -43, 335544 in decreasing order.\nAnswer: 335544, 1\/3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y**2 - 1. Let w be c(-2). Let o(u) = 2*u + w - 2*u - u**2. Let x(d) = -2*d**2 + 5326091991*d + 10 - 5326091991*d. Calculate 10*o(b) - 3*x(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -509.02 - -516. Let l = 7.18 - u. Which is the smallest value? (a) 4 (b) -6\/5 (c) l (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**3 - 23*d**3 + 68*d**3 - 19*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*r = -2150209 + 44228. What is the thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/46*(-4539)\/31773?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**2 + 58652*f - 58656 = 0?\nAnswer: -14664, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*z - 51695, 15*f - 25900 = -z + 20*f. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 1. Let y be k(-1). Let q(i) = -i + 53. Is q(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8762.87 to the nearest one hundred.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77 or -88?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -114. Let t = -556 + 555.6. What is the nearest to x in 2\/17, t, 2\/3, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39\/8 + -5. Suppose p - 9*n = -5*n - 1, -4 = 4*p - 5*n. Which is the nearest to 1\/3? (a) p (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 667 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138282 greater than or equal to 138290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8422522 rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 9. Let i(n) = -42*n - 49. Let g(u) = i(u) + 7*t(u). Suppose -5*f - 26 - 29 = 0. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 6*a**2 + 2*a + 3. Let o be k(-5). Let h be 95\/15*-3 + 4. Let q = o + h. Solve -q*r + 7*r - 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (18 - 1716\/80) and -44\/2925?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -5\/4 (c) 0.01 (d) -398 (e) -0.4 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -7*p + 3*v, -4985*p + 4990*p - 3*v - 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*k - 7 = 0, 5*n + 5*k - 9 - 6 = 0. Suppose n*z = 54 + 101. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 5, d - n - 22 = 0. Suppose 0 = -d*t - 32 + 84. Solve 0 = 2*f + t, a - 2*a + 2*f = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3261 - 2905. List the prime factors of b.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45644, -91250, -136836, -182402, -227948, -273474?\n\"Answer: 10*q**2 - 45636*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/77 - (0 - 70\/(-22))) + -76 + 113?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*a**3 + 2\/3 - 32\/9*a + 34\/9*a**2.\nAnswer: -2*(a - 3)*(a - 1)*(4*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (-3 + -2 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -205259500 rounded to the nearest 1000000?\nAnswer: -205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30454*c**3*s - 44328*s wrt c.\nAnswer: -91362*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 12:39 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -9274?\nAnswer: -9275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 149053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62427046 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.0741 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {j: 3, n: 12}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 23.6?\nAnswer: 9.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t. Let a(m) = -39*m. Suppose 0 = 5*x + 10, -2*i + 6*x + 39 = 9. Determine i*h(z) + a(z).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115 + 108174\/(-968) - (-145)\/(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 10*k + 29 - 27\/2*k**2 + k**3. List the prime factors of q(11).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -168\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47\/4 - (-1)\/4. Suppose 5*l - 40 = 4*z, 4*l - z + 5*z - 32 = 0. Calculate the highest common divisor of l and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 1003318*s\/9 + 2341108\/3.\nAnswer: -2*(s - 7)*(s + 501666)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wht when three letters picked without replacement from {h: 3, t: 5, w: 1}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -5*a**3\/3 - 19*a**2 - 13*a. What is the remainder when h(-21) is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/7))**(-2\/29))**(2\/77)\/((t*(((t\/t**(-1\/6)*t)\/t)\/t)\/t*t)\/(t**(1\/9)\/t)*(t**1)**(-31)) assuming t is positive.\nAnswer: t**(8143967\/281358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = q - 3*a - 7, -2*q + 2*a = -16. What is the remainder when ((-10)\/7)\/((2 - q)\/14) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 + 11*p**2\/2 + 10*p + 17. Calculate l(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 17. Let g be d(-12). Let i(u) = -3*u + 9. Calculate i(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -319 + 317. Let b be -2 - (1\/(-1) - -2). Which is greater: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**4 - r**3 + 2*r**2 + 2*r. Let o(x) = -18*x**4 + 99*x**3 - 30*x**2 - 30*x - 941. Let q(i) = -2*o(i) - 30*p(i). What is the derivative of q(b) wrt b?\nAnswer: 24*b**3 - 504*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4) + -3 + 5 + (-5 + (sqrt(512))**2)*-5 + 3)*-6.\nAnswer: -24*sqrt(2) + 15180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:50 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 - 29*b + 2. Let u(f) = -1 + 747*f - 1342*f + 609*f + 2*f**2. Give 3*h(t) + 5*u(t).\nAnswer: -2*t**2 - 17*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 535248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 778 - 776. Suppose -3313 = -3*g + 2*y, q*g - 1099 = g - 2*y. What are the prime factors of g?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:33 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*n + 2*n - 47*n to m + g*n and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-5))**15 assuming t is positive.\nAnswer: t**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/6 + x**4\/4 + x**3\/3 + 238*x**2 + 3. Let z(c) = c. Give k(o) - 3*z(o).\nAnswer: -10*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1388635 by 965.\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1142 + 1145. Let i be (1*2)\/(2\/3). Let x(r) = -i*r - r + r. What is x(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 401, 1065, 2279, 4211, 7029, 10901?\nAnswer: 15995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4\/3 - 721*z**3 + 10457*z**2\/3 + 238917*z + 1340118 = 0. What is z?\nAnswer: -9, 23, 2158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 8. Let j(h) = 4*h**3. Let g(b) = -2*b**3. Give v*j(y) + 7*g(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 10*h**2 - 10*h - 3. What is q(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/120 - 7*i**5\/60 - i**4\/3 - i**3\/2 - 2*i**2 - 97. Suppose 3*o - o = 3*k - 22, 2*k = 8. Give n(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46223 - -0.3.\nAnswer: -46222.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2065 + 2058. Let o be -2 - ((-26)\/22 + -1). What is the nearest to 0.1 in f, 3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 729.44 + -774. What is j rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4432 + 3495 - 8978 = 661*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 528228 divided by 73\nAnswer: 7236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(110)*1 + sqrt(110) - sqrt(110))\/sqrt(5) + sqrt(66)\/sqrt(3)*4)*-2)\/((sqrt(1296) + sqrt(1296)*1)\/(sqrt(968)*2)).\nAnswer: -44*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbhbtbnhnhhhnnnbbn. Give prob of sequence btbb.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Suppose s*t + t = 66. Suppose -2*g + p = -3*p - 24, 3*p + t = 2*g. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 25. Let n be j(4). Which is the third smallest value? (a) 24 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(2\/9)*f**(3\/2)*(f\/f**20*f)\/(f\/f**(12\/13)*f) assuming f is positive.\nAnswer: f**(-3931\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = r + 5, -1643*r + 1640*r - 26 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 0, -5, -0.04, -3\/7 in increasing order.\nAnswer: -5, -3\/7, -0.04, 0, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7438 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3396 and 6291656.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m - 1. Let u be v(1). Suppose -5*r = -u*z + 59, -z = -5*r + 3 - 14. What are the prime factors of ((-3)\/(-2))\/(3\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p + 0*p + 3*p + 6. Let s be z(2). Let h(y) = 1. Let n(b) = b + 5. Determine s*h(j) + n(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*p - 0*p. Let o be 26*(-2)\/(p\/(-797)). Let m = 249109\/120 - o. Calculate the common denominator of 71\/14 and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 11, 0.3, 6946, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 + 7*w - 4. Let k be b(6). Let s = 0 + -5. Let l = 4 - 1. What is the biggest value in l, s, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -29. Suppose -3 - 5 = 4*b + 4*s, 0 = -3*s - w. Solve 0 = -2*n + 2*v + 6 - 0, 0 = b*n - v - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**43\/(y**0)**(3\/2))\/(y**(-3\/5)*y\/y**(-3)*y*(y**0)**(-13)) assuming y is positive.\nAnswer: y**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24517 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1914*x**2 - 189. Let f(y) = -2*y**2. Calculate s(f(h)).\nAnswer: 7656*h**4 - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 36*l**3\/5 + 13*l**2\/5 - 26*l\/5 - 3\/5 = 0.\nAnswer: -1, -1\/9, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*(sqrt(70) - -2*sqrt(70)*6))\/(1*sqrt(160) + sqrt(160) - 6*(sqrt(10) + (1*sqrt(10) - sqrt(10)))))**2.\nAnswer: 18928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) - 1 - (-146)\/((-4818000)\/(-53800)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 14, l: 5}. Give prob of sequence alla.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(13\/2))\/(c\/(c\/(c*c**(-14\/9)))) assuming c is positive.\nAnswer: c**(-89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:49 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4057.012003 + 0.3.\nAnswer: 4057.312003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.540717 micrograms in tonnes?\nAnswer: 0.000000000004540717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70\/23 + -865\/322. Suppose -17 - 10 = -3*z. Let d = z + -10. Which is bigger: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*h*x**4 + 103*h*x**3 - 4*h*x - x**4 - 11*x**3 + 168*x**2 - 65*x + 2 wrt x?\nAnswer: 1128*h*x + 618*h - 24*x - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/2))\/o)**34\/((o*o\/o**(-3))\/(o**(-1\/8)\/o*o*o))*((o\/(o**(-2\/15)\/o))\/((o**(-5)*o)\/o*o*o*o))**(4\/11) assuming o is positive.\nAnswer: o**(-25901\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**6\/285 + k**4\/114 - 2*k. Suppose a(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 + 41*m**2 + 16 - 16.\nAnswer: 57*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 76*o**3 + 622*o**2 - 700*o.\nAnswer: 2*o*(o - 1)*(o + 14)*(o + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 19967\nAnswer: 7986.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 11*t + 9. Give s(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -18, -18, -8, 18?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**(-12))**(1\/4)*(z**(-6)*z**7)\/((z\/z**3)\/z**(-5)) assuming z is positive.\nAnswer: z**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 7*i**2 + 8*i + 3. Let g be a(8). Suppose -g*c + 175 = 2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276267)\/(-5417)*42\/34.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:32 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/5)\/((-6)\/20). Suppose -u*g - 126 = -3*g. Round g to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4943378ug in grams?\nAnswer: 0.0000004943378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720 divided by 240.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w**(-2)\/w)\/((w\/w**(-2\/3))\/(w*w*w\/(w**(3\/7)*w))) assuming w is positive.\nAnswer: w**(-86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.621076 decades to millennia.\nAnswer: 0.01621076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48.3 and 0.2?\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02308 times -116.08?\nAnswer: -2.6791264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9125 - -27113. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.765 less than -7?\nAnswer: -6.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -35993.27 (c) 0.1 (d) 0 (e) 4 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 15 = 41. Let w = 34 + -49. Let q = 16 + w. Sort -5, d, -6, q in ascending order.\nAnswer: -6, -5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.5 - 7. Let v = 0.5 - f. Which is the closest to -2\/7? (a) v (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 18*y - 247. Solve 4*z = -3*z - y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23984 - 599498\/25. Let k = b - 2006\/75. Calculate the common denominator of k and ((-39)\/8)\/(1\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 3125 - 1924. Does 60 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001 - -101?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -1\/11 (b) 57 (c) -6544\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5596*x - 4. Let p(r) = -8389*r + 6. Calculate -7*p(m) - 11*q(m).\nAnswer: -2833*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/6))\/(u**(-1)\/u*u))**31 assuming u is positive.\nAnswer: u**(527\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 3:43 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 17363801.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (57 + -35 + -18 - 3\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -69, -102?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1935 and 658126395.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6324 - 1898023.81.\nAnswer: -1891699.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1081, 4329, 9739, 17311?\n\"Answer: 1081*r**2 + 5*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(45) + -2 - (-1 + sqrt(76) + 0))**2.\nAnswer: 10*sqrt(19)\/3 + 484\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 9*u - 7. Does 20 divide h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*s - 41. Suppose 6*x - 5*f - 22 = 4*x, 3*x + f + 1 = 0. Put x, s, -1 in decreasing order.\nAnswer: s, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740\/5*-28*(-7)\/784?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2872 - 1775. What is the remainder when c is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150163 - -243839. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697708 times 1?\nAnswer: 3697708","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 2904487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*i = 677, -x + 68 - 307 = 5*i. Which is smaller: x or -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -28 + 76. Let a(v) = -v**3 - 11*v**2 - 18*v - 9. What is the hundreds digit of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11136\/(-256)*((-1)\/(-3) + -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*b = 195*b - 33. Find the third derivative of -15*f**2 - b*f**3 - 25*f**2 + 7*f**2 + 24*f**3 wrt f.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 4*c. Let n be 5 - (1 + -2) - 3. What is the first derivative of -4*l - c + 9*l + 0*l + n*l wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277628, -277609, -277564, -277481, -277348, -277153, -276884?\nAnswer: -276529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 533427739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 30*j + 361. Let n be y(23). Let f = 2135 - n. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-2) - 186)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {q: 9, w: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25351*0.6.\nAnswer: 15210.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2610060 divided by 123.\nAnswer: -21220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4605 = -14*s - s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 125883.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -91*s - 26. Let y = -62 - -55. What is the hundreds digit of x(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j + 5\/3*j**3 + 23*j**2 + 0 + 1\/24*j**4. Differentiate v(i) with respect to i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 23 + 28 - 66 - 74*o as q*o + l and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1045*j**3 + 169*j**2 - 2*j + 7095804?\nAnswer: 3135*j**2 + 338*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 - 15566*n**3\/3 + 1030744*n**2.\nAnswer: 2*n**2*(n - 7579)*(n - 204)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - 1 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 526 by -23.\nAnswer: -526\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 86.163147 minutes?\nAnswer: 0.05983551875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1512023772 + 1045.\nAnswer: -1512022727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by -5 - 43\/(258\/(-900)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -41 - 14. Let n(l) = l**3 - 12*l**2 + 15*l - 25. Calculate the remainder when 75 is divided by n(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/(6\/27). Suppose 6 = d*p + 3. Suppose 8 = 3*k - p. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -323378.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpfp when four letters picked without replacement from {b: 5, f: 7, z: 1, p: 3}.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193 + 282. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wws when three letters picked without replacement from {x: 4, s: 10, w: 6}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.448 + -45.4458. Let k = -0.1 - -25.1. Let z = k + f. What is z rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 44*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/((f**(-2)\/f)\/f))*f*f)\/(f\/(f\/f**(1\/5)*f)*f)*f*f**(-1\/2)*((f*f*((f**3\/f)\/f*f)\/f)\/f*f)\/f assuming f is positive.\nAnswer: f**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -7961?\nAnswer: -7960.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 2:05 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -143 (c) -1\/2 (d) 3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.3 (c) -3 (d) 336722\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gofg when four letters picked without replacement from ggfooogg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 44 = -3*j, -4*j - u = j + 44. Let m = j + 19. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/6813 - 188072\/757. Is -0.3 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3794518 is divided by 948607.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 0.07, -2.4, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 2. Let z = a - -17. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*x**(-2\/5)))\/(x*x*x*x\/x**5)*(x\/(x**1\/x))**(-1\/4))\/(x**3*(x**(2\/3)\/x)\/x)**(-16\/5) assuming x is positive.\nAnswer: x**(509\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11831 + 58*n + 392*n + 11831 + 516*n to the form g*n + k and give g.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 6*l + 48. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbssdbvvd. Give prob of sequence bs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1)**(-2\/53)*s*s**(2\/5)*s*s*s**5)**(-4))**(-16\/9) assuming s is positive.\nAnswer: s**(141824\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1979*r - 971*r - 967*r + 79 = -126 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liil when four letters picked without replacement from llilllllillillllllll.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 765\/9 - 125760\/1480\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -1, -249.58, 1, -0.1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (586\/(-16))\/(45\/(-300)). Let m = 244 - l. Let s be 0 + (-22)\/(-8) + -3. Which is the closest to m? (a) 1\/4 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u - 74 - 136 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152833*i**2 + 305648*i**2 - 152841*i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciiicibbicbcccciib. What is prob of picking 2 i?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*1*-3 + 2 - (1 + sqrt(38)\/sqrt(2))*-5)**2.\nAnswer: 28*sqrt(19) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1440139 + -1440137. Factor 1\/5*i**b + 148\/5*i + 5476\/5.\nAnswer: (i + 74)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1700) + 1 + sqrt(1700) + (sqrt(68) + 2 + -3)*6.\nAnswer: -8*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63.055 - 0.055. Let n = r + -63.186. Round n to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:57 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.73 - -4.1. Let v = m + -0.07. Sort -3, v, 2.\nAnswer: -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39470)\/(-122357) - 147\/744.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blyyyyflylyllllywfy. What is prob of sequence yfbf?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 21. Let n be t(6). Suppose -n*w - 87 = -2*m - 2*m, -5 = w. Calculate the smallest common multiple of m and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2 (b) -3 (c) -5418 (d) 4 (e) -7 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49*12\/(-1092)*-13. Let l(t) = -t + 18. Let j be l(16). Solve 0 = 3*v - j - f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 7*m**6\/120 - 9*m**3\/2 + 71*m**2. What is the derivative of n(g) wrt g?\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 12592 + 1715. Calculate the remainder when z is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 divided by 9.\nAnswer: -305\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-24)*-3*(-4)\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:25 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/4 - 4 - -2 - 603\/804?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11512 divided by 1\nAnswer: -11512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 45038810 to the nearest ten thousand.\nAnswer: 45040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91126903*i**3*m**5 - 2*i**3*m**2 - 279077*i**3*m + 24*m wrt m?\nAnswer: 5467614180*i**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9 + 6*o**2 + 34*o - o**3 - 5*o**2 - 2 - 39*o - 6*o**2. Calculate k(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 2*o**2 - 1. Let q be g(-1). Let f be 769\/(-4) + (-4)\/(-16). Let r = -2494\/13 - f. Are r and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 23*w - 701. Let x(n) = -1356*n**2. Give g(x(p)).\nAnswer: -31188*p**2 - 701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, -6, 0, -29.\nAnswer: -29, -6, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 + 7*t - 8. Let b be l(5). Calculate the remainder when 3\/(-4) + ((-5369)\/(-28) - b) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = 129927051 - 129925647 for a.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.1, -5, -3, 154, 17, -2\/5, -2\/11?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52914133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.56 + -4.7. Round h to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200865 and 17217.\nAnswer: 602595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 4 + 4)*(50 + 43 + 56 - 68 + 50).\nAnswer: -131*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 greater than -240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2866973992 to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 3. Let d be i(-3). Let n = d - -21. What is the common denominator of (-54)\/n + 2\/4 and 35\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4399\/17532 - 4\/4383. Factor z - 1\/2*z**2 + 3\/4 - f*z**4 - z**3.\nAnswer: -(z - 1)*(z + 1)**2*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*p + 36, -5*y + 14 = -1. Let z be (-3)\/(-12) - p\/(-4). Suppose -3*j + z*n + 75 = 0, 3*n + 35 = j - 0*n. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131443433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.8 and -0.15?\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2742*i + 53533. Determine m(19).\nAnswer: 1435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 98*m**2 - 1695*m - 185. Determine w(15).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6233968 is divided by 206?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -158 and 110.0466.\nAnswer: -17387.3628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/269 or -7493?\nAnswer: -7\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 - -223.98476. Round o to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = 3*f, 3*f - 4*f + 20 = 5*x. Let g = -8 + 11. Solve d + g = 2*b - 6, f = 3*d + b - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p - 24. Let a be h(-6). Solve -2*q + 0*q - 6 = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 48 + 2\/15*g**3 + 32\/5*g - 2*g**2. Suppose v(y) = 0. Calculate y.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*g)*(24*g - 3*g - 17 - 20*g) to m*g + v + w*g**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 36625 = w + 2*g, -5*g = 5*w - 36660. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 41*o**2 - 7*o + 437. Let g(c) = -7*c**2 - 3*c. Let m(r) = 6*g(r) + k(r). Calculate m(-37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 9*p + 8. Let s be t(8). Suppose 0 = -4*v + 2*z - 108, -z = v - s*z + 30. Let m = v - -26. Sort -5, m, -1 in ascending order.\nAnswer: -5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + b + 1. Is o(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -442\/5. Which is the fourth smallest value? (a) -1\/3 (b) 2 (c) -9 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, y: 2, o: 5, n: 2, u: 2}. What is prob of picking 2 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/781 and 9\/1633?\nAnswer: 17963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-6 + (-2*sqrt(168))\/sqrt(12))\/((sqrt(162) + (sqrt(162) + sqrt(162) + 3*sqrt(162) + sqrt(162))*-2 - sqrt(162)) + sqrt(162))*1.\nAnswer: 26*sqrt(7)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 2, -0.4, 3, -2.4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (57\/(-247))\/(2 + 7\/(-2)). Which is the second biggest value? (a) 2 (b) x (c) -0.1 (d) 215\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/((495\/105)\/(-11)*42\/(-4))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5781 divided by -141?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 - 5*g*z**2 - 368*z**2 with respect to g.\nAnswer: 6*g**2 - 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 420\/(-24)*(0 - (2 + 0)). Find the second derivative of 167*d**4 + 20 - a*d + 78*d - 39*d - 20 wrt d.\nAnswer: 2004*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 3270 (c) -46 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 488033\/88067727 - 52\/19017. What is the common denominator of l and 1\/88?\nAnswer: 37048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -66. Suppose 4*m + 3*q - 300 - 92 = r, 0 = 4*q. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -13.05. Let f = -4.95 + u. Suppose 4*c + 5*l = 24, -5*c = -0*c - 2*l + 3. What is the nearest to c in f, 9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 0 - (-5 + 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 15939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 - (-6 + 4 + 1). Let z(p) = -2*p - 16. Let x be z(j). Which is bigger: x or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 - -1?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 0.0524883?\nAnswer: 2.0524883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6042678 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -15, 3, -75, 151 in descending order.\nAnswer: 151, 11, 4, 3, -15, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 4*f - 4. Let q be p(-3). Let k(x) = -x - 1 + 19 + q*x. What is the units digit of k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30586 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6767601 is divided by 57841.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + h**2 + 0*h**2)*(1 - 1 + 1) + (0 - 3*h + 0)*(2*h + 0*h + 24*h).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q - 89*q - 1518*q**2 + 70*q + 62*q.\nAnswer: -1518*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274028, -273946, -273864?\nAnswer: -273782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 30. Let f be u(-13). Let o(r) = 5*r**3 + 3*r**2 + 5*r + 3. Let l(t) = -6*t**3 - 4*t**2 - 6*t - 4. Give f*o(z) + 3*l(z).\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 0, -9, -3, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217 is divided by 489?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 2 e when four letters picked without replacement from {e: 2, u: 1, m: 3, h: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*m + 84, 5*l + 4*m - 2*m = -105. Let i be 7\/l + 22\/30. Determine p, given that 0 + 2\/5*p**3 - i*p**5 + 0*p**4 + 0*p + 0*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 382, 383, 394, 421, 470, 547?