diff --git "a/data/dm_maths/full_data_2/10354_11255.jsonl" "b/data/dm_maths/full_data_2/10354_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10354_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(l) = l**3 + 5*l**2 + 5*l + 6. Let a be t(-4). Suppose -3*z + 357 = -66. Suppose 0 = -o - a*o + z. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 17. Let c(i) = -2*i**2 - b*i + 23*i. Let y(t) = -2*t**2. Calculate c(y(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:20 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 22329\/(-18))*-2?\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -484 + 2\/3*w**2 - 722\/3*w.\nAnswer: 2*(w - 363)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 5\/4 (c) 2 (d) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 (base 11) in base 2?\nAnswer: -101011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i\/i**(-8\/3))*i*i\/(i**(-5)*i)*i**0*(i**20\/i)\/i assuming i is positive.\nAnswer: i**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 31 = -w, p + 94 + 21 = -4*w. Let g(y) = 3*y**2 + 33*y - 95. Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffqhhhh. What is prob of sequence hfqf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 - 11414*v\/11 + 11416\/11.\nAnswer: -2*(v - 1)*(v + 5708)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 2*f + 1. Let v be b(-1). Let m(g) = g - 1. Let u be m(v). Let p be (-30)\/18 - 1\/3. Sort p, u, 5.\nAnswer: p, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37595, 150318, 338171, 601154, 939267, 1352510, 1840883?\nAnswer: 2404386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from xddd.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t**2 + 0*t**4 + 10*t**3 + 0*t + 2 + 4\/5*t**5. Find the third derivative of d(c) wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j**3\/11 - 2647336*j**2\/11 + 3235610*j\/11 - 588292\/11 = 0 for j.\nAnswer: 2\/9, 1, 147073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 5:04 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -9.56\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2144 or -2160?\nAnswer: -2160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.166 + -0.039. Let z = c - 0.16. What is z rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.487 (b) 146 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 3. Suppose -h + 0 = 2. Let v(y) = 1. Give h*i(x) - 6*v(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1680750052 - -4?\nAnswer: -1680750047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30a + -152?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 7*f**2 - 6*f + 5. Let j be g(10). Let l be 3\/(-9)*(1 + j). Is 22 a factor of (l\/8)\/(5\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 + 134*w**2 - 670*w - 74. What is t(15)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4*-1*0. Solve f = 4*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3\/3 + 309*a**2 + 1863*a - 6860. Solve f(i) = 0 for i.\nAnswer: -3, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-240 + 361 - 737)*(2*v - 1 + 1) in the form q + k*v and give k.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-79.9\nAnswer: -31.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -623*o + 24362. What is d(39)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9895970 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37567.6 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i. Let n(u) be the second derivative of i + 1\/6*u**4 + 2\/3*u**3 + u + u**2. Solve n(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 712 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*v - 213 = 0, -2*s + 2*v = -119 + 37. Suppose 16 = -2*m + s. Solve 4*i - m = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179 in -0.3, 4, -4\/3, 6, 3\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/1*(28\/49)\/((-8)\/16).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 505 = -100. Let a be ((-10)\/(-100))\/(0 + 6\/c). Factor 0 + a*u**3 + 3\/4*u + 3\/4*u**4 + 9\/4*u**2.\nAnswer: 3*u*(u + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/4 - 237*p**4\/8 + 6841*p**3\/8 + 1335*p**2 + 450*p = 0.\nAnswer: -1, -1\/2, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3)\/((-4)\/8). Suppose -2 = 2*n + 5*t, 3*n = 2*t - 0 - 3. Let x be 3300002 + q\/n*1. What is x rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22631168 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692910 divided by 76990?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-378)*12)\/((456\/4921)\/12)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18121439 is divided by 285.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {o: 1, u: 2, b: 1, f: 5, v: 3, c: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + 96. Let k = r - -47. Suppose -5*s = 4*a - 6, 0 = 3*a + s + 3*s - 5. What is the third biggest value in k, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*k + 37 + 6*k**2 + 62 - 40*k in the form n*k + d*k**2 + i and give i.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 23*t - 162. Let j be m(-31). Let d = 410 + j. Suppose -1 = 2*z - 3*z. Solve d*i + i = -z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 9*x - 3. Let j be 28\/(-14)*10\/(-4). Let h(q) = q**2 + 5*q - 2. Let y(t) = j*h(t) - 3*o(t). Determine y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 10*z + 132 = -17*z + 2*h, 0 = 5*h - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 31. Let p = -190 - -215. What is the remainder when p is divided by g(17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -189 (b) -4\/143 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -18. Suppose 4*r + r - 5 = w, -x - 4*r + 21 = 0. Calculate the remainder when 65 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcc when three letters picked without replacement from jfkokccojnkoffocc?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*d + 38. What is the units digit of (-1)\/((-3)\/d*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 0.02428.\nAnswer: -1.97572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1287*i**2*p**4 + 2*i**2*p - 3*i**2 + 903*p wrt p.\nAnswer: 15444*i**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/665 + 28531\/42560. Find the common denominator of -51\/296 and f.\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5353 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -11*w**5\/60 + 5*w**4\/6 - w**3\/3 - 3036*w**2. Determine x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 323, 821, 1319, 1817?\n\"Answer: 498*n - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((9\/(-32))\/(681\/908))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*u**6 + 39*u**5 - 30*u**3 + 636*u**2 + 10*u + 7?\nAnswer: 3000*u**3 + 2340*u**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445012442?\nAnswer: 2, 7, 41, 137, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1))**(-8))**(1\/8))**48 assuming s is positive.\nAnswer: s**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29 = -17. Solve -w*x - 21 = -5*z, 1 = z + 4*x - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 320?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 + 58*x**2 + 7*x + 7. Let o(k) be the second derivative of -k**5\/10 - 29*k**4\/12 - k**3\/2 - 3*k**2\/2 + 3293*k. What is -7*o(a) - 3*p(a)?\nAnswer: -a**3 + 29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - 2\/(-4). Let p be 4\/118*(-3)\/9. Let l = 124\/531 + p. Which is the biggest value? (a) l (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053555109 to five decimal places.\nAnswer: 0.05356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6924319, -13848644, -20772981, -27697336, -34621715, -41546124, -48470569, -55395056?\nAnswer: -62319591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 842 = 36*b + 208 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-26)*(x**(-1\/4))**(-1\/43)*x**(-1\/5)*x**(-4)\/x*x**(2\/13)\/((x*x**0)\/x) assuming x is positive.\nAnswer: x**(-56351\/11180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 3. Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 371294\/5 greater than 74260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 22 = -16*f + 3*w + 10, -3*f = -w - 25 + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -112540000 to the nearest 1000000.\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 825478058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30674, 30562, 30440, 30302, 30142, 29954, 29732?\n\"Answer: -u**3 + u**2 - 108*u + 30782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 5. Let k be d(-5). Let b = 5 + k. Let j be (-98)\/(-14) - 2*1. Solve b*s = s + j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3892, 15240, 34218, 60826, 95064?\nAnswer: 136932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3387 divided by 1\nAnswer: 3387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -12. Factor -8*i**2 - 21*i**3 + 23*i**3 + 10 + 24*i + 6 + n*i**2.\nAnswer: 2*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*k*z**3 - 4*k*z + 20*k - 219*z**3 - 5*z wrt k.\nAnswer: -9*z**3 - 4*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 214002*d - 214002*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmkttklvrrr. Give prob of picking 2 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41 from -435.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:18 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/271948092 and -27\/1528?\nAnswer: 543896184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27795 is divided by 27696?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2) + (-15)\/(-30). Let t = 5 - m. Suppose 2*n - 39 = s + t*s, 0 = s - 5. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.02791 micrograms in kilograms?\nAnswer: 0.00000006902791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by -968.\nAnswer: 87\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/243)\/((-4)\/(-6)) + (7 - 6)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(15\/(-11)) + 2)*-9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -2*i - 1\/3*i**4 + 11*i**2 + 0*i**3 + 22. Let x(k) be the first derivative of t(k). Find the first derivative of x(l) wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1444, 5820, 13120, 23344?\nAnswer: 36492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*z - 1. Suppose -z*c - c = 0. Suppose -2*g = -v + 8, 5*v - 4 = g - c. Round v to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.556 times -0.05\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 76*k**2 + 54*k**2 - 129*k**2 + 52 + 4 + 20*k. What is m(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.217 - 5.217. What is the biggest value in 0.1, j, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*u + 31. Let d = -826 - -838. Calculate the remainder when d is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 5. Let y = 0 + 4. Suppose -y - 3 = -h. Suppose -2*o - 3 - h = 0. Let n(a) = -3*a - 7. Determine o*n(w) - 7*z(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 5*z - 2*z)*(35 - 9 - 54*z**2 - 26).\nAnswer: -108*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdddddcdcddcdd. Give prob of picking 1 c and 3 d.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**2*b)\/b*b*b**(-17))\/(b*b**14)**(-15) assuming b is positive.\nAnswer: b**213","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 + -0.059. Let f = -4.031 + c. What is the third biggest value in f, -0.4, 0, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/274 and 4\/3?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:09 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiiiciwwiwwcwiwiwc. Give prob of sequence cw.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d + 7 = 0. Let o(x) = 90*x**2 + 431*x - 84. Calculate the remainder when o(-5) is divided by (-3)\/9 + d\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-15)*k\/(k**(-17)\/k)*(k\/(k**(-2\/79)*k))**(-2\/45) assuming k is positive.\nAnswer: k**(14216\/3555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16 + (-441)\/(-27))\/(1\/12). Sort -3, -4, 0, c, 8 in ascending order.\nAnswer: -4, -3, 0, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 545. Calculate the remainder when m is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + f + 4633 = 0, -5*i + 5396 + 17770 = -4*f. List the prime factors of i.\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (91\/(-455))\/((-1)\/15). Solve 3*h + 0*o = o + 3, 3*h - 3 = i*o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -0*l. Which is the closest to 1\/5? (a) l (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 70 = 17*l, -2*c + 108*l - 111*l + 77 = 0. Solve 75 = c*p - 111 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2062\/7 - -294. Let u = g - -1\/14. Let v = -0.32 - -0.32. Which is the nearest to -0.2? (a) 5 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4773 and -1876.\nAnswer: -1875.5227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from {o: 1, f: 2, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-8) + (-668)\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*f**2 + 7 - 2 + 162*f**2 + 3*f - 4*f**2 + 3*f**2 + 2*f**2 + (2*f - 1 + 1)*(2*f - 3*f - f) - 3 - 2*f**2 + 3 + 5*f**2 - 4*f**2 + f**2)*(3 - 3 - 1).\nAnswer: -4*f**2 - 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (167 - 172) + 0 + (0 - 76\/(-12)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8271 + -8270. Let j be (65*2 + 3)*1. Is j at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = 2*v - 31, -147 = 5*a - 4*v. Let r = -27 - a. Calculate the remainder when 43 is divided by r*(-7)\/154 + (-356)\/(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v, 0 = -2*t - 3*v - 30 + 25. Solve -x - 11 = 5*a, -3*a + 8 + 3 = t*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38850\/4625)\/(7\/45).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 1\/6, 1315?\nAnswer: 1315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749914159.\nAnswer: 7, 17, 2957, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -500\/717, 0.4, -28\/9, 0 in descending order.\nAnswer: 0.4, 0, -500\/717, -28\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-351)\/117*2\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -556*o + 5*o**2 + 1616*o - 1 - 533*o - 567*o in the form n + g*o**2 + l*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:12 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -508.99 - -4.99. Let s = -503.787 - g. What is s rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y - 2. Let r = 30 + -26. Let n(f) = 9 + 3*f**2 + 18*f**3 - 5*f - 14 - 17*f**3. What is r*n(j) - 10*z(j)?\nAnswer: 4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 + -11.75. Let i = -5.96407 + -0.03593. Which is the closest to i? (a) 2 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.9477 - -0.0523. Let y be -2 - ((-8)\/18 - 2). What is the second biggest value in 0.2, y, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 72 = 17*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*i**4 - 3996*i**3 + 85564*i**2 + 141384*i - 91584 = 0. Calculate i.\nAnswer: -2, 1\/2, 24, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 32.951?\nAnswer: -32.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = -3*b + 2, -q = -1. Let i(t) = -5*t**3 + 2*t**2 + 5. Let m(f) = f**3 - 1. Let d(l) = b*m(l) + i(l). Determine d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**7\/11340 + x**6\/3240 + x**4\/3 + x**2. Let y(a) be the second derivative of h(a). Factor y(w).\nAnswer: -2*w*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-648)\/(-3645))\/((-504)\/(-162))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 29*c**2 - 62*c + 9. Let k be n(31). Suppose -k*b = -1059 - 3018. Is b < 452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/30 - g**4\/12 + g**3\/3 - g**2. Let q be (-4)\/10 - (-48)\/20. Does 3 divide s(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 32602.8.\nAnswer: 1956.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -9*h - 9*h. Put -3, h, -5 in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - v + 3 = -15, -5*v = 10. What is p rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/4 - 13*c**3\/3 + 5*c**2 + c - 8. Let j = -40 + 26. Does 29 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u**2 - 61*u - 24*u - 33*u**2 + 85*u**3.\nAnswer: 85*u**3 - 85*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -864 + 454 + 450 - 73*m. What are the prime factors of q(-22)?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from kwwwwwwwwkkwwkwkwk.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2 + 2 + 3 + 1 - 246*k. List the prime factors of h(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 812, 1623, 2434, 3245, 4056?\n\"Answer: 811*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1469*n**2 - 38*n - 2555. Let l(r) = -6*r. Let p(m) = -6*l(m) + v(m). What is the second derivative of p(w) wrt w?\nAnswer: -2938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 92 = 5*v, 0 = -3*v + 2*u - 48 - 4. Let w be -3*(-2)\/v*-3. Let o be (224\/(-30))\/(30\/(-25)). Do w and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**3 - p**3 + 2*p**3)*(4 - 4 + 2*p) + (-p - 1 + 1)*(3*p**3 - 20*p**3 - 2*p**3) to y*p**3 + q*p + l*p**2 + f + o*p**4 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a, -a + 675 + 276 = 4*t. What is the remainder when 43 is divided by t\/35*5 - 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from navyrvh. What is prob of picking 1 r and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 21 + -2 + -16.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 smaller than 7075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2525 and 77\/2.\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 - 3*u**4 + 6*u**4 + (-3*u + u**3 + 3*u)*(-2*u + 2*u - 2*u) - 2*u + 3*u**4 + 2*u + 18*u**4 - 3*u**4 + 23*u**4)*(-3 - u + 3).\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12818, 25619, 38408, 51179, 63926, 76643?\n\"Answer: -k**3 + 12808*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3. Let t(d) = -7*d**3 + 3*d**2. Give t(x) - 2*v(x).\nAnswer: -5*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1\/2, -3, -6\/7.\nAnswer: -3, -6\/7, -1\/2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 - 218*u**2 - 338*u - 73. Give z(-42).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4838269\/890490 - -2\/29683. Let j = 19081\/17409 - 2\/2487. What is the common denominator of j and h?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -86968.\nAnswer: 95664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2523 - -3572. Let a = p - 674. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w + 2*w - 4*w)*(4 + 1 - 3) + w - 6*w + 3*w)*(-8*w + 13*w - 7*w)*(6 - 2 - 2)*(-5*w**2 - 11*w + 11*w).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17593 and 7224939.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 429513015 a multiple of 4032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -12. Solve -4 + 0 = -x*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/((sqrt(11) - -2*sqrt(176)) + sqrt(11)))\/(5*3*sqrt(588) - sqrt(588)).\nAnswer: sqrt(2)\/980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 36 = 5*x + o, -30 = -4*x - 3*o. Let l be (-4 + 20\/x)*(0 - 3). Suppose -2*r = 3*i - 136, 2*r - 134 = -3*i - l*r. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 380 = 9*h. Let c(i) = -4*i**3 + 2*i**2 + i - 1. What is the least common multiple of c(-1) and h?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 410683.2ml?\nAnswer: 410.6832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1021?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 73, 2\/5, 48, -0.1, -17.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = -0*r - 0, -2*k - r = -3*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let a = -1 - o. Let r = 0.3 + 0.7. Is r >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 1. Suppose 2*y = -21*y + 483. Suppose -32*a + 44 = -y*a. Let u(v) = -15*v - 4. Calculate a*i(l) + u(l).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*k**5 - 2*k**3 + 93*k**2 + 26112*k wrt k.\nAnswer: -340*k**3 - 12*k + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.038.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107998064?\nAnswer: 2, 23, 293473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*r - 7 = -2*i, -r = -i + 2. Let t(o) = 7*o - 1. Let y(z) = -36*z + 5. Let j(d) = -11*t(d) - 2*y(d). Determine j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11826777 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**2*n*y**2 - j**2*n*y + 22*j**2*n + 243*j**2*y**2 - 4*j**2*y + 5*n*y**2 wrt y?\nAnswer: -8*j**2*n + 486*j**2 + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.343293 times -0.16?\nAnswer: 0.05492688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose -y = -8*c + 22. Let k = c - 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/28 and 85\/247424.\nAnswer: 1731968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4586405.\nAnswer: 5, 917281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 8, j: 2}. Give prob of picking 1 c and 2 t.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) + (-152)\/(-36). Let i(b) = b. Let y be i(2). Suppose -68 = -j*r + 4*h, -y*r - h = 2*r - 48. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 46641363?\nAnswer: 46641360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -29*t**4\/2 + 2*t**3\/3 + 173*t**2\/2 + 1746. Find the third derivative of y(i) wrt i.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180\/169 - -35803\/22984. Calculate the common denominator of 127\/6 and s.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1277253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-8 - -2 - -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162533 and 8881?