\n\"Answer: r**3 - r**2 - 3*r + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68302542 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.6 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246382719.\nAnswer: 3, 11, 2099, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6 - 85\/15) + 441882\/294. What is the highest common factor of a and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1742*a = 4*j + 1757*a - 15, 19*a + 102 = 3*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2548 - 2543. Let m(i) be the first derivative of 5\/3*i**3 + 0*i**2 - g + 10*i. Find the first derivative of m(f) wrt f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -53 + 79 + 37 - 2*v. Let x be p(32). Put x, 3, -4, -5 in ascending order.\nAnswer: -5, -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 969836739 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -60. Suppose z - 18 = 2*m, -3*m = -3*z - 2*m + 29. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8397 - 8395. Calculate the highest common factor of 62 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 330. Let m(s) = -1000*s + 3. What is m(i(c))?\nAnswer: 4000*c - 329997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 3 = -3*u - 2*o, 0 = 2*u - 4*o + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/4)\/(126\/(-30)*(-580)\/6496).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 928 divided by 58\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 4, -4426, 2.\nAnswer: -4426, -3, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3431904, 6863813, 10295724, 13727637?\n\"Answer: f**2 + 3431906*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63092, 126186, 189280, 252374, 315468?\nAnswer: 378562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38117000 rounded to the nearest 100000?\nAnswer: -38100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let f = v - 3. What is the nearest to 1\/3 in 1\/6, f, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/12*v**2 + 0 + 7\/12*v**3 - 1\/12*v**4 - 7\/12*v.\nAnswer: -v*(v - 7)*(v - 1)*(v + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and 153.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -56 - 49. Let s = -23 - r. Let d(b) = b**2 - 11*b - 9. Let z be d(s). Solve -4*h + z*h = 3*j + 2, 5*h - 24 = 2*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*r - 5, -r + 1 + 4 = 5*b. What is the third biggest value in b, 4, 6\/145?\nAnswer: 6\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/(o*(o*(o\/(o\/(o*o**(4\/11)))*o)\/o)\/o*o))*o\/(o*o**(-6\/17))*o*((o*o*o\/((o*o**(-4\/3)*o*o*o)\/o)*o)\/o)**8 assuming o is positive.\nAnswer: o**(8069\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 10:36 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -10. Calculate the smallest common multiple of (-9)\/(-4) - (15 + -19 - 1349\/76) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1800)*1 + sqrt(108)\/(sqrt(6)*-2)))\/((-5*sqrt(120)\/sqrt(2))\/(sqrt(10) - (sqrt(10) + -4*sqrt(30)\/sqrt(3)))))**2.\nAnswer: 155952\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2*c*c**(-5\/6)*c)\/(c\/((c**2*c)\/c)*c*c**1))\/((c**1\/c)\/c**(-3)*c**(3\/5)\/c**(-3)) assuming c is positive.\nAnswer: c**(-133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-3)\/12*-4. Solve -2*f - 2 + 6 = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*n - 3*n + 9, 2*x - 6 = -2*n. Solve 0 = -4*u - n*u - 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63375 is divided by 15839.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 42. Put -1, -4, 0, y in ascending order.\nAnswer: -4, y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j**2 - 2*j - 1. Suppose -16 = 4*k, -t - k = -4*t + 1. What is p(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 11. Let y = f - -9. Let u(t) = -t + 7. Let v be u(y). Which is smaller: v or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96982320*s + 90529370 wrt s.\nAnswer: 96982320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16963 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/20 + 44*f**2. Let q(b) = -2*b**2 + 10. Determine s(q(g)).\nAnswer: -12*g**4 + 120*g**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55816361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/6 - u**2 + u - 1. Let i(v) be the first derivative of j(v). Give i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*(1*sqrt(390))\/sqrt(10)*6)\/(5*6*(sqrt(24)*2)\/sqrt(8)))**2.\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-6)*156\/910*7. Which is smaller: -28 or o?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*r + 1216 = 269*r. Solve -107 = r*u + 7 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1792)*1 - sqrt(280)\/(sqrt(40)\/sqrt(4)))\/(sqrt(8)\/sqrt(2)*6*6).\nAnswer: 7*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 3*b + 3. Let p = -4 + 0. What is k(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26228 divided by 6?\nAnswer: -13114\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {w: 3, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11822 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/9 - 2\/(-9). Let w = 10 - g. Let n = -89 + 94. Solve w = -n*s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/252*(-2)\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from tedggenddntd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12415 + -14030?\nAnswer: -30445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b**3 - 42862*b**2 - 1003305 with respect to b.\nAnswer: 24*b**2 - 85724*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*b + 0 + 2\/11*b**2.\nAnswer: 2*b*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.3, 4\/985, -0.1, -14.3?\nAnswer: 4\/985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0548800377 minus 5?\nAnswer: -4.9451199623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 275\/80)\/(3\/4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1097, -1065, -983, -827, -573, -197, 325?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19253573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1447825 - h + 1447825 - 15*h**2 in the form v*h + u + s*h**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -35330 (b) -1 (c) 1\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + ((2*sqrt(85))\/sqrt(5) + sqrt(17)*-1*-6)**2.\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Suppose -2*v - 12 = -6*v. Let f(m) = m + 1. Let u(n) = n + 1. Let a(b) = 4*f(b) - 5*u(b). What is v*a(h) + 4*o(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10884 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -24, 1\/5400 in ascending order.\nAnswer: -24, 1\/5400, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 84\/(-140) + 13\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**2 + 5230*a - 21049. Calculate n(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = 0, x - t = 4*x - 2314. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 3, y: 3, l: 2, k: 4, a: 2}. Give prob of picking 1 l, 1 c, 1 q, and 1 k.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 5:21 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6978?\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 + -5 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10231 - -1525621889.\nAnswer: 1525632120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -5, 5 in descending order.\nAnswer: 5, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*u + 23 - 22, 0 = -3*r - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884d (base 15) in base 11?\nAnswer: -54801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from vrvrf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -134627 plus -18.51?\nAnswer: -134645.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3 - 0. Suppose -t - 2*t + 13 = -4*f, t = -y*f - 13. Let h = -7\/54 + 5\/27. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26624 + -0.03376. What is the smallest value in -3, h, 3, -25, -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 812 (base 9) to base 3\nAnswer: 220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -9*r**4\/4 + 5*r. Let j(m) = -2*m**2. Determine t(j(s)).\nAnswer: -108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 782519.\nAnswer: -60\/782519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 1}. Give prob of sequence zdz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.097836 + 0.027836. Let d = -0.05 - 0.35. Put w, -2, -5, d in decreasing order.\nAnswer: w, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 264*p**2 + p - 132*p**2 - 1 - 131*p**2 + 1. Let x(a) = -6*a**2 - 9*a. Calculate -18*d(r) - 2*x(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(1956\/(-72) + 27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -574006.\nAnswer: 85\/574006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 5940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*1*sqrt(19))**2 + sqrt(2299) + 1 + (sqrt(684) + 1)*-4).\nAnswer: -78*sqrt(19) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-27)\/21 - (-16)\/56.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8779278 and 131034?\nAnswer: 8779278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2259*i + 51224 - 12917 = 180*i - 57327 for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13833.1351 to the nearest one hundred.\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 10*u - 2*u**2 + 13*u - 17 + 16*u**2. What is the remainder when l(-13) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 2*r - 2. Give u(-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/((-1)\/(-1)) - -1. Let p = 24 + 0. Let o = p + g. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 - 8*p + 4. Is q(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 2*n**2 + n + 6. Let j(o) = -1794*o**3 - 342*o**2 - 8*o - 48. Let g(h) = -j(h) - 8*p(h). Find the third derivative of g(b) wrt b.\nAnswer: 10812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 10:58 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717 = 33*j - 141. What is the lowest common multiple of (4\/3)\/((-4)\/(-54)) and j?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from qgwhhvw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/((-11745)\/(-270))*(-2)\/3*9\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848*k - 1833*k - 13590 = 0. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 3*g + 4. Let i(v) = -v**2 - v + 1. Let c(f) = -f**3 + 16*f**2 - 24*f + 385. Let a be c(16). Determine a*p(u) + 3*i(u).\nAnswer: u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 43*s + 6. Let k be v(6). Let m = 221579\/5 + -44576. Let w = k + m. Calculate the common denominator of 6 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7827 + 4745 = 255*c + 6353 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 60 = -3*i. Suppose i = 2*v - 38. Let z = -23 + v. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -9\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -183, -355, -587?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + (sqrt(80) - (3 + -2*sqrt(80))) + 6*(sqrt(80) - (sqrt(80) + 1))))**2.\nAnswer: -864*sqrt(5) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 31 = -3*y - 11*d, 5*d - 32 = -4*y. Put y, 1, -11 in increasing order.\nAnswer: -11, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30524 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 16 (c) -0.07 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, -5, -3\/8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 470*n**2 - 394*n**2 - 99*n**5 + 1652*n**2 wrt n.\nAnswer: -5940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - (-2)\/6. Let j = 3 + -12. Let o be 10\/21 + j\/27. Which is greater: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 6*i - 3*i)*(4 - 6 + 3)*(-5 - 1 + 3).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 - 10*o**2 - o + 8. Let d(q) = -3*q**3 - 10*q**2 - q + 8. Let l(g) = -5*d(g) + 4*p(g). What is l(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:13 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f**3*k + 2*f**3 - 154*f**2*k + 21*f**2 - 2951062*f*k wrt f?\nAnswer: 114*f*k + 12*f - 308*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k - 8. Let n = k - -6. Suppose 3*l - 3 = 2*r + 11, -4 = 4*r. Put n, -4, l in decreasing order.\nAnswer: l, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:57 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n - 375 = 69 + 596 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let p(h) = -h**3 + 12*h**2 + 7. Let k be p(12). Let i(x) = 10*x**2 - k*x**2 - 4*x**2. Determine t(i(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 8138.\nAnswer: -3\/4069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-10 - -1) - (2 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2952*m + 430*m = -46631 - 386265 for m.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -18.7. Let p = 23\/216 - -1\/54. Let u = 2.5 - 2. Which is the closest to 0.2? (a) h (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4575.999988691 + -4576. What is f rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -104*a**2 - 7074*a - 132. What is p(-68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d**2 + 9 - 3 + d**3 - 2*d + 0*d**3 + 5*d. Let r be b(9). Suppose -3*m - r = -4*m + 4*q, -5*q - 570 = -5*m. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123.101 + -123.6. What is h rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2\/7 (c) -2 (d) -4\/15 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 58*y**3 + 544*y**2 - 1664*y.\nAnswer: 2*y*(y - 13)*(y - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x + 2 + 2 + 2 + x**2. Let y = 112 + -122. Let z be w(y). Solve 2*t + 2*g = -z - 0, -5*t - 2*g - 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*b = -3 - 15 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19263399 by -3.\nAnswer: 6421133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1808*j - 76562. Give m(42).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(-12*p + 15*p - 9*p)*(-30 - 58 - 45).\nAnswer: 2394*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.51 + 0.5. Let g = 1.99 - h. Put -2, 1\/3, g in decreasing order.\nAnswer: g, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -1\/2, -49\/5, -2 in descending order.\nAnswer: -1\/2, -1.6, -2, -49\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-48) - 11\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 8) in base 3?\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-63.508.\nAnswer: 25.4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 2*r - 5. Let z be q(0). Let s(t) = t**3 + t**2 + t - 1. Let a(k) = -6*k**3 + 5*k**2 + 6*k + 5. Let n(i) = z*s(i) - a(i). Factor n(d).\nAnswer: d*(d - 11)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 416*a**2. Let h(u) = -2*u. Calculate q(h(z)).\nAnswer: 1664*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16235010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 36. Solve k = 3*p - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - (4 - (5 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -19, -29, -51, -91, -155?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/209 + 2\/19. Let c = 43 + -28. Suppose -5*t - 5*h - c = 0, -h - 10 = -3*t - 3. Is k smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*sqrt(1728) + sqrt(108)\/(sqrt(54)\/(sqrt(18)\/sqrt(3))).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**2 + y**2 + 395 + y**2 - 64*y**4 - 505*y**4 with respect to y.\nAnswer: -2276*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 53*x**3 - 3*x**2 + 3*x - 1. List the prime factors of r(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q*q**(-4))**(2\/19) assuming q is positive.\nAnswer: q**(-22\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 150\/(-20)*(-8)\/(-6). Is x\/(-20)*(-298)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - b - 1. Let c(q) = -4*q - 4. Let s(r) = c(r) - 4*d(r). Let w(i) be the third derivative of -i**4\/12 - i**2. Determine w(s(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away -2489614222?\nAnswer: 2489614221.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 + 744*h**3 - 743*h**3 - 8*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8856 and 450.\nAnswer: 221400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5*p + 29, 0*p + p + 5 = 3*m. Let w(b) be the first derivative of -b**2\/2 + 5*b + 1. Let j be w(m). Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 0.4. Let d = 0.7 + q. Which is the closest to 0.1? (a) 0.4 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12682 or 12681?\nAnswer: 12681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19481 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/9*d**2 + 8\/9*d + 4\/3 = 0. Calculate d.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 - 204.03. Let u = p + 0.03. Let i be 1\/2 - (-27)\/(-42). Which is the second smallest value? (a) 3\/2 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13 + 5*b + 75 - 32. What is the remainder when r(3) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-272)\/748 + (-95)\/11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (0 + 1 - -2). Let p(y) = -y**2 + 9. Let z be p(o). Solve 0 = -2*c - 0*x + 5*x - 20, -4*c + 5*x - 30 = z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*w - 79*w + 98*w = 280*w + 1947 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - -300313?\nAnswer: 300064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9511774 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 1, m: 1, s: 1, e: 1}. What is prob of picking 1 m and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2. Let s(r) be the second derivative of 5*r**4\/6 + 28*r. What is s(b(m))?\nAnswer: 40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z*z**6)\/(z**(-3)\/z*z**(-7)*z))**(3\/2) assuming z is positive.\nAnswer: z**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**5\/35 - z**3\/21 - 6. Find t such that i(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.331 and -1.00845.\nAnswer: -0.33379695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2518, 2512, 2504, 2494, 2482, 2468?\nAnswer: 2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20025 and 0.3.\nAnswer: -6007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 8*w**2 + 8*w - 17. Let t be s(-9). Let g(o) be the first derivative of -o**4\/4 - 8*o**3\/3 - 3*o + 121. Calculate g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 3*p - 6*p + 4*p - 3*p + p + (2 - 2 + 2*p)*(-3 + 4 + 1).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271454318 is divided by 3734?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 3*z)*(6*z - 3*z - z + (3 + 0 - 4)*(-z + 4*z - z) + 3*z - 6*z + 2*z) + 0*z**2 + 7*z**2 - z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -305, -1037, -2467, -4829, -8357, -13285, -19847?\n\"Answer: -39*w**3 + 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 2, -0.2, -1\/4, 2\/8387 in decreasing order.\nAnswer: 5, 2, 2\/8387, -0.2, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 217*i - 213*i - 277828. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:13 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b + 15*b + 9*b. Let c(o) = -3*o. Calculate i(c(a)).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7075*r - 7590*r - 3605 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-56))\/((1\/((-126)\/28))\/((-6)\/27)).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -14)*42\/15. Let j = -30 - x. Suppose 0 = -6*p - 19*p + 1750. Calculate the remainder when p is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12)*0)\/(2*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**4 - 9*o**3 + 9*o**2 - 3*o - 3. Let i(h) = -3*h**4 + 9*h**3 - 10*h**2 + 4*h + 4. Let j(d) = -3*i(d) - 4*r(d). What is y in j(y) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**5*w + 147384*p**3*w - 5*p*w - 2*w - 78960 wrt p?\nAnswer: 120*p**3*w + 884304*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-5)\/(-1))*0. Which is greater: -2\/105 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 285 = 610 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -56, -137, -4 in descending order.\nAnswer: 2, -3, -4, -56, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s*s*s**0)**37\/((s**(-3\/2)*s*s**(3\/4))\/((s\/(s*s*s\/(s\/(s\/(s\/s**(1\/3)*s))*s)*s*s))\/s**(5\/2))) assuming s is positive.\nAnswer: s**(691\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 4*q**2 - 6*q - 23. Let u be o(-4). Let a be (-8)\/(-6) - (4\/12 - u). Solve -2 = a*z, -n - 5*z - 4 - 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1878 - -1876.342. Let r = f + -0.404. Let m = 2.1 + r. What is m rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**6)\/t*t**(-2\/23))**(-1\/28) assuming t is positive.\nAnswer: t**(-34\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26803 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 6*o**2 + 2*o + 2. Let w = 29 - 23. Suppose -c - 13 = -w. Is z(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27690 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*t - 606*t + 218*t = 1529*t + 51340 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9057222 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274 (base 10) to base 15.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58307*r**2 + 49444*r - 49444*r.\nAnswer: -58307*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-54))\/(129\/(-5031)))\/(2\/18).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 69*(3 - 30\/9). Let o = -21 - w. Let g be (1\/o)\/(1\/(-2)). Which is the closest to 1\/3? (a) -2\/9 (b) g (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 1779, 2669, 3559?\nAnswer: 4449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -396413*r**5 - 242334*r**2?\nAnswer: -23784780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 5*c**2 + 5*c - 1. Let p be s(4). Let x = p - 1. Let q(j) = -2*j**2 + 0*j + 1 + j + j**2. Calculate q(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvjj when four letters picked without replacement from jvvvvjvvvvj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + 6 - 6 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -108263, -108249, -108235?\n\"Answer: 14*s - 108277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -94\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1)**(1\/9)*z**(1\/2)\/z**(-4) assuming z is positive.\nAnswer: z**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -2636?\nAnswer: -31632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - o - 1. Let m(j) = -4*j**2 - 6*j + 51. Let x(n) = -5*i(n) + m(n). Let q be x(0). What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284 and 26838?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z*z\/(z\/((z*z**15)\/z))*z)\/z)\/z)\/z*z)**(-36) assuming z is positive.\nAnswer: z**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 5*a**2 + 3*a - 16. What is p(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 3. Let h(o) = -o - 3 + 1 - 1. Let n be 46\/(-14) - -3 - 86\/(-301). Let u be h(n). What is v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 + 3*t**4 - 3*t**4)*(-2 - 3 + 4) - 16*t**4 + 16*t**4 - 4*t**3 + 2*t**5.\nAnswer: t**5 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 20. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/103159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {q: 7, l: 5, s: 8}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/168 and 185\/1596.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -164044534 (base 7) in base 14?\nAnswer: -16b331b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -158 + 156 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 6*b + 9. Let p(i) = 5. Let h(t) = -t + 14. Let g be -7 + 6*8\/12. Let o(r) = g*h(r) + 8*p(r). Let f be o(3). Determine k(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u**5\/7 + 10054*u**4\/7 - 56590*u**3\/7 + 3758*u**2 + 20220*u\/7 = 0. What is u?\nAnswer: -1011, -2\/5, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.53025452289.\nAnswer: -0.46974547711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69177767 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*(-14)\/196*(-350)\/20\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 12) to base 5\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -27. Let x = -28 - r. Suppose 10 = -5*s - 0*s. Is s bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 minutes after 3:48 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -576*96910.\nAnswer: -55820160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, -26, -9, -3, -0.4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215995 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/21))**(-34) assuming k is positive.\nAnswer: k**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 26 = 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8257 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2900, -3177, -3624, -4229, -4980, -5865, -6872?\n\"Answer: 2*c**3 - 97*c**2 - 2805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 13) to base 5\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = -2*s - 1, 5 = 4*s + 3*b. Let w(x) = -x**2 - x**2 + 0*x**2 + x**s. Let m(v) = 3*v**2. Give w(m(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85801808*w**3 - 7439628*w**2 wrt w?\nAnswer: 514810848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 364 = -2*b + 6*b, 0 = -2*v - 2*b + 358. Let z = v - -84. Is 65 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5. Let u = 146 + -148. Let o be (u*2\/z)\/(2\/(-5400000)). What is o rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) -2214 (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 23*r**2 + 23*r + 27. Let z be g(24). Solve z*j + 2 - 14 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20763978.\nAnswer: 2, 3, 3460663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2025*b**3*i + 1881*b**3 + 3 wrt i.\nAnswer: -2025*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1 = 11. Suppose -5*n + 5*r + 1650 = 0, z*n = 4*n + r - 645. Suppose -15 = -5*m, f = -m + 6*m - n. What is f rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5981 and 0.04.\nAnswer: -239.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2. Let b(k) = 8*k. What is b(p(q))?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/154523553 and 49\/31476?\nAnswer: 618094212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12 and 43\/27273.\nAnswer: 109092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 45 - 429 = -4*f, 0 = 2*x - f - 256. Let s be 94\/((5 - 3)*-1). Let m = x + s. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 9. Let q(z) = z - 1. What is -c(d) - 3*q(d)?\nAnswer: -2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 15*r**2 - 13*r - 17. Calculate d(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j - 38*j - 54*j - 35*j + 168*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 - 4*l - 1. Calculate h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -6. Let i = n + 10. Let f = 1.5 - i. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.49*-0.6\nAnswer: -0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27, 5, -325 in decreasing order.\nAnswer: 27, 5, 3, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.18 + -65.21803. What is l rounded to three decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75654795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -324. What is the greatest common factor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5277001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.161943 years in millennia?\nAnswer: 0.009161943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8237, -8239, -8243, -8249?\n\"Answer: -v**2 + v - 8237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 124, -20, 2, -1\/3?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.03 - -6.03. What is the biggest value in -0.3, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90179960 divided by 8\nAnswer: 11272495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.7 - -109.3. Let q = i + -123. Let w = 1 - 2. What is the closest to -0.3 in q, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 230*t + 1522. Give p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-12)*((-1455)\/150 + 10)*8. Suppose 4*b - 525 = -5*h, 2*b = -3*b + 4*h + 605. Calculate the highest common divisor of y and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -477*r**3 + 3*r**2 + 2*r + 1. List the prime factors of q(-1).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -10*k + 4707. Suppose -5*o - 68 + k = 0. Calculate the smallest common multiple of 11 and o.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 35*y - 127. Let s be t(-31). What is the third smallest value in 5, s, -436?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57729.8 + -0.4?\nAnswer: 57729.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -11321*c + 0 + 40097*c - 2 + 2 as b + z*c and give z.\nAnswer: 28776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3*k*w**2 - 6356*j**3*w**3 + j**3*w**2 - j**3*w + 448*j**2*w + 63*j**2 - j*k*w**4 + 10*w**4 wrt w.\nAnswer: -38136*j**3 - 24*j*k*w + 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/480 and 83\/3792.\nAnswer: 37920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 24. Let u be i - (8 + -4) - -8. Suppose 0 = -5*y + 3 + 2. Solve 0 = u*j - y - 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-35) - (-1076)\/(-10). Let l be 3\/(-3 - f\/42). Suppose 28 = -2*j - 5*m, 2*j + 5*m + 24 = j. Sort l, 4, j in decreasing order.\nAnswer: 4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 17*n = -164. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -3\/7, -77, 0.3?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -16*r + 14*r. Suppose -r*c - c = -5*c. Suppose -n + 7 = 3*l, c = -2*l - 4*n + 2*n + 6. Solve -5*f + 3*z = 16, l*z - 6 = f - 0*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 4)*(1 + 2). Let v be (3898\/(-9745))\/((-1)\/(5*1)). Solve v*j = 5*j - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(sqrt(144) + sqrt(144) + sqrt(144)*-3) + sqrt(832) + 0 + 1 + sqrt(13) + sqrt(13) + -4)*-3)**2.\nAnswer: -531*sqrt(13) + 45577\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**5\/25 - 3*f**4\/20 + 2*f**2\/5 - 49. Suppose v(z) = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/17*b**4 - 2\/17*b**3 - 10\/17*b**2 - 6\/17*b.\nAnswer: 2*b*(b - 3)*(b + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -23, -74, -175, -344, -599?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 3*b**2 + b - 2. Let k be z(-2). Suppose k = -5*y + 11*y - 144. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -280*i*l**3*z**2 - 18115*i*l**3*z - 2*i*l**2*z - 3*i*l**2 - 20*i*l*z**2 + 26*i*l*z - 2*l**2*z + l**2 wrt l.\nAnswer: -1680*i*z**2 - 108690*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192873*w**3*y**3 + 77*w**3*y + 2*w*y**2 - 2*w*y + 91*y wrt y.\nAnswer: 1157238*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14440 and 0.0809.\nAnswer: -1168.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 32 = 0. Suppose 17*z - 121 = -19. What is the smallest common multiple of h and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1906*c = -1900*c + 30. Sort -71, -3, c, 2 in increasing order.\nAnswer: -71, c, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*i + 11, 4*i - 17 = -1. Suppose 3*x + 2*g + w - 2 = 0, 0 = 5*x - g - 6. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 99 = -3*t, -3 = -5*t - k + 145. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/40722 and -121\/2586?\nAnswer: 17551182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -3 + 1732\/(-3). Let o = n + 564. Let k = -14 - o. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 8. Calculate the least common multiple of 38 and l.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 2*q - 372, -q + 200 = -4*u. Suppose 3*h - q = -13. Let s = 557 + -528. Calculate the remainder when h is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.3 - -1.3. Let z = -2.5 + 0.5. What is the third smallest value in z, -1\/3, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/42*3 + (-16425)\/(-63). Suppose -2*g = -1247 + 1131. What is the highest common divisor of g and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*d + 35 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1656277651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 9*i + 8. Let w be n(7). Let o = w + 10. Suppose -o*g + 0*g + 40 = 0. Solve 3 = z, 0 = -m - 5*z + g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:32 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 57*h - 472 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4*q + 8, -3*o + 5*q = -4 + 6. Suppose -63 = -j + 5*f, o*f + 312 = 4*j + f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 - 802 - (-16)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 4. Calculate r(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a = -34*a - 126129. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*m, -n + m = -4*m - 1633. Let k = n - 1111. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-17)))\/(b\/(b*b**19)) assuming b is positive.\nAnswer: b**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/41, -2, 0?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 121, 98, 61, 10?\n\"Answer: -7*k**2 - 2*k + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = y + 4821, 5*y - 8055 = -5*b - 0*b. Suppose 0 = -10*q + 6*q + b. Suppose r + q = 7*r. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306)\/(-9) - (60 - 37)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410475437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212310021 (base 4) in base 14?\nAnswer: 13b013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 222917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-4)\/(-6)))\/((-44)\/44)*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*x - 256 = 950 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155 - 1420?\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -904 (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130238 + 277?\nAnswer: 130526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose -o + 8 = 2*v, 0 = v + x*o - 0*o + 10. Suppose v + 9 = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1301 - -1306.31. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x**3 + 30*x**3 - 136*x**3 - 210*x**3.\nAnswer: -353*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:27 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66557.\nAnswer: 19, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6977.302l?\nAnswer: 6977302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3\/t)\/t**(3\/4))\/(t*t\/(t*t\/((t*t\/t**(2\/5))\/t)*t))**(2\/3) assuming t is positive.\nAnswer: t**(91\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.24, 10\/21, 4 in decreasing order.\nAnswer: 4, 10\/21, 0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - q + 1. Let h(w) = 5*w**3 - 6*w**2 + 10*w - 7. Let p(o) = 4*o**3 - 9*o**2 + 12*o - 8. Let z(s) = 3*h(s) - 2*p(s). Calculate 5*r(d) + z(d).\nAnswer: 2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 3*x = -5*n - 17523, -n + 8761 = x. Suppose 47*c = 53*c - n. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1\/6*r**4 + 0 - 3*r + 1\/2*r**2 - 1\/3*r**3. Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + sqrt(1377).\nAnswer: 7 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -480294 or -480296?\nAnswer: -480294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 195 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 179 and 6?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69719, -139445, -209175, -278909, -348647?\nAnswer: -418389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1010863 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 + a. Let r(k) = -4*k**3 - k**2 + 14*k + 23. Let b(g) = -r(g) + 6*w(g). List the prime factors of b(-7).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -848.1 + 848. Which is the nearest to -0.2? (a) 11\/5 (b) -5 (c) k (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-645)\/(-172) - 2*(-10)\/16. Solve -p*j + 7 + 3 = -5*r, 3*r + 5*j = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -189*x**2 - 18206*x**3 + 9*x**2 - 935 + 18208*x**3 wrt x?\nAnswer: 6*x**2 - 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18141636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 2)*(-509 + 509 - 9*j) + (-5 + 3 + 0)*(3*j + j - 2*j) + 2*j - 2*j - 2*j - j - 3*j + 2*j)*((1 + 1 + 0)*(2*j - 3*j - j) - 1 + 2*j + 1).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21702810 divided by -101415\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19103*h**4 + 8087?\nAnswer: 76412*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2 + sqrt(125))*4 - (2*sqrt(125) + sqrt(125))*2)**2 + -4 + 1.\nAnswer: 160*sqrt(5) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 13*b + 2*y, 14*b + 3*y + 76 + 87 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -927, -1858, -2789, -3720, -4651?\nAnswer: -5582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 81. Let r(u) = -12 + 28 - 16 - m*u. Let a(y) be the second derivative of -y**4\/6 + 3*y. Determine a(r(f)).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)\/((k*k\/(((k*k\/(k*k*(k*k*k**(-8\/5)\/k)\/k*k)*k)\/k)\/k))\/k*k)*(k\/k**(1\/2))\/((k*(k*k**(-4\/9))\/k)\/k) assuming k is positive.\nAnswer: k**(-851\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n - 350. What is x(-18)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 13 - 11 + 8*g**2 - 4 to the form t*g + m*g**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 2:09 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1166013 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.358 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176125509 to the nearest integer?\nAnswer: 13271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -21. Let q = s - 5. What is the greatest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.29*2.\nAnswer: -16.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3.4, -1.3, -1, -2.\nAnswer: -2, -1.3, -1, 3.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + 2 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2985, -12175, -27479, -48891, -76405, -110015?\nAnswer: -149715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/6)\/(-3 - (-22)\/6). Let h(r) = -2*r**3 - 2*r**2 + 5*r + 7. Let g be h(b). Solve -6*f + 2*f - 5*v = -g, 4*v = -2*f - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -m - 0*m - 96, 2*s - 5*m = -70. Let q be ((-9)\/5)\/(5\/s). Suppose 2*o - o = q. Calculate the lowest common multiple of o and 19.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 137 = -4*v - 4*u, -3*v + 3*u + 66 = 0. Let k = v + -19. Let b(i) = 2*i - 3. Give b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 5*l. Let q be (-3)\/l - (-8)\/20. Differentiate 12 - 10*s + 10*s - q + 10*s**2 with respect to s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/12 + 5*i**2\/2 + 4*i. Let d be x(5). Let w be (-1 - 2) + 65\/d. What is the third biggest value in -4, 0.2, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9266068 minutes to seconds.\nAnswer: 55.596408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - y - 4)*(-2 - 4*y + 3*y - 3*y).\nAnswer: 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3226 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 11*k - 7. Let u be a(-12). Suppose -n + u = -12. Suppose -21 = -o - 4*b, o - 3*b - n = -6*b. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*q**3 - 32*q**3 - 33*q**3 - 31*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.661253 years?\nAnswer: 0.03661253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*q + 3*k, -498*q + 494*q + 2*k = 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/2)\/k))\/(k\/(k\/(k**(1\/18)\/k))*k))\/((k\/k**6)\/k**(-19)) assuming k is positive.\nAnswer: k**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/((-108)\/56)*-12. Suppose 4*a + 12 = 7*a. Suppose a*t = 15 + 17. What is the greatest common factor of j and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -1151672.2.\nAnswer: -1151676.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0*f + 0 + 0*f**2 + 2\/5*f**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*k - 9030 = -906 + 1880 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 17 - 3 = 0, u + 65 = t. Suppose -r + t = -70. List the prime factors of r.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50827 - 24138. What are the prime factors of t?\nAnswer: 13, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9740097 or 9740096?\nAnswer: 9740097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-84)*27\/(-2)*(-6)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4775, -4789, -4803, -4817, -4831?\n\"Answer: -14*g - 4761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/186 and -71\/402.\nAnswer: 12462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -29 + 40 - 21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -206, -1, -5.\nAnswer: -206, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let x(y) = 23*y**2 + 509*y. Let p(z) = -50*z**2 - 1018*z. Let u(o) = 6*p(o) + 13*x(o). Give u(b(l)).\nAnswer: -l**4 - 509*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79974241.\nAnswer: 79974241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22286980, -44573959, -66860938, -89147917, -111434896?\nAnswer: -133721875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433165593.\nAnswer: 19, 173, 367, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 2*n**2 + n**2 + (-1 + 2*n + 1)*(0*n + n - 2*n) - 1 - 3*n**2 + 1)*(1 - n + 2*n - 2).\nAnswer: -6*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12918 - -24961. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244416 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3675*s**2 + 210*s + 3 = 0. What is s?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/6 (b) -34 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162.2 + -162. What is the biggest value in -1\/4, w, 0.05, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 1\/4 - (1 + 0). Is i <= -8\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 208. What is g(68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 25103*u - 175548. Calculate a(7).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 5. Let u be q(7). Solve r - 6*i + u*i - 3 = 0, 0 = -r + 3*i + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188731 greater than 3188687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25163480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/20 - y**4\/2 + 5*y**2 + 8*y. Suppose 0*q + 4*q = 28. What is the remainder when u(q) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1971.852 + 1977. Let v = -0.148 + x. What is the third biggest value in 6, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49907 divided by -13\nAnswer: -3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3010480 is divided by 1505232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*z + 3*y, -5*y + 30 = -2*z + 4*z. Suppose z*t = n + 15, -t = -2*n - 0 - 12. Let u(q) = 198*q**2 - 5*q + 5. Is u(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + 2)*-6 + 4 - (((sqrt(70)*-2 + sqrt(70))\/sqrt(10) - 5*sqrt(7)*1) + 5).\nAnswer: 23 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -13 + (9 - (-7 - -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792 and 631404.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -14. Suppose -4*j = i - 1. Let u = 2 - j. Solve 0 + u = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - l + 7 + 2*l + (-7*l - l + 2*l)*(3 + 1 + 0))*(0*l + l - 4*l + (-2 - 2 + 6)*(0*l + 4*l - 3*l)) in the form z*l + n + o*l**2 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155335, 310577, 465819, 621061?\nAnswer: 776303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = s - 80. What is the remainder when s is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c + 2*c)*(-68 + 44 - 109)*(0 + c + 0).\nAnswer: -532*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 - 5 + 5 - 376*q**2 - 5*q**3 + q + 181*q**2 + 187*q**2 to the form f*q**4 + b*q + g*q**3 + h*q**2 + u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = -4*k, 11 = -2*c + 5*k + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/198)\/((-22)\/(-605)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 - 3. Suppose 4 = 2*w, j + 8*w = 6*w + 8. Let s(z) = -5*z**2 - 4. Calculate j*n(x) - 3*s(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 560616\/11 and 50964 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1718927952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263112 is divided by 7130?\nAnswer: 6432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.11770331 to 4 decimal places.\nAnswer: -1.1177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7332 and -0.31397657.\nAnswer: -7332.31397657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 7174 + s - 7176. Give x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g - 12. Let j be h(6). Is j\/21 + -3 + 1270\/35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3287010 + 62620827528\/19051. Let j = -482980790\/171459 - q. Let l = j + 2814. Find the common denominator of 151\/6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 1, e: 1, y: 2, j: 2}. Give prob of picking 1 a and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(84)\/(-2*sqrt(9)\/sqrt(3)) + -2.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.644? (a) 2 (b) 3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose -36 = -3*w - b*w. Suppose -l = 2*j - 13, -l + 2*l = -5*j + 28. Solve 3*r - o - 11 = o, -3*o = j*r - w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1 - 5)*(-234)\/156. Solve 4*p + j - 22 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 1\/3, -0.8, -7, -0.5, 40, -6?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 + 27*y**3 - 103)*(2*y + 5 - 5) + 3*y**4 + y**2 - 3*y**4 + 3*y**4.\nAnswer: 57*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5.5. Let v = -4 + 3.6. What is the nearest to -2\/7 in -4, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16779 is divided by 121.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26771 - 16388. List the prime factors of i.\nAnswer: 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 37 = -3*p. Suppose 3*h = 26 + p. Solve 0 = -d + 2*k - 6, -5*d + 3 + h = 2*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -33\/26852, -1\/4?\nAnswer: -33\/26852","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*f - 89 + 131 = 0, -3*h - 2*f + 30 = 0. Suppose -2*r - 2*j + 9 + 1 = 0, 4*r = -5*j + 22. Solve -r - 5 = h*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 1. Let p be (-1 - (-2 + 0))*1. Let k be z(p). Let q(n) be the first derivative of n**2\/2 - 4*n + 5. Determine q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*u - 36*u - 99687 - 91278. What is the highest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 1. Let m(q) = -5*q. Let n(o) = 6*h(o) + m(o). Let i be n(7). Let k be (2\/(-8))\/(6\/(-8)). Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32344 + 23352. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 7:15 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1375 - 1376 - (1 + -49 + -3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 10*q**5\/9 - 46*q**4\/9 - 230*q**3\/9 - 314*q**2\/9 - 172*q\/9 - 32\/9 = 0?\nAnswer: -1, -2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8297795 - 16596430 + 18*p + 8298635.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 1610821*v - 2594744294041\/2.\nAnswer: -(v - 1610821)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22922 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4512\/60 + 1\/(-5). Calculate the smallest common multiple of 50 and (7\/((-280)\/(-48)))\/(2\/b).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -2. Let d = j - 14. Let m be (d\/(-28))\/(13\/52). Does -1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(5 + 1*(sqrt(1053) - (sqrt(1053) + ((sqrt(1053) - ((0 + 1*sqrt(1053) + sqrt(1053) - sqrt(1053)) + sqrt(1053)))**2 - sqrt(1053))))*4) + -4.\nAnswer: -36*sqrt(13) + 4208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 818 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5153174 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -99?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1. Suppose -j + 5 = 6. Let g(m) = m**2 - 1. Let l(c) = j*z(c) - g(c). Let n(x) = 2*x**2. Give l(n(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049778 rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (56 + -55)*5*1. Suppose j*w + 5*h - 40 = 0, w + 30 = 6*w + 3*h. Calculate the remainder when 88 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -14 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1.8. Let w = -3.3 - -2.3. Let b = q + w. Is b greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2)\/2 + 0. Let j = 0.01 - -4.99. Let v be 3 - (380\/65 + -3). Which is the nearest to t? (a) v (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -7346.\nAnswer: -7346.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -9. Let c = 2 + h. Solve v - 4 = m - 6, 3*v = 5*m - c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 31. Let f be 0\/((-8 - -3) + 3). Suppose -5*t + 2 = -t + 2*k, -5*t - 2*k + 4 = f. Solve t*a = 3*x + w, -a = -2*a - 4*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 12*w - 12. Suppose -66 = 274*x - 285*x. Calculate v(x).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19470 and 2090.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - v - 2 - 3)*(7*v - 7*v - v).\nAnswer: v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtr when three letters picked without replacement from {t: 8, d: 1, r: 4, v: 7}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117.032 + 117. Let i = 2.968 - f. Let p = -1.3 + 0.3. Sort p, i, 1 in decreasing order.\nAnswer: i, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/7))**(7\/11) assuming v is positive.\nAnswer: v**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4841 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*q**3 - 735 - 215\/3*q**2 + 805*q.\nAnswer: 5*(q - 21)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-42)*-1*-8.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1862 and 1041257.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1198088*h**2. Let d(x) = -21*x**2. Calculate d(f(j)).\nAnswer: -30143711970624*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.008. Let d = -0.008133 - j. What is d rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from vcvcvcccvvcvcvcc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = -2*a + 14 - 44 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -756 - -775. Suppose r - u = 3*w, -25 = -r - 3*r - 5*w. What is the smallest common multiple of 16 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27.06, -0.3, -1.96, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/3))**(-11))**(-17\/4)*(u*u\/(u*u**(-9\/5)\/u)*u*u*u*u**(8\/7))**(-8) assuming u is positive.\nAnswer: u**(-127\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 10, q: 1, s: 2}. What is prob of picking 1 q and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 12, v: 5}. Give prob of picking 3 v.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -36. Solve -5*a - p = -11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 9*h. Let c = 16 + -25. Let z be m(c). Let r be -2 + (16\/9 - z). Sort 3\/5, r, -11 in increasing order.\nAnswer: -11, r, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2800)\/(-680) - (-4)\/(-34). Suppose r*w + w = 25, 4*w = -3*l + 296. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1677685*m*s**2 + 281270*s**2 - 2 with respect to m.\nAnswer: -1677685*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*p**4 + 183*p**3 + 336*p**2 + 195*p + 24 = 0. Calculate p.\nAnswer: -8, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*s - 3*t, -4 = 2*s - 6*s - 3*t. Solve 9 = -2*c - 5*d, 0*c + 3 = -s*c + 5*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**3 - 177*x**2 + 352*x**2 - 175*x**2.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387.513799 - 49.9.\nAnswer: -437.413799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y + 44. Suppose -c - y = -5*c. What is the greatest common divisor of 77 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (1 - 21) - (-11 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152500 is divided by 9530?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 + 5*r - 8. Let h be q(-7). Suppose h*s + 14 = 2. Let z be -2*(4 + (3 - (-146)\/(-24))). Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 51, 71, 109, 171, 263, 391, 561?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 483580986 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 83, 126, 169, 212?\n\"Answer: 43*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -9. Calculate the common denominator of (m\/7 + 0)*11 and -25\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 + 7. Let y = t - 0.1. What is the second biggest value in 0, y, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + -0.3053. Round y to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3988*n**3 - 7*n + 2203. Let g(d) = -3989*d**3 + 6*d - 2199. Let l(b) = 6*g(b) + 5*w(b). Differentiate l(v) with respect to v.\nAnswer: -11982*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -475 + 475.638. Let w = 5.903 - 5.2991. Let c = w - p. Round c to 3 decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.30940929171 + 13.6\nAnswer: 13.90940929171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11110000101100000000100?\nAnswer: 11110000101100000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -6. Let p = 6 + g. Sort -5, 1, p in decreasing order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 3. Let d(h) = 5*h + 10. Let s(q) = 8*b(q) + 3*d(q). Let x be s(6). Suppose 5*v - 52 = -n + 32, x = -3*v - 4*n + 64. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -45.7. What is the nearest to -0.1 in 0.04, m, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - sqrt(176)*-3)*6 + 0 + -5*1*sqrt(176)*3)**2*-5.\nAnswer: -71280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + -12)*(-2)\/(-6). What is the third derivative of -7*g**2 - 10*g**4 + 166*g**5 + g**6 + w*g**6 - 166*g**5 wrt g?\nAnswer: 120*g**3 - 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46350*m**3 + 15450*m**3 + 15446*m**3 + 15450*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 9. Let b be x(6). Suppose 12 = -b*t + 39. Calculate the remainder when -1 - (-5)\/(5\/18) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(242) + 0) - (sqrt(242) + -1)*-1.\nAnswer: -55*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 360 + -3238\/9. Put -5, f, 2\/13 in increasing order.\nAnswer: -5, 2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(2\/3)*(p**1\/p)\/p**7*(p*p**11*p*p*p**(-3\/4)\/p)**21 assuming p is positive.\nAnswer: p**(3019\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -s. Solve o - s = 5*t, -4*t + 2*o = t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + 2.9. Put 5, r, -1 in increasing order.\nAnswer: -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/20328 and 51\/320047.\nAnswer: 929416488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -14967202.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/15 (b) 2\/5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of ((-10)\/6)\/(14 - 9092\/648)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -2*m - 2*v, 0 = 2*m - v + 19. Let j be 1 + -1 + 5*-1. Is m less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -83, -41, 37, 163, 349?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*x**6 + 19*x**6 - 17*x**2 - 11*x**2 - 7*x**6 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t - 86 = 30 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81956 + -0.04?\nAnswer: 81955.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28858*v**3 + 2684*v**2.\nAnswer: 173148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (-9 - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + t**2 - 3 + (2 - 2 - 2)*(-3*t**2 - 7*t + 7*t) + (5*t - 10*t + 0*t)*(-2 + 3*t + 2) to l*t**2 + s*t + h and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 1013 = 1441. Suppose 3*v + g = 1519. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -52. Let h be s\/5*(84 + -4). Let m = h - -188\/3. Sort -7\/2, m, 1\/2, 0.2.\nAnswer: -7\/2, m, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/9 - 44*v\/9 + 104\/9.\nAnswer: -4*(v - 2)*(v + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -111011011111111001 (base 2) to base 14\nAnswer: -64b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*k**2 + 236\/3*k - 762.\nAnswer: 2*(k - 9)*(k + 127)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 165 = -3*o + 4*g, 13*o = 4*g + 769. Solve -o*n + 90 = -43*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1312 + 1311.8618. Let o = x - -0.0733. What is o rounded to three decimal places?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0 + 7\/6*r**3 + 0*r + 5\/24*r**4 + 2\/15*r**5 - 1\/120*r**6 + 25*r**2. Is d(7) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufoo when four letters picked without replacement from oufouuufouuu?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -123. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 794.9177cm?\nAnswer: 7949.177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**7\/1050 + 17*i**6\/600 + i**5\/15 - 3*i**4\/10 + 87*i**2 - 2. Let f(c) = 0. What is c?\nAnswer: -2, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 - 3*l - 5. Let o be h(-2). Suppose 3*q - 177 = o*m, 0 = -5*m + 2*m. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11761503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 7. Let f be -10*(-3 - 20\/(-8)). Give a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 23964710?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 1139, 9, 0 in ascending order.\nAnswer: -7, -4, 0, 9, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 2174 = 142*b + 2065 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3, -32, -1, -1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -297*v - 436*v + 727 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 7*w - 6*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 35*w**2 + 208*w + 229. Determine x(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13*3)\/((-12)\/(-504)*63))\/(-4)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -31 (c) -2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by 1.