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Find the third derivative of 9*l**v - 31*l**2 + 14*l**4 + 7*l**4 wrt l.\nAnswer: 504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2103, -8370, -18803, -33408, -52191, -75158, -102315, -133668?\n\"Answer: -k**3 - 2077*k**2 - 29*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1394 + 1028?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103035 is divided by 1843.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 183*f**2 + 396*f + 790. Calculate c(-2).\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33372 + 0.4.\nAnswer: -33371.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - t = 183, -4 - 228 = -5*f - 2*t. Let r be (-64)\/(-8) - (-4 - -34). Let w = f + r. What is the remainder when w is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16068 and 3373662.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 897011021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -167162020 and -11736.8.\nAnswer: -167173756.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*l + 6, -2*h - 1 + 17 = 3*l. Suppose -4*x = h + 3. List the prime factors of x\/(-3) - 64\/(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 324*k - 161*k + 167*k in the form y*k + j and give y.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - -2. Let p = -0.6 + m. Let q be ((-2)\/(-26))\/(1\/2). Which is the nearest to p? (a) -5 (b) 2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 1, m: 1, l: 2, j: 2, t: 1}. What is prob of picking 2 l and 1 t?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4 + 4. Sort 5, y, 2.\nAnswer: 2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(891) + 5) - 1*1*sqrt(99)*1.\nAnswer: 15 + 51*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615*z**3\/2 + 317*z**2 + 300*z - 32 = 0. Calculate z.\nAnswer: -2\/3, 4\/41, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 2*g**2 + 3*g - 4. Let z be y(2). Let c = 0.05 - 0.45. What is the closest to 0 in c, z, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**24)**(-25) assuming l is positive.\nAnswer: l**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-9 - -7 - 3) - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*c - 5148 - 6275 = 475 + 1764 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*a + 17*a - 16*a + 11*a.\nAnswer: 14*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348176 is divided by 93927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = y - 3*k - 5, -4*y + 12 = -2*k. What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + a**2 - 5*a - 264. What is f(0)?\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-10) + ((-32)\/(-16))\/(4\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y**2 + y - 6. Let s be r(8). Suppose -2*t + t - s*t = 0. Solve 4*z = -4*n - 0*z - 20, t = 5*n + 2*z + 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 3133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 43, 59, 73?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 u when three letters picked without replacement from {j: 3, a: 6, o: 3, u: 2, k: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 14) in base 6?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5613, 5 in descending order.\nAnswer: 5, 4, -5613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1\/14 (c) 0.4 (d) -1\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 304\/(-12)*(-2010)\/(-1273).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 3*l**3 + 40*l**3.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.33 - -1.33. Which is the smallest value? (a) 39 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2698 and 16.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - (8 - -30) - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 6. Calculate the remainder when w(6) is divided by 3*(-2)\/21 - (-79)\/7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18381.266 rounded to the nearest ten?\nAnswer: 18380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.08, -5, 3, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -1\/14*y**4 + 5 + 0*y - 1\/7*y**2 + 4\/21*y**3. What is g in z(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 + 11)*(2*j**2 - 1 + 1)*(-j**2 - 94*j - 93*j + 188*j - 2).\nAnswer: -42*j**4 + 42*j**3 - 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1773978, 1773979, 1773980, 1773981, 1773982, 1773983?\nAnswer: 1773984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 1. Solve 0*c - 2*c = -2*q - z, 4*c = -5*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 244 - 113. Let b = q - 47. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*r - 69, -5*r + o + 78 + 17 = 0. Suppose -4*x + 32 = 4*a, -3*x - 2*a + r = -a. Solve -6 = x*q + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*f - 805*f = 75*f - 22862 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 21*x - 24*x - 7, z - 3*x = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 534 - -191. What are the prime factors of z?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624380 divided by 541460?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3288 and 1781?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*a - 41 = -6, -3*a - 78 = -3*j. Calculate the remainder when j is divided by 114\/(-342) + 16\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**6\/3 + 59*f**4\/2 - f**2 - 11*f + 221. Find the second derivative of s(c) wrt c.\nAnswer: 40*c**3 + 708*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 26*r**7\/105 - 17*r**3\/3 + 20*r**2 - 2. What is the first derivative of m(k) wrt k?\nAnswer: 208*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ikkkikkkiikikkikkk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -387, 79, 545?\n\"Answer: 466*i - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/(s\/(s*s\/(s*s**8*s*s)))))*s**(-7)*s)\/((s*s\/(s*s**(-2)))\/(s**(-11)\/s)) assuming s is positive.\nAnswer: s**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -57*i**2 + 3*i - 3. Determine l(1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1911 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 2\/37 (c) 6\/943 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20636?\nAnswer: 2, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2141 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67705531031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8, 1552 - 5054 = -2*y + 5*u. What is the third derivative of y*c**2 - 1772*c**2 + 5*c + 68*c**6 + 38*c**6 wrt c?\nAnswer: 12720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25380 - 96475 = -59*n. List the prime factors of n.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0 + t + 0. Let b(u) = -3*u - 2*u + 3*u. What is b(x(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 6, 5093, -5 in descending order.\nAnswer: 5093, 6, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 18 = 21*c, -10*w - 5*c - 48 = -33 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21716 + 4520. Let n = -17196.30052 - k. Let i = n - -0.3. Round i to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.043 (b) -2\/5 (c) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 41. Let m be 2 - 3\/(n\/19). Which is the closest to -1? (a) -3 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106026589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/25))**(1\/18) assuming z is positive.\nAnswer: z**(1\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + o + 10, 2*o - 19 = -2*g - 3*g. Let a(x) = -261*x + 2 - 16 + 263*x. Let c be a(7). Sort 2, g, c in decreasing order.\nAnswer: g, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/12 + 2*d**3\/3 - 5*d**2\/2 - d. Let f be p(-5). Suppose -5*x - v = -173, -4*x + f*v - 3*v + 134 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*b**2*d**2 + 2*b**2 + 2225*b*d + b - 7151545*d**2 with respect to b.\nAnswer: 164*b*d**2 + 4*b + 2225*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 at least -40199\/730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2470\/100 + (-174)\/(-580).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/7 - 2248*r\/7 - 4179514\/7 = 0. What is r?\nAnswer: -989, 2113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2\/147 (b) -2\/5 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0 + 0 + (0*t + 0*t - t)*(0 - 11 + 1).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -227, -460, -779, -1190, -1699, -2312, -3035?\nAnswer: -3874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 91, 89, 87, 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/15 - 452180*b + 6782710\/3.\nAnswer: -2*(b - 5)*(b + 3391355)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 4*n**2 + n + 1. Let p be -2 - (-3)\/(-3)*1. Let r be o(p). Let b = -3 + r. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123301302 + 122222?\nAnswer: -1123113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(1\/14)*(z*z**(1\/11))\/z*z**(-17)\/z*(z\/(z\/(z*z**(1\/3)*z)))\/z*z assuming z is positive.\nAnswer: z**(-6701\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 55 = 3*q, -5500*q + m - 3*m = -5499*q + 25 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0861408 and 28.\nAnswer: 30.4119424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 - t**2 - t. Let u(d) = -9*d**3 - 2*d**2 - d + 849. Determine u(i) - 2*z(i).\nAnswer: -i**3 + i + 849","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 5*z - 52. Let x be w(-8). Sort x, -6, -2.\nAnswer: x, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -y - 4*s, y + 3*s = 5*y - 65. Let p = y - 15. Suppose b - p*h + 11 = 0, -5*b + b + 4 = -4*h. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/(-16)*36\/(-9). Solve -m = -3*i - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3461627.\nAnswer: 13, 20483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, s: 3, z: 3, k: 1}. What is prob of sequence ks?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17808722 rounded to the nearest 10000?\nAnswer: -17810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25*r**5 - 4*r**4 + 4*r**3 - 26*r - 4. Let s(a) = a**5 + a**4 - a**3 - a + 1. Let v(k) = -l(k) - 4*s(k). What is the second derivative of v(y) wrt y?\nAnswer: 420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, u: 7}. Give prob of sequence ueee.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*z - 53*z - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 17*u + 8. Let n(q) = 33*q + 17. Let k(f) = 11*h(f) - 6*n(f). Let o be k(-2). Solve 0 = -5*b - 3*c + 25, -4*c = -3*b + o*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42321098399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/36279 and 67\/1390.\nAnswer: 362790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88? (a) 0.3 (b) -266 (c) -128 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.3, 4, 4.68 in ascending order.\nAnswer: -0.2, 0.3, 4, 4.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 9) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (651\/(-186))\/(1\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -927 + -2906a?\nAnswer: -29994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243\/22 - 126\/11. Calculate the common denominator of -89\/18 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 7*h**2 - 2*h**2. Let c(k) = 2047 - 2047 + 2*k**2. Determine -6*c(n) + 10*j(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1210105 and 930850?\nAnswer: 12101050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170268630*w**2 + 22749890 wrt w.\nAnswer: -340537260*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(22)\/sqrt(2)*1.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(24) + sqrt(1176))\/(sqrt(363) - (sqrt(363) + sqrt(363)*2 - sqrt(363)))*5.\nAnswer: -80*sqrt(2)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-17)\/5*(-110)\/(-44). Suppose 9*o - 536 = k*o. Let b = o + 72. Solve -3*d - b = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ec7a8 - 4?\nAnswer: 2ec7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 14*r + 273. Let j be m(-25). Sort -2\/5, j, 0.31, 1 in decreasing order.\nAnswer: 1, 0.31, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 529018 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/54 + 2\/(-3))*-4. Suppose -487 = -r*m + 349. List the prime factors of m.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 65*d**3 - 68*d**3 - 26.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.85646 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = -5*y, -2*f - 5*y + 6 = -10*y. Let h be -3 + (f - 4)*-61. Let m = h + -176\/3. Which is the biggest value? (a) 3\/4 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 + 32 - -10) + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/((-28)\/6))\/(-3). What is the biggest value in b, -0.5, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1718 + -4773. Let c = v + 13508. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = -15. Let z be 27\/x - 10\/(-25). Sort 5, z, 2 in descending order.\nAnswer: 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9698118 is divided by 2028?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (13 - 2) + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-81)*(0 - -3). Suppose 6*f + 36 = -3*f. Let t be (-27)\/12 - (-4 - (-30)\/8). Which is the second smallest value? (a) t (b) s (c) f (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3212.422 take away -2461?\nAnswer: -751.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4405, -4581, -4875, -5287, -5817?\n\"Answer: -59*d**2 + d - 4347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -91.\nAnswer: -16\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**27\/(s*(s\/(s**(2\/17)\/s))\/s))\/(s**(-2\/5)\/s*s**(-1\/5)))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 280296390 rounded to the nearest one hundred thousand?\nAnswer: 280300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*z - 3*o, z + 0*o = 4*o + 10. Let p be z\/8*4 - -2. Suppose -3*u = -r + p, -5 - 7 = -2*r + 4*u. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5156, 5126, 5082, 5030, 4976?\n\"Answer: b**3 - 13*b**2 + 2*b + 5166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3366\/(-1452) - 10\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*0.3\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(200) + 5 - (0 + sqrt(200) + sqrt(200) + -4 - sqrt(200))))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*z + 18, o + 39 = 4*o + 3*z. Suppose o*v - 15 = 14*v. Suppose b = -v*y + 6010, 2*y + 3*b = 6*b + 2387. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96687?\nAnswer: 3, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-3*1 + 2). Suppose -h*j + x + 2 = -2*j, 6 = 3*j + x. Does 4 divide -1*j - (0 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = 5. Suppose 5*f + 2*q = -2*q + 42, 0 = -2*f + 4*q. Let j(g) = g - 7. Let v be j(f). Sort 5, z, v in increasing order.\nAnswer: z, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -124, -132, -140, -148, -156?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 749 by -7.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*b + 97 - 6846 - 1711 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 95 + 85. Factor 5*j**2 + 4 - 3*j**2 - 12 - f*j - 4.\nAnswer: 2*(j - 3)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 299.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/((k**(-3)\/k)\/k))\/k)*k**3)\/(k**(-1\/3)\/k)**(-2\/39)*((k**2)**(-2\/155))**(-25) assuming k is positive.\nAnswer: k**(2092\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/120 - a**5\/10 - a**4\/6 - a**3\/6 + 36*a**2. Let x(m) = m**2 - 6*m. Let d be x(5). Calculate n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -10*o. Suppose -9 + 1 = -2*b - 5*t, 2*t - 4 = o. Which is bigger: b or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*i + 93 + 159. Suppose -d - 3*b - 3 = -5*b, -d = -4*b + 9. Suppose -5 = d*h - 11. Solve 7 = -i*g - 0*x - 3*x, 2*g = h*x - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 1:24 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Suppose 5*f + 3*p = 6, -2*f = 3*p - 4 - m. Let z = 5.98 + -10.98. Which is the biggest value? (a) -12\/5 (b) z (c) -2\/9 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let t be 3\/(-9) + (-7)\/(-3). Let o(w) be the first derivative of 3*w - w + 3 - t*w + w**2. Give o(i(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/30 - (((-23254)\/105)\/(-11) - 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -37*u + 905. Is 9 a factor of y(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.341407*-5\nAnswer: 6.707035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from qrzzrzqzqqqzq?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*3.4788512\nAnswer: -13.9154048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, s: 3}. Give prob of picking 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637226714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a - 10*a + 1 - 4*a. Let s be g(-1). Find the third derivative of 2*f - s*f - 2*f**2 + f**2 - 5*f**3 wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(-1\/5))))\/((y*y**11)\/y))\/(y**(3\/5)\/y**(-1\/14)) assuming y is positive.\nAnswer: y**(-733\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 - 4 = 0. Let p = 0.1597 + -3.0777. Let k = p - 0.082. Which is the third smallest value? (a) -2\/9 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 48*v**2 - 47*v - 95. Let n be b(49). Suppose -30 = n*l - 8*l. Calculate the remainder when (-320)\/(-15) - 1\/3 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 526*m**7\/35 - 2701*m**3\/3 + 2*m**2 + 35*m - 1. What is the derivative of z(d) wrt d?\nAnswer: 12624*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.5, 5, -2 in decreasing order.\nAnswer: 5, 4\/5, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 6*u - 2*u. Suppose 2*x + 2*i - 126 = 0, 2*i - 2 = -x + 58. Let r = x + u. Solve 4*c = -c - r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 595*q\/4 - 281775\/2.\nAnswer: (q - 510)*(q + 1105)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 12*t**2 - 10*t - 8. Let h be p(11). Solve 5*w + 10 = h*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3061158432.\nAnswer: 2, 3, 31887067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 937 + -937. Let y*m**2 + 2\/3 + 1\/3*m**3 - m = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*n - 5*n. Let w be 32\/(-12)*54\/8. Let v = w - -18. What is the nearest to 2 in n, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2) + 8 + -3. Let x(s) = s**3 - 6*s**2 - s + 5. Let y be x(t). Is 1\/4 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(84) + sqrt(84) - (sqrt(84) - sqrt(84)*-2)*-1)\/((sqrt(384)*1 + sqrt(384) + sqrt(384) - sqrt(384))\/sqrt(2)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109465 + 186026. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**5 - 5*t**3 + 7*t - 70?\nAnswer: -100*t**3 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 14 = 4*x. Suppose -3*t + x - 2 = 0. Solve q - 3 = t*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*d = 6, 4*d + 0*d + 40 = 4*n. Calculate the least common multiple of 5 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -5*y**3\/6 + 3*y**2 + 3*y. Let x(t) = 4*t - 5. What is 5*c(i) + 6*x(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 28 = 2*m, 0 = -s + 3*m + m - 20. Let u = s + 7. Suppose -3*f = -4*w - 37, -u*w + w + 4 = 0. Calculate the greatest common divisor of 165 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2235 and 7365815?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172480 and 1936?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55701\/4126*(-8)\/(-27))\/(12\/(-417))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 930980 is divided by 84.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 + 169. Let o = 12 - 17. Let q = -136 - -137. Which is the nearest to 0? (a) o (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/240 + 29*d**4\/48 - 841*d**3\/24 + 55*d**2. Factor w(q).\nAnswer: -(q - 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 116*r + 9814 = 120*r, 2*r = 4*c - 39274. List the prime factors of c.\nAnswer: 2, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*90\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37 + 0\/1 + 16\/(-16). Suppose -18*g + s = -21*g. What is the units digit of 4*(-315)\/(-6)*(-6)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 538 - 538 = w. What is the smallest value in w, 32\/9, 3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y**3 + 2*y**2 + 3*y + 1. Calculate the lowest common multiple of 11 and v(-1).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:58 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 15*w - 13. Let g be k(-16). Which is bigger: 15\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -38*x**2. Let i(l) = 6087*l**2. Calculate t(i(y)).\nAnswer: -1407959622*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*5*sqrt(192)*2)\/((sqrt(294) - (sqrt(294) + sqrt(294)*1 + sqrt(294))*2) + -2*sqrt(294)*-3))**2.\nAnswer: 80000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/3)\/(-8))\/(2\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-3)*4\/20*3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -f + 4*c, -5*c + 7 = -4*f. Let d(i) = -i - 10. Let n be d(-5). Let v = 5\/14 - 27\/154. Sort f, n, v in decreasing order.\nAnswer: v, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.127 - 2.127. Which is the fourth biggest value? (a) -5 (b) m (c) 0.4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9198557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -2\/7?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1250 or -0.00056?\nAnswer: 1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k - 12 + 3*k**2 - 9*k**3 + 15*k**3 - 9*k**3.\nAnswer: -3*(k - 2)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - 24. Let f = q + 64. Let o = 24 - f. What is the remainder when 67 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w = 22*w - 400 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2326 (b) -5 (c) -1\/5 (d) 2 (e) -0.75 (f) 0.04 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/1)\/5*-3)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -9449116175.\nAnswer: -9449116174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/5)*m)**(-4\/9))**(-7))**(-6) assuming m is positive.\nAnswer: m**(-224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + n + 12. Let p(r) = -1. What is 4*p(w) + v(w)?\nAnswer: w**2 + w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 522*b**2*y - 3*b*y + 3*b + 5*y - 1760 wrt b.\nAnswer: 1044*b*y - 3*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-102))\/5*2\/(-3)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/24 - c**3\/18 - 107. Determine u so that g(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 105. Let f = b - 9. Let x be (4\/12)\/(2\/f). Solve 6*u = -4*l + x*u - 32, -u = 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220925523?\nAnswer: 3, 7, 13, 17, 181, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.2 + -3.6. Round b to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i + 4. Suppose 5*d - 2 = -3*k + 109, -i*k = 12. Solve 5*s + d = 4*y, 9 = -4*s - 3*y - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2278514 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 14*a - 2 = 6*a. Let w(b) = 1. Let i(h) = -h**2 - h - 8. Determine a*i(n) - 2*w(n).\nAnswer: n**2 + n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1223 (c) 1\/7 (d) 2.7 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*s**3*t**3 - 7672*s**3*t - 2*s**3 + 4*s**2*t - 174*s*t**3 wrt t.\nAnswer: -324*s**3*t - 1044*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1431308 and 6.\nAnswer: 0.8587848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99801*m**2 - 99154*m.\nAnswer: 199602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105258601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -447 + 459. What is the smallest value in 3, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**3 - 66*v**3 - 3 - 29*v**3 + 3 + 148*v**3 - 32*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 82 + 56 = -5*d, 0 = 5*d - 3*w - 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*a)*(0*a**2 - 3*a**4 + 0*a**2) + 8*a**5 + 13*a**5 - 2*a**5 - 2*a**3 + 2*a**5 - a**2 + 0*a**2 - 8 + 7.\nAnswer: 30*a**5 - 2*a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2508 divided by 44.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i + 298 - 338 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*c + 36 + 13, 0 = p + 4*c + 3. Suppose -v = -5*y - 149, 2*y - 5*v + 136 = -2*y. Let u = p - y. Calculate the least common multiple of u and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.62 - 42. Let c = m + -1.32. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 226556 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10899.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13328)\/2176 - (7\/8 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**5\/20 - i**4\/4 - i**3\/6 + 5*i**2 - 2*i. Let h be v(-4). List the prime factors of (-662)\/(-10) + h\/(-25) + 1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 116563*m + 116528*m + 34.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (309 + 77 + 214)*(-24*a**5 + 27*a**4 - 27*a**4).\nAnswer: -14400*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 23*p + 92. Let v(c) = -299*c**3 + 91*c**2 + 91. Let j(i) = -13*i**3 + 4*i**2 + 4. What is p*v(u) + 91*j(u)?\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(545\/(-75) - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -17 (b) -4 (c) -41 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uttiziinuzik. What is prob of picking 2 z, 1 i, and 1 u?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.7573 days in weeks?\nAnswer: 41.3939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 4, 17, 36?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 13751 = -13769 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062232648 rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*b - 44 = 0, -5*v + 4*b = -27 - 25. Suppose 6*l - 5*a = 2*l + 19, v = 2*l - 2*a. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 127804380.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(99) + 1)**2 + 3.\nAnswer: 6*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9536.41477 and 465277.\nAnswer: 455740.58523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgegugququeququ. What is prob of picking 1 e and 2 q?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*m - 6721 = -990 + 139 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 7*z - 12. Let s be w(-4). Suppose -4*f + 294 = -3*j, -4*f + f + 2*j + 221 = s. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 5b925?\nAnswer: 5b928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 13*a**3 - a**2. Let h be t(-1). Let c = h + 25. Let z = c + -8. Solve -b + 2*j - 5 = -2*b, 5*j - 12 = -z*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*a - 195, 5*a - 8*a = g - 27. What is the smallest common multiple of g and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3231090 divided by 538515\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*f + 4*y - 148, 5*f + 3*y = 268. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(1 + sqrt(1008) + sqrt(1008)) + 5)**2 + -5.\nAnswer: 7200*sqrt(7) + 403420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 13*o**2\/2 + 3*o - 1. Let r(i) = -4*i - 1. Give 2*g(b) + 7*r(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3067 (base 8) to base 3\nAnswer: -2011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -542 - -13d5?\nAnswer: c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*f + 2*f. Calculate the remainder when 11 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 + -138. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 163, 309, 507, 763, 1083, 1473?\nAnswer: 1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7930*l**6 + 742*l**2 - 41*l wrt l.\nAnswer: -951600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29947 + -16665. Let j = 39245 - o. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 1\/5 (b) 1\/37 (c) -3 (d) 7 (e) -1\/18 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = r - 0*c + 12, 3*r = 2*c - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/6 + r**3\/3 - 7*r**2\/2 + 2*r. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28842\/1932 - 203\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824246?\nAnswer: 2, 412123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-20)*4 + (-56)\/90. Let k = 0.1 + -0.1. Does w = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b + 2. Let r(j) = 13*j - 5. Let u(t) = 5*o(t) + 2*r(t). Let z(n) = -3*n. Give z(u(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 1 (c) 89 (d) 0.01 (e) 0.2 (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y - 77*y + 270 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2348 and 87\/22?\nAnswer: 25828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -191 + 191 + 6*f**4 + (-f - f - 6*f)*(5*f**3 - 7*f**3 - f**3) + (3*f**3 + 0*f**3 - 2*f**3)*(-3 - 2*f + 3).\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -3.94129?\nAnswer: -6.94129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13 - 12)\/(7\/14). Solve -u*c + 6*f - 11*f - 5 = 0, -2*c = -2*f - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6 + -1 + 4 + -7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1088) + 0)*1*-2 + 1 + (sqrt(1377) - (sqrt(1377) - (2*sqrt(1377) + 0))) + 4)**2.\nAnswer: -620*sqrt(17) + 65373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Let h(v) = 4 + v + 4*v - y*v. Let a be h(7). Solve b + 9 = -5*g - 3*b, 0 = -2*g + 2*b - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:07 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145680000 rounded to the nearest 1000000?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 38*h**2 + 99*h - 29. Let z be x(16). Let w(i) be the second derivative of 0 + 1\/20*i**4 - 6\/5*i**2 + 3\/10*i**3 - z*i. Factor w(o).\nAnswer: 3*(o - 1)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - l**3 - l**3 - 4*l**3 + 2*l**3 + l**3 + (5*l**2 - 11 + 11)*(-3*l - l + 0*l) + 2*l**3 - l**3 - 2*l**3 to a*l**2 + g + y*l + m*l**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.02 - -14. What is the third biggest value in d, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1691 - -1706. Let g(f) = -2*f + 25. Calculate g(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000218 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + (-5 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*d**3*t**2 + 3*d**3 - 6*d**2*t**2 - 5*d**2 - 15*d*t - 3 wrt d?\nAnswer: 456*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 5*v**2 - 18*v - 69. Let z be k(-5). Calculate the highest common factor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-40)\/2160*3\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/12 and -71\/702.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16826 - 9079 = 97*p + 30*p for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-11*(-30)\/550)\/((-9)\/10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(6 - 4 + 0)*(-2*s - 3*s - 2*s)*(-4 - 8 + 7).\nAnswer: -210*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40797 and 15849?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8109 - 4769. Let s = a + -43447\/13. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596985?\nAnswer: 5, 13, 79, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 20. Let g(v) = -v**2 - 3*v - 2. Let b be g(-4). Let k be (b\/w)\/(15\/(-40)). Solve -3*q + 7*q = k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32906264*n**2 - 16453209*n**2 - 16453053*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (14 + 4) - (1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100)*-1*6*2)*2)**2.\nAnswer: 960*sqrt(11) + 633604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 7. Let o = 10 - y. Which is the third smallest value? (a) o (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247778, 247771, 247762, 247757, 247762?\nAnswer: 247783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24943 + 0.25. Round j to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i - 61*i + 27*i)*(-2 + 1 - 1).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -3, -20, 36, -2\/13, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 35 + 1)*(-l + 0 + 0).\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s**3 - 126910*s**2 + 335534176*s + 55925888 = 0. What is s?\nAnswer: -1\/6, 5288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (108*y + 107*y - 205*y - y**2)*(y**2 + 0*y**2 - 2 + y**2) to i + o*y**4 + b*y + w*y**3 + a*y**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -308*v + 26. Suppose 5*s = 5*w - 4*w - 31, -5*s - 32 = -2*w. Is f(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/8)\/b*b**16)\/(b**9)**(-20) assuming b is positive.\nAnswer: b**(1565\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-214)\/(-14) - (1 - 5\/7). Let f(o) = o**3 - 13*o**2 - 33*o + 21. Let j be f(a). Let i be 10\/j*((-42)\/45)\/7. Which is bigger: i or -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 402624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5 = -3*d - 0, -3*d = -4*o - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 142, 0 in increasing order.\nAnswer: -2\/13, 0, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 159063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*a + 19, 0*j - 14 = -4*j - 2*a. Suppose h - 3 - j = 0. Solve -3*t + 5 = -h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - r**2 - r**2 + 3*r**2 + 2*r**2 - 3*r**2 + (-3 + 2 + 3)*(4 - 4 + r**2) + 8*r + 2*r**2 - 8*r - r**2 - r + r)*(8*r**3 - 104*r**2 + 104*r**2).\nAnswer: 48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 61 = 3*y, 3*l + 698 = 30*y - 100 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*13311.\nAnswer: -13311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v**2. Suppose -5*h - 4788 = 3*c - 4754, -16 = 4*c + 3*h. Let x(k) be the first derivative of 7 + 0*k + 3\/2*k**c. What is s(x(q))?\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/80 - -1\/16. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670019155.1607 take away 0.3?\nAnswer: 1670019154.8607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-3)\/(-108)*3*1. Let z(k) be the first derivative of -2 - 8*k - 8*k**2 - 10\/3*k**3 - g*k**4. Factor z(i).\nAnswer: -2*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.445 - 636?\nAnswer: -635.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 35*q**2 + q. Let z(f) be the second derivative of -f**4\/6 + 4*f + 5. Calculate z(m(d)).\nAnswer: -2450*d**4 - 140*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 12*i + 40. Let c be u(-7). Calculate the highest common factor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177 - -38. Let a = c + 141. Solve m + a = -1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(8) + (sqrt(80)\/(sqrt(10)*2) - sqrt(8) - sqrt(8)))\/(sqrt(40)\/(sqrt(50)\/sqrt(5))))**2*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 5 - 90\/(-6). Let p be o\/(-45) + (-1 - 94\/(-18)). Solve 0 = 2*q + 4*l, 0*q = p*q + l - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Suppose -14*v + 11*v - 21 = i. Let q be 2 + v\/((-28)\/16). Solve -5*t = 3*f + 10, q = 4*f - f - 3*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 80 and 9.54.\nAnswer: 763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let t(y) = 7*y + 9. Let q(m) = -17*m + 104*m + 147 + 25*m. Let v(c) = 6*q(c) - 98*t(c). Calculate u(v(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, -35, -525, -1285, -2315, -3615, -5185?\nAnswer: -7025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmjkank. What is prob of picking 1 a, 1 j, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-8 + 5) - -9521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 11144?\nAnswer: -11215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illjljla. Give prob of sequence jj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78643, -314207, -706811, -1256455?\nAnswer: -1963139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 7*w - 1. Let k be p(6). Suppose -u = 3*c - 26, 13 + 12 = 5*u. Let s be 2\/c - -5*(-3)\/(-21). Solve -k = 2*z - s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293180 divided by 4?\nAnswer: -73295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + z = 10, 4 = -7*k + 5*k - 5*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1418606136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:20 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 325. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -440 + 2*n**3 + 217*n**2 + 5787*n - 8635 + 821*n - 888*n.\nAnswer: (n + 55)**2*(2*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) + (-36)\/21. Let s be g + 19 - (2 - 0). Suppose -3*n + 4*i = -s, n - i - 42 = -4*n. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 9) + 36 - (3 + 2 + -6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 9912361*t**3 + 2 - 5 + 9912365*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 r when three letters picked without replacement from riiirltitirv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 4*q**3 - 4*q**3 + (4*q**3 + 3*q**3 - 6*q**3)*(-2*q**2 + 2*q**2 + 2*q**2).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.59 - -3.59. What is the second biggest value in f, 0.04, 2, -1\/6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.430739 years to decades.\nAnswer: 0.2430739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 32. Let p = 0 + s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2910\/(-114))\/(-5) + -5 + 249\/(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + 98. Let w = b - 44. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-15))\/((-1)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 5*f**3 - 3*f**3 + f + 3 - 3*f**3. Let j be h(0). Suppose 4*o - j*z = 328, 0 = 2*o + 3*z - 96 - 86. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.966 and -22.8.\nAnswer: -67.6248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2\/7 + 92532*w\/7 = 0?\nAnswer: 0, 30844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -173\/4. Let g = 3.7 - 3.8. Which is the smallest value? (a) 0.5 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 - -162. Suppose 0*j = -3*j + 9. Let q be (8\/(-6))\/(s\/j). Solve 0 = -q*v - 1 - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 80.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13440 greater than -13440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2079 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4039*z - 4056*z - 6 = -5*a + 35, 16*a - 3*z + 23 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 115*p**4\/4 + 9*p**2\/2 - 9*p - 1303. Let a(o) = 29*o**3 + 2*o - 2. Determine -9*a(c) + 2*v(c).\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -123642153?\nAnswer: -247284306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/9)\/(51\/(20655\/108))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*l + 179, 3*l - 49 = 2*l + 5*n. Let s be 1 + -2 + 34 + 1. Calculate the highest common factor of l and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose 0 = -a + x*a - 5*u + 27, -a = 3*u - 6. Let f be 8\/176*(4\/22 - (-936)\/176). What is the second smallest value in -0.16, 2, a, f?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 410*s**5 - 444*s**2 - 5*s + 5. Let o(u) = -205*u**5 + 222*u**2 + 2*u - 2. Let v(z) = 5*o(z) + 2*x(z). What is the third derivative of v(m) wrt m?\nAnswer: -12300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361201, -361373, -361545, -361717, -361889, -362061?\nAnswer: -362233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 11*i**2 + 8*i - 51. Is k(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 2016*y + 1425*y - 477*y + 184 - 48.\nAnswer: 2964*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -5\/3 (c) 0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -18*l + 10*l + 187 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 + 227. Solve -r = -24*q + 28*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2238086*h**3 + 320*h**2 - 236*h - 5.\nAnswer: -13428516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 477*b = -479*b + 22, 1 = b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 1233?\nAnswer: 32058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10 + 68\/(-40).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose -j*f - 3102 = 5*w + 4551, 2 = -2*f. What is w rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 769285 + -401684. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4440 and 13\/848164?\nAnswer: 941462040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 8\/((-32)\/(-12)). Suppose 8*g = 12*g - 12. What is the remainder when 2 - (1 + 0 - 9)*l is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 166*p**2. Let t(j) be the second derivative of j**6\/720 + j**4\/6 + 25*j**3\/3 + 12*j + 1. Let b(h) be the third derivative of t(h). What is b(k(f))?\nAnswer: 166*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -1007, -1032, -1077, -1148, -1251, -1392, -1577?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let c(b) be the first derivative of 0*b + 13\/3*b**3 + 0*b**2 - 8. What is c(f(k))?\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(12)\/(sqrt(18)\/sqrt(3)) - sqrt(2)) + sqrt(2))*6 + 3 + (-1 + sqrt(128))*6)**2.\nAnswer: -1620*sqrt(2) + 6057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110110 (base 2) in base 15?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24716793 divided by 5.\nAnswer: 24716793\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -429, 3\/7, -1358?\nAnswer: -1358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -163, -401, -743, -1189, -1739, -2393?\nAnswer: -3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.3*-6.\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:17 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1415\/9 + -157. Is p greater than 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 16.1. Let m = -82233\/20 - -15853\/4. Let n = 149 + m. What is the second biggest value in -0.4, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g - 64 = 16*g. Let u be (-120)\/9*6\/(-10)*2. Solve g*o = 2*s + u, -s + o = -3*o + 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49)\/(-35) - 1 - 73\/(-5). Find the common denominator of 73\/50 and (-274)\/(-24) - 2\/(g + -3).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7 - -2?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 2*r**2 - 2*r - 1. Let n be l(2). Let j = 19 - n. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 9*s + 4. Let v be c(8). Let q = 414 + v. Calculate the remainder when ((-4)\/(-8))\/(3\/q) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*w - 5490 = 0, 3*j = 5*w - 8*w + 8277. Suppose -550*y + j = -545*y. What are the prime factors of y?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000003481 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 6:28 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009449 is divided by 720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4240 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-7) - (-51)\/7)\/1. Suppose 4*v - 2*v - t = g, 4*v - 13 = g. Let q be 195\/26*(1\/v + -1). Let n(y) = y**2 + 5*y + 6. Determine n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 + 93 - 13)*((-o**2 + 4*o**2 - o**2)*(2 + 1 - 6) - o + o - 2*o**2 + 0 + 0 + 2*o**2).