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2207664 divided by 122648?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 19*a**3\/6 + 19*a**2\/2 - 14*a. Let q be b(15). Suppose 6*l = 2*l + q. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q + 5*x - 127, x = -3*q + 158. Suppose 3*t - q = -0*t. Does 8 divide (1 - t)\/((-1)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99760 divided by -202.\nAnswer: 49880\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1551)\/1914 - (14\/12 + -2). Put l, -3, 6 in increasing order.\nAnswer: -3, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/5 + 41156648*x\/5 - 105866854662244\/5.\nAnswer: -4*(x - 5144581)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3156 = 8*s - 2564. Let w = 1009 - s. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:06 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 231519.5 litres?\nAnswer: 231519500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/21 + 0)\/(75\/(-50)). Which is the closest to 1\/2? (a) -1\/5 (b) u (c) 64 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32386979 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 - 7)*(-z + 0*z - 2 + 0*z) as a*z + w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqldlqlqdllll. What is prob of sequence qq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 132 = -960146*u + 960143*u, -k + 84 = 2*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/5 + 55*f**4\/3 - 522*f**3 + 1458*f**2 - 7*f - 18. Factor x(p).\nAnswer: -4*(p - 27)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 30 = 5*c, 3*c = -2*n + 5 + 13. Solve 21 = -3*f + c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3*n - 486*d**2*n + d**2 + 295*n + 4 wrt d.\nAnswer: 3*d**2*n - 972*d*n + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 151. Differentiate u**p - 38 - 542*u - 542*u + 1099*u with respect to u.\nAnswer: 2*u + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 27 = 3*a, 3*a - 9 = y - 3*y. Let s = 13 - y. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.599489 to 2 decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-222 - -238) + 0 + -31?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2357339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) 199 (b) 2 (c) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 635.52 + -635.3. What is the closest to 1\/3 in -7, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14\/9 (b) 14 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 5. Let t(c) = 3*c + 3. Let b be t(0). Let o(j) = 1. Let i(u) = 1. Let m(w) = b*i(w) - 4*o(w). Determine g(h) + 5*m(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163358215 is divided by 213.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-8)\/((-160)\/(-12))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212210 (base 3) in base 16?\nAnswer: de6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*u - 1 = 0, -31*x - 2*u + 52 = 201 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(5*sqrt(21)\/sqrt(3)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 + 21*w**3 + 6*w + 11*w - 20*w.\nAnswer: 28*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7742 and 168270.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1206 - 27740\/23. Let o = 4.37 + -4.1. Let g = o - 0.37. What is the third smallest value in v, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -2\/11, 4669\/12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3706.2327 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -18 + 66. Suppose -4*f + 6 = -z. Suppose 6*h - 171 = -f. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (2\/2 + 0). Let t(m) = -m**3 - 7*m**r - 1 + 0*m**2 + 0*m**3. Let x be t(-7). Which is greater: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/6 - 5*a**2\/2 + 4*a. Let i = -9 + 3. What is the units digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = 5*y + 2*d, -5*d + 6*d = -5*y + 496. What is the greatest common factor of y and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/5)*z)**(-11\/3)*z**(1\/4)\/(z**(1\/2)*z))\/((z*z*z**(2\/5)*z)\/((z\/(z*(z**(-1\/5)\/z)\/z))\/z))**28 assuming z is positive.\nAnswer: z**(-4123\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11668987 and 4675.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -91 (b) 747 (c) 0.5 (d) -3 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24417460429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Let z = -5\/67 - -209\/1005. Which is the nearest to 2\/9? (a) -0.3 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(98)*3 + 1 + sqrt(98) + 6*(sqrt(98) - (3 + sqrt(98)))))**2 + -1.\nAnswer: -34272*sqrt(2) + 66851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = 4*n + 39*w - 24064, 0 = 5*n - 2*w - 30052. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 439*h - 119*h + 108*h + (-1 + 2 - 2)*(-2*h - 5*h + 3*h).\nAnswer: 432*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 2. Let v(t) = t + 6. Let g be v(0). Suppose -g = 3*n - 5*n. Suppose 4*u + n*d = 17, 7*u + 3*d - 19 = 2*u. What is f(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*n**4 - 7*n**4 + 15*n**4)*(0 + 1 + 1) as j*n + y*n**2 + k*n**4 + u*n**3 + f and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 3. Let g(z) = 2*z - 2. Suppose -p = p + 6. Let u be 3\/(-2) - (-156)\/24 - 4. Let y be 6 + 16*u*(-16)\/32. Determine p*g(t) + y*f(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -24. Put 5, n, -1, 2 in increasing order.\nAnswer: n, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201923 is divided by 57.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(c*c\/c**5*c))**(-9) assuming c is positive.\nAnswer: c**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00274 rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4753901988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jujj when four letters picked without replacement from {j: 1, i: 2, b: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12*q = -16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 55 = 89*f - 183 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4, 7 + 12 = p + 4*r. Suppose 0 = -6*k - 9 + 225. Suppose k = 4*a - 72. Calculate the greatest common factor of p and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h**2 - 6*h + 6. Let u(p) = -p. Let r(l) = g(l) - 3*u(l). Determine r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 1 - 11 + 4*q.\nAnswer: 4*q - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 1.2. Let y = 109934 + -109930. What is the closest to y in 0.2, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 179 = -44. Solve 6*s + q = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82665333.\nAnswer: 3, 19, 161141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/5, 77 in descending order.\nAnswer: 77, 3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*h**4 + 18 + 3*h**3 - 20 - 266*h**4 - 3*h**3 - h to b*h + p*h**4 + j + r*h**3 + i*h**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 = -4*d - 2, -d = -3*i - 3. Let c = 2 + d. Suppose -5*v - 1 = c*o - 0, -v + 9 = 5*o. Solve o = u - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*i**2 + 70*i - 12*i**2 - 69*i.\nAnswer: -180*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078) + (sqrt(1078) - -1*(sqrt(1078) + -3*sqrt(1078) + sqrt(1078) + sqrt(1078))) + sqrt(1078))\/(sqrt(10)\/(4*sqrt(720))).\nAnswer: 1008*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 + 2 + 7 - 1 - 4*x - 7. Let v(d) = d. What is g(q) + 6*v(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*l - 177, 4*y + 4*l - 5*l - 236 = 0. Suppose 3*w - y = 79. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 14160?\nAnswer: -14163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-3)\/7)*(-660)\/(-77). Let f = q - -29. Is -31 != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -847, -3, 1, 10, -38 in increasing order.\nAnswer: -847, -38, -3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1035 divided by 1728.\nAnswer: 115\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -50. Let z = 34 - 29. What is the closest to -3 in -0.5, z, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 558\/17 (c) 0.5 (d) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - b**2 + 4)*(2*b - 2*b**3 - 2*b) + 3*b**5 - 3*b + 3*b + 0*b**5 - 3*b**5 + 4*b**5 + (2*b**3 + 2*b**3 - 2*b**3)*(2*b**2 + 2*b - 2*b).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 11010000010010111101110?\nAnswer: -11010000010010111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12494 by -2.\nAnswer: -6247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (378 - 34 + 668)*(4*l**2 - 2*l**2 + 0*l**2) to the form i + u*l**2 + d*l and give u.\nAnswer: 2024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d - 24*d - 13*d**2 + 14*d. Let p(j) be the first derivative of 2 + 0*j + 0*j**2 - 1\/3*j**3. Calculate u(p(h)).\nAnswer: -13*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2585 - -713?\nAnswer: -1d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 + 136*i + 373. What is u(-10)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2185*v + 2179*v + 18246. List the prime factors of v.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 3*n + 2*n - 3*n. Let r(x) = x - 1. Suppose 0 = 5*a + 6 + 4, -3*p = 3*a. Let z(t) = 3*t - 2. Let j(w) = p*r(w) - z(w). Calculate h(j(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 56 = -3*d, 0 = -2*d + 3*o + 26 + 10. Let n(c) = -c**3 + 13*c**2 + 3*c - 19. What are the prime factors of n(d)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 - q - 8*q**2 - 9*q)*(7 + 2 + 3).\nAnswer: -12*q**2 - 120*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmbopbo. Give prob of picking 2 b and 1 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**6 + 2403*k**4*n**3 - 122*k**2*n**3 - 6*k*n**3 wrt k?\nAnswer: 240*k**3 + 57672*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16724.1915 times -0.1?\nAnswer: -1672.41915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018447078.\nAnswer: 2, 11, 113, 37243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17826 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78917879.\nAnswer: 103, 701, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1 - 1. Let b(z) = -z - 6. Let u be b(-6). Suppose 3*w - 21 = -u*w. Calculate the smallest common multiple of n and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*m**2 - 7*m**2 + 10*m**2)*(3*m + 0 + 0)*(4*m - 10 + 10).\nAnswer: -252*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6632895 times 0.2?\nAnswer: -1326579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.71 and 0.14.\nAnswer: 7.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11902 + 11902.03. What is the third biggest value in 4\/5, -3, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2. Let u(h) be the third derivative of -41*h**5\/30 - 163*h**2. Determine u(v(i)).\nAnswer: -1312*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + u**2 - 2. Let c(z) = -z**3 - 7*z**2 - z - 8. Let q be c(-7). Let n be 12\/8*2*q. Let d(y) = -y**3 - 1. Calculate n*d(s) + 2*x(s).\nAnswer: -s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 3. Let u(p) = 3*p**2. Determine k(u(w)).\nAnswer: -18*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 1\/(2\/(-12)). Let r = h - 1. Suppose 4 = -r*l + 7. Let v(k) = 4*k**3 - 2*k**2 + 2*k - 1. Calculate v(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2251890 and 1425280?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*d**5 - 92065*d**4 - 3*d**2 - 280407*d - 1?\nAnswer: -3000*d**2 - 2209560*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n**6)\/n))\/n*n\/(n\/n**15))\/(n**0)**(-26))**(1\/9) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -187, -425, -769, -1225, -1799, -2497?\n\"Answer: -d**3 - 44*d**2 + d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99384 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/(q\/(q\/q**(6\/7))*q))\/q*q*q*q**(-5)\/q*q*q*q)\/((q*q*q**(-12))\/(q\/(q\/(q*q**11)))) assuming q is positive.\nAnswer: q**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108, -397, -876, -1545?\n\"Answer: -95*o**2 - 4*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1152\/42)\/(-2)*(-9464)\/2028\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 6 - (-23)\/(-25). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-24\/5)\/(y**(-2)*y**2) assuming y is positive.\nAnswer: y**(-48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 6. Suppose 0 = -a + 5*o + 20, o + 8 - 23 = 4*a. Let p(h) = -9*h + 11. What is a*i(s) + 3*p(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-12)\/4) + 162. Suppose -5*v - k = -p, 4*p + 5*v - 296 = 2*p. What is p rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -1 + g + 2\/3*g**3 + g**2. What is the lowest common multiple of 7 and i(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*d + 12915959 - 12915507 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let w = 1327.4 - 1444. Let y = w - -117. Which is the closest to m? (a) y (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29627 - -50312. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 71*n + 1662. What is the lowest common multiple of 372 and p(18)?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 + 13344*s**2 + 811812*s - 1676976 = 0. What is s?\nAnswer: -62, 2, 4508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 16. Suppose 18 = -3*b + 66. Let g be f(b). Solve 0*s - 5*s - 5 = g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*g - 14, -3*g + 3*z + 10 + 2 = 0. What is the third derivative of 307*a**2 + 134*a**2 + 57*a**3 - 303*a**g + 11*a**3 wrt a?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h - 2. Let m be l(3). Suppose 5 = -4*j - m. Let t(b) be the second derivative of b**3\/6 + 6*b**2 + 1067*b. Determine t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*y**3 + 3*y**3 + 6*y**3 - 15*y**3 + y**2 to q*y**2 + u*y**3 + a + g*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 + 2. Let h(x) = 6*x**2 + x - 1. Determine 3*h(w) + 2*r(w).\nAnswer: 4*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*x - 105*x + 2 = l, 5*l - 4*x - 9 = 0. Determine b, given that -1\/2*b + l - 1\/2*b**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.4 - 54. Let o = 5 + d. Suppose -3*r - 9 = -13*f + 12*f, -5*f - 4*r = 12. What is the third smallest value in f, -2\/9, o, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 194012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468104 and 61607.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 divided by -2?\nAnswer: -861\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 - 50*o**4\/7 - 146*o**3\/7 + 180*o**2 - 1053*o\/7 - 270 = 0.\nAnswer: -5, -6\/7, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217587\/5 + -43511. Let q = 3\/11 + 7\/55. Factor q*r**2 + 16\/5*r + z.\nAnswer: 2*(r + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 3*g + 5. Let k be (25\/10)\/((-2)\/4). Let h(i) = -3*i**2 + 5*i - 10. Let q(u) = k*f(u) - 3*h(u). What is the units digit of q(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 18906 = -f. Suppose -3604 = -2*d - f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -210. What is the tens digit of (-5)\/((6\/a)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/6 and 85\/622.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) - 2*sqrt(171)*2))\/(-2*sqrt(81)\/sqrt(225)).\nAnswer: -45*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*b = -984 - 1829 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 18 - 3)*(4*m - 2*m - m) + 8*m + 4*m - m.\nAnswer: 137*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 10*w**2 - 9*w + 1. Determine d(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 44 + 5 = -5*o, o - 5*k + 1 = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*c + 64, 0 = 10*n - 13*n - 3. Let t = -125 + 224. Calculate the remainder when t is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8950)\/(-720) + 2\/16)\/(11\/99)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0605 and 0.46.\nAnswer: -0.02783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 15 = -4*l. Let m(v) = v**3 - 4*v**2 - 4*v - 1. Calculate m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4.5. Let t = i - 0.4. Is t > 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1571615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245356 is divided by 80717?\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = -3*g - 4*l, 3*g + 2*l - 151 = 456. Does 35 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -759 by 11.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32637620 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -64*a + 1028. Let l be w(16). Let c = -18\/13 - 3\/26. Sort l, 0.4, 0.5, c in descending order.\nAnswer: l, 0.5, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 13149 - 2184 = 0. Let t = 863 + g. Solve -11*l = 3*l + t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54442 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 12. What is the greatest common divisor of 28 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(10\/4)\/5. Let d be (-5)\/(k*(-1)\/3). Let z = d - -8. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/12*(1 + -5). Solve 3*h - 4 = -4*v + 5, d = 5*h - v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 3392606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 4. Let y be n(4). Let d = 12 + y. Suppose d*c = -0*c. Solve c = 4*h + 14 + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (1 - 1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18.5302 minutes?\nAnswer: 1111812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712213.\nAnswer: 1712213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v - 2 - 3*v - v**2 + 3 - 2. Calculate the remainder when j(-6) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/7 + 7152*q**2\/7 + 28596*q\/7 + 28592\/7.\nAnswer: (q + 2)**2*(q + 7148)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -266228 minus -909.13?\nAnswer: -265318.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5596 - 0.0596. Let u be 34\/9 + 4\/18. Sort u, -0.4, 1\/9, q in increasing order.\nAnswer: -0.4, 1\/9, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 = 0, -x = -4*x + 3*r + 447. Calculate the highest common factor of x and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/7 (c) 0.1 (d) -0.05 (e) -281 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eettleteeeeeeeteett. Give prob of sequence ttlt.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986 is divided by 111.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10506500 to the nearest integer?\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -32, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/18 and 43\/696.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 + 2*c**3 + 28*c**2 - 48*c = 0. What is c?\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 2*d + 5. Let f be z(4). Suppose -h = 5*v + f, -3*h + 4 = 3*v + 7. Solve 0 = -5*c + h - 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 2 = -17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose 0 = -3*k + 3*i - 9, -k + 0*k - h*i - 13 = 0. Sort 5, -1, k in increasing order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -702 + 451. Let x = i - -233. Sort 3, x, 0 in increasing order.\nAnswer: x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101141 greater than or equal to -101136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -10, -2, 4 in ascending order.\nAnswer: -10, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 4*h + 2*h + (2 - 3 + 0)*(4*h - h - 2*h) - 134235*h - 1 + 133905*h + 1 to i + l*h and give l.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3864.9995643 - 3865. Round g to five decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/16, -0.08, -1\/5, 3, -9, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 120 = 4*i, 5*i - 10*c - 32 = 7*i. Solve i*u - 37 = -13*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/172 - 131\/344. Let s = -2 - -2. Which is the second smallest value? (a) 3\/4 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 2*a**2 + 2*a**2 + (a**3 + a**2 - a**2)*(-3*a**2 + 4*a**2 + 0*a**2) + 4*a**5 + 2*a**5 - 5*a**5 + 0*a**5 + a**5 + 4*a**4 - 3*a**4.\nAnswer: 5*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 2, d: 6, v: 3, b: 4}. What is prob of sequence vybb?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-4) - -2*1\/(-8). Let n(u) = -2*u - 1. Let s be n(-3). Let a = s - 3. What is the biggest value in a, 0, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let r(o) be the third derivative of -407*o**4\/12 - 2*o**3\/3 - 2725*o**2 - 2*o. Determine r(b(h)).\nAnswer: 1628*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Suppose -3*r + 2*p = -13, l = -5*p - 23. Suppose -y - 5*d + 3 = 2, -3*y - d - 11 = 0. Put r, y, -1 in descending order.\nAnswer: r, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 + a + 1. Let l be k(-1). Let v be (l\/(-3))\/((-1)\/(-2)). Suppose -v*o = o. Let s(c) = -c**3 - c**2 + c - 6. Determine s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428865 is divided by 1083.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2915250441.\nAnswer: 3, 971750147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13 (b) -3 (c) 27\/7 (d) -1 (e) -0.46 (f) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.16, 89, -1\/4, 3, 2, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 58*f**2 + 23*f**2 + 25*f**2.\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36636.\nAnswer: 2, 3, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 145662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + -35. Let z = 83 - a. Suppose 5*l - z = 9*m - 4*m, 2*m - 26 = -4*l. Calculate the greatest common factor of 42 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*c*l - 251*c*n*v + 4*c*n + c + 3*l*n**2*v - 2*n**2 wrt v?\nAnswer: -251*c*n + 3*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 141711 and 4.\nAnswer: 566844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355575.7cm to kilometers.\nAnswer: 3.555757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15510\/240 - (8 + 1)) + 3. Is i greater than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o, -2*q + 4*q + 4*o - 416 = 0. Suppose -4*c - 2*b - 110 = -880, c + 2*b - q = 0. Suppose c = 19*i - 17*i. List the prime factors of i.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57993, 57987, 57981, 57975, 57969?\n\"Answer: -6*y + 57999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1148, 2303, 3458, 4613, 5768, 6923?\nAnswer: 8078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/513, 0.039, -0.2, -3 in increasing order.\nAnswer: -4, -3, -0.2, 4\/513, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 + 309711*c**4*t**2*u + 26*c**2*t - 47*c**2 + 93*t**2 - 2*t*u - 1 wrt c?\nAnswer: -120*c**2 + 7433064*c*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10032 + -21?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let o be (2*(-2)\/(-6))\/((-2)\/(-39)). Suppose 4*x - o + 1 = 4*w, -9 = x + 5*w. What is the second biggest value in j, x, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssfsffgff. What is prob of picking 1 g and 2 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -71 + -40 + -4 + 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864200075?\nAnswer: 5, 127, 272189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + 7*q**2 + 6*q - 10*q**2 + 4*q**2.\nAnswer: q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292238717?\nAnswer: 292238717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 8469*r - 25380 = 0 for r.\nAnswer: 3, 2820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60261870 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004332671 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 21*d**2 - 18*d + 324. What is i(10)?\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 132659\nAnswer: 41\/132659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125799\/8 + -125793\/8. Let -3\/4*g**2 - n*g + 9 = 0. Calculate g.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000011110010 (base 2) to base 5\nAnswer: 232214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-171) - (-1364)\/(-38). Let n = u + 38. Factor j - 1 - 1\/4*j**4 + 3\/4*j**n - 1\/2*j**3.\nAnswer: -(j - 1)**2*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1435422 or 1435417?\nAnswer: 1435417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + 0*q - 2*q - 3 + 3 + (4 - 4 + 2)*(-q + q - 2*q))*(-4 + 2 + 1) + (2*q + 0*q + 0*q)*(-25 + 51 - 106)*(-4 + 1 + 4).\nAnswer: -152*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-3)*3 - -27. Suppose 3*h = -3*l + 6, -3*h + 3 = l - 3. Solve l = 5*x - 2*z + q, x + x + 5 = -3*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16 + 27174\/24)\/(3\/4). Solve -p + 1555 = -8*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36550511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 7\/2*y**2 + 1\/24*y**4 + 2*y + 0*y**3 + 0. Let h(m) be the first derivative of c(m). Let j(n) = 9*n. Give h(j(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 2*j**2 + 7*j - 11. What is d(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/117 - 3412\/36*-1. Suppose 38*j - 33*j - s = 0. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2893, -2895, -2897, -2899, -2901?\nAnswer: -2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 - 5*x - 3. Let o(n) = n**3 - 26*n**2 - 87*n + 3. Let j be o(29). Give w(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 13*b**2 - 3*b + 181. What are the prime factors of h(0)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 25. Let o be m(-9). Let k be (-18)\/21 - ((-55)\/o + 2). Let s(z) = 4*z - 7. Let y be s(5). Solve -5*b - 4*w + y = 0, -k*b - 3*w = -b - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a + 4. Let w(o) = 1. Give d(n) - 5*w(n).\nAnswer: -9*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -549 - -551. What is the fourth smallest value in 4\/3, -0.04, -1.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/15*k**3 + 2\/15*k - 8\/15 + 8\/15*k**2 = 0. What is k?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5569285 - 1857697\nAnswer: -1857697.5569285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iieeugiiieuuiipeuuii. What is prob of sequence pee?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/371 + 18536244\/636 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/182531 and -51\/21860?\nAnswer: 3650620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-6)*j**(-3\/5)*j*j**(-7)\/j**(-2\/11)*(j**2\/j**0)**(19\/4) assuming j is positive.\nAnswer: j**(-211\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(-119*(-305)\/(-2074))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 3*b**3 + b**3)*(48 + 5*b**2 - 48).\nAnswer: 25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2007525 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -28. Let a(c) = -2*c + 5*c + 2*c - 1. Let r be a(s). Solve -3*w - q = -r, w - 4 = -q + 2*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**5*s)**(-2\/21))**(39\/5))**18 assuming s is positive.\nAnswer: s**(-2808\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4547, -3, -2, 22, -1 in ascending order.\nAnswer: -4547, -3, -2, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14720 + -5329. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c - 14. Suppose -c*x - 60 = -8*x. Is 7 a factor of 200\/x + (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116945 greater than 2116946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2437716 and 0.4.\nAnswer: 2437716.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13477700 and 1300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -87. Let g be ((-6)\/10)\/(u*3\/30). Solve -20 = -3*w - 5*k, 5*w - g*w = 3*k + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402177471.\nAnswer: 3, 23, 409, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-1 + 2\/3). Let v be (-5)\/2*(-3 - g). Solve -3*m + v*m - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2595 or -262?\nAnswer: 2595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26682 is divided by 105.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8159*m - 22*m**2 + 4 - 2 + 16*m**2.\nAnswer: -6*m**2 + 8159*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*w = 76 - 67, w = 2*p + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65b9558 + 2?\nAnswer: 65b955a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45018, -45016, -45012, -45006?\n\"Answer: k**2 - k - 45018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1378868 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3921, -7783, -11631, -15471, -19309, -23151, -27003?\nAnswer: -30871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)\/((-2)\/8). Let z = 359 - 357. Solve -5*w + f = -b*f + 5, -z*f = 3*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64533 divided by 21511.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 45*o**2 - 36*o - 53. Is h(39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 13*g**2 + 13*g - 8. Let u be v(12). Solve 20 = -u*c - 2*t, 2*c + 2*t = -c - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125420 and 76?\nAnswer: 2382980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.3. Let q = 10 - 6. Let n be 3 + (q\/(-3))\/((-28)\/42). Which is the third smallest value? (a) n (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 222*r**2 + 8129*r - 3. Calculate l(-32).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 85533?\nAnswer: 85533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11158354092 + 11158354033.00000009. Let o = -0.097 + -58.903. Let z = o - x. Round z to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.77 less than or equal to -482\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x**2 - 2*x + 3*x**3 - 2*x**4 - x**3 - 15*x**2 + 3 + x**4 to the form g + k*x**2 + f*x**4 + d*x + q*x**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 0, -10 = -2*a - 1018*i + 1020*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 6:19 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -171*x - 255. What is the tens digit of m(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1575*0.07.\nAnswer: 110.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*c - 25. Sort c, 4, 0, -4.\nAnswer: -4, 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 + 52*i - 43. Let w be d(12). Which is the nearest to -0.1? (a) -1\/2 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57869 is divided by 11573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 5 (c) 68 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 142 + -90 - (6 + -11 - 97)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*t = 79, 340 = -1134*u + 1129*u - 4*t for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 h when four letters picked without replacement from {h: 1, v: 5, y: 9, o: 1}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -47. Suppose -179 = -t*z + 171. Let b = z + -69. Do b and -2\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 277478973, 277478972, 277478971, 277478970?\n\"Answer: -m + 277478974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10258190.\nAnswer: 2, 5, 1025819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5920*l**2*v + 40*l**2 - 46595832*l*v wrt l.\nAnswer: -11840*v + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019121, 2038240, 3057359, 4076478, 5095597, 6114716?\nAnswer: 7133835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/21 and 131\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2647 + -2644. Factor 100\/19*n + 2\/19*n**4 + 120\/19*n**2 + 28\/19*n**z - 250\/19.\nAnswer: 2*(n - 1)*(n + 5)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -3)\/(38\/4 - -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/16*12\/(-9)*478\/(-239)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17139*g**2*w**5 + g**2*w + g**2 + 1090*g*w + 144*w**2 - 61*w - 2 wrt w?\nAnswer: -342780*g**2*w**3 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 1 g when three letters picked without replacement from {q: 1, o: 4, g: 6, r: 1, x: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 - 5. Let n(i) = 6*i**3 + 1535*i**2 - 20. What is -4*m(r) + n(r)?\nAnswer: 2*r**3 + 1543*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -8 - (-8 - (-6)\/3). Put -4, -3, 0, v in decreasing order.\nAnswer: v, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 229642 and 3948.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77347, -68717, -60087, -51457?\n\"Answer: 8630*v - 85977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*9\/2 + (32604\/13)\/(-114)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 2. Let i be a(4). Suppose 2*t - 4 = i. Calculate the remainder when 5 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -6. Let s(f) = f**2 - 7*f. Let d be s(7). Suppose -h*q + q = d. Solve 0 = 5*c + 2*w + 25, q = -3*c - 2*c - w - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*a + 565*a - 7055 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113519*j**2*y + 9*j*y - 25*j - 12*y wrt j?\nAnswer: 227038*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 2241944485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*x - 24 = 0. Suppose -5*j + 19 = -4*f, -3*j + x*f + 0*f + 5 = 0. Let s(z) = 20*z**2 - z - 1. Let k be s(-1). Solve 3*d - k = j*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**3 - l**2 - 5*l - 3. Let b(f) = f**3 + 2*f**2 + f + 1. Calculate -3*b(v) - g(v).\nAnswer: -10*v**3 - 5*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 4*b - 551*r + 545*r, b + 2*r = -29 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*t**2 + 97662510*f - 7070180*t**2 + 4 wrt f.\nAnswer: t**2 + 97662510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1434 - 1394. Let l(o) be the first derivative of 20 - 5\/4*o**4 - 30*o**2 - j*o - 10*o**3. Factor l(d).\nAnswer: -5*(d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*r + 41, -4*r = 3*b - 2*b + 16. Suppose -x + 3*q - 22 - 44 = 0, 0 = 2*x - b*q + 140. Let a = 78 + x. Solve -h = -a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Suppose -3*j + 17 = -i*x + 2, -20 = -4*j. Solve -2*g + 2*k + 18 = 0, 4*g + 2*k - 12 = -x*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 677866 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5928)*-166 - (-80)\/(-2080)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749\/18 <= 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*116837396\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2663?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22054, -88289, -198680, -353227, -551930?\n\"Answer: -22078*h**2 - h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u - 2. Let h(o) = 12*o**2 + 2*o + 1. Suppose -5*k + 39 = -3*y, 42 = 4*k - 4*y + 6. Calculate the remainder when h(u) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 8*p + 165 - 9*p)*(p**2 + 0 + 0).\nAnswer: 2*p**3 + 165*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -22*d - 381. Calculate the remainder when 119 is divided by s(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftl when three letters picked without replacement from {l: 1, t: 2, f: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289\/60 + -5\/12. Is t less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 136, 5\/2, -31, 3, -1\/13672?\nAnswer: -1\/13672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 654*p + 15361. Determine b(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b - 138794 = 149060. What are the prime factors of b?\nAnswer: 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2 + 4. Suppose 3*h = -b*h + 200. Let s = 24 - 10. Calculate the remainder when h is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 97 - 94 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 772 or 1122?\nAnswer: 1122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 0 + 4*w**2 + 119 - 4*w**2 - 119.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/30*-1*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -13.8. Which is the third smallest value? (a) h (b) 4\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*l - 4*s + 9, 4*s - 35 = -5*l. Is (1*1642)\/(l\/(952\/16)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46756849 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3. Let l be d(1). Let n(x) = 47*x - 2. List the prime factors of n(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/((-444)\/18))\/(-74*(-9)\/(-24)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 8. Calculate the lowest common multiple of u(0) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiipiipi. What is prob of sequence ipii?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4243 - 0.38?\nAnswer: -4243.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 a factor of 4803596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/(-32) + -3105*1\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + s - 2. Let o(i) = -3*i**2 + 6*i - 3. Let h(c) = 5*m(c) - 2*o(c). Let a = -5 - 10. Let p = -9 - a. Calculate h(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2527 - 2524. Let o be 245\/105 - ((1 - 0) + 1). Let x be (-2)\/(-2)*(-6 - -1). Which is the third biggest value? (a) x (b) -1\/6 (c) o (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 501336, 1002671, 1504006, 2005341?\nAnswer: 2506676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5780 and 368764.\nAnswer: 1843820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 2. Let b be i(2). Let d(l) = -4*l - l + b*l + 2*l. Let h(z) = 3 + 3*z**2 - 3. What is d(h(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*c - 14930, -40*c - g + 18661 = -35*c. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*g + 1. Let r be ((-2)\/g)\/(-1) - 5\/(-15). Solve r*w + w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-72151452.\nAnswer: -6493630.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 22. Suppose 0*s - 28 = 4*s. Let x = s + k. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 = 0, 0*h = -4*w + 2*h + 34. Suppose -w = -v + 13. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**4\/6 + 2*r**3\/3 + 3*r**2\/2 - 4*r. Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/235)\/((-1)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 - 6 = 0. Suppose -5*u + s + 16 = -6*u, 3*s - 57 = 4*u. What is the least common multiple of (-3)\/((-5)\/u - (-21)\/(-36)) and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-18))\/((-10)\/(-12)). Let j(d) = -2*d**3 + 10*d**2 + 11*d + 7. Let l be j(6). What is the smallest value in y, 0.2, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2796\/3029 + (-17086)\/286 - 4\/(-22)*-1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/16 - -1)*(-23 + -1). Let n = p + 59. Solve n*r - 6 = -2*t + 1, r = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-13)*(7\/4)\/7\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017670 a multiple of 745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(14) - 2*sqrt(14))\/sqrt(7) + -1*-1*sqrt(72))**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/4)\/(3\/(-4))*-15. Let c(n) = n**2 - 2*n - 1. Let z be c(0). Sort z, -4, d in ascending order.\nAnswer: -4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -92. Suppose -q*k = -2*k - 3816. What are the prime factors of k?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - (-2 - -3))\/(4\/240).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177920 and 213504?\nAnswer: 1067520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**4*y - 13*k**4 + 5294*k**2*y - 428595*k*y - 2 wrt k?\nAnswer: 60*k**2*y - 156*k**2 + 10588*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + f - 1. Let a(m) = -2*m**3 - 2*m**2 + 3*m - 1. What is -a(h) + 2*n(h)?\nAnswer: 2*h**3 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536.7759928 take away -4?\nAnswer: 3540.7759928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109 - 4*i**2 + 24*i + 3109 - 24*i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 32 = 5*w, w + 7*x + 2 = 4*x. Let j = w + -4. What is the biggest value in 3\/4, j, -0.07?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-16) + 9\/2. Let b = 6 - l. Is -3 + (b - (-52)\/4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2 + (5 + 5 + 2)*(-2 + 5 - 8))*(1 - 4 - 2*u + 1).\nAnswer: 118*u + 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2\/19, 0.03?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*218.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.04821615 rounded to three dps?\nAnswer: -52.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*28\/(-21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 11 = -43. What is the remainder when w is divided by (-88)\/(-14) - 6\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-18)*h)\/h)*(h*h\/h**(-6))\/h)\/(((h\/h**(10\/7))\/h)\/(h*h**(-4\/5))) assuming h is positive.\nAnswer: h**(967\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*f + 3*d - 137, -f - 519*d + 522*d - 19 + 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from srddhddrm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504190.3 litres to millilitres.\nAnswer: 504190300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/144 and 139\/3276?\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -424.6 - -424.4. Which is the fourth biggest value? (a) 1 (b) -1\/1113 (c) o (d) -3\/4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**2 - 2*a. Let f be m(2). Suppose 2 + f = -2*r. Let d = r - -15. Solve -c - 3 = -d*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 802, 1435?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/143 + (-36)\/(-26)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/53924 and 61\/22792?\nAnswer: 307258952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k - 2. Give s(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-7 - -9) + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 144 and 0.1.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/60 + l**4\/3 - 499*l**2. Factor n(o).\nAnswer: o*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 0, -42.1, 5, 4, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 7)*3\/4. Let z(v) = -v**3 - v + 6. Let u be z(0). Suppose -u*b + b = 5. Put k, b, 4 in descending order.\nAnswer: 4, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -1 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-46)*(4 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -9*c. Solve c = -3*d + 4*m + 6, m + 9 = -4*d + d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/(-84))\/(-8))\/(1\/3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -56230 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 10, 15 in descending order.\nAnswer: 15, 10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/37)*(b**(-15)*b)\/b)\/(b**7)**7 assuming b is positive.\nAnswer: b**(-2366\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 4*n + 6. Let u be q(-5). Suppose 29 = -5*m - u. Let p be 2\/8 + (-116)\/16. Is m smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*n = f - 4288, 4304 = 4*f - 4*n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let i(f) be the first derivative of -2*f**3\/3 + 289*f**2\/2 - 91. Give i(s(k)).\nAnswer: -8*k**2 + 578*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15*4)\/(((-378)\/(-45))\/7)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, -2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 29*z**3 + 9*z**3 - 12*z**3.\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p\/p**(-5\/2)))*p*p*p**(-2\/3)*p*p*p)**(-19) assuming p is positive.\nAnswer: p**(-779\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 - 3*g + 8. Let p(c) = -4*c**2 - 2*c + 8. Let w(b) = 3*f(b) - 4*p(b). What is the remainder when 65 is divided by w(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -402, 37.8, 3?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -29?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 186, 114, -156, -690?\nAnswer: -1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -26029, -0.05, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*t - 14 = -2*a, -4*t = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, v: 9}. Give prob of picking 1 v and 1 h.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*b - 357. Is -51 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -10002260.\nAnswer: -10002271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 100) + (-6243 - -6320).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49 (b) -23658 (c) 0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58621.03mg in micrograms?\nAnswer: 58621030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 23*x\/3 + 20.\nAnswer: (x + 3)*(x + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let w(v) = -2*v. Let i be (-12)\/42 + 92\/28. Determine i*j(q) + w(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 3*r - 2. Let q be z(2). Suppose 0 = 4*c - 3*t - 144, 2*t - 58 = -2*c - q*t. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 265 = -4*s, -3*f - 2*f = 5*s + 350. Let t = -36 - s. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (sqrt(325)*1)**2 + 1)*2 + -3.\nAnswer: 10*sqrt(13) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 22. Let c be m(-14). What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*22\/(-231)*14*(-3)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by -4\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27426011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*a = -770 + 427 + 2965 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 50 (b) -3 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1646045869 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45135.326 minus 0.3?\nAnswer: 45135.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 2*h**2 - 2*h + 55635. Let p be g(0). Suppose p - 11353 = 14*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -192.6, -135, -65?\nAnswer: -192.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 364235 - 67200. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 51. Let j(m) = -m - 2. Let a be j(-5). Suppose a*b = b + 12. Solve 2 = p*n - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i - 4 + 2 - 3 + 3*i**2 + 3*i. Is m(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**(4\/19)\/k))*k*k*k**(-13\/5) assuming k is positive.\nAnswer: k**(-132\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 710 and 4440.\nAnswer: 315240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 2.95. Let z = 1.4 - 3. Let n = z - -2. What is the third biggest value in n, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54999560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 + 184. Calculate the remainder when q is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 9:04 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*1 - (sqrt(11) + 0 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.32 (b) -5 (c) -518.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Solve -w - z*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/15 + (-1)\/((-30)\/1766)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6179*v + 24881. Determine f(4).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 57*i + 107. Give o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -193 * 25.3\nAnswer: -4882.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 5, 1475421, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*d**3*k**3 - 539*d**3*k**2 + 2*d**2*k**2 + 2*d**2*k + 2*d*k**2 + 11*d*k + k**3 wrt d?\nAnswer: 1164*k**3 - 3234*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 861 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 4*s + s)*(2 - 2 + 3*s**4 + (7*s**2 - 4*s**2 - 2*s**2)*(-s**2 + 0*s**2 + 2*s**2) - 2*s**4 - s**2 + s**2).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 16 = p, -4*p = p - 4*w - 62. Let z be (-4)\/((-8)\/p) + -2. Solve 0 = -z*r - 2*q - q + 40, 4*r = 5*q - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329 - -468. Calculate the remainder when x is divided by ((-184)\/(-44) - 4) + 273\/11 + -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*q + 16 = -3*d - 78*q, d + 8*q - 60 = 0. Let n = 211962 - 36881507\/174. Let l = n - -1\/58. Which is the closest to 2? (a) d (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*g = -3*w, -2*w - 3*g = -10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*x**3 + 4*x**2 - 2*x**2 - 15*x - 5*x**3 - 32*x as f*x**2 + a*x + p*x**3 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7359900 divided by -30?\nAnswer: -245330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 29. Calculate the lowest common multiple of 6 and (x\/8)\/((-3)\/(-60)*-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3213407 is divided by 247175.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 4031 - 1756 = 2077 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3198*o**2 - 3*o + 6. Let c(j) = -12797*j**2 + 11*j - 22. Calculate -6*c(z) - 22*w(z).\nAnswer: 6426*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 = -32*h + 426 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 15*l**2 - 5\/4*l**4 + 3 + 0*l - 5\/3*l**3. Suppose o(f) = 0. What is f?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -6 + 1\/3*j**3 + 13\/2*j**2 + 3*j. Does 33 divide k(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + 2*r**2 + 17*r**2 + 2*r to h + p*r + l*r**2 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*c + 2. Suppose -14*k - 5*k**c + 13*k**3 + 12*k - 2*k**3 - 4*k**4 = 0. What is k?\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8699846*k. Let t(d) = -d. Determine t(p(n)).\nAnswer: -8699846*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 21*g**3 + g**2 - 7*g + 30. Let b = -645 + 648. What is the units digit of f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -38*k**3 + 31*k**2 - 72*k + 36. What is t(2)?\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54001 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8) + 7 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3 + 17. Let d be 336\/33 - h\/22. Let x be (-1)\/(4\/d + 6\/10). Put -2, x, -4 in descending order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/4 + x**3\/3 - x**2 + 117*x + 4. Let w be p(0). What is the greatest common divisor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 9*u - 4. Let y be d(6). Suppose -y = 4*l + 18. Let z(r) be the first derivative of r**2\/2 + 12*r + 9. Calculate z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 + 3*j - 33. Determine y(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113613, -228159, -342705, -457251, -571797, -686343?\n\"Answer: -114546*h + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 196, 172 in increasing order.\nAnswer: 0, 172, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*r + 5*r - 6*r)*(2 + 2 - 7)*(-r + 0*r - r) in the form n*r**2 + o + u*r and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12187\/2 - 1109131\/182. What is the common denominator of t and 23\/78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = v + 3*h, 2*v - 27 = -3*h + 194. What is the remainder when 174 is divided by v?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 4647 - 327. What is the greatest common factor of 162 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:07 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-245)\/(-14)*5*(-18)\/225?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (13 + -18 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 26448246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 592\/3 - 29026\/147. Let y = k + -233\/98. Let n(p) = -p - 1. Let b be n(-1). What is the third biggest value in 2\/5, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/27, 2\/11, 0.1, -3\/2, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/20675 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1161 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*(-1)\/(-2)*((-1102)\/87)\/38?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136226 - -136246. Suppose -3440 = -2*u - 2*u. What is the highest common divisor of u and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 13, 390 in descending order.\nAnswer: 390, 13, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001101001 (base 2) in base 5?\nAnswer: -104224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 243241?\nAnswer: -243222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2434129 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 2. Let c be 7*-1*(-6)\/7. Let f be q(c). Let y = f + 1. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724196, -1448371, -2172546, -2896721, -3620896, -4345071?\nAnswer: -5069246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3329.83 + 3356. Is 2 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5588847 (base 12) in base 5?\nAnswer: -13141324444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243043 (base 7) to base 12.\nAnswer: -2175a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3913683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 1 - -4 - -8) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.001 + -0.001. Let w = -54244 - -54197.0066. Let s = w + q. What is s rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 9:10 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 10*n**2 + 17*n + 6. Let a be p(8). Let i(b) = -b**3 + 15*b**2 + 13*b - 14. What is the units digit of i(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(22\/8)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19179, 154725, 522631, 1239075, 2420235, 4182289?\nAnswer: 6641415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/9)\/(4\/6). Suppose m*h + 9 + 5 = -a, 0 = -5*a + 4*h + 17. Let n be (7 - a)\/(39\/26). Solve -3*p + p - n = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133155.\nAnswer: 3, 5, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1694509.\nAnswer: -1\/1694509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 453*r + 420. Let c(j) = -j**2 + 5*j - 1. Let g(q) = b(q) + 9*c(q). Factor g(w).\nAnswer: -3*(w - 1)*(w + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/((-2)\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 122 (b) -0.1 (c) -1.6 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1657.9999518 - -1658. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 - 36*x**4 - 92*x**3 + 36*x**2 + 432*x + 432 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 5202*s - 2424936.\nAnswer: 3*(s - 382)*(s + 2116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -7. Let z be (-3 + 2)*(-1 + s). Find the common denominator of 131\/18 and z\/(40\/147) + 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 24.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 24. What is the lowest common multiple of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3482 is divided by 72?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -31. What is the third biggest value in 8\/5, -1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -9*q**4\/7 + 1186224*q**3 + 35982291*q**2\/7 + 5535762*q\/7 - 22142952\/7 = 0?\nAnswer: -4, -1, 2\/3, 922623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4125 is divided by 67.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 1 (c) -0.5 (d) -0.029135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314779145 to the nearest integer?\nAnswer: 17742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -483\/5188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -12, -85, -2 in increasing order.\nAnswer: -123, -85, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 554 - 246. Let y be 1038\/22 + (-56)\/s. Suppose 8*i = 1655 - y. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, 2, -2\/9, 334\/105?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/2 - r**4 - r**3\/2 + r**2 = 0 for r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661842933?\nAnswer: 3, 220614311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 35 and 17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 11*f = 8*f - 20, -5*h - 25 = 4*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14084*l**2*p**2 + 5306*l*p - 2*p**2 wrt l?\nAnswer: -28168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -48*t**2 - 118*t - 10. Determine m(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8978587739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/13)\/(u\/(u**(2\/15)*u)))**15 assuming u is positive.\nAnswer: u**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + 6 + -3 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1747 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 789*m + 4374*m + 2728*m as f*m + l and give f.\nAnswer: 7891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/12)\/(25\/50). Let k = -7 + 7.4. What is the nearest to -1\/3 in 5, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -14, 10, 0 in increasing order.\nAnswer: -14, -5, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.1. Let w = t - -0.1. Let d = -10.4 - -10.4. Which is the nearest to d? (a) -2\/21 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-3*f**3 - 5*f + 5*f) + 1 - f**3 - 1 + f**3 + 5*f**3 - 3*f**3 - 3*f**3 - 5*f**2 + 5*f**2 + (2*f**2 + 1 - 1)*(-6*f + 2*f + 3*f).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-16)*-14 - -9. Determine k so that 2\/11 - 2\/11*k**v + 0*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-10)\/(-55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 12*n**2 + 11*n + 2. Let t be m(-11). What is the first derivative of 6*f**t - 118 - 41*f**2 - 3*f**2 + 131 wrt f?\nAnswer: -76*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 6*m**2 - 5*m + 2. Let t be s(-5). Suppose 8 = r + t*d, d + 0*d = 3. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3 + 1*sqrt(180))*4 + (sqrt(180) + -4 + 1*sqrt(180) + sqrt(180) - (sqrt(180) + sqrt(180) + sqrt(180) + sqrt(180) + 1*sqrt(180) + 2)))**2.\nAnswer: 216*sqrt(5) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvhhgkvg. Give prob of sequence hk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.84 and 2040.\nAnswer: -1713.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 18, 1\/2 in decreasing order.\nAnswer: 18, 2\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/15*(-3)\/2. Let m(z) = 4*z - 9 - 5 + 13 - 6 + 5*z**2. Is m(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.63 + -23.7. Let k = 0.07 + c. Suppose 0 = 4*g + 4*n - 64, 5*g + 3*n - 29 - 41 = 0. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408205 and 4360?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 7*p**2 + 7*p. Let r be u(-6). Let q = r + 5. Suppose -2*w - 4 = -0. Sort q, w, 0 in increasing order.\nAnswer: w, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95413*q**4*u**3 - 41*q*u**3 - 2*u**3 - 3181*u**2 + 6*u + 118 wrt q.