\nAnswer: -1134*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 2. Let c be j(9). Let z = -30 + c. Let t(l) = -2*l**3 - 5*l**2 - 6*l. Let k(p) = 2*p**3 + 4*p**2 + 5*p. Give z*t(n) - 6*k(n).\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9801652?\nAnswer: 2, 7, 29, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6\/(-30)*(-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 13814 = f + 74733, f + 45689 = 3*t. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15168 + 4\nAnswer: 15172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (53 - 8784\/180)*2\/(-3)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)*r*r*r*r**(-1\/6)*r*r)\/(r*r*r**(2\/9)*r*r\/r**(-2\/5)) assuming r is positive.\nAnswer: r**(83\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30263701?\nAnswer: 13, 43, 54139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -48*r**2 - 398*r - 38. What is n(-11)?\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a milligram in micrograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(74888\/(-132))\/(-37)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00563203732 to seven decimal places.\nAnswer: -0.005632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/((-14)\/175). Suppose -q*v - 3 = -33. Suppose -v*s + 0*s + 48 = 0. Sort s, -4, 3 in ascending order.\nAnswer: -4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:23 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 10 + 17256*v**3 + 27.\nAnswer: 17256*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 4*u - l + 17 = 0, -1058*u + 1053*u - 4*l = 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*b = 16 - 2, 3*b - 70 = -5*t. Let o(z) = -z**3 + 12*z**2 + z - 7. Let k be o(12). Let f = t - k. Solve -2*a + 4 = -f*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -11, -63, -2, -716, 1 in increasing order.\nAnswer: -716, -63, -11, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (4090\/18 - 2). Let m = -224 - c. Let v be (-1 - -2)\/4 + 5\/20. What is the nearest to m in 2, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 69, 86, 119, 174, 257, 374, 531?\n\"Answer: l**3 - l**2 + 3*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1904, -6, 260, -4, 8, 0 in decreasing order.\nAnswer: 1904, 260, 8, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 74*z + 969. What is j(47)?\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = -2 - 36 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 0*y**3 - 5\/6*y**4 + 0 + 15*y - 1\/21*y**7 + 0*y**6 + 0*y**2 + 0*y**5. Find the third derivative of b(f) wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14028531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3084 - 7932047\/2572. What is the common denominator of 5\/4 and o?\nAnswer: 2572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -54, -3, -2\/11 in descending order.\nAnswer: 3\/2, -2\/11, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -13*s**8\/168 + s**5\/5 - 4*s**2 - 12. Let z(b) be the second derivative of l(b). What is the third derivative of z(g) wrt g?\nAnswer: -1560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11114, 8089, 5064, 2039, -986?\nAnswer: -4011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 5*w - 4. Let d = 34 - 38. What is u(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjbbiijbiibbbibbib. What is prob of picking 1 b, 1 j, and 1 i?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 10 - 9) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9230903 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 + 2*l - 1. Let m = 4 - 3. Let d be n(m). Solve -q + 11 = 5*h - 17, -h = -5*q + d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 3, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77.48 + 77. Let y = -1.98 - f. Put 4, y, -4 in decreasing order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4906.38um to meters.\nAnswer: 0.00490638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102322840 divided by 51161420\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 9 = h, -2*n - 18 = 4*h - 0*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8790, 9533, 10276?\nAnswer: 11019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*g = -1085308, 4*g - g = -24. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, f: 1}. What is prob of picking 1 i and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4009 - 3811. Calculate the highest common divisor of 66 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7647\/2504 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300)*-1)**2 + -5.\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*t**2 + 91*t**2 + 21*t**3)*(2*t + 0 + 0) + 2*t**4 + 0*t**4 + 0*t**4 + (2*t**2 - 3*t**2 + 3*t**2)*(0*t + 0*t + t**2).\nAnswer: 46*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - -21. Is 31 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*r**2 - r + 1 - 39*r**2 + 3*r**3 - 24*r**2 to the form i*r + o*r**2 + x + g*r**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - d + 1. Let b be x(1). Let o = 19 - 17. Suppose -b*n + 170 = u, -3*u = -3*n + o*u + 255. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119522 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -c + 3*c - 10, 2*c = z + 1. Suppose h = 4*u - 2, 0 + 3 = z*u. Suppose -h*r + 2*w - 775 = -5*r, -2*r - w + 517 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2352, -1, -8, 4, -3 in ascending order.\nAnswer: -8, -3, -1, 4, 2352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13810*v**4 + 9327*v wrt v.\nAnswer: -165720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637504 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2762, -3893, -5772, -8393, -11750, -15837?\nAnswer: -20648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 689008421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 4754?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9299470 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63488498 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.6 take away 56016130.2?\nAnswer: -56015448.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8283, -33069, -74375, -132201?\nAnswer: -206547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v + 8. Let m = 264 + -256. What is s(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00383242517 to 5 decimal places.\nAnswer: 0.00383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -3. Let f be 164\/6 - 4\/h. Let z be (1*-7)\/(1\/(-10)). What is the highest common divisor of f and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -3 + -6)\/(-1). Let c(y) = -y**2 + 10*y. Let l be c(z). Is -12 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13013740 - -1?\nAnswer: 13013741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-4) - (-3)\/(-12). Let p(h) = 5*h**2 + 15*h + 8. Let u(n) = -2*n**2 - 7*n - 4. Let s(l) = -4*p(l) - 9*u(l). Determine s(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 248?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 21*v + 14 + (-3 + 1 + 0)*(5 - 5 + 2*v) + (-2 + 2 + 1)*(-1 - 4*v + 1) to p + u*v and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*b + p, 5*b - 12 = p - 3*p. Suppose b*v = -3*v. Suppose -2*t + 34 = -4*r, v = -2*r - 3 - 1. What is the remainder when 37 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16233 + 8391*s - 16233 + 3895*s as i + h*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-32)\/((l*l**(-9)*l)\/(l\/((l**(-2\/13)\/l)\/l))) assuming l is positive.\nAnswer: l**(-700\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 177*q + 1714 = -179*q, 4*q + 854 = 2*x. Calculate the greatest common factor of 528 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = -2. Let l be 3\/(-2)*-2 + -1. What is the highest common divisor of l and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4156115701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 + 4865 = 31*z. What are the prime factors of z?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010000111111 (base 2) in base 14?\nAnswer: -7c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -250903b (base 12) to base 3\nAnswer: -111121102001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -23355 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:53 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 - 5*a. Let f(h) = 10*h - 39*h**2 + 40*h**2 - 8*h. Calculate -5*f(y) - 2*s(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 235.\nAnswer: 21\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xktytttkktyktxxkkyk. What is prob of sequence yk?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 8*s**2 - 10*s - 1. Let p be o(-9). Solve p = -k + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4732 and -45\/26026.\nAnswer: 52052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwazwwwzwwzzwzzzzwzz. What is prob of picking 1 a, 2 z, and 1 w?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 4311. Let q(l) = 185*l. What is q(g(w))?\nAnswer: 370*w**2 - 797535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**2 - 15*a - 6. Let z be ((-3)\/5 + 0\/16)*-10. Does 16 divide m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283649670?\nAnswer: 2, 3, 5, 19, 165877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, -1, 280, -5 in ascending order.\nAnswer: -5, -1, 181, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 12033?\nAnswer: -12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -264, -547, -830, -1113, -1396?\n\"Answer: -283*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/10)\/(7\/6*(-120)\/(-210)). What is the closest to -0.25 in 0, l, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4992704 by -156022.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(3\/3) - 4 - 8580\/2970\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**0*y))\/y)**(-7\/3)*(y\/(y**1\/y))**22 assuming y is positive.\nAnswer: y**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 7. Let i be j(-4). Let n(s) = 2*s + 2 - s**3 - 4 + i - s. Let g(d) = -5*d**3 + d + 2. Give -g(h) + 3*n(h).\nAnswer: 2*h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, g: 1, t: 2, p: 1, m: 2}. What is prob of picking 1 m and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 179. What is b(-37)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -977.7 + 1023. What is the third smallest value in 0.1, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 88182*p + 88182. Give x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 334447 = 2*u + 34*c - 334337, 4*u - c = 4 - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 117*t + 1403. Let g be r(-11). Is 96 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**2 - 69*c + 46. Let s(h) = h**2 + 9*h - 6. Let o(d) = 23*s(d) + 3*y(d). Let v(a) = -3528*a. Determine v(o(t)).\nAnswer: 3528*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -112, 0.1, 2\/11, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 2*b = -168. Let z be (-6)\/(-24) + (-11469)\/(-12) + -2. Suppose 5*u + 184 = z. Calculate the greatest common divisor of u and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99 - 2) + (130 - 184)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 3*v + 4. Calculate the remainder when 17 is divided by k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25571.0119914 + 25571. Let w = 0 - 0.012. Let j = l - w. What is j rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8049 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 440 - 133. List the prime factors of v.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 5*b - 2307 = -43*c, -11535 = -5*c + 2*b. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10*n - 120. Let t be 5\/(-2)*n\/30. Factor 0 - 3\/5*x - 3\/5*x**t.\nAnswer: -3*x*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r**2 - 1. Let m be f(1). Suppose m = 5*g - 12. Solve -7 = -g*x - 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*31\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/39)*g*g)\/(g**(4\/17)\/g*g)*((g\/g**(-4))\/g)\/((g*(g\/(g**(-1\/2)\/g))\/g)\/g))**(2\/3) assuming g is positive.\nAnswer: g**(7049\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 223021 and -28.228?\nAnswer: 223049.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/40 - 3*u**5\/20 - 3*u**4\/4 + 4*u**3 - u**2 + 124*u. Solve i(y) = 0 for y.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2084*b - 373 + 373.\nAnswer: 2084*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 2:22 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 146319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*w - 172, 2*p - 86 - 88 = 6*w - 10*w + 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12764165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = 0. Which is bigger: x or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 46832 + 46835. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173 - -172.72. Sort -2, w, 10, -0.4 in ascending order.\nAnswer: -2, -0.4, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l**3)*(1 + 0 + 1).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3 + 7*j**2 + 4*j + 1. What is the tens digit of z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29354522191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/5 (b) -2 (c) -1\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = -0*s - 2*s. Let i = -99 - s. Suppose -4*c + 0*c = -i. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) - 1*sqrt(1700)) + -1 - (sqrt(1700)*-1 + -2 + sqrt(1700))) + (sqrt(1700) - -1*sqrt(1700)*2) + sqrt(1700) + -4*(sqrt(1700) + 1) + 5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 745, 740, 723, 688, 629, 540?\n\"Answer: -u**3 + 2*u + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 63 = -27. Suppose -3*k = -3*h - g, -4*k + 4 = -h - 7. Suppose 0 = -k*d + 2*d + 311. What are the prime factors of d?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*y = -17, -6*w - 5*y = -5*w + 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 3. Suppose 3*i + i - 28 = 0. Suppose -i*v = -2*v. Determine t(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.08 + 0.08. What is the nearest to c in 2, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4562*y - 148. Give a(0).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -2.1878.\nAnswer: 13.1878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 5.7. Suppose -5*f + 40 = -3*v, 2*f = 16 - 18. Let t be 52\/(-9) - (v + 4 + 5). What is the nearest to y in 1\/6, 4, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m - 2. Let l(j) = 112*j. Let z(g) = 61*g. Let a(f) = -6*l(f) + 11*z(f). Calculate -4*a(q) + x(q).\nAnswer: 16*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103482756 and 22338.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42502483.\nAnswer: 1327, 32029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6*2*-1. Let b = 13.7 - 14.2. Let x = 3 - 2. What is the nearest to t in b, 0.5, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*p**2 + 97*p - 97*p + (2*p + 0 + 0)*(2 + p - 2) + p**2 - p**2 - 6*p**2 + 4*p**2 + 31*p**2 - 10*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.88638328 from -0.03278.\nAnswer: 0.85360328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxnwxw. What is prob of sequence wxw?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 + 24.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -531167\/4 or -132793?\nAnswer: -531167\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56579 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -740*n + 359*n + n**4 + 364*n + 18 to the form p*n**4 + b*n**3 + j + c*n**2 + m*n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014267121 to 7 dps.\nAnswer: 0.0000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83112.2 rounded to the nearest 100?\nAnswer: 83100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 10*r - 12. Let t be p(8). Solve -t*q = -q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29718, 119558, 269298, 478944, 748502, 1077978?\nAnswer: 1467378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 4960. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010381283808 to five decimal places.\nAnswer: -0.01038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 3*l + 3*k, -5*k = -2*l - 0*l + 160. What is the units digit of 1\/5*12 + 45\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 897836176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237885262*m**3 + 7483146*m - 3 wrt m.\nAnswer: 1427311572*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/10 and 17\/590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 19*b**2 - 32*b - 50. Calculate i(17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2021121 (base 3) to base 9\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 310 = -7*v. Let c = 24 - v. What is the least common multiple of 18 and c?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -72. Solve 2*w = -4*m - 0*m + 18, -2*m + h = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2132 or -1888?\nAnswer: -1888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -747, -1482, -2217, -2952, -3687, -4422?\nAnswer: -5157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**4\/24 - 18*g**2. Let y(p) = 71*p. Calculate y(q(t)).\nAnswer: 71*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29331153 is divided by 794.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 22. Let i be g(-10). Let l(q) be the third derivative of 2\/3*q**3 + 0*q - i*q**2 + 1\/60*q**6 + 2\/15*q**5 + 0 + 5\/12*q**4. Solve l(d) = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/1866 and 57\/4354?\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -958680 or -2876036\/3?\nAnswer: -958680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(32) + -2).\nAnswer: -16*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 685, 1350, 2017, 2686, 3357, 4030?\n\"Answer: i**2 + 662*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1822 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4078314.625 rounded to the nearest 100?\nAnswer: 4078300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 4, -27, -0.07, 12?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 50.97.\nAnswer: -50.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4, -1 in ascending order.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - i + i + (11 - 12 + 12)*(-19*i + 2*i - i) as o*i + g and give o.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(135\/240*40)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 31958400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.2175kg to micrograms.\nAnswer: 290217500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**2\/3 + 35*x - 1760\/3 = 0?\nAnswer: -32, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (54\/72)\/(3\/28). Suppose -832 = -a + j + 299, 2*j - 4554 = -v*a. List the prime factors of a.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1535, -2165, -2827, -3521, -4247, -5005?\n\"Answer: -16*p**2 - 582*p - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331 + 102323201?\nAnswer: 102330132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7)\/(((-33)\/(-22))\/(-3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3447 + 3485. Calculate the least common multiple of 2375 and j.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660302 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568869832.\nAnswer: 2, 6199, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 11, 1, 0, 3 in descending order.\nAnswer: 11, 3, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -113479017 - -1220?\nAnswer: -113477797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-20)*-2 - (-20 + 25)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.039?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 2 - 2)*(-10*l + 14*l + 10*l - 5*l + 0*l + 4*l + (6 - 3 - 2)*(6*l - l - 3*l) + 2*l - 2*l + l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -819.91 - -1856.29. Let a = y - 1026. Let b = a - 11. What is b rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*z + 14. Let r = z - 4. What is the smallest common multiple of 1\/2 + 33\/6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*w**2 - 4 + 14 - w - 4 + 6*w**3 + 11*w**2 - 5 in the form u*w**3 + k + z*w + s*w**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) - (-8)\/36. Let s(k) be the third derivative of -2*k**2 + 0*k + 2\/15*k**3 + p + 3\/50*k**5 + 11\/60*k**4. Factor s(w).\nAnswer: 2*(w + 1)*(9*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 14*o**2 - 21*o - 16. Let x be v(15). Let j = -75 - x. Suppose -9*k - j = -4. Which is greater: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5714176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29728685968 + -0.4\nAnswer: 29728685967.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55\/28 - 12\/7. Let r = 119 + -124.1. Let b = 1.1 + r. What is the smallest value in -0.5, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 + m**2)*(14 + 13 - 32 + 6364*m + 5).\nAnswer: 12728*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 448, 1, 5, 7 in increasing order.\nAnswer: -1, 1, 2, 5, 7, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 4*y - 2. Let n(t) = -9*t**2 + 7*t - 3. Let x(v) = 4*n(v) - 7*o(v). Calculate x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*y = -8, 10*w = 15*w + 5*y + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 23.66, 2\/19, 2\/5, -5\/2, 0.2?\nAnswer: 23.