\nAnswer: 381652*q**3*u**3 - 41*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/2791 and -19.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 32*n + 540. Give j(-12).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-84)\/(-405))*(8576\/(-4))\/(-8). Calculate the highest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 - 6*v - 5. Let j be g(5). Let x = -11 + j. What is the second derivative of 5*b**4 - x*b**4 - 4*b + 3*b wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5006130 and 5730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 1125 = 50*u, -71*u + 72*u = c - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 54.2. Let f = y - 6.7. Which is the biggest value? (a) f (b) 4\/13 (c) 3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/55*12430\/(-9040).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n + n)*(-3556*n + 4 + n**3 + 3556*n).\nAnswer: 4*n**4 + 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5161 - 2223 = -13*f. What are the prime factors of f?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3526.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31913*x**4 - 84160 wrt x?\nAnswer: 127652*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1.2 (b) 1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:56 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (13 - (-2 + 6)). What is the highest common factor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 454\/5, 4.3, -76.\nAnswer: -76, 4.3, 454\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -273145 - -543145. What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*-996623.1\nAnswer: 1195947.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4526 + 1524 = 29*y + 569. Suppose 3*n = -h + 46, 3*h + 0*n - 94 = 2*n. Let f = y - h. What are the prime factors of f?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j + 2. Let r = 331 - 311. Let o(s) = -12*s**2 - 10*s - 20. Let u(q) = r*z(q) + 2*o(q). Calculate u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 341*z**2 + 342*z**2 + 11)*(91 - 58 - 166)*(11*z + 5*z**2 - 11*z) as f*z + d + t*z**3 + i*z**4 + r*z**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/7 + 227284380*r**2\/7 = 0?\nAnswer: 0, 113642190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 2:22 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -734, -2758, -6078, -10694?\n\"Answer: -648*i**2 - 80*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6120.8121 rounded to the nearest 10?\nAnswer: -6120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -890 + 2?\nAnswer: -88c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 605\/(-242)*6\/(-55).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -11\/116 and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 2*w**3 + w**3 + (4 - 4 + w)*(-2*w**2 + 3*w**2 - 3*w**2) - 6*w**3 + 4*w**3 - 2*w**3 + (-5*w**3 + 3*w**3 + w**3)*(-3 + 2 + 3).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14272 is divided by 118?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4, -2*s - 3 = -3*z - 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -13, -20, -27, -34?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**2 + 60*g + 1. Let x be z(10). Let o = -1 - -1. Let b be -4*((-10)\/(-8) - o). Sort b, 4, x in ascending order.\nAnswer: b, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191\/3 + 3439\/54. Let l(f) be the third derivative of 12*f**2 - 1\/270*f**5 + b*f**4 - 1\/27*f**3 + 0*f + 0. Let l(z) = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 2*c + 7. What is k(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356 divided by 4.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255078?\nAnswer: 2, 3, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 281*v**3 - 16 + 5*v - 14 + 48.\nAnswer: 281*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -553 = -2*y + 1627. List the prime factors of y.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 7*a - 25. Give i(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -14. Suppose -2*n - 9 = -5*n. Sort -4, 1, u, n in ascending order.\nAnswer: -4, u, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -417117695 + 417117856.9999716. Let f = 162 - k. What is f rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (-1 + -1) - 0. Let d be (5 + y)*(-3)\/(-2). Let m = d - 0. Solve -3*q - h - 12 = -5*h, 3 = m*q + h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-6)*-9)\/9.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 190084328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 12. Let o(d) be the third derivative of d**4\/8 - 2*d**2. What is the units digit of o(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21778596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/45 - 34\/10. Let o be -12*a*1\/6. Suppose o*i - i - 425 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1278*n = 1569*n - 22776 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.21. Let b = 4.3 - 5.06. Let h = b - c. What is h rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1407, 2816, 4221, 5622, 7019, 8412, 9801?\n\"Answer: -2*g**2 + 1415*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/36)\/(-5) - 2\/12. Let b = -3296 + 3296. Solve o = 4*h - 2*h - b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, -11, -41, -91, -167, -275, -421?\n\"Answer: -v**3 - v**2 - 6*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.8. Let i = 55.7 + -50.5. Let s = i + f. Put 0.8, s, -1 in increasing order.\nAnswer: -1, 0.8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 967.13 + -966. Let t = -0.13 - -0.06. Let s = t - d. What is s rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*b, k - 5*b + 37 = 13. Suppose 0 = 4*i - k - 11. Is (0\/i - -51) + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8192, -10275, -12358, -14441, -16524, -18607?\n\"Answer: -2083*w - 6109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x + 12, -2*a + x = -468. Is a*(-1 + 255\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -30, -38, -38, -24?\n\"Answer: o**3 - 5*o**2 - 2*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 4 + -19 - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 292, 434, 564, 676, 764, 822?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**2*o + 41*j**2*v**3 - 6*j**2*v + j*o*v**3 + j*o + 119*o**2*v wrt o.\nAnswer: -j**2 + j*v**3 + j + 238*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1. Let r(z) = z + 8. Let h(n) = -4*c(n) + r(n). Let b(t) = -t - 5. Let v(x) = -4*b(x) - 5*h(x). Let m(q) = -5*q**2. Calculate m(v(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2342 - -2351. What is the fourth biggest value in 2\/3, 0, 2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*a = 13847, 5246 = 4*f - 3*a - 13226. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2185*q**2 + 303*q - 38. Let w(b) = b. What is w(n(u))?\nAnswer: -2185*u**2 + 303*u - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 327393239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 652 + -369. Let a = -279 + d. Solve -s - a*s = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1721\/7 - -246. What is the fourth smallest value in 4, -1.74, -5, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.57 - 8585.6219693.\nAnswer: -8514.0519693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107, 700, 2889, 7150, 14173, 24648, 39265?\n\"Answer: 115*n**3 + n**2 - n - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257519 is divided by 513.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w**2 - w + 7. Let d be ((-8)\/6)\/((-4)\/6). Let v = 32 - 6. Let c(q) = -28 + 2*q**2 + v + q**2. What is d*g(a) + 7*c(a)?\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/2 + -11\/18. What is the biggest value in h, 2\/3, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-22)) - (17 - 11).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - 7)) + (-3 - -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16497*b**2 - 2783*b + 287240981?\nAnswer: -32994*b - 2783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 2*a - 4*a**2)*(7256 + 756 + 3546 - 1006 + 1086) to the form r*a + l*a**2 + q and give l.\nAnswer: -46552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 875 - 871. Suppose -4*a + i = -2*a. Solve 8 = a*s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -658 - -659. Which is greater: v or 14\/335?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2905 (base 11) to base 6.\nAnswer: 25220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:05 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 9. Let t(u) = -u**4 + u**3 + u**2 - u. Let w(v) = -3*v**4 + 2*v**2 + 1. Let c(a) = f*t(a) + w(a). Factor c(o).\nAnswer: -(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5772\/(-65))\/(6\/(-20)). Suppose 0 = -2*z + 8 + x. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 2194190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4421\/(-44) - 51\/68. Let k = 201\/2 + a. Is 0 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 208 + 49 = 2*r, 4*r + z = -285. Let o = r + 80. Solve 9*s = o*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9703, -9707, -9715, -9727, -9743, -9763?\nAnswer: -9787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504882, -504631, -504380, -504129, -503878?\nAnswer: -503627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1349 and 1633?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2 - 2*m - 2) - 1 + 2*m + 1 - 3 + m + 3 + (-m - 2*m + m)*(0 + 0 - 2) + 0*m - m + 3*m - 7 - 12*m + 7 - 5 + 5*m + 5.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23595\/(-21450))\/(2\/(-20)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from mxxxqqqm.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = -a + 52, 5*a = 5. Let d(l) = l**2 - 7*l + 6. What are the prime factors of d(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176944 is divided by 44097.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/3*8*1. Let c be -2 + (-1)\/(b\/2 + -1). Let i(r) = -2*r - 2. Let x(p) = -3*p - 3. Give c*x(o) + 4*i(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/112 and 7\/63776.\nAnswer: 446432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*v - 71, -4*v + 347 = -3*k + 394. Let u(j) = j + 4. Let g = 3 + -6. What is the smallest common multiple of u(g) and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 8. Let d be r(6). Let o = -3298 - -3295. Sort o, 4, -5, d in descending order.\nAnswer: 4, d, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 > -1714\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720200 divided by -6?\nAnswer: 286700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 247d06 - -1?\nAnswer: 247d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + -1)*4*(-2)\/36. Let z(u) be the first derivative of u**3 - u**2\/2 - u + 1. Let a be z(q). Solve 2*k + 3*w + 13 = -4, w = 3*k + a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.35+-165\nAnswer: -166.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204345 (base 7) to base 6.\nAnswer: -3135251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 8, 230, 688, 1460?\nAnswer: 2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62271 is divided by 106.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.161.\nAnswer: -0.0483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -8333 - (-2 + (-1 - -1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-40)\/16)\/((-6)\/(-4))*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 7943100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 - 21*h**3 + 0*h**2 - 13*h + 22*h**3. Is 22 a factor of l(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -152519549, -152519550, -152519551, -152519552, -152519553, -152519554?\n\"Answer: -v - 152519548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*b**2 + 47*b**2 - 22*b**2 + 99 + 0*b - 3*b + b to r + h*b**2 + s*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3148.579 and -91643.372.\nAnswer: -88494.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*h - 9*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**2. Let v(r) = -53 + 193 - 141 + r**2 + r. Calculate -2*v(j) - y(j).\nAnswer: 9*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27670703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 10512792.1\nAnswer: -10512792.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68235 + 101404. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipparvv. What is prob of sequence rp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nxxxnxxxnnnnn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 817104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -405cb (base 14) in base 7?\nAnswer: -1213244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/((-8)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 454*o**2 - 6. Let f(s) = 6355*s**2 - 82. Calculate 6*f(v) - 82*x(v).\nAnswer: 902*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00239 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -3*g. Suppose -4*j = g*d - 24, 0 = 4*j + 2*d - 22 - 2. Does 5 divide (j - 3)\/(-3)*(-4 - 37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 51 = -s + q, 99 = -3*s + 145*q - 79*q - 72*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*h = 32, 4*f = 3*f + 2*h - 1. What is the units digit of -3 - f*(1 - 2) - -64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1657, -1655, -1651, -1645, -1637, -1627?\n\"Answer: g**2 - g - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38\/19 - (-1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -322*h - 308*h - 3 - 1387*h**2 + 949*h - 319*h in the form o + w*h**2 + r*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -984518\nAnswer: -1\/984518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16899 - 16897. Solve -5 = l - r*q - 1, -3*q + 13 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1\/2 (c) 239 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = 30*a - 20. Suppose -a*d + 59 = -285. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 47, 20, -47, -160, -325, -548, -835?\n\"Answer: -r**3 - 11*r**2 + 47*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + 180710060\/24. Suppose w = 4, -5*k - 5*w - 1529566 = -i. Round k to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 344\/120 - 4\/(-30). Let j(m) = m**2 - 2*m - 9. Let a be j(r). Let h be (3 - 58\/6)*a. What is the greatest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1785 + -c8?\nAnswer: 16bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2838 - -0.28401989. What is j rounded to 6 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029*-18605.\nAnswer: 539.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 241017594 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 3*w, -3*g = g - 5*w - 13. Let y be 2*g\/(28\/(-2)). Let r(v) = -3*v - 31. Let c be r(-9). What is the biggest value in y, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b3258 + -20?\nAnswer: 2b3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/255 - 43\/(-15). What is the nearest to 1\/8 in 1, c, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475840?\nAnswer: 2, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w. Suppose i = 3*i + 4*a - 6, -27 = 4*i - 5*a. Let x(b) = -3 + 3 - 4*b + b**2. Determine i*v(u) - 2*x(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*-2*sqrt(108) - (3 + -1 + sqrt(108)))**2 + (4*(-1 + sqrt(108))*-6)**2).\nAnswer: -14064*sqrt(3) + 130976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -4\/2017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1819?\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k. Let t(l) be the first derivative of l**5\/60 + 2*l**3\/3 + 4. Let s(j) be the third derivative of t(j). Calculate s(h(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -69, -70, -71, -72, -73?\n\"Answer: -w - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by -21\nAnswer: -65\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(-9))**(-15\/8) assuming p is positive.\nAnswer: p**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -341*v**2 + 13211*v + 3426. Give k(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130) + -1*sqrt(130) + sqrt(130) + sqrt(130))*4*3)\/(sqrt(110)\/(sqrt(11) - 2*sqrt(11)) - (sqrt(640) - sqrt(640)*2))*-6.\nAnswer: -216*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14761052?\nAnswer: 2, 83, 173, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*m)\/m*m*m**(-15) assuming m is positive.\nAnswer: m**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**5)**(-5\/14)*(p**(1\/3))**(5\/9))**(-1\/25) assuming p is positive.\nAnswer: p**(74\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (-4)\/5 + (-240)\/(-50).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*k + 78 + 12 = 0, -5*a - 399 = 2*k. Let t be 3*1*(-2)\/a. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xbbxbbbbbbbb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in 70, -3\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 13*p + 8 + 0 + 5*p wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25576380 and 90.\nAnswer: 25576380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 5*p**4\/4 + 2*p**3\/3 - 2*p**2 + 4*p + 67. Let h(r) = -r + 1. What is 4*h(q) - k(q)?\nAnswer: -5*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 5\/22 (c) 0.6 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 5*t - 3*t**5 + (t + t**5 - t)*(5 + 4 + 6)*(33 + 32 - 83).\nAnswer: -273*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37631 divided by 9?\nAnswer: -37631\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5821 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(2*sqrt(539)).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 - 2.2.\nAnswer: 59.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12080\/7 + 30\/(-42) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (-2 + sqrt(363))*5 + sqrt(363)*-1 + 5 + sqrt(363) - (2*sqrt(363)*6 - (sqrt(363) - ((sqrt(363)*-2 - sqrt(363)) + -1))))**2.\nAnswer: 176*sqrt(3) + 1468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -8*j + 615. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -5*f**3\/3 + f**2\/2 - 5*f - 10. Let r(c) = -26*c**2 + 6*c - 26. Calculate 3*r(i) - 16*v(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 149 + 160 = 2*x, 0 = 7*x + 2*j - 30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 522 + -255. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -44*f**4 + 13*f**2 + 17. Let v(j) = -15*j**4 + 4*j**2 + 6. Let l(w) = 6*o(w) - 17*v(w). What is the third derivative of l(q) wrt q?\nAnswer: -216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d + 14. Let n = d + 17. What is the greatest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*p - 3*p + 20, 0 = 3*p - u - 16. Suppose 0 = y - p*y + 690. Suppose -5*z = -y + 20. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-41)*t**(1\/10)\/t*t*t**(2\/9)*(t*t\/(t\/(((t\/(t*t\/t**(-5))*t*t)\/t)\/t))*t*t\/((t**(-1\/8)*t)\/t))**16 assuming t is positive.\nAnswer: t**(-2881\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1600 + -1603. Which is the third smallest value? (a) h (b) -6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129.2 + -129. Which is the nearest to x? (a) -2\/3 (b) 2\/7 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - -21a?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w - 3. Let p be q(2). Suppose -3*f = -8*f - p. Let i(z) = 2*z - 8. Let t(j) = j + 1. Let u(h) = f*t(h) + i(h). Give u(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/204 and -79\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d + 4. Let b(t) = 2*t**2 - 8*t + 3. Let o be b(3). Let w be s(o). What is the units digit of (-2 + w)*-1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 4:59 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4620 and 1848.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 16962\nAnswer: 8481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 2:43 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 10.46. Let t = 1.5 - v. Is t not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:06 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9878117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k**3 + 8*k**2 + 2*k - 17. Let c(g) = -7*g**3 + 4*g**2 + g - 8. Let x(q) = 13*c(q) - 6*m(q). Suppose -11*a = -10*a - 4. Calculate x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 3*y**2 - y + 2. Let u(q) = q - 7. Let b be u(5). Calculate the least common multiple of 8 and t(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h - 66. Calculate b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 25014*-96.5\nAnswer: -2413851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -14, -43, -104, -209, -370, -599?\n\"Answer: -2*k**3 + 2*k**2 - k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200 and 5?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, 5, 80 in decreasing order.\nAnswer: 80, 8, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-53 + (-38 - -86)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42.9 and -93.4?\nAnswer: -4006.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58963, -58899, -58833, -58765?\n\"Answer: m**2 + 61*m - 59025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, i: 11}. Give prob of picking 2 h and 2 i.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-20))\/(3\/(-15) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - 2070b?\nAnswer: -206cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4995000 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 25*a + 15. Calculate the remainder when v(20) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -1\/24*a**4 + 11*a**2 + 0*a - 5\/6*a**3 + 0. Give u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14924237, 29848476, 44772715, 59696954?\n\"Answer: 14924239*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 15, x + 2*x = j - 20. Let i(z) = z + 9. What are the prime factors of i(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24414 + 24418.1068. What is a rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 209*q - 8989. Let p be z(43). Sort 9, 4, 0, 24, p in increasing order.\nAnswer: p, 0, 4, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1036 (b) 1 (c) -0.2 (d) 10 (e) -3 (f) -14 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 40344 - 68635 = 0. Let s = f - -1336. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8*s - 1964. Let x = -486 + s. Solve 0 = -4*f - 7 - x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2b66a (base 15) in base 12?\nAnswer: -2a16a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i. Calculate the remainder when 55 is divided by 5\/15*(57 + i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Find the third derivative of -3*m**6 + 0*m**2 + 2*m**6 + 3*m**j + 7*m**6 wrt m.\nAnswer: 720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2 (c) 1.7 (d) -0.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184659367 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/90 - v**4\/12 + 5*v**3\/2 + 3*v**2. Let c(g) be the first derivative of x(g). Differentiate c(s) with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7 - 17 = 0. Factor -1\/2 + s - 1\/2*s**f.\nAnswer: -(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, 11, 70, 153, 260?\n\"Answer: 12*g**2 - g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 12 = -5*l. Let d be l\/(231\/12)*-11. Let g(w) = -5*w + 15. Give g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95241578339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 10*q**2 - 19*q + 10. Give r(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 6\/61, -4?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1244220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 5*j - 4*s, 4*j + 40*s - 45*s = -31 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/2*8\/7. Suppose -7*h + 252 = -v*h. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14215, 57033, 128387, 228271, 356679, 513605, 699043?\n\"Answer: -w**3 + 14274*w**2 + 3*w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 - 4*i - 2. Give h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20948340 by 420.\nAnswer: -49877","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3471 divided by 213498.\nAnswer: -1157\/71166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3 + 2054*l - 5 - 2061*l. What is a(8)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 300239, 300022, 299659, 299144, 298471?\n\"Answer: -m**3 - 67*m**2 - 9*m + 300316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*3 + 0\/(-4) + -3. Let d(j) = j**2 + i*j**3 - j**3 - 610*j + 2*j**2 + 630*j. Is 5 a factor of d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01131995 to five decimal places.\nAnswer: 0.01132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14947029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125.825 and 0.5.\nAnswer: -62.9125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Suppose 0 = -0*g - 6*g - 6. Let p be (g + -2)\/6*(2 - 1). Which is the smallest value? (a) z (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251029 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3353, 13708, 30967, 55130?\n\"Answer: 3452*t**2 - t - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98818 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from omomo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 0.45. Let n be ((-52)\/10)\/((-49)\/805). Let p = n + -85. What is the third biggest value in -1\/3, v, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 28\/9, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1200)\/sqrt(6))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1439701 rounded to three dps?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*m = -4*m + 11, -22 = -5*j + 4*m. Solve c + 6 - j = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0555 * -2.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(3 + 338\/13 + -17 + (-80)\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2\/7 - 13171946*v\/7 + 8781300\/7.\nAnswer: -2*(v + 2195325)*(3*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 4, j: 2, x: 2, b: 6}. What is prob of picking 2 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5 + 2.63. Let x = r - -1.9496. Round x to three decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3 + 2*b + 0*b - 5*b - b. Let d be g(-4). Calculate the highest common divisor of 91 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144215230 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 61, 70, 83, 100, 121, 146?\n\"Answer: 2*z**2 - z + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328708 (base 9) to base 12.\nAnswer: 95998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 3}. Give prob of sequence zz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 66426.\nAnswer: -66422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/39)\/((-1)\/57).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.17 (c) -202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = d. Let a be 6 + (0 - 5) + 1. Let x be (-2)\/6 + (-1)\/(-3). Solve w - d*r = -18, x*w = a*w + 3*r - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/168*1064\/(-399)*-29.\nAnswer: 87\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.6 - 19. Let f = -1.271 - -0.271. Put -2\/11, o, f, -4 in decreasing order.\nAnswer: o, -2\/11, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.386709 rounded to one decimal place?\nAnswer: 646.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111 - 21 + 47*f**2 + 19*f**2 - 318*f**2 + 56 wrt f?\nAnswer: -504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.0577 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192797014?\nAnswer: 2, 596398507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 5:52 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -26, -52, -88?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 41237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 2483?\nAnswer: 24.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/72749111?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30941 and 35241799?\nAnswer: 35241799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4 - 8. Calculate the remainder when 5 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 614 + -6016326?\nAnswer: -6015412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2390\/956*(29*4)\/(5\/(1\/1))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 63 - 23)*(-40 + 16 + 3)*(-u + 2*u - 3*u) as r*u + h and give r.\nAnswer: -3024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/2730 - (8201\/826 + -10))*6.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 49 = 3*c, 9*c + 22 = 10*c - 6*b. Let m(h) = -5*h + 80. Give m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 4*x + 5*m, -4*m - 16 = x - 62. Suppose 4*w - 3*g = -x, 3*g = -5*w - 0*w - 54. Let v be 3 - (-2)\/(8\/w). Let d(u) = u**2 + u - 11. Calculate d(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -112 - 10*d - 126 - 102 + 330. Let a(j) = -12*j - 11. Suppose 4*y + 4*s = 32, 3*y - s - 12 = -0*y. Let l(w) = y*u(w) - 4*a(w). Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145313676 divided by 27.\nAnswer: -5381988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -q + 2*b, 3*q - 64*b = -69*b - 31 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let w(r) = -1. Let z(l) = 2*j(l) + 10*w(l). Let n be z(9). Calculate the greatest common divisor of n and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41660526 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**5 + 70*q**4 - 70*q**3 - 1060*q**2 + 75*q + 990 = 0.\nAnswer: -3, -1, 1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225.29 + 60.98. Let p = y - 3.69. Let f = 168.0322 + p. What is f rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371378 divided by 1294?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 146 = -4*o, -4*o + 6*o = 4. What is the greatest common factor of t and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, t: 7, l: 3, v: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 229358 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 1358?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2 - 0\/(-2)). Suppose 13 = q - 11. Suppose -4*w + q = -l*w. Round w to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 110 and -101448.\nAnswer: -101338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 3. Let d(m) = -4*m - 3. Give 6*d(v) - 5*w(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/14 - 5\/2. Suppose m*b = b. Suppose 2*s = b, -s - 920 = -5*q - 4*s. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.22, -5 in descending order.\nAnswer: 0.22, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348862 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 4977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + -202. Let u = 271 + t. Calculate the remainder when u is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 281115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -422266 divided by -26?\nAnswer: 16241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 3*h - 10*d - 3502, 3*d - 2342 = -2*h. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29947791869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 27*h**2 + 50*h + 2. Let b be c(25). Suppose -4*r + 3*r - 7 = 4*n, 0 = b*r + 6. Put n, -6, -18 in descending order.\nAnswer: n, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 10*o - 3. Let q be x(-12). Let k = q + -56. List the prime factors of k.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3\/2 (c) 0 (d) 3663 (e) 0.2 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:53 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -253\/10 - -151\/6. What is the nearest to -0.1 in n, -1\/6, 1\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvhhvhhhhvv. Give prob of picking 3 v and 1 h.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 164*n**2 + 980*n + 2. What is j(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggggmg. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 204\/(-16) + 1*(-123)\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 8:50 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -57, -70, -67, -42, 11?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 155 = -3*s. Suppose 4*z = -4, 23 + s = 5*v + z. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/40*1 + 1. What is the second smallest value in 0.06, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnq when three letters picked without replacement from {s: 2, a: 1, x: 1, q: 4, n: 1, p: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -637, -1228, -1817, -2404?\n\"Answer: g**2 - 594*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/12 + (-14)\/(-3). What is the second derivative of n**2 - 5*n**2 - 3*n + 4*n**2 - 3*n**y wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-5) - (-14)\/2. Solve r*p = 3*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*a + 56 = 152 + 66 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2982 + -1384. Calculate the greatest common factor of s and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2916*u = -2913*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**4\/18 + 368*i**3\/27 + 980*i**2 + 7200*i - 2590. Let b(w) = 0. Calculate w.\nAnswer: -90, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(-95)\/19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 1309.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96997634.\nAnswer: 2, 29, 269, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 - (-11 - 25). Suppose 2*h + 2*a - b = -0*h, 3*a = 0. What is the greatest common divisor of h and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccocccccccccccc. Give prob of picking 3 c.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o + 49*o = -59*o - 77*o - 1152 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - 1.96. Let j = c - -2. Let i = 0.046055 + 0.053945. What is the fourth biggest value in -5, j, -4, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*o + 56 - 68, -35 = -5*s + o. Is 47 a factor of (s - -79) + 2 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 14*l**2 + 7*l - 9*l + 7*l**2. Let v(q) = -q. Give z(v(g)).\nAnswer: 24*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29135 is divided by 396.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-720)\/(-117) - (-4)\/(-26). Let p = s - 3. Suppose -2*n - p*d + 6 = -4*d, 2*n + d + 2 = 0. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -29. Let x = 6 - 6.3. Which is the nearest to x? (a) r (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3 - -2 - (-27)\/18). Let f(b) = -b**2 + h*b + 3*b**2 + b**2 - 7*b**2. Let p(i) = 3*i**2 - 2*i. Calculate 5*f(r) + 6*p(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*3*(-11)\/(-33). Suppose 0 = 4*a - c*t, 2 = 3*a - 2*t + 3. Find k, given that 12*k - a - 4 + 2 - 4*k**3 - 5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*r - 2*i, 25*r - 3*i - 3 = 30*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8 - j - 7 + 15. Let g(v) = 5*v**2. Determine g(r(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -729*v + 0 - 12568*v - 4702*v - 1 as l + h*v and give h.\nAnswer: -17999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0, 2, -1\/4 in ascending order.\nAnswer: -1\/4, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, 6\/17, 3, 0.3, -2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -241203 rounded to the nearest one thousand?\nAnswer: -241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36906*f - 8 + 6 - 6 - 5 + 10.\nAnswer: -36906*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 121853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-83\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxvzvxmvzxaimxazvxva. What is prob of picking 2 a, 1 m, and 1 z?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8264 and 4184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to -11.2012695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46137, -92274, -138411?\n\"Answer: -46137*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/8096301 and 44\/19251?\nAnswer: 186214923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6034 minus 5?\nAnswer: -6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -92.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322689689 divided by 2.\nAnswer: -322689689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*a - 41*a - 2 + 3 + 39*a to the form p + j*a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-8811.1\nAnswer: -1762.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*p + 8 + 7*p - 1 + 29 wrt p?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*n - 5, 3*i - 5 = 4*n + 19. Solve 0 = 5*j + 4*q - 20, 9*j - i*j + 20 = 4*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105613385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1872) + sqrt(1872)*1) + -2)**2.\nAnswer: 96*sqrt(13) + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21085.9 - 21086. What is the biggest value in -6, t, -39?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -302 + 273.3. Let c = 47 + -76. Let o = c - u. Do 15 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14015 + 13897. What is the nearest to -1\/2 in 5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q\/((q**(-4)\/q)\/q))**(12\/5)*(q*q\/q**(-5)*q)\/q**(-5)*((q\/((q**(-2\/7)\/q)\/q))\/q)**(6\/31) assuming q is positive.\nAnswer: q**(20035\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/53)*q))\/(q\/(((q*q*q\/(q\/q**(-1\/6)*q))\/q)\/q)) assuming q is positive.\nAnswer: q**(-677\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 108*t - 1778. Let q(m) = -22*m + 381. Let b(d) = 3*c(d) + 14*q(d). Let l be -3*((-8)\/(-6))\/(-1). Let f(j) = -4 + 2*j**2 + l. Give b(f(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224008 is divided by 1531.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4215062 and 198107914?\nAnswer: 198107914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/5)*t**(2\/21)\/t)\/((t*t\/t**(3\/10))\/t**(-7)) assuming t is positive.\nAnswer: t**(-1891\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 12 + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*j**2*s**2 - 11*j**2*s - j*s**2 - 221*j*s wrt j?\nAnswer: -34*s**2 - 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/3 + 13*t**2\/2 + 17*t + 4. Let g be i(-12). Solve -g*w - 9 = 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5499, -10997, -16495, -21993?\n\"Answer: -5498*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iggi when four letters picked without replacement from iiigiigi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 11*v**2 + 6*v - 14. Let a be f(5). Let s be (12\/10)\/(a\/(-225)). What is the highest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-20)*(-2 - -3)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + sqrt(1440)*3 + sqrt(1440))\/sqrt(2).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 32 (c) -0.153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:07 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.041*180.\nAnswer: -7.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 2. Let c(t) = t**3 + 2*t**2 - t - 1. Let h be c(-2). Let g = h - -2. Let o(x) = -x + 1. Let j = 33 - 28. Give g*n(u) + j*o(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 27*z + 60. Determine f(3).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**3 - 5*x**2 + 6*x + 98. Give t(4).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 4:33 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (13 - (-16 + 12 - 25))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/4 (b) -4 (c) -1.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 125?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 8 = 23*y. Sort -5, 1, 0, y in ascending order.\nAnswer: -5, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5777*t + 3659*t - 2248*t.\nAnswer: 7188*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:23 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*s + 13, s - 3*s - 2*b - 4 = 0. Let f(t) = -8 + 10 - s. Let d(l) = l**2 - 11*l + 1. Let g(p) = 3*d(p) - 3*f(p). Let g(n) = 0. What is n?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1660 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-3)*69\/(-92).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19157229 divided by 2599?\nAnswer: 7371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 55\/2, -2, 0.214, 6, 2.\nAnswer: -2, 0.214, 1, 2, 6, 55\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -144.5. Let x = u - 159. What is the closest to 2\/9 in x, 0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-13 - (6 - (2 - 6)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -232212322 (base 5) to base 6\nAnswer: -34332011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-10))\/((-2)\/10). Let d be z\/4*(-64)\/12. Suppose -2*i = -4*i + d. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*r = -14, -4*r = 2*g + 2*g - 16. Suppose -3*j = 2*v - 81, 3*v + j - g - 124 = 0. Suppose -b = b - v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + (6*sqrt(25)*1 - sqrt(25)))\/(sqrt(80)*-1) + ((sqrt(320) + 0 + sqrt(320) - sqrt(320)) + 0 - (sqrt(320) - (-4 + sqrt(320)*2)))**2.\nAnswer: -259*sqrt(5)\/2 + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1313*a**2 - 4215*a**2 + 1053*a**5 - 6360*a**2 - 3102*a**5 - 1244*a**5 wrt a.\nAnswer: -197580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1058l in millilitres?\nAnswer: 67105.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-6)\/(-4))*-2. Let x be (-6)\/(-8)*1\/(-2). What is the second smallest value in -2, x, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -cc2?\nAnswer: cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l + 2*n = 12, 0 = l + 2*n - 10. Factor 92 + 36*o - 2*o**l - 125 - 129.\nAnswer: -2*(o - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 33. Let k(i) = i**2 + i + 1. Let x(n) = -2*n**2 - 3*n - 3. Let v(r) = 3*k(r) + x(r). Let p(z) = 3*z**2. What is f*p(w) - 5*v(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 7:27 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8831815, -8831818, -8831821, -8831824, -8831827, -8831830?\nAnswer: -8831833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -116*4\/(-12)*3. Suppose -u = -5*r - 646. Let a = r + 110. Let y(w) = -w + 1. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603.3 - 0.2700695.\nAnswer: -603.5700695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 5. Suppose 9 = b + 3. Suppose -3*g = -b*g + 2*q + 15, -4*q = -g + 5. Let o(k) = -1. Determine g*o(f) - n(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3383 + 3386. Solve c = -b*p + 2*c - 16, 0 = p + 5*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052273 rounded to four decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 46 - -7?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9029 in -1\/3, 0, 0.7, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3902*y + 85843. Calculate g(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41455665?\nAnswer: 3, 5, 307079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.012 * 0.05\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28511295?\nAnswer: 3, 5, 17, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 12*p + 6. Calculate b(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4 - 4)*(-1 + 1 - 5*l)*(54*l**3 - 100*l**3 - 80 + 48*l**3).\nAnswer: -10*l**5 + 400*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -214 + 212. Sort g, 0.5, 0, -0.5 in increasing order.\nAnswer: g, -0.5, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9 + (125\/15)\/(-5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120888045?\nAnswer: 3, 5, 421, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.148 - 0.188. Sort 1\/5, -0.19, -0.5, v in descending order.\nAnswer: 1\/5, v, -0.19, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 25290909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4936622 is divided by 877?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 411307.2 minutes in hours?\nAnswer: 6855.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 15. Let i be w(15). Suppose i = 5*p, -p - 42 = -2*t + 4. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o + 3. Let l(s) = -15*s + 6. Suppose 4*c = 5*c + 5, -5*c = 3*g - 8. Give g*b(t) - 6*l(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 2 u when four letters picked without replacement from {c: 1, u: 3, n: 1, h: 1, q: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 806 + -811. Sort t, -1\/10, -2.8 in descending order.\nAnswer: -1\/10, -2.8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -17491*h - 34974. Determine z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267492*m**3 - 3*m + 1799 wrt m.\nAnswer: -1604952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -564 + -2200?\nAnswer: -2764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllxxzx. What is prob of sequence xx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -462*s - 1381 + 1381 + (1 - 2 + 2)*(-5*s + 2*s + s) + (s - 4*s - 2*s)*(-4 - 2 + 5) + 2*s + 3 - 3 to the form z*s + l and give z.\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + 4 + sqrt(36)\/sqrt(3))*5 + -1.\nAnswer: -6 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 17*i**2 + 20*i + 31. Give v(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in 0.6, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = -3*i. Let k = -3 + 6. Let b(o) = 1 - 2*o + k*o + o**2 + 6*o. Give b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465*513925.\nAnswer: 238975125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from avqv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 12*v + 8. Let l be g(7). Suppose 4*h - 86 + l = 0. List the prime factors of (-4)\/h*2 + (-1245)\/(-10).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t = -5*z + 40, -5*t - 26 = -3*z. Suppose -z*w - 75 = -12*w. Is w smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 530\/1163 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1323 and 36018.\nAnswer: 1764882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 116223?\nAnswer: 116222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(242) + -2*sqrt(242)*6 + sqrt(242)*2*-4 - ((3 + sqrt(242))*5 + sqrt(242) + sqrt(242)*-1 + 2))**2.\nAnswer: 9504*sqrt(2) + 139716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -62*t**2. Let f = 269 - 257. Let z(o) = -f*o - 28*o + 39*o. Calculate l(z(v)).\nAnswer: -62*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -45. Suppose -p*c = -28*c + 84. What is the least common multiple of c and 183?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vkwwpvpivv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**3 - 2*z. Let r(a) = 13*a**3 + 6*a. Let b = -1 - -2. Let n = 6 + b. Let y(t) = n*l(t) + 2*r(t). What is the second derivative of y(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnq when three letters picked without replacement from nqqqnjjqnqqqqnn?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = 4*j, -5*x + 3*x + 6 = -j. Suppose -2*g - 1 + 55 = j. What is the remainder when 80 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 329102550.\nAnswer: 329102550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 54 - 107*n + 918*n - 41 in the form l*n + h and give l.\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9198159*a**3 - 87031697?\nAnswer: -27594477*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-23 - (11 - 10)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1463 - -273. Calculate the highest common divisor of 168 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -300.2 + 370. Let h = u + -70. Let a = 5 - 5. Sort h, -0.5, a.\nAnswer: -0.5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/5 - 41*w\/5 + 78\/5 = 0. What is w?\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 111 = -3*a, 0*a = -y + 2*a + 34. Let l be (131\/2)\/((-12)\/y). Let h = 96 + l. Is h < -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -261, -4, 2 in decreasing order.\nAnswer: 5, 2, -4, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 89*y**2 + 2*y - 40. Let v be (22\/44)\/(2\/(-120)). Let d be b(v). What is d rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/(8260\/(-240)))\/((-9)\/(-42))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 5:06 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + 3\/(-6). Suppose -3 = -j - n. Is (3 - (-329 - 2)) + j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11085263 is divided by 68.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*y = -74*y + 1544. Suppose -8*n - 3*g = -4*n - 298, -5*n + 3*g + y = 0. Suppose a - 66 = -2*v + n, 3*a - 466 = 2*v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2738 + 0.0528. Let w = -25.971 - -26. Let r = l + w. Round r to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -16.14, -2\/9?\nAnswer: -16.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose -2 - 2 = -c*i. Suppose -i*q = -10 + 2. Solve 2*b + 2*a = q, -2*b = -3*a - 6 - 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y - 100. Calculate v(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 24*u**2 + 2*u**3 - 2*u**3 - 6*u**3.\nAnswer: -6*u**3 + 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10109 + 10151. Solve t*u = 5*u + 185 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m - 1. Let h be y(1). Let s = h + -6. Suppose 0 = -3*w - s + 11. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*z**4 - 509*b**2 + 3*b*z**4 + 3*b - 17*z**2 wrt z?\nAnswer: 4*b**2*z**3 + 12*b*z**3 - 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 551\/86681*(8 - 9) and -12\/2989?\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((2*sqrt(77))\/sqrt(7)) + -5.\nAnswer: -5 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238994?\nAnswer: 2, 7, 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6 = -3*n. Suppose -17 = -4*t + l, -4 = -n*t + 2*l - 0*l. Suppose v = t - 1. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2\/9, -5418, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1441, 2720, 3999, 5278?\nAnswer: 6557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/2089 - 210965\/16712. Let p be -3 - (21734\/8)\/(-1). Let u = p + -2696. What is the common denominator of u and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011898 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 - 373 = -3*o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 331617?\nAnswer: 4\/331617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 62*c - 24. Let w(a) = -16*a + 6. Determine -6*r(g) - 22*w(g).\nAnswer: -20*g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-275))\/((-3)\/(-15)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 + g - 1. Let b be v(5). Suppose r - b = -r. Suppose 0 = w + r*w + 21000. What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 411 = c. Suppose 4*b = 27 + c. Calculate the remainder when b is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10153421.\nAnswer: 631, 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-200)\/(-16))\/(-1) + 12)*2. Let m(l) = -26*l**3 - 11*l**2 + 2. Let a(d) = -13*d**3 - 6*d**2 + 1. Let h(f) = 11*a(f) - 6*m(f). What is h(p)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 6.3.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7752 minus -0.14?\nAnswer: -11.6352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7612177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 14. Let c be (-3)\/(18\/(-4))*18. Let u be 9\/c*g*4. Solve -5*k - 7 = u, z - k - 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-8*(-5)\/(-120).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.630101 months to centuries.\nAnswer: 0.0163584175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/208 or 0?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.81, -0.5, 5 in increasing order.\nAnswer: -9.81, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -17. Suppose -64 = -3*m + u*r, 2*r + 67 = 2*m + m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2*j - 1. Let z = -16 - -19. What is y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -399*k**2. Let j(m) = -m. Determine h(j(w)).\nAnswer: -399*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12137*u - u**2 + 12137*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let w be b(-2). Suppose 22 = w*n - 4*n - g, -14 = 2*n + 5*g. Let s be (-16)\/n - (-8)\/12. Solve -s*p - 3 = -5*p, -o = p - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u**4\/4 + 35*u**3\/2 + 38*u**2 - 16*u = 0. Calculate u.\nAnswer: -2, 0, 4\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2125\/444 - 26\/37. Let h = n - 68\/15. What is the common denominator of ((-1)\/8)\/((1665\/(-1090))\/(-37)) and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 18*k - 16. Let l be n(10). Suppose 0 = -11*b + l*b + 1680. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 19*u. Let b be w(19). Let v be ((-20)\/(-6))\/(4\/6). Put 1, v, b, -1 in descending order.\nAnswer: v, 1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3344*n**3 + 25*n**2 - 102*n + 56. Let u be z(12). Round u to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27b + 32?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 26\/5*a**3 - 2\/5*a**4 - 104\/5*a - 36\/5*a**2 + 176\/5 = 0.\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/50 - 7\/((-350)\/145). Let k(x) = x**2 + 2*x - 1. Let q be k(1). Solve c - 4*j = 3, j + 6 = -q*c - t*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 35*q. Let v(t) = 17*t. Let o(z) = 2*a(z) - 5*v(z). Let u be o(-2). Suppose 0*l - 3*l + u = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -39*p**3 - p**2 - p + 2. Let q be t(1). Is -37 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(2 - 332\/6). Let l be j\/(-8)*(-22)\/(-4). Let c = -189 + l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(72) + sqrt(72)*2)*-3)**2 + 1.\nAnswer: 324*sqrt(2) + 5842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*o + 225 = -230, 9 = -3*o. Let y = 163 - -20. Let j = y + f. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.56?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/2 - (2578\/(-4) + 2)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -17*b + 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7054?\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 + (-6 + 2 + 2)*(5 - 4 - 2) + 8 - 2 + 4)*((-6*i**2 + 2*i**2 + 3*i**2)*(4*i - 3*i + 0*i) + 0*i**3 + i**3 - 3*i**3).\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 80.37341g?\nAnswer: 0.08037341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rururruurrrrru. Give prob of picking 3 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2 + 48*g - 1893. Let o(w) = -13*w**2 - 88*w + 3788. Give 11*c(n) + 6*o(n).\nAnswer: -n**2 + 1905","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phph when four letters picked without replacement from {d: 1, h: 3, v: 4, p: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 + (1 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 17. What is the remainder when q(7) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.2, -5, 0.3 in descending order.\nAnswer: 1\/3, 0.3, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3\/3 + t**2\/2 - 37*t. Let j be -2*((-7)\/(-2))\/(-7). Determine s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/345)\/((-23)\/3565).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 18*a - 14. Let x be b(8). Suppose 2*h + 30 = 5*c + h, -5*c - x*h = -45. Solve 0 = 11*i - c*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106887, -2213775, -3320663?\nAnswer: -4427551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23585914.\nAnswer: 2, 11, 293, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 85 - 216 + 21*b**2 + 101 = 0. Calculate b.\nAnswer: -1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36120 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118 is divided by 71.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, 3, -11, -26, 5, -2 in increasing order.\nAnswer: -26, -11, -2, 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 4*n**4 - 3*n**3.\nAnswer: -n**3*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439998.\nAnswer: 2, 3, 13, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-2)\/12). Let j = 34 + 75. Suppose -3*x = 5*b - 283, -6*b - j = -8*b + f*x. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:09 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13630.\nAnswer: 2, 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24924*2 + (-2)\/(-2)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.432 (b) -0.1 (c) -0.4 (d) 185 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.3 or 10\/19?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-22)\/((-528)\/(-56)))\/((-14)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 16487.\nAnswer: 5\/16487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/13, 1\/5 in decreasing order.\nAnswer: 1\/5, 1\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttvvttvtuutteqqk. Give prob of sequence te.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - f - 4*f + 15, -5*f = -15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117355823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5414, -46, -104, 4 in increasing order.\nAnswer: -104, -46, 0, 4, 5414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 962997 or 962998?\nAnswer: 962998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3247 + -3244. Which is the closest to 7? (a) -3 (b) -2\/5 (c) -2\/9 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = r + 4*p + 11, 3*p - 35 = r. Let o = r + 39. Suppose -o = -5*y - 68. What is the common denominator of y and -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 350517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10517 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219 and -350.0292?\nAnswer: -76656.3948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 46*h - 576.\nAnswer: 2*(h - 9)*(h + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2476*h**2 - 68*h + 4?\nAnswer: 4952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236458 is divided by 279556?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 712 in 0.4, 9, -41, -1.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6 + 0*s**2 - s - 3*s**3 + 4*s**2 - 5 + 4*s**3. Give x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9a + 1a12d?\nAnswer: 1a073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1796341123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -618617, -1237247, -1855895, -2474567, -3093269?\n\"Answer: -v**3 - 3*v**2 - 618614*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/75852 and -1\/126.\nAnswer: 75852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + -17968?