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 q, and 2 t when four letters picked without replacement from gtqqgqqbtqqsqsqqds.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 25\/3. Let w = 45.5 - 46. What is the third smallest value in w, 7, p?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24330 - ((-1375)\/(-165) - 14\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1 - 9 - (-2 + 1))\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**5 + 6234*m**4 + 138672*m**3 + 663266*m**2 - 439536*m - 368640 = 0.\nAnswer: -1536, -15, -8, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2575844 - 2575842.509927. Let t = -1.49 + f. Round t to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31831?\nAnswer: 139, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 128, 252, 378, 506, 636?\n\"Answer: y**2 + 121*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*l + 7, 43*n - 38*n + 10 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 471*q**5 + q**4 + 228*q**3 - 3*q**2 - 8114*q - 5 wrt q?\nAnswer: 28260*q**2 + 24*q + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -87731 and 0.08107124.\nAnswer: -87730.91892876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 + 11)) + (-115 + 133 - (-3 + -5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.752 + 5.752. Which is the smallest value? (a) 111 (b) -3 (c) s (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = m + f, 0 = 3*f - 2 - 10. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.202345757 to 5 decimal places.\nAnswer: 2.20235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Let m(f) = f**3 + 4*f**2 - 3*f + 12. Let z be m(-5). Sort z, 3, x in decreasing order.\nAnswer: x, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1407 = 3*o - 1889, -k = -o + 1108. Suppose -1099*y - 1320 = -o*y. Is y a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*4\/1*(-20)\/16. Solve -m*h + 19*h = -24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-694785)\/(-169) + 2 + 28\/(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 + 6*o**3 + 9*o**2 + (-2 - 2 + 5)*(o - o + 2*o**3) in the form m*o**2 + f + k*o + b*o**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56.4 - -55. Let p = -0.8 - o. Let r = p - -2.4. What is the biggest value in 0.3, -0.1, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.6 + 13. Let h = -4.2 + 3. Let y = s - h. Put 0.4, 0.3, y in increasing order.\nAnswer: y, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658794 is divided by 335.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 + 158. Suppose 19 = 3*x + 4*k, -k + s = 2*x + k. Let g(d) = -d + 12. Determine g(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -2\/3, -12168, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/15 + 5\/15. Put -3\/7, q, -4 in decreasing order.\nAnswer: q, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s**3 - 18*s**2 + 7*s - 5. Let o(w) = -w - 5*w**3 - w - 2*w + 9*w**2 + 2. Let q(u) = -2*a(u) - 5*o(u). Factor q(r).\nAnswer: 3*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -34. Let h(b) = -2*b - 27. Let x be h(p). Solve 0 = 2*c + x - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337218873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 4, p: 6}. Give prob of sequence pptp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4374452?\nAnswer: 2, 71, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2630\/33 + -39979\/165. Let n = h + 162. Which is the smallest value? (a) 0.2 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbwdbbwwwbwb. Give prob of picking 2 w, 1 d, and 1 b.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/45 + (-152)\/(-6). Suppose -w + s + 6 = 0. Differentiate w*n + 13 - 6 - 30*n with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-36)\/(-6)*(-57)\/(-9) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-3))\/(53\/318)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3480 or -38268\/11?\nAnswer: -3480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2792*q**2 + 14025*q + 134998163 wrt q.\nAnswer: 5584*q + 14025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 9*v**2 + 10*v + 1. Let z be p(10). Solve y - 3 = -z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -980*i - 171732. What is g(-176)?\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*32\/12)\/((-2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/75 and 115\/6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77, 81, 85, 89, 93, 97?\n\"Answer: 4*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 146044065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*i - i = 16, 3*y + 2*i = 81. Suppose 0 = -4*k + 5*d + y, -4*k + 0*k = -4*d - 20. Suppose k = -6*b + b. Solve b*c - c = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 9*o**2 - 10*o - 12. Let s be d(10). Calculate the least common multiple of 3 + (-4 - 1) - s and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - 22?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 1\/3*r**4 - 8\/3 - r**3 + 4*r - 2\/3*r**2 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14)\/(19\/38).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7356 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z**6 + 2\/3*z**3 + 0*z**5 + 0*z**2 + 4\/7*z**7 + 0*z**4 + 2 + 0*z. What is the third derivative of r(h) wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 5*r + 1\/3*r**3 + 8 - 3\/2*r**2. What are the prime factors of g(9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 - -3. Let o = t + 0.6. Let r = o + 0.8. Sort 3, r, 0.5 in increasing order.\nAnswer: r, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1390972 divided by 1252\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-18732)\/60 + 11)*-5 is divided by 304?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.045 - 15. Let f = 0.0395 - -0.3055. Let o = g + f. What is o rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-64))\/(-1 - (-18)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6161434 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4816 less than -4808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 - 5*z**2 - 2*z - 5. Suppose 4*h + h + 15 = -w, -3*h = 5*w + 31. Let s(f) = f**3 - 2*f**2 - f - 2. Let d(k) = h*o(k) + 5*s(k). Give d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2100 is divided by 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 533071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c - 2 = 0. Let q be (-1)\/c - ((-44)\/(-8) + 3). Calculate the remainder when 17 is divided by (22\/q)\/(3\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 2)*(3*m - 5*m + 0*m) + 3 - m - 3 - 4*m + m + m)*(-411*m**2 + 74 - 74).\nAnswer: 411*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 29 = 1. Let n = o + -7. Let b(x) = -x**2 + 6*x - 5. Let z be b(5). Solve 0 = -4*l + 4*h - n + 12, 2*h - 4 = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -3, 14, 5 in decreasing order.\nAnswer: 14, 5, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 + 2?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -42. What is the lowest common multiple of b and (-1 - (-12)\/14) + (-283337)\/(-15617)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, i: 2}. Give prob of sequence bbii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 8*p + 14 - 5 + p**2 - 5.\nAnswer: 4*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let k be (-2)\/2*3 - v. Let b(p) = -1426 + 776 + p + 649. What is b(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*s**2 - 1123 + 1123 + (-2*s - 7*s + 6*s)*(-s + 3*s - 4*s) - 2*s**2 + 2*s**2 + 3*s**2.\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*u - 4, -2*u + 6 = -0*m + 2*m. Solve -6 = u*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, -13, 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x - 6. Let d(b) = -b + 5. Let f(u) = -u**3 + 8*u**2 + 9*u + 9. Let k be f(9). Let l be d(k). Let r(z) = -3*z + 5. Determine l*p(o) - 5*r(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**8\/840 - 3*r**7\/175 + 7*r**6\/100 - 19*r**5\/150 + r**4\/10 - r**2 - 826. Find o such that a(o) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -12*j - 27 - 9\/2*j**2. What is the first derivative of q(b) wrt b?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 21, 33, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4448*i - 4090*i + 2638*i + 3288*i + 6200*i.\nAnswer: 12484*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/163, -1\/3, 0, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {x: 5, y: 4, a: 8, s: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21976959 a multiple of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 26, -35, 193.\nAnswer: -35, -7, -2, 26, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 5, d: 3}. What is prob of sequence cdcc?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 632627 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 22*t = -3*o - 1867, -7570 = -4*t - 5*o. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 12120?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + -13077?\nAnswer: -13098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**(-7))\/h)\/h))\/(h*h*h*h\/(h**(2\/9)*h*h*h)*h)*h**(-4)\/((h**(-1\/2)\/h)\/h))**(-2\/87) assuming h is positive.\nAnswer: h**(-103\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:59 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let k(j) = 56*j**2 - j. Calculate q(k(l)).\nAnswer: 168*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*t + 9*t + 12*t)*(9*t**3 + 6*t**3 - 7*t**3)*((4 - 3 + 1)*(-2 + 1 + 0) + 3 - 29 - 14 - 3 + 1 + 0).\nAnswer: -16544*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8329, 8323, 8311, 8287, 8245?\nAnswer: 8179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -639575, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 277406 and 34.\nAnswer: 277406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 9. Suppose 0 = -2*i - 5*g + 37, 3*i - g - 13 = -0*g. Let b be s(i). Calculate the smallest common multiple of (-2)\/(-6) + 5\/b and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181260488 a multiple of 1348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (1 + (5 - 0) - (1136 - 1125))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 36*l**3 - 2851*l**2 + 2886*l.\nAnswer: l*(l - 74)*(l - 1)*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 6*f**2 - 2*f. Let r(v) = -v**3 - v**2 + v + 1. Let z(k) = -d(k) + r(k). Let l be z(-3). Let o = 2 - 2. Solve o = 4*c + l + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3120*z - 199982 - 55858 = 0 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 7:41 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6, 5*b = -3*g + 5 - 3. Let c(u) = 5*u**2 + 2*u + 1. Let d(i) = 6*i**2 + 3*i + 1. Determine g*d(l) - 6*c(l).\nAnswer: -6*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 737978258, 737978257, 737978256?\n\"Answer: -g + 737978259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*y - k - 1, 2*y - 5*k - 17 = 0. Let n = 14 - 13.97. Which is the closest to y? (a) n (b) 4\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46295 - 6a6?\nAnswer: -4696b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4fcbfe (base 16) in base 5?\nAnswer: -2314321231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 5*o - 81630 + 81634, 13 = 3*g - 4*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c. Let u(h) be the third derivative of -h**3\/3 + h**2 + 42*h. Let m(j) = -29*j + 10. Let f(s) = m(s) + 5*u(s). Calculate f(i(w)).\nAnswer: -203*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 3*c + 3*c + 0*c - 6 + 1 as x*c**3 + n + f*c**2 + t*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 4*w**3 + 4*w - 18*w**3.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1518*i - 4581 + 298684*i**2 - 149338*i**2 - 149343*i**2.\nAnswer: 3*(i - 509)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 10:26 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (12\/(-9) - 0)*-3 is divided by ((-3)\/2)\/((-12)\/16).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*j + 9, -3*j - 65 = 5*i - 8*j. Let m be ((-8)\/10)\/(i\/20). Suppose 0*x = m*x - 8. Solve -x = d - 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-154*i - 51*i - 162*i)*(-4*i**3 + 3*i + 5*i**3 - 6*i) to x + r*i**2 + d*i**3 + p*i + o*i**4 and give o.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5067608*f**3*h - 54*f**2 + 10*f*h - f + 2*h + 10 wrt f.\nAnswer: -30405648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*sqrt(684).\nAnswer: -36*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (200\/12 - (-1)\/3) + -3. What is the greatest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -915, -1633, -2171, -2529, -2707?\nAnswer: -2705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6212*a**2. Let l(q) = 23 + 4 - 685*q + 683*q - 27. Determine u(l(g)).\nAnswer: 24848*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1545 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, x: 5, o: 2}. Give prob of picking 1 x and 1 o.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*d**4*k**3 - 2*d**4*k**2 + 2*d + 3*k**3 - 5*k**2 wrt d.\nAnswer: -324*d**2*k**3 - 24*d**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + 1 + -1 + -1 + -34895 + 34899.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.7 + 10.6. Let y = -0.07 + -3.93. Let p = -238 - -236. Which is the nearest to u? (a) y (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1853*n - 829. Is x(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jja when three letters picked without replacement from jataj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 - 37282*y - 30498820 = 0.\nAnswer: -785, 19426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 1965 = -3*o. Suppose -6*m = -951 - o. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v + 470 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6)\/15 + (-78)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhh. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91583 is divided by 2233?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - b**2 - 3*b + 6. Suppose 12*j + 18*j + 21*j + 204 = 0. What is m(j)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 5139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*s - 12, p = 2*s - 0*p + 12. Let f = -2 - s. Let r(n) = -n + 3. Let k be r(f). Which is the third biggest value? (a) -0.5 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37939, 75886, 113831, 151774, 189715?\nAnswer: 227654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 - -190. Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3103\/6 + 522. Calculate the common denominator of 2 + (1 - 111\/4) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -17. Let g be ((-50)\/(-35))\/(n\/(-42)). Solve 4*p = g, -t = 5*p - 13 - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -3*x**2 - 41. Let f(h) = -6*h**2. Give c(f(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/43004 and 107\/26404456?\nAnswer: 26404456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6. Let r be v(0). Solve -f = -r*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((((n\/n**0)\/n)\/n)\/n*n))**(-3\/2))**(1\/20) assuming n is positive.\nAnswer: n**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -292.947 - 0.053. Let r = w + 292. What is the smallest value in 6, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*28\/(-686))\/(3\/112).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 43850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 - 81*b**2 + 2187*b - 19683 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.94 + -3.06. Let l = 0.1 + 0.1. Let x = -0.4 + l. Which is the second biggest value? (a) x (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 + -3) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 11*j + 41. Let s be ((-13)\/(-78))\/((-16)\/1248). Calculate o(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(171)\/(sqrt(9)*-2))**2 - (sqrt(19) + (sqrt(304))**2 + 2).\nAnswer: -1053\/4 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 at least as big as -1466\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 2962?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*s - 155 - 1437 + 3307 = -2975 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2180 and 146880.\nAnswer: 16009920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22631 by -22631.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*5*(-8)\/(-96) + 162\/(-108). Which is the nearest to 0.2? (a) 2\/19 (b) m (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 7*f**5 + 3*f**5 + (-386 - 545 + 146 + 55)*(0*f - 2*f**5 + 0*f).\nAnswer: 1459*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47288?\nAnswer: 2, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 7*p**2 + 7*p + 10. Let c be 36\/(-30)*40\/(-6). Let t be o(c). Solve 0 = -2*l + t - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 5. Let s(b) = 3*b**2 - 4. Let q(k) = -5*s(k) + 4*x(k). Let a(p) = -6*p. Give a(q(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18275*o + 4880 wrt o.\nAnswer: 18275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6868167)\/(-9) + 9\/(486\/(-36)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(-119) + -1)\/((-4)\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 291 - 135. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(475)*4 + (sqrt(475)*2 + -2 - sqrt(475)))**2 - ((1*sqrt(228)*-2)\/(sqrt(192)*-1))**2.\nAnswer: 140*sqrt(19) + 93097\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1134 and 1296?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 3*a + 153 = 0. Let -12*u**2 + 4 - u**2 + 10*u + a*u**2 = 0. What is u?\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 71\/184482?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-1 - 2) - -2. Let z be (-19 + 5)\/(1*d). What is the greatest common factor of z and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5228864 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6083 - -6082.982744. What is h rounded to four dps?\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + ((-12)\/5 - -4). Let j(v) = -8*v + 0*v + 9*v - v**2 - v**a. What is j(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6674*o = -6319*o + 710 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 7*y - 9. Let w(z) = -4 + 3 + 8*z**2 + 4 - 2. Let a be w(1). Let p be b(a). Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeeq. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*d**3 - 637446*b**2*d - 100*b*d**4 - 158*b*d**2 - 9*b wrt d?\nAnswer: 6*b**2*d - 1200*b*d**2 - 316*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4\/7 + 6*c**3\/7 + 6276*c**2 + 87834*c\/7 + 6273 = 0. Calculate c.\nAnswer: -119, -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/147 and -61\/10549.\nAnswer: 221529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9200 - -9234. Calculate the remainder when r is divided by (1 - 0)*(8 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 + 7*x**2 - 7*x - 7. Let y(h) = 5*h**3 - 8*h**2 + 8*h + 8. Let i(g) = -87*g + 3474. Let v be i(40). What is v*u(f) - 5*y(f)?\nAnswer: -f**3 - 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 209.1 (c) -5\/2 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 10*q + 40. Suppose -2*n + 2*b - 204998 = -0*b, -q*b = 3*n + 307505. What is n rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 63961388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 - -93.5. Let i = q + 54. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450006 is divided by 498.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r - 16. Let q be h(3). Let z be (-440)\/(-240) - q\/6. Put z, -5, 132 in decreasing order.\nAnswer: 132, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -157, -160, -147, -106, -25, 108, 305, 578?\n\"Answer: 2*d**3 - 4*d**2 - 5*d - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41932575.\nAnswer: 3, 5, 227, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + f + 1)*(-f - 2*f + f) - 4*f - 2*f**2 + 4*f + (-2 + 4 - 1)*(-2 - 2*f**2 + 2).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13921444 at most 13921439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 899*s**2 - 1 + 843*s**2 - 1805*s**2. Let h(k) = 3*k. Determine h(x(u)).\nAnswer: -189*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:11 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*x + 6. Let m = 6 - 0. Let c be (5 - m) + 4 + 1. Solve x = -c*s - 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378*p - 2013*p - 6985 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - p - 21, -2*p + 14 = 3*k + 1. What is the second derivative of -k*f**3 - 18*f - 7*f**3 + 15*f**3 - 20*f wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.3 (c) 2\/209 (d) 0.09 (e) -30\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9743230 to the nearest integer?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 1. Let j be y(-2). Differentiate -9*a - 6*a + 2*a - j + 20 with respect to a.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16)\/(((-6)\/15)\/(160\/100)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = -2*j + 4, 4*y = 5*j - 13. Let k be (429 + -5)\/(j\/125). What is k rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12075300, -12075279, -12075244, -12075195, -12075132?\n\"Answer: 7*d**2 - 12075307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebubuuuuvu. What is prob of sequence bb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 51*h - 39. Let p be ((-1)\/2)\/(5\/(-20)). Let q(n) = 4*n - 3. Let b(l) = p*k(l) - 27*q(l). Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 233*k**7\/21 + 7*k**4\/6 - 3*k**2\/2 + 232*k. Find the third derivative of u(r) wrt r.\nAnswer: 27960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 + 1752*o**3 - 5390*o**2 - 102204*o - 210960 = 0. Calculate o.