\nAnswer: -17986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1735 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21765 is divided by 444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*h - 3*l, -2*l - 777 = -h - 770 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 98 = 75*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 494282.9559 and 2.898.\nAnswer: 494285.8539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2)*1\/22. Suppose 6 + 19 = 5*z, -40 = -4*m - 4*z. Let r = -3 - -2.9. Which is the closest to -1? (a) r (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20333 + -20343. Which is smaller: 487 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (19 + -3)) + 16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 5*z**2. Suppose 39 = -5*r + 14. Let f be b(r). Let v(u) = u**2 + u + 2. Give v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 953094546 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2041 > 698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.743686ml?\nAnswer: 0.001743686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = b - 3*b. Let q = b - -24. Let a(w) = -3 - 1 - 1 + 2*w + q. What is a(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (41 + -13 - 39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, r: 5, w: 1}. Give prob of picking 2 i and 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*t - 932*t - 30 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20775, 83133, 187083, 332631, 519783, 748545, 1018923, 1330923?\n\"Answer: z**3 + 20790*z**2 - 19*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 4.9. Let k = q - -6. Let y = -10.935 + k. Round y to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.104 + -0.034. Suppose -5*y + 4*p - p + 11 = 0, -y - 5 = -3*p. Sort v, y, 1 in ascending order.\nAnswer: v, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 140 - 124 = 0. Sort a, -1, 0, -3.\nAnswer: a, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 31. Calculate the greatest common divisor of 57 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 2*b - b - 13*b + 21*b - 11*b + (-2 + 2 - 1)*(-2*b + 3*b - 3*b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*h**3 - 60*h**2 + 60*h**2)*(-1 + 1 - 2*h - 3 + 3 - h + (-2 + 6 - 2)*(-h + 4*h - 4*h) - 2*h + 0 + 0).\nAnswer: -259*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1213118 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24408221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - -28. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -84*i - 19. Let y(d) = -421*d - 96. Let n(m) = 11*u(m) - 2*y(m). Is n(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p = -44*p + 228 + 1725. Solve c - p = 4*c + 3*f, f = -2*c - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(208)*2 - sqrt(52)\/(sqrt(4) + sqrt(16)\/sqrt(4) + sqrt(4) + sqrt(4))) + -2 - -5*(sqrt(104)\/(sqrt(24)\/sqrt(3)) + 2))**2.\nAnswer: -36*sqrt(13) + 2077\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4066*u**2 - 45. Let r(v) = -52*v. Determine t(r(m)).\nAnswer: 10994464*m**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = 6*f. Let i be (0 - f)*(-2)\/3. Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 8*j - 62. What is the greatest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1489 (b) 0.05 (c) 0.5 (d) -5 (e) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -564273\nAnswer: -564273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -527341 (base 8) in base 16?\nAnswer: -2aee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1493461.\nAnswer: 5973844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 3)*(-63 + 63 - 11*h)*(44*h**2 - 44*h**2 - 19*h**3) to the form b*h**4 + i + c*h + z*h**2 + a*h**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 5 - 2\/5*p**3 + 8\/5*p + 1\/10*p**4 + 0*p**2. Factor a(y).\nAnswer: 2*(y - 2)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7 - 10*a - a**3 + a**3 - 5*a + 2*a**3. List the prime factors of u(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 24*y**2 + 25*y - 46. What is the hundreds digit of s(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x**5 - 6*x**4 - 8*x**3 = 0. What is x?\nAnswer: -4\/15, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 = -14*m - 33. Solve 6*l - 56 = -m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -488093 or -488091?\nAnswer: -488091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l + 3. Let w be p(0). Let m(j) = 12*j**2 + 287*j + 58. Let i be m(-24). Suppose -w*g + 2503 = i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-25) - 7224\/(-300). Solve 0 = -6*c + k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1344286 and -4.\nAnswer: -3.8655714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13.8 - -1687\nAnswer: 1673.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -5*l - 7*g + 255, 5*l - 255 = 2*g. Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/147 + 2944\/14. Let d be 1\/(4\/120) - 2. Let p = 2 + d. Calculate the greatest common divisor of w and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/325*-5*-25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + a + 49, -5*a + 27 = -9264*z + 9265*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153817 + -1?\nAnswer: -153818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*q**2 - a**3 + 2356*a - 1793*q**2 wrt q.\nAnswer: 2*a**3*q - 3586*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1 + sqrt(684) + -1))**2 - (1*sqrt(684) + 2 + sqrt(684) + 5)**2)*-3 + 5.\nAnswer: -65944 + 3096*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1112 and 134880.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24038595.\nAnswer: 3, 5, 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/114238393 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/33)\/((-63)\/(-324)*-1)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = -0*x. What is the first derivative of x - 6*m**2 - 4 + 3*m**2 + 2*m**2 wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - 5*s - 480, -3*s = -3. List the prime factors of q.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25827, -51632, -77355, -102954, -128387, -153612, -178587, -203270?\nAnswer: -227619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 (base 10) in base 12?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -7, -2, 0.3 in descending order.\nAnswer: 0.4, 0.3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(108\/(-81)*7\/(84\/36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -1 - (2 - 2). Let g be (-14)\/(-18) - (-8)\/36. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13237655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*x**3 - 2793 - 1838*x**4 + 3545*x**4 - 1796*x**4 with respect to x.\nAnswer: -356*x**3 - 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j\/(j**(-2)*j))**(-41)\/((((j**6\/j)\/j)\/(j*j**(-1)))\/((j\/((j*j**(-2))\/j))\/(j\/(j**5*j)))) assuming j is positive.\nAnswer: j**(-464\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 + -367. Let f = u + 193. Which is the nearest to -0.3? (a) f (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/3)*n*n)**15\/(n**(1\/7)\/(n**(3\/2)*n)))**(4\/9) assuming n is positive.\nAnswer: n**(1466\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -452 + 453. Suppose 4*v + 0 - 4 = 0. Which is the nearest to v? (a) -2\/5 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -157, -138, -107, -70, -33?\n\"Answer: -i**3 + 12*i**2 - 10*i - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 + 13*l + 21. Let m(q) = 11*q**2 - 40*q - 62. Let n(s) = -2*m(s) - 7*u(s). Let k be n(-6). Suppose 2*f = -f + 6. Solve f*t - 25 = k*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -252972.\nAnswer: 1\/84324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*x. Suppose x = z - 3, 5*z - 14 = c - 0*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535593503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 31 = -4*n, 3*h = 2*n + 173465. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*z - 2*z, -4*w = z + 10. Let q(s) = 13*s**2 - 2*s. Let b be q(w). Let a be b\/(-12)*(-36)\/14. Solve 2*c = 6*c + a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times -14313?\nAnswer: -1316796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -4, -0.4, -2, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from hkcccchz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9301789*v + 12082752 wrt v?\nAnswer: -9301789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.09202 - -5.\nAnswer: -4.09202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + 12. Let r(o) = o**3 + 12*o**2 - 14*o - 1. Let h be (-76)\/6 + (-10)\/30. Let i be r(h). Calculate the greatest common factor of g and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 83 - 50 = 5*z + 36, 3*z - 4*u = 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*-2)\/(sqrt(64)\/(-1*sqrt(8))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:53 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -101*a**2 + 86*a - 26. Let o(g) = 47*g**2 - 42*g + 12. Determine 6*b(u) + 13*o(u).\nAnswer: 5*u**2 - 30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/27 + (-244)\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 4*j - 18, 0 = -3087*j + 3089*j + w - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 12 - 1 - -4 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -21. Let i = j - -5. Calculate the common denominator of 149\/6 and i\/(24\/(-98)) - (10 - 7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59\/(-531))\/(1\/(-6))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + sqrt(112)*2)\/sqrt(2))\/(-1*sqrt(288) + sqrt(8)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55.281 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m**2 - 3*m**2 + 3*m**2)*(2 - m**2 - 2) + (-6 - 6 - 19)*(-13*m**4 - 7*m**3 + 7*m**3) in the form q*m**4 + b*m**2 + n*m**3 + a*m + j and give q.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 110*f - 1. Let l(y) = -22*y**2. Give r(l(q)).\nAnswer: -2420*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83254\/21 + 3963. Let l = 8\/7 + s. Let t = 3 + 1. What is the nearest to l in t, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.36 + -2.64. Put -1\/4, 0.4, 1, s in descending order.\nAnswer: 1, 0.4, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 13*j**2 - 13*j + 15. Let t be k(12). Put -0.04, t, 3\/4 in decreasing order.\nAnswer: t, 3\/4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 430080?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 11}. Give prob of sequence so.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1473*y**3 + 1423*y**3 + 2 + 1.\nAnswer: -50*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 14 + 4. Solve 0 = -3*c + 3*r - 21, -5*r = 4*c - q - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 0. Let o be (3 + -8)\/n*(-2)\/(-9). Which is the third biggest value? (a) o (b) -0.4 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (224\/196 - 4608\/(-280))*4\/16*3?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times -18\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 99, -2\/9 in descending order.\nAnswer: 99, -2\/9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-1) - 5) + -16. Let s be 20 + v + 1*2. Suppose p + 237 = 2*t, s*t + 4*p = -p + 585. What are the prime factors of t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/8)\/11*2\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-102)\/(-4)*(-2)\/3. Let m = 6 - w. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44134 - -4?\nAnswer: -44130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - (-8)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/4, -1, -19, -17, -1.2.\nAnswer: -19, -17, -1.2, -1, -0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2722\/(-14) + -5 + 152\/28. Let c = a - -250. Calculate the remainder when c is divided by (0 - (-1 + 0))*20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.13 and 0.5.\nAnswer: -1.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 106414 and 1063?\nAnswer: 105351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 1 k when three letters picked without replacement from {d: 1, k: 4, c: 3, z: 4, l: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834.2535ug to grams.\nAnswer: 0.0008342535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181\/8 + 23. Let r be -185*4 + (-1 - 0 - 1). Let h = -9657\/13 - r. Calculate the common denominator of h and x.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l. Let z(v) = -50*v**2 + 2*v - 1. Let k be z(1). Let g = -68 + 123. Let b = g + k. Let o(r) = -8*r**2 + 4*r - 2. What is b*x(q) - o(q)?\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 40*r - 158797*r**3 + 158798*r**3 + r**2)*(3*r - r - 4*r).\nAnswer: -2*r**4 - 2*r**3 - 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/55 or 1?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = 3*l. Suppose 0 = 3*h - l*g + 50, 5*g - 6 = h + 7. Let o = h - -31. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49482461.\nAnswer: 7, 17, 415819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m**3 + 49*m**3 - m**2 + 16*m**2.\nAnswer: 3*m**3 + 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2467822836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675 a factor of 2848149900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5 + 541*a**4 + 5486*a**3 + 13234*a**2 - 5485*a - 13775 = 0. Calculate a.\nAnswer: -5, -1, 1, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3018, -3053, -3148, -3333, -3638, -4093?\nAnswer: -4728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 11*b - 2*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 49*v**2 - 137*v + 3749. Is p(-120) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -25*y**3 + 9*y - 155. Let d(s) = -24*s**3 + 7*s - 156. Let t(g) = -5*d(g) + 4*u(g). Differentiate t(v) with respect to v.\nAnswer: 60*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence govf when four letters picked without replacement from vovoofffoqqfoqfvfgff.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.383. Let n = -2.017 + p. Which is smaller: n or -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:30 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 150*h**2 + 36624*h - 36624*h - 8*h**2 + 2*h**2 + h**2 - 2 + 2 - 2*h**2 + (-3*h + 2*h + 2*h)*(-3*h + h + 0*h).\nAnswer: 141*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/605, -1738, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l. Let p(d) = -d - 2. Let z(m) = 5*m + 9. Let x(q) = 18*p(q) + 4*z(q). Calculate x(r(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459.285g in kilograms?\nAnswer: 3.459285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117, 16, -237, -714, -1487?\n\"Answer: -12*x**3 - 4*x**2 - 5*x + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2331, 4652, 6973, 9294, 11615?\nAnswer: 13936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 650804768 by 32.\nAnswer: 20337649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*m**4 + 56*m**4 + 0*m**3 + 27*m**4 - 2*m + 2*m**3 to w*m**3 + k*m**4 + r*m + l*m**2 + h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 901 (c) -3 (d) 0.5 (e) 1\/8 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6058*n**2 + 280*n + 3 wrt n.\nAnswer: -12116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1. Let l(f) = -f - 1. Let r(q) = l(q) + 2*w(q). Let p(z) = 6*z**2 - 9*z + 4. Let k be p(3). Let i(h) = h + k - 34 + h. Give i(v) + 4*r(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -211220?\nAnswer: 211203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -137200, -274400, -411600, -548800?\n\"Answer: -137200*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 368*c*o*v + c*v + 56*c - 500*o*v + 93*v + 8 wrt o.\nAnswer: 368*c*v - 500*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000485142038 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2439, 9813, 22125, 39375?\nAnswer: 61563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*c + 4 + 8, 0 = 4*j + 5*c - 16. Suppose 8 = -3*b + 17. Suppose 39 - b = j*p. Calculate the least common multiple of 1 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**3\/2 - j**2\/2 + 89*j. Determine k(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.5, -4\/3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1534 - 510 = -3495*x + 3422*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -16. Let a(h) = h**3 - 10*h**2 - 11*h + 3. Is 2 a factor of a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37204814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*h - 10 = 0, h - 3*h + 4 = w. Suppose w*c = 10, 0*u + c = 4*u + 5. Suppose -i = 3*o + 31, u = -o + i - 0*i - 13. Are -13 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b - b**2 + (2 - 4 + 3)*(-2*b**2 + 4*b**2 - b**2) - 4 + 4 + b**2 + 7*b**2 - 5*b**2 + 3*b**2 + (-4*b + 4*b + b)*(-26*b - 10 - 1 + 27*b).\nAnswer: 7*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -348. Suppose 3*q = -3*q + w. Is 26 a factor of 96\/9*q\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 5*y + 2*y)*(-2 - 1 + 2).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/45 and -37\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2840 and 288?\nAnswer: 102240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509736318.\nAnswer: 2, 163, 4631093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 340?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 72, 239, 566, 1107, 1916, 3047?\nAnswer: 4554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20333?\nAnswer: 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - y - 13*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 27452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:47 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.017 - 16.283. Round f to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 - 54*w + 5. Let s(i) = -9*i**3 + 81*i - 7. Determine 7*o(b) + 5*s(b).\nAnswer: -3*b**3 + 27*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*n + 58*n + 61*n = -14 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 21. Suppose 3*q - 3 = 0, n - q + 5*q - 4 = 0. Let m be g(n). Does 2 divide (m\/(-14))\/((-3)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p**3 - p**2 - 5*p - 5. Let z be i(-1). Let j = z + 67\/4. Let w be (-3)\/4 - 5\/20. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000097392443 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from ziztflzfftfuzitzuifz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 4. Let l(o) = -o - 1. Let q(w) = k(w) + 8*l(w). Does 14 divide q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1234.089\nAnswer: -370.2267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**8\/47040 - h**7\/2352 - h**6\/420 - h**5\/15 - 7*h**2. Let v(j) be the third derivative of g(j). Factor v(s).\nAnswer: -3*(s + 1)*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k - 30 = 0. Let z = -487\/1256 - -2\/157. What is the common denominator of z and 1 + 0 - k\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1803104)\/(-114376))\/((-2)\/17)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1019564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-274)\/(-18) + (-8)\/36. Find the second derivative of -p*k + 1361 - 25*k**2 - 1361 wrt k.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + h + 34. Let q = -3 + 1. What is the remainder when (-37)\/(-4) - q\/(-8) is divided by t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768*a + 768*a - 2 + 74*a**2.\nAnswer: 74*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*((-3 + q + 3)*(3 - 2 + 1) + 0*q + 0*q + 2*q + q + 2*q + 0*q - 205 + 205 - 13*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(2\/15)*j)\/j)\/j*j*j**(-3\/7))\/(j*j**0*j)**(1\/6))**(2\/43))**(-2\/89) assuming j is positive.\nAnswer: j**(88\/133945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2676 is divided by 209?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -124. Suppose -h*x + 125 + 28 = 3*a, -x - 3*a = -61. Suppose 41*f = x*f - 9895. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -9. List the prime factors of -18*(6 + m)\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464 - 465. Which is the nearest to 1\/2? (a) f (b) 2\/5 (c) -0.4 (d) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-35))\/(1 + 21\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 4*c. Suppose -g + 24 = 5*v, g + 12 = -0*v + 4*v. Let j(k) be the first derivative of -2*k**3\/3 + 7*k**2\/2 + 3. What is g*j(m) + 7*o(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1422 and 2426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*q, q + 2*q = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -315?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**5 - 12*y**4 + 10*y**3 - y + 1. Let f be (5 + -1)\/(10\/(-5)). Let s(a) = a**5 - a**4 + a**3 + a**2 + 1. Let k(u) = f*m(u) + 2*s(u). Factor k(b).\nAnswer: -2*b*(b - 1)**3*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from qonwqozwow?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 75. Let v(b) = 1. Let i(q) = 226*q + 1583. Let x be i(-7). Let t(a) = 3*a. Calculate p*v(o) + x*t(o).\nAnswer: 3*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -42 + 6. Let t be (12\/(-14))\/(g\/42). Suppose 6 = t*z - 3*z. Which is bigger: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2936\nAnswer: 1\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 23. Let i = -8 + f. Let k be (1\/26)\/(5\/20). Sort 1, k, i.\nAnswer: k, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 20 = 12. Let k be c\/(12\/8)*(-6)\/4. Let y = 13.1 - 18.1. What is the second biggest value in 1\/6, y, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-5) - (1 + -1). Find the common denominator of s + (-2)\/(4\/(-37)) and -1*214\/3*(-12)\/80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*(-64)\/288. Let n = -3 - -25. Suppose n*t - 4 = 18*t. Are t and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (322\/14700)\/((-2)\/(-5)) and 31\/735?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1)\/(sqrt(256) - (sqrt(256) + sqrt(256)*-3)).\nAnswer: -5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654642041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2. Let u(t) = t - 1. Let g(d) = c(d) - 2*u(d). Let j(n) = 25*n. Calculate j(g(w)).\nAnswer: -50*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169282462 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -97. Let b(m) = -2*m**3 - m**2 + 2*m - 2. Let p(n) = -n**3 + n**2 + 1. Give c*b(f) - 2*p(f).\nAnswer: 4*f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9021 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 5224594589.\nAnswer: 5224594584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -703 (b) 0 (c) -0.3 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*a - 7 = 0, 3*u + 353*a - 358*a - 29 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*c**3\/3 + 794*c**2\/3 + 1456*c - 1056.\nAnswer: 2*(c + 12)**2*(17*c - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 10. Let f be n(-7). Let z be f\/5 + 8\/5. Let p(g) = 9*g - 3. Let w(c) = -c + 1. Let r(y) = p(y) + 4*w(y). Calculate r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + 721247.\nAnswer: 721246.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 1. Let h(r) = 16*r. Let d(t) = t**2 + 64*t. Let c(l) = d(l) - 4*h(l). Calculate 5*c(x) - q(x).\nAnswer: 5*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 7*m**2\/3 + 2*m.\nAnswer: m*(m + 1)*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:07 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66 + -6*3\/6. Suppose 4*w - 20 = 0, g = -4*w - 0*w + x. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*r - 184*r = -357 + 1797 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 39*c - 288. Let i(o) = o**2 + 20*o + 144. Let h(k) = -9*i(k) - 4*y(k). Factor h(a).\nAnswer: -(a + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -16, -1, -3 in decreasing order.\nAnswer: -1, -3, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 11*g - 11*g + (g**4 + 3*g**2 - 3*g**2)*(g - g - g).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 10.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/2 - 20178*j - 40357\/2 = 0. Calculate j.\nAnswer: -1, 40357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - 33\/(-12). Let c be (-2)\/3 + (-16)\/(-24). Suppose 2*s + z*s - 255 = c. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142838.\nAnswer: 2, 71419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.894 - 13.9. Let j = y + 0.006. Is -1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/479, -5, -62, 3\/2, -15?\nAnswer: 2\/479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39630256637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5 - 4*b**4 + 55*b**3 + 178*b**2 - 780*b - 1800 = 0.\nAnswer: -6, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-16))\/((-48)\/96)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/(1\/(-7)). Let z(d) = -20*d**3 + 5*d**2 + 9*d + 9. Let h(n) = -33*n**3 + 11*n**2 + 17*n + 17. Let j(g) = -3*h(g) + 5*z(g). Determine j(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g + 8184 = 27*g. What is the remainder when 830 is divided by g?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.02 * 0.156\nAnswer: -2.03112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*1)\/((-117)\/26).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppahahaptpqu. What is prob of picking 1 p, 1 q, 1 h, and 1 t?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51457 - 30302. What are the prime factors of k?\nAnswer: 5, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168717 is divided by 152.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**23\/n))*n)**(-6\/5) assuming n is positive.\nAnswer: n**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Suppose -6*a + 3*a - 4*y + 586 = v, 5*y + 170 = a. Calculate the highest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4))\/((-170869)\/(-7712) + (-22)\/1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g + 3*g. Suppose -2*y + p + 106 = g, -220 = -4*y - 0*p + 4*p. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let o be y(4). Let g be (447\/5)\/(13\/65). Suppose -5*u = -4*b - 0*u + 598, -o*u = -3*b + g. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -19. Suppose -c = -5*w - 2*h - 3, 4*w + h = 15. Suppose -w = -5*y + 7, -5*x = 4*y - 53. What is the units digit of x?\nAnswer: 9","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 t when four letters picked without replacement from tnbrnmmnnrbt?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15916280.\nAnswer: 2, 5, 397907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**7\/945 - j**6\/270 + 19*j**5\/270 - 7*j**4\/27 + 4*j**3\/9 + 3*j**2 + 20. What is f in k(f) = 0?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 10*q - 1 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/22 - 10\/(-176)*(-111)\/(-15)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -8*n**2 + 0*n - 13\/6*n**3 + 0 - 1\/60*n**5 + 5\/6*n**4. List the prime factors of l(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 times -30485\nAnswer: 70115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345261 (base 10) in base 8?\nAnswer: 1242255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 1\/5 (b) 170 (c) 0 (d) 2 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 11*u**2 + u + 11. Let k be h(-11). Let o be 1\/(-4*5\/(-40)). Let s(n) = k - 1 + 5*n + o + n**2 + 1. Calculate s(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8685703 and 8685700 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c3d9 + 1?\nAnswer: -c3d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7280 divided by -70\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1182.967857 + 1354.96785546. Let f = -267 - -439. Let p = g - f. What is p rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let z(s) be the first derivative of -s**2 + 1. What is z(w(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b5 (base 14) to base 12.\nAnswer: -1aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -327*f - 6877, 0 = 21*f - 40*f + 22*f + 5*a + 38 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4)\/((-9)\/(-48)). Let k be 4\/6*(-36)\/s. Suppose k = -3*t + 9. What is the highest common factor of t and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*-7*24\/(144\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 7 - (-2 + 3). Are 13\/12 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247296353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let q(n) = -4*n + 7. Let i(p) = -6*f(p) - q(p). Suppose -3*r = -4*r + 4, 3*l - 5*r = 352. Let a be ((-434)\/l)\/((6\/4)\/3). Calculate i(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -3\/34, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {s: 1, e: 2, n: 4, r: 6, q: 1, w: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2151.2 - 2144.2. What is the third smallest value in b, -2, 2, -61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 56. Factor 146*u**3 + 8*u**b - 16 + 4*u**2 - 142*u**3.\nAnswer: 4*(u - 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(5\/(-3)))\/((-69)\/23). Which is the nearest to 0.1? (a) -2\/5 (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -8, -87.7, 2\/7, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}