\nAnswer: -879, -4, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from fynzzdrdydfndyr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Let g(w) = 38*w**2 + 7*w - s + 1 - 39*w**2. Suppose 6 - 13 = -k. Calculate g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 23646*n\/5 - 1892.\nAnswer: 2*(n + 2365)*(5*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1029 or 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 507, 6, -5, 3 in descending order.\nAnswer: 507, 6, 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let y(n) = n + 2*n + 2*n + 3*n. What is y(i(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.5 (c) -6 (d) 2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + j + 4*y - 4, 2*j - y = -3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -995 (base 12) to base 6.\nAnswer: -10305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234112 is divided by 58527.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46690743 to the nearest integer?\nAnswer: 6833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 7\/(-2)*(-10)\/(-25). Sort 21, o, -3.\nAnswer: -3, o, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54 or -65?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 97. Let a be p(-19). Let j be 2\/(-7) - (-191)\/7. What is the greatest common factor of j and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**3 - 7*v + 35. Is m(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1304 or 2\/39?\nAnswer: -1304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63389*b - 19203 = 63908*b for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1020243552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/((-1)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963169684?\nAnswer: 2, 47, 1697, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/14230397 or 0?\nAnswer: 6\/14230397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5086227 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2308, -4645, -6982, -9319?\nAnswer: -11656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + 8 + 2*q**3 - 19 + 10 - 2*q**2 in the form r*q + s + l*q**2 + n*q**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52686000 a multiple of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.56 plus 16?\nAnswer: 20.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18 + 1*29\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5371 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356 - -537. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4491 - -4494. Let r(c) be the second derivative of y*c**2 - 34*c + 4\/3*c**3 + 0 + 1\/6*c**4. Solve r(o) = 0 for o.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/(g*g**(2\/9)))\/g*g)\/g))\/g**(-12\/13) assuming g is positive.\nAnswer: g**(368\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -8*h**2 + 0 + 13\/6*h**3 - 1\/24*h**4 + 0*h. Let i(q) = -q**2. Determine i(n(k)).\nAnswer: -k**2 + 26*k - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*j + 1 - 611*j + 1185*j.\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one sixths of a minute?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7154639471.2 - -7154641060.03032105. Let t = -1597.03032 + a. Let h = t + 8.2. What is h rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37.6 and 28489769?\nAnswer: 28489806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/4 - (-1 + -4). Suppose -3*c - 18 = -6*c. Suppose -n + c = n. Do g and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbh when three letters picked without replacement from {c: 4, h: 6, l: 2, d: 3, g: 3, b: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*w - 48*w + 5*w**2)*((-w - 3*w + 6*w)*(-2 + 0 + 1) + 7562 - 7562 + 5*w) as j + y*w**2 + k*w**3 + n*w and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -0.0500043. What is r rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4 - 400*q**3 + 7755*q**2 + 19600*q - 392000 = 0.\nAnswer: -7, 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Suppose 6*y = 167 - 17. Suppose -4*n - 7*f - 36 = -3*f, 0 = -5*f - y. Let j(b) = -b. Calculate n*j(a) - d(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.82 - -13. Let y = 0.758 - -0.062. Let s = y + u. Which is bigger: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4 - 203*f**3*h - 106*f + 3*h wrt f?\nAnswer: 12*f**2 - 1218*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + 0.26. Let p = -0.13 + -2.07. Let y = c + p. Do y and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*y = 5*d + 221*y + 4, 8*d = -4*y - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*z - 18. Let d be -3 + 0 + z - -11. Solve 3*f + d = 2*q - 5, -3*q + 2*f = -14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45613488 = 16*l + 29*l + 3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.084 + -0.084. Let q = l + -35.999958. Round q to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -440*h + 458*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -13. Let u be 6\/9 + p\/3. Let d be (u - (-3 - -3))*-1. Solve -2*a + d*a = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7904608 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j + 24 = 46*j + 3*c, 8*c + 20 = 2*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862573641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -12, 4, -9\/5894.\nAnswer: -13, -12, -9\/5894, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/63)\/((-3)\/42). Suppose 2*y + 4*g + 70 = 0, k*y - 2*g + 166 + 24 = 0. What is the tens digit of (y\/(-2))\/(2\/(20\/5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, c: 12}. Give prob of sequence ccnn.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 18\/245 (c) 2\/7 (d) 5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 18*d + 3. Suppose 0 = 17*f + 1 - 52. Is 2 a factor of i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 14762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.42148073 - 0.074\nAnswer: -0.49548073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, t: 4, n: 1, w: 3, y: 5}. What is prob of picking 1 x and 1 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let h(u) = -3*u**3 + 5*u + 2*u**3 + u**2 - 2*u**2 - 3*u**2. Let j be h(-5). Let p(k) = j*k + 2 - 2*k - 2. Give p(z(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + 3 + -1.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 8:14 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(4 + -3)*1. Suppose 4*k - 82 - 22 = -4*q, j*k - 4*q = 46. Let v = k + -21. Solve -5*f = v*b - b + 2, 4*b + 14 = -f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Which is smaller: 0.073 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 12) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 404*l**2 + 69*l + 46. What are the prime factors of z(-6)?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9828 and 72646119.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -399200 to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -7*s + 56 + 0*s**2 - 10\/3*s**3. Let x(k) = 3*k**2 + 2. Give 4*d(c) + 14*x(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2930.652271 to the nearest 10.\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 4.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 158*i**3 - i**4 + 4 - 149*i**3 as b*i**2 + w*i**4 + g*i**3 + a + k*i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -6*w. Let x = 3 - w. Solve 2*n = 2*l + 4, 0*l - 3*l = -x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15229783157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13446778 is divided by 10588?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/(2\/4)*3. Let l(z) = -z**2 - 4*z + 1. Calculate l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p**5\/5 - 111*p**4 + 2694*p**3\/5 + 7809*p**2\/5 - 20772*p\/5 - 8316 = 0 for p.\nAnswer: -2, 3, 11, 105\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:23 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227213181?\nAnswer: 3, 13, 47, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -43. Let p = -18 - l. Differentiate 4 + 13*k - p*k - 5*k**3 wrt k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13274448 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.017 - 0.983. Let o = -60.106 - -0.106. Let y = o + 61. Put n, y, 1\/10 in decreasing order.\nAnswer: y, 1\/10, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 times 6\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -7) + 4 + -7 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 3*s - 3. Let n(o) be the second derivative of o**4\/6 + 28*o**3\/3 - 31*o**2 + 7*o + 6. Let j be n(-29). Give h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + -8 - (-3 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 2*f + 2*f)*(-f**2 - f**2 + 3*f**2)*(7649*f + 5609*f - 5202*f + 10776*f) in the form x + m*f**4 + i*f + z*f**3 + u*f**2 and give m.\nAnswer: 18832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10231 (base 4) to base 12.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a7c0a5 + -9?\nAnswer: -a7c0b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/50 and -25\/48626.\nAnswer: 1215650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d**2 + 11*d**2 - 5*d**2 in the form v*d + a*d**2 + m and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5 = 2*m - 8*m - o, 0 = -12*o - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u - u)*(1 - 3 + 5)*(-3 - 1 + 2) - u + 5*u - u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 197?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 7*w + 6. Let j be 0\/(1 - (w - -1)). Suppose 2*q - t - 24 = -j*t, -12 = -q + 2*t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.33 + -14.27. Let w = 287315 - 287329.59919. Let c = p - w. Round c to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a decade?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, c: 13}. What is prob of picking 4 c?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 6*o - 4. Let y be c(4). Let i(s) = s**2 - 3*s - 4. Let f be i(y). Suppose n - 3*n + 12 = f. Solve -n = -m + 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t - 1. What is j(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/9)\/g**(-3)*(g\/(g\/(g*((g**(1\/8)*g)\/g*g*g)\/g)))\/(g**(-1)*g) assuming g is positive.\nAnswer: g**(353\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 2, -0.0218, -0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/64*(4 - 6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -235 - -235. Suppose h + x + 11 = 3*h, -3*h + 3*x + 12 = m. What is the remainder when (-1 - 0)\/((-11)\/286) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1000\/(-6)*(-1)\/(-11). Let o = -9013\/462 - t. Let z = -328\/7 - o. What is the common denominator of z and -79\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -l - 2, -4*f - 2 - 8 = -2*l. Suppose 4*t - 2*j + 3*j = 35, 2*t + 5 = -5*j. Calculate the remainder when t is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -15aa0?\nAnswer: 15aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(160\/705) + 9.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 8*i**2 - 7*i - 14. Let k be b(-7). Let y(a) = -a**2 - 19*a - 28. Let j be y(k). What are the prime factors of 4\/(20\/(-15)) + j + 1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 469 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0728863 to 3 dps.\nAnswer: -5.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -24821.3, 2, 0.5, -28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/(-25))\/((2\/(-3))\/(-1)). Suppose 0 = m*d - 2948 - 3562. Suppose -d = -4*n - 3*i, -3*n - i = -4*i - 1617. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1791949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-960)\/(-20))\/192.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4888 - 4877. Solve 0 = a + i - 10, -2*n = 2*a + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.704 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10374080 divided by 610240?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 + -104. Is 1029\/7 + b\/((-2)\/(-4)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d + 2376 - 2376.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17924, -17952, -17750, -17204, -16200, -14624?\nAnswer: -12362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 + (11 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -105*z**2 - 11*z - 8. Let j(v) = -2*v - v - 1 + 70*v**2 + 10*v + 6. Let t(f) = 8*j(f) + 5*o(f). Does 12 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -109. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191 * 3714776\nAnswer: 709522216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(1377).\nAnswer: -1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 131836.9151?\nAnswer: 131832.9151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -125\/4. Let d = -2.05 - -2. Which is the nearest to 1? (a) 1 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6. Suppose -4*z + z + 5*l - 5 = x, -4*z - 2*l + 2 = 0. Let f be z - 1 - -1 - -6. Solve 4*a + 16 = 5*g + 2*a, -5*a + f = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 28*j + 14. Let d be z(28). Let o(t) = -488*t + 3. Let m be o(-3). Let f be (-4)\/(-22) + m\/99. Which is greater: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14038 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0405 - 481.0405. Let g = 481.0273 + o. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 12:11 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 52*i**3 - 2*i**2 - 4*i + 4. Does 24 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 at least -20882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f**2 - f + 1. Let y be n(13). Let s = y - 377. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 435, 3, -0.4 in decreasing order.\nAnswer: 435, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/627 and -103\/1031985?\nAnswer: 11351835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*z**2 + 34*z**2 - 102*z**2 + (2 - 1 - 2)*(-2*z**2 + 2*z**2 + 2*z**2).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.4 + -6.9. Suppose -4*w - 2 = -38. Suppose 8 = 5*m - w*m. Which is the closest to -0.1? (a) 1 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/(((-34749)\/(-231))\/81).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*q**3*y**2 + 2*q**3*y - 17*q**3 - 2*q**2*y**2 wrt y?\nAnswer: -22*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6302a (base 13) in base 8?\nAnswer: -533511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 + 5*f**3\/3 + 8*f**2 - 25*f. Let d be q(11). Solve h - 5 = 3*v, -d*v - 13 + 3 = -2*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r - 25*r**3 + 2*r**2 - 5*r + 26*r**3 - 4*r**2 to i + h*r**2 + s*r**3 + n*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/284027 and 87\/2438.\nAnswer: 568054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 588329 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s**4 + 2)*(3 - 10 + 11)*(-2 + 2 - 2).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 1, f: 1, k: 1, s: 1, x: 2}. What is prob of picking 1 x, 1 l, and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4075765 and 2757.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 - -4 - -4 - 1. Let m be (y\/40)\/((-2)\/(-6)). What is the closest to -6 in m, -0.2, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34024857 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f. Suppose -2*n - 4684 - 8214 = -4*y, -y - 2*n + 3227 = 0. Suppose f = d + 4, -5*d - y = -0*p - 5*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 66 + 0*x + 2*x - 64. Let u(f) = f + 1. Give -6*m(g) + 11*u(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v + 7. Let q be h(19). Suppose q*p = 221*p - 10. Find the second derivative of 12*r**p + 19*r + 4*r + 11*r wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 408 = -2*m, -3 = m + 3*b - 215. Suppose -7*o + m = -2*o. Suppose 49 = 4*r + z, o = -0*r + 5*r - 3*z. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -682 + 154. Suppose -4*s - 5*o = 1403, -5*s = -2*o + 695 + 1034. Let m = s - x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -5*sqrt(18))**2.\nAnswer: 360*sqrt(2) + 1398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 7*c + 110 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203)\/42 + (-5 - -9).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Differentiate -6*f**n - 2 - 1 + 5*f**2 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 825.18 and -57.\nAnswer: -47035.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**4 - 944*r**3 + 3*r**2 + 2*r + 100 wrt r.\nAnswer: 120*r - 5664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*p + 14 = 0, 0*m - 5*p = 3*m + 28. Let s be 6\/(-18) - (m\/(-9))\/(-2). Solve 3*t + 21 - 6 = s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 984 and 984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8034894 is divided by 646?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djdd when four letters picked without replacement from {j: 1, d: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 2*c**3 + 6*c**3 + 41 - c in the form x*c**3 + u*c**2 + v*c + l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/9 + 6548*x**3\/9 + 3458984*x**2\/9 - 1124325040*x\/3 - 4551391296 = 0 for x.\nAnswer: -1874, -12, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3336 = -10*a - 556. Calculate the remainder when a is divided by 59.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.958672 kilograms in tonnes?\nAnswer: 0.007958672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 times -126?\nAnswer: 52.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = z + 3*z + r - 51, -4*z - 194 = -6*r + 16*r for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from vhvhhhhhh?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -574, -573, -572, -571, -570, -569?\n\"Answer: c - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334e73 (base 15) to base 7.\nAnswer: -26540256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -10. Suppose 3 = -s + v. Suppose 4*m - 3*r = 46, 3*m + 5*r = s*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3\/4, 0.4, 697, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 4*z - 18, -3*n - 2*z = -2. Let w be ((-3)\/n)\/((-6)\/(-8)). Let b be 240000\/(33\/15 - w). Round b to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42473 + 973 = 10*z. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) + -2*sqrt(1377) + sqrt(1377))*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 + 391*u - 2 - 2 - 402*u.\nAnswer: -11*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Solve 7*o - c*o + 29 = -y, -2*y - 28 = 4*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21366 (base 8) to base 6\nAnswer: 105234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071792 rounded to seven decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 33966.\nAnswer: -4\/16983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 21*c**5 - 1905975*c**4 - 2450568*c**3 - 544572*c**2 = 0.\nAnswer: -1, -2\/7, 0, 90762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -1.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*w - w + 10 = 0, -4*w + 8 = -4*l. Let x = -0.76 + 0.7. Let b = 0.36 + x. What is the nearest to 1 in 0, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4cc4d + 8b9?\nAnswer: -4c374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -38. What is the highest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7659*a**2 - 2933*a**2 + 1692*a**2 + 5258*a**2 + 10293*a**2 to k*a + j + c*a**2 and give c.\nAnswer: 21969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {e: 6, m: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 45*p**2 - 46*p + 9. Let u be v(46). Solve 2*l = 4*a + 6, -3*a = l + a + u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 32*s**3 - 196*s**2 + 288*s - 126.\nAnswer: 2*(s - 3)*(s - 1)**2*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116\/337 at most as big as -666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 19. What is the nearest to f in -0.2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**2 + 3*q**4 + 4*q - 4 - 7*q**2 + 5 to x*q**3 + c*q**4 + g*q + b + o*q**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.59647 meters to centimeters.\nAnswer: 4759.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850436281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 599*z - 7. Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r + 78. What is z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -88, -5, 3, 9, -4 in decreasing order.\nAnswer: 158, 9, 3, -4, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3)*c*c**(3\/2)*c**(-16)\/(c**(2\/29)\/c*c))**30 assuming c is positive.\nAnswer: c**(-13545\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 3. Let r(d) = -2*d**2 + 34. Let b be r(0). Suppose -26*x = -b*x - 64. Let w be h(x). Solve w*j + 5*t + 21 = -9, -3*j = 2*t + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -2 (c) -1\/7 (d) 2\/5 (e) 87.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3\/3 - 2*a**2 + 3*a + 6. What are the prime factors of t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-31 - -56)) + 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/107570 and 12\/436766471.\nAnswer: 4367664710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, l: 1, h: 6, s: 1, o: 2}. Give prob of sequence vhvl.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -0*h + 2*n, n + 3 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15 + g**2 + 183 + 47*g - 62. Let s be z(-44). Solve 3*u + 12 = -s*f + u, 4*u = 5*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000884937 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4739 + -5384. Is -643 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343370 = 64*g - 40246. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16705 + 16705.1. Let o = -0.01 + 3.01. Which is the third biggest value? (a) 1\/3 (b) -3 (c) o (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 27\/2. Suppose -4*k + 13 = -5*f, -3*f + 4 = 3*k - f. Solve -1\/4*o**4 - h*o**3 + 0 - 1\/4*o**k + 0*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 15. Determine t(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -326.4179429 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -393 + 393.379. Let a = 1.6932 + 0.4958. Let u = a - t. What is u rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.61 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allmylylaall. Give prob of picking 2 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*(3 + 22\/(-10)). Let x be (8\/10)\/(-2) - i\/(-5). Suppose 0 = -5*u + x*y - 6*y + 1124, -4*u - 5*y + 892 = 0. 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: Let a be 9\/(-2)*10\/15*-1. What is the units digit of a\/((-3)\/2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/27)*k)\/k*k**37)**(1\/2) assuming k is positive.\nAnswer: k**(512\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 15. What is the lowest common multiple of k and ((-4)\/2)\/(-2) + 21?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c + 25. Let m(j) = 6*j + 12. Let d(x) = 4*b(x) - 7*m(x). Let w be d(-6). Solve w*g + 15 = s, -2*g - 15 = -5*s + 3*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*m - 2*o - 24, 5*m - 2*o = 138. Calculate the remainder when m is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(-46) assuming v is positive.\nAnswer: v**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d - 2*d - 3*d. Let p(m) = -245 + 245 - 2*m**2. Determine p(x(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -844*i + 2806. Let w(x) = -834*x + 2807. Let a(n) = 2*r(n) - 3*w(n). Differentiate a(f) wrt f.\nAnswer: 814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3836993?\nAnswer: 19, 201947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 211830 and -0.1?\nAnswer: -21183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142 and 781.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 858\/(-30) + 2\/(-5). Let a = p + 28. Does 2\/21 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 + 1038178.\nAnswer: 1038178.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -133*p + 7886. Is n(59) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*z - 205, -3*z = -p - 2*z + 41. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b5 (base 13) to base 12.\nAnswer: a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -349*i**7\/35 - 4*i**4 - 2*i**3 - 4*i**2 + 4*i - 55. What is the second derivative of n(l) wrt l?\nAnswer: -25128*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214902351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 32\/(-3). Suppose 4*a = -i + 96, -a + 14 = 224*i - 225*i. Calculate the greatest common divisor of a and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -287336270 to the nearest 100000.\nAnswer: -287300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156660892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0*c - 2 - 1 - c. Let g(j) = 15*j - 10. Let y be g(2). Let h = y - 14. Determine x(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -641, -1, -4, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.2, -1, -4, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1 + (-4)\/6). Suppose -3*v - 2*v - 2*g = -15, -2*v + g = t. Let f(o) be the third derivative of -o**4\/12 - 13*o**2. Give f(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82\/15 + 3494\/(-5241)\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 3*n + 9. Calculate u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*r - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41731 + -41724. Solve 59*h = b*h - 312 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -21294, 2\/3, 0.4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15982939*v*y**3 - 34*y**3 - y - 23674 wrt v?\nAnswer: 15982939*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.9 + 35. Let v = f + -0.099982. Round v to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n - 279 + 79. Calculate the smallest common multiple of 3 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91\/4 - -23. What is the smallest value in 7, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-4032)\/210)\/(-3))?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 27*q - 239. Let b be x(-10). Let f = -372 - b. What is the remainder when f is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-472))\/(2\/(-103954)). Let r = -881 - h. Let g = r - 527\/118. Which is smaller: -4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 25 + -39 - (6 - -2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594851167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r + g, -r = -3*g - 2*g - 15. Let z(m) = m**2 - m + r*m - m. Suppose 0 = -175*k + 197 - 22. Calculate z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 5*r + 4*t, -r - 255 = 4*r - 5*t. Let v = 93 + r. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 97?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/30 + r**4\/8 - 7*r**3\/6 - 3*r**2. Let b be i(-5). Calculate the greatest common divisor of b and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 2. Suppose -11 = i - 4*o, 24 = i + 3*i + o. Let l be n(i). Let k = 1 + 0. What is the nearest to k in -2\/5, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*s - 5, 0 = 2*u - 5*s + 10*s - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -64*v**5\/5 + 96*v**4\/5 + 988*v**3\/5 + 772*v**2\/5 - 576*v\/5 + 16 = 0.\nAnswer: -2, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/534 and -34\/2581.\nAnswer: 15486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (30 - 14 - 31).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351 - 209. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14065.7 + -14066. Which is the closest to 1? (a) o (b) 6\/7 (c) 13 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216698466 to the power of 1\/2, to the nearest integer?\nAnswer: 34881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 11734518167.\nAnswer: 11734518167.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*o + 4, g + o - 1 = -0. Put 3, g, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9300 and 93372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4942508.\nAnswer: 2, 19, 65033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3 - 0) + -14)*-3. Suppose k + 5*c = a, 0 = 2*k + 8*c - 4*c - 108. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -2, -5, 769, -14, 5 in descending order.\nAnswer: 769, 5, -1, -2, -5, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686, -1377, -2068, -2759, -3450, -4141?\nAnswer: -4832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.05 - -0.05. Let l be (2\/(-4))\/(-1*1). Which is the closest to u? (a) l (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107.35*-0.1895\nAnswer: 20.342825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2878.685 + -2879. Which is bigger: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-2)*(-3 + (-5941)\/(-39)) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 414 and 34650?\nAnswer: 796950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59892 and 81468.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0194220037 rounded to four dps?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144975780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1690924.\nAnswer: -3381848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from rzzzzzrzuzrrr.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1121784993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -804\/5*j + 156\/5*j**3 + 174\/5*j**2 + 477\/5 - 3\/5*j**4 = 0?\nAnswer: -3, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 v, and 1 x when four letters picked without replacement from {v: 1, b: 3, x: 7, r: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*n = -0*t + 527, 655 = 5*t + 3*n. What is the lowest common multiple of 16 and t?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1330, 2477, 3706, 5029, 6458?\nAnswer: 8005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4236 is divided by 805.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649598?\nAnswer: 2, 324799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:38 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -8. Let n be 1089\/(-36) - p\/4. Calculate the common denominator of 13\/8 and (22\/n)\/(16\/(-520)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/((-15)\/40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 smaller than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781.935 milligrams in kilograms?\nAnswer: 0.001781935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 2:53 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18100, -18032, -17958, -17872, -17768?\n\"Answer: u**3 - 3*u**2 + 70*u - 18168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10197 = 313*v - 3311 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 57*v + 6. Let t(d) = -38*d - 4. Determine 5*q(u) + 8*t(u).\nAnswer: -19*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 3*r + 0*r + 3*r - 2*r - 2*r + (1 - 1 + 2)*(0*r + 4*r - 2*r) - 75 + 75 + 38*r to the form o*r + w and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -42. Let w be b\/(-4) + 1235199980\/(-80). What is w rounded to the nearest one hundred thousand?\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 18*j**2 - 11*j + 39. What is w(-17)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 3301*z - 3298*z - 7*z**3 + 6599*z.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -37.0046.\nAnswer: -37.0546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (4\/6)\/((-3)\/(-117))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -239000 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*i + 13. Let v = 9 + i. Let q(r) = -r**2 - 5*r + 2. Let m be q(-5). Solve m*c = -c - v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 10*k + 1. Determine t(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 5*d - 14. Let q(b) = -2*b. Let z(j) = -4*q(j) - y(j). Factor z(g).\nAnswer: -(g - 14)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2446 = 4*p, 0*r - 2*r = 2. What is the third derivative of -18*q**2 - 612*q + p*q + 9*q**6 wrt q?\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*t + 681, 5*l - 6*t = -2*t + 1180. Calculate the highest common factor of l and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3)*q)\/(q**0*q))**(-8\/9))**(-5\/2) assuming q is positive.\nAnswer: q**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 74512.\nAnswer: 596096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2 + sqrt(153) - sqrt(85)\/(sqrt(25)\/sqrt(5)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1539) + (sqrt(76)*5 - sqrt(76))**2 - (-1 + sqrt(228)\/(sqrt(24)\/sqrt(2)) + -4)**2.\nAnswer: 37*sqrt(19) + 1172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607731 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**9*z*z**(7\/6)\/z)**41 assuming z is positive.\nAnswer: z**(2747\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*10\/1155*-3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v**(-1\/5))\/(v**(-6)\/v*v**1\/v) assuming v is positive.\nAnswer: v**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:11 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4348.894 to the nearest integer.\nAnswer: -4349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9.1 + 5093.27141488\nAnswer: 5084.17141488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 9 + 18)*(-a - a + 3*a)*(2*a - 2*a**2 - 2*a).\nAnswer: -62*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 1, h: 1, x: 1, r: 3}. What is prob of sequence rqp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*y - 28 = 92*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 9\/6)\/((-3)\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88.96 - 92. Let k = 0.04 + s. Let o be -1*1 + (-2)\/(-6). Which is the nearest to o? (a) k (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -22?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - (6 + -7)\/1\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2) + 2 + -2. Factor d**t - d**2 - 2*d + 2*d**2.\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 73, -5, 5 in descending order.\nAnswer: 73, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46925\/4 + -11732. Put k, -0.2, -3\/2, -0.1 in descending order.\nAnswer: -0.1, -0.2, k, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(10)\/(sqrt(2) - sqrt(18)\/(sqrt(9)*-3 + sqrt(9))).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1157 + -762. Suppose 3*s - o - f = 0, 2*s - 2*o - 245 - 21 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2+232553\nAnswer: 232550.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 z when three letters picked without replacement from bxzpzpg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 404967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.265195 milliseconds in hours?\nAnswer: 0.0000222958875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 64. Let v(s) = 5*s + 207. Let j be v(-41). Solve i = 7*y - 3*y + 4*p, -4*y + j*p = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(1 - -4) + (-651)\/42 + 13.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtdxbyx. Give prob of sequence yt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10663.31 - -10708. Let v = -45 + k. Let t = v - -0.3176. What is t rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -91. Let w = -27 + z. What is the remainder when (0 - -1) + 30 + 0 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 965 - -30890. What is o rounded to the nearest one hundred?\nAnswer: 31900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*p + 40*p - 428 - 19*p + 433 + 335*p**2 wrt p.\nAnswer: 670*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, z: 8, v: 1, b: 2, r: 1}. Give prob of picking 1 i and 1 z.\nAnswer: 56\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s - 21 = 0. Suppose -s*w = -2*w + w. Do 1\/3 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3672 and 38352?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 0*y + 3*y)*(2 + 0 - 4)*(2 + 1 + 86*y - 70*y) to d*y**2 + z*y + i and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29, -32, -35, -38, -41?\n\"Answer: -3*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 = -2*z - d, 3*z + 5*d = -0*z + 627. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-296)\/(-8))*258\/(860\/20).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1838660.7272496342264 - -11.6382496092264. Let k = r - -1838649. Let q = k + 0.089. What is q rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -171, -16, -1\/7, 0.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 3*s + 606 - 653, -2*s + 22 = 4*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 231\/65 and 4277 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rur when three letters picked without replacement from bruur.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 0*z**3 + z**3 + z**3 + 0*z + 0*z + (-5 + 3 + 3)*(5*z**3 + 4*z**3 - 6*z**3))*(2*z - z + 2*z - 2).\nAnswer: 9*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -24 (c) 6\/115 (d) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 17. Which is the second smallest value? (a) -1\/3 (b) i (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*z + 290*z = -15. Suppose -9*v + z*v = 3076800. What is v rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*g**2*x + 120*c + 110*g**2 - 118393*g*x wrt x?\nAnswer: -2*c*g**2 - 118393*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -9 + (-5 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:24 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 603 - 9631\/16. Let z = 219\/80 + o. What is the common denominator of z and ((-1)\/(-50))\/(14\/805)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*b + 254 = -1018. Let r(u) = 2*u**2 - 6*u - 9. What is the remainder when r(-8) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -79, -169, -295?\n\"Answer: -18*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1 - 3*l**2 + l - 2*l**3 + 0*l**3 + l**3 + 4. What is the remainder when c(-4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1241917, -2484022, -3726127, -4968232, -6210337?\nAnswer: -7452442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254 - 184. Let n = -103 + 67. Let s = -12 - n. What is the remainder when q is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 + 0*q**4 - q**4 + (4*q**2 + 3*q**2 - 5*q**2)*(-q**2 + 0*q + 0*q) + (-q + q - 2*q)*(48*q**3 - 88*q**3 + 19*q**3).\nAnswer: 43*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*s - 1383 = 0, 5*s = 2*s - 9. Let g = j - 274. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-64)*44 + (-25)\/(-5)*2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -114*g - 166. Let s(n) = 113*n + 167. Let f(m) = -4*l(m) - 5*s(m). What is the derivative of f(j) wrt j?\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.06 + 0.06. Let h = 0.1523 - 0.2023. Is k smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 14. Let h be ((-4)\/(-6))\/(38\/6213). Let l(g) = h + 103 - 318 + 5*g + 104. Let n(p) = 6*p - 2. Give i*n(k) - 5*l(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.067099677 - -0.0671. What is p rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 2*(-4)\/4. Suppose 0 = -0*y + 3*y + 5*c - 84, -v*c - 147 = -4*y. Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1864.7 - 1905.1. Which is smaller: g or -4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20436571*j - 1886 = 20436594*j for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 2*l)*(-l + 2*l + l) - l**2 + 5*l + 15 - 6 - 3*l.\nAnswer: l**2 + 2*l + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) - ((sqrt(720)*-3)**2 + sqrt(720) + 5).\nAnswer: -6485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 102. Let a be v(-14). Let l(s) = -9*s - 33. Let p be l(a). Calculate the greatest common divisor of p and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(10\/3)))**(-18)\/(h\/(h\/(h*h\/((h*h\/h**(5\/3))\/h))))**37 assuming h is positive.\nAnswer: h**(-476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*x**2 + 54*x - x**4 + 2*x**4 - 23*x as t*x**2 + m*x**4 + a + o*x + b*x**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 832 and -3348172.\nAnswer: -3347340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoonsoqqjnvoonovv. What is prob of picking 1 v and 1 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-37 - -26 - 25)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 take away -296?\nAnswer: 295.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttddddddttdt. What is prob of sequence dtdd?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -591*g**3 - 15*g**2 - 19*g + 4. Let v(l) = -1774*l**3 - 43*l**2 - 58*l + 14. Let h(j) = 2*v(j) - 7*z(j). Find the third derivative of h(c) wrt c.\nAnswer: 3534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -9*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 84*b - 32. Let r be v(23). Calculate the greatest common divisor of 988 and r.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + d + 5*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342.\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (27 - 13) - (-30 + 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73 and -2333.2.\nAnswer: 170323.6","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate (-5)\/(6*(-10)\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 15*m**2 + 14*m + 12. Let x be f(-14). Let o be 2\/(39\/x - 3). Suppose -r + o = 3. Solve 1 - r = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/4 - 12*t - 23 = 0. Calculate t.\nAnswer: -46, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, b: 8, z: 1}. What is prob of sequence mm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 + 73834?\nAnswer: 73740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**4\/8 - 10*w**3\/3 - 18*w**2. Let t be k(8). Let n(p) = 1 - 3*p + t + 3 - 13. Give n(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 1, r: 2, o: 1}. Give prob of sequence lb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 23*l**2 - 119*l + 1444. Calculate u(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9150793 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14*(-3)\/(-168))\/((-1)\/(-8)). Let a(w) = w - 7. Let y be a(12). Put l, y, 25 in decreasing order.\nAnswer: 25, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 - -72. Let t = y + 68. Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 - 34*a**2 - 186*a - 270.\nAnswer: -2*(a + 3)**2*(a + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -120*v**3 + v**2 + 56*v + 55. Let y be j(-1). Let z be (-2)\/((-4)\/10)*3. What is the greatest common factor of z and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*x = 178*x - 371*x + 3378 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*n = 9, 3*l + n - 9 + 1 = 0. Suppose -m + l*w = -3, -5*m + 84*w - 89*w = -15. Solve -2*f + 2 = 2*a - 0*f, 0 = -a + m*f + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 2*-3*(0 + -1 + sqrt(684)))*1*-2.\nAnswer: -360*sqrt(19) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 19*c**6\/120 - c**5\/60 + c**4\/24 + c**3\/6 + 2*c**2 + 9. Determine b(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 + 61. Is 26874*(-6)\/c + (-48)\/88 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x - 1. Suppose -1 = -6*r + 7*r. Let k be q(r). Let o(j) = -10*j. Let v(y) = -4 + 10 - 2*y - 6. Calculate k*o(g) - 16*v(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 10:39 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 72. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51298899.59 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140679 and -5.62?\nAnswer: -790615.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918*i = 3107*i + 1752*i - 323162 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Let f(j) = 6*j - 42*j + 82*j. Give t(f(x)).\nAnswer: 92*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Let z = y - 2.7. Suppose -3*h - 11 = 5*g - h, 13 = -4*g - 3*h. Put -2, g, 5, z in descending order.\nAnswer: 5, z, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55147096 to the power of 1\/2, to the nearest integer?\nAnswer: 7426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -187, -276, -365?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 3*s**2 - 2*s + 3. Let d(p) = 40*p**3 + 25*p**2 - 15*p + 25. Let t(j) = -3*d(j) + 25*m(j). Factor t(u).\nAnswer: 5*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(((-1)\/(-5))\/((-25)\/(-75))). Sort -1\/10, n, -4, 0.297, 2.\nAnswer: -4, -1\/10, 0.297, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 9. Let c be g(-8). Let n(k) be the third derivative of -2\/15*k**6 - 1\/60*k**5 - 2*k**2 + 0*k + 1\/24*k**4 + 1\/6*k**3 + 0. Give n(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 64*x**5 + 241*x - 501*x**5 + 65*x**3 + 2*x**4 - 65*x**3 wrt x.\nAnswer: -8740*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at most 45\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1 - 3)*-23. Let f = -20 + y. Let x(w) = 4*w**2 + w - 1. What is the tens digit of x(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 847 and 5687?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 96*c**3 - c + 1. Let z be q(1). Suppose 5*f - z = 114. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09172 rounded to three decimal places?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) 0.2 (c) 8 (d) -63\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = -4*u, 0 = 2*i + 2*i - 3*u - 18. Suppose -3*l - 2*l = i*h + 19, -l - 1 = 2*h. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/23029509 and -50\/84441533?\nAnswer: 253324599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -531, -1060, -1589, -2118, -2647, -3176?\n\"Answer: -529*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3732.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -6. Let g = -2.7 + -3.3. Let h = g - -6.4. What is the third smallest value in 4, y, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/10*(-185)\/(-592)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21267750*a**5 - 2*a**2 - 58*a - 3013.\nAnswer: 425355000*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:42 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/72 - 5*k**3\/18 - 11*k**2\/12 - k + 18. Find z, given that r(z) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0 - 5\/3*b**3 + 0*b - 10*b**2 + 1\/3*b**4. Let l(p) = -p + 1. Let z(t) = 20*l(t) + 2*x(t). Let j(y) = -3*y. What is j(z(w))?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find y such that 17*y**2 + 7*y**2 - 24 + 3*y**3 + 0*y - 3*y = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1. Let p(l) = 12*l**2 - 4. Determine 4*h(d) - p(d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let d be p(2). Let t = -22 - -2. Let w be 111\/15 + 8\/t. Solve -5*h - 16 - 2 = d*s, -2*h = s + w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, 27, -1\/23, 1?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -153.1 in 1, -2\/19, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**3 + 2*f**2 + 3*f**3 + 8*f**2 + 3 + 15*f**2 - 45*f**2 as t*f + x*f**3 + j + l*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.104506kg to tonnes.\nAnswer: 0.004104506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8. Let n(s) = s**2 - s + 8. Let l(x) = 4*n(x) + 5*z(x). Find f, given that l(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/3*(-112)\/(-56).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**6\/18 + 3*d**5\/5 - 23*d**4\/12 - d**3 + 18*d**2 - 36*d + 135. Factor j(h).\nAnswer: -(h - 3)**3*(h - 2)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y. Let k(p) = 15*p + 2206. Calculate i(k(r)).\nAnswer: 90*r + 13236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - 0.9. Do 2 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 0*j. Let x(t) = t**3 + 2*t**2 - 5*t - 2. Let n be x(-3). Let d(l) = l**3 - 3*l**2 - 3*l. Let o be d(n). Solve j = -h + o*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347790723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.182 + 0.082. Which is greater: -12.9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, i: 1, k: 1, g: 1}. What is prob of sequence ig?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0154*-0.019.\nAnswer: 0.0002926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 444, 779, 1390, 2361, 3776, 5719, 8274?\nAnswer: 11525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9119, 0.1, 26\/213?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -535 - -550. Calculate the greatest common divisor of t and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 719 - 4565\/6. Is -43 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44055 is divided by 657.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*g = -254*g + 353*g + 5607 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/3)\/m)**50)**8)**(3\/5) assuming m is positive.\nAnswer: m**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181676525 to the power of 1\/2, to the nearest integer?\nAnswer: 13479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 85*j. Let h(t) = 2*t + 91434. Give g(h(c)).\nAnswer: 170*c + 7771890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3785208397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 881.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9942234*c**2 - 124*c - 12904 wrt c.\nAnswer: -19884468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 403274 divided by -11861\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200603, -200426, -200249, -200072, -199895, -199718?\nAnswer: -199541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -61 (b) -0.2 (c) 101976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58967707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3))**26)**27 assuming g is positive.\nAnswer: g**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.86 + -0.69. Which is the nearest to -0.1? (a) 0 (b) 0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 510 + -412. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 18*i**2 - 18*i - 73. Give d(-8).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4, -2*q + 4*u + 73 = -27. Suppose -4*l + q = -0*p + 2*p, 3*l - 2*p = 25. Solve 0*t - l = -3*t - n, 2*t = -3*n + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 576 by 144.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 454*n**2\/5 + 538448*n\/5 + 4744\/5 = 0.\nAnswer: -1186, -2\/227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -95, -156, -225?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*x**2 + 3*x**3 + 4*x + 168*x**2 + 3*x**3 = 0. Calculate x.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12854 - -12345. Sort -0.5, l, -1\/4, -4, 0.5 in decreasing order.\nAnswer: 0.5, -1\/4, -0.5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3992, -15746, -35336, -62762, -98024?\nAnswer: -141122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2673 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -1\/6, -129, 3, -2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*g**2 - 35*g**2 + g**3 - 33*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, -2\/11, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j + 5. Let o = 59 + -63. Determine y(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57596.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*y**3 - 53*y + 130*y - 74*y)*((-4 - 3 + 6)*(-y - y - y) - 2*y + 4*y + y) in the form l*y**3 + f + c*y + r*y**4 + q*y**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -u - 24, -3*u - 3*m - 52 = m. Let n be u\/10*50\/(-15). Let c = 2 - n. What is the nearest to 0.1 in c, -1\/4, -4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.212363545 and 77.432.\nAnswer: 84.644363545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9. Let k(w) = 9*w**2 + w. Let l(b) = -14*b**2 - 2*b. Let g(f) = 8*k(f) + 5*l(f). Let s be g(2). What is the nearest to 1 in h, s, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) -1.42 (d) 0.4 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -143911.4176 to the nearest 1000.\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 4 - (5 - 17) - 6 - -16\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5817402 divided by 237?\nAnswer: 24546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6465)\/27153)\/(2*(-1)\/(-14)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 - 7 = 0, -153 = -5*a + x. Suppose -3*g + 50 = -8*g. Let j = g + a. Solve 0 = 5*z - z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.67 and 13?\nAnswer: 21.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5748 - 3424. Suppose -156*s + j = -152*s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -785, -2949, -6573, -11675, -18273, -26385, -36029?\n\"Answer: -3*y**3 - 712*y**2 - 7*y - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 56. Suppose -3*u + 3340 = p*r, 5*u - r - 5577 = r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 157, 152, 143, 130?\n\"Answer: -2*a**2 + a + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13)*-1 + -5 - ((-1 + sqrt(13))*-2)**2).\nAnswer: -58 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -572*h + 465*h + 128*h - 1890 for h.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaatojj. Give prob of picking 1 j and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 11) to base 6.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 46*o - 33. Let w(d) = 46*d. Give w(z(r)).\nAnswer: 2116*r - 1518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209522874 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 12. Let k be y(-12). Let h(i) be the third derivative of i**6\/120 + 2*i**3\/3 + 783*i**2. Calculate h(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4\/13))**10 assuming u is positive.\nAnswer: u**(170\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17075.\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 318881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let t = -340.7 + 124.7. Let m = t + 216.03. What is the nearest to -2\/7 in m, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.369625 rounded to three decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m - 2. Let s(x) = x**2 - 4*x + 1. Let t be s(3). Let l be q(t). Suppose g - l = -g. Solve 19 = -g*a - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(-30\/13)\/(v**(-2\/15)\/(v**(-1\/6)*v*v)) assuming v is positive.\nAnswer: v**(1217\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*l + 1, 2*l = 5*v - 37. Let z = v + -9. What is the second derivative of i + 4*i + z*i + i**3 + 2*i**3 wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1086 = -4*r + 86. Calculate the remainder when r is divided by 44.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -176, -259, -338, -413, -484, -551?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-260)\/585 - (3 + (-333908)\/18) a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (99 + 1)*(-10)\/8. Let x(u) = -68*u**2 - 423*u - 543. Let w be x(-5). Do p and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(0 + 4 - 25)*(-4 + 1 - 1)*(z - 5*z - z).\nAnswer: -420*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 156 = 2*m, -5*m + m = 3*j - 138. Put 3, -3, j, -0.2 in increasing order.\nAnswer: -3, -0.2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**2 - 51*b**2 + 17*b**2 + 16*b**2 - 3*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*f = -342*f - 30 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1024 = 3*p, 0 = 3*p + 2*p + 2*q - 1702. Suppose 425 = 5*s - 2*f, 0 = -4*s + 2*f + 3*f + p. What is the remainder when s is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*w - 5*q + 12, 0 = -3*w - 4*q + 56. Let d be (-12)\/3*(-1)\/w. What is the closest to 1 in d, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*14\/(-35)*85\/306?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**3 - 2*t**2 - 5*t + 1. Give p(3).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - s - s = 14, 5*x + 5*s - 10 = 0. Suppose -21 = -5*a - x*w + w, w - 9 = -2*a. Suppose -16*o**a + 10*o**2 - 7*o**2 + 11*o**3 + 7*o**2 = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1300)\/(-220)*(368 - 357).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(2*w + 2*w - 6*w) - 2 + 2 + 2*w + (0*w - 2*w + 4*w)*(1 - 5 + 2).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 314 = -2*t, m + 2*t - 86 = -0*m. Let l = m - 30. 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 r = -307 + 306. Let z be (-4)\/18 + (-38)\/(-90). What is the closest to r in z, 1.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141\/(-815)*(6\/(-14))\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -55404, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {t: 1, e: 1, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-22))\/(772\/4246)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 6354064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315474585.\nAnswer: 5, 107, 2458831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 7*w - 38)*(w + 3*w - 3*w) + w**2 + 0 + 0 + (-1 + w + 1)*(-2*w + 3*w - 2*w) - 4 + 4 - w**2 + 2*w**2 - 2 + 2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2. Suppose 16 = -2*c - 4*y, c - 2*y = 2*y + 22. Let w(a) = -c + 2 + a**2 + a**2. What is t(w(r))?\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11c632 + 5?\nAnswer: 11c637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1 + 144*t - 72*t + t**2 - 73*t. Let a(s) = -5*s**2 + 25*s + 27. Let y(u) = a(u) + 3*g(u). Solve y(j) = 0 for j.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30952 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -535303661?\nAnswer: -535303665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Let o = -8.8 + 9. Let z = 6\/7 - 31\/28. What is the nearest to o in z, -0.4, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:57 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 45. Suppose 22*z - 62 = 26. Solve z*g = 3 - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 682 - 679. Solve 0 = -3*g + 2*w + 16, w - t*w - 6 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 14. Is 7 a factor of g - -1*(-50)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oeeeooell.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*b = -11, 2*b = -3*t + 7 - 25. Let w be ((-8)\/(-22))\/(t\/6). Is w less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from llbdbylldylyxlxxol?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.3. Let h = -14.8 + 14.6. Which is the third smallest value? (a) m (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h - 5. Let o be m(7). Let n = -65 + o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7 = t, 5*v - 3*t - 19 = -4*t. Suppose -v = -6*k + 5*k. Which is the third biggest value? (a) -2\/13 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13539357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068184794 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102390?\nAnswer: 2, 3, 5, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 195993664, 195993665, 195993666, 195993667, 195993668, 195993669?\n\"Answer: t + 195993663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(-2*sqrt(1872) + 5)*-3.\nAnswer: -216*sqrt(13) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 28*p + 15495. Let l(k) = 39*k + 23247. Give -7*g(v) + 5*l(v).\nAnswer: -v + 7770","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2540357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 10.9031?\nAnswer: -10.9031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1124*f - 1163*f = -39. Is -76 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -4 - -11) + (87 - 160)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 23 = 5*s, 69*c + 13 = s + 74*c. Solve 2*l = -0*l - 3*q - 25, s*q + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.278747 - -17.291. Let f = -2.012353 + h. Let v = f + 2. Round v to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -304 - -292. Let g(v) = v - 3. Let w(r) = -r - 1. What is y*w(i) + 4*g(i)?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 + 0*t**3 - 6*t**3)*(-12 + 22 + 2) - 3*t**2 + 3*t**2 - 2*t**3 - t**2 + 2*t**3 + t**2.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 plus 246077?\nAnswer: 246095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 1315.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31252 + 31252. Which is bigger: -17\/42 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1 - 5 + 8 + 2*p. Calculate o(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -40*l**2 + 167*l - 79. Let w(k) = 7*k**2 - 29*k + 13. Let n(u) = 6*a(u) + 34*w(u). Factor n(x).\nAnswer: -2*(x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1701629630 and 3?\nAnswer: 1701629633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (-1 + 15) - 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -3692350.\nAnswer: -3692349.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 259*v**3 + 194*v**3 - 349*v**3 + (v + 3*v - 5*v)*(-v**2 + 4*v**2 - 4*v**2).\nAnswer: 105*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/120 and 9\/716.\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -233 - -5?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6838320 divided by -10.\nAnswer: 683832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:45 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147642 - 5?\nAnswer: 147635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144951*i**3 + 2*i**2 - 7*i - 342675 wrt i?\nAnswer: 434853*i**2 + 4*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 8. Suppose -4*t - v + 81 = 0, -61 = -4*t + v + n*v. Suppose 5*u - 4*u - t = 0. What is the highest common divisor of u and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7444 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7633906 divided by 14\nAnswer: -545279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.57 + 4.57. What is the nearest to 0 in 0.03, f, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9668\/40811 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 h, and 1 i when four letters picked without replacement from {s: 9, h: 1, i: 10}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52502291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -2*y**3\/3 + 3*y**2 - 11. Give b(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 235*b - 9107. Give j(-49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 154 = -5*f - 4*u, 0 = u + 4. Let d = f + -20. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than -67?\nAnswer: -68.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millisecond in microseconds?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/((-470)\/(-120))*1\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 7:53 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 m when four letters picked without replacement from {c: 9, m: 5}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 5*n**3 + 4*n**3)*(2*n - n + 0*n) + n**4 - 5*n**2 + 5*n**2 + (2*n + 0*n - 3*n)*(-2*n**3 - 4*n**3 - 2*n**3).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.87 - 15. Let h = 0.17 - i. What is the second biggest value in h, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h - p + 176, -5*h + 220 = -4*p. Let i = -40 + h. Suppose -i = -3*r + 8. Solve f - 5 = -r*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 q, and 1 u when four letters picked without replacement from {b: 7, u: 2, c: 1, i: 4, q: 4}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/116298 and -121\/252498.\nAnswer: 4894168734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-119) - 23\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -272, 2, -3\/7, -0.2, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 23*t - 60 = 0. Do t and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 567*n**2 + 7998*n - 29232 = 0. What is n?\nAnswer: 7, 8, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134601 + 224?\nAnswer: -134344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30200760 and 2376?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 44 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*n + y, 3 = -2*n + 3*n - 2*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = -6*t. Let q = 5 - t. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/660 and -41\/4620.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.3 + 31. Let v = c - 3.7. Sort -1\/5, v, -1\/7 in ascending order.\nAnswer: v, -1\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(8\/3))**(-29) assuming x is positive.\nAnswer: x**(-464\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 5, -9482, -23, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4148113 to the nearest integer?\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 19*a - 112. List the prime factors of (-2)\/((-5)\/(27320\/a)).\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (2 + (-807)\/(-3) + -1). Let o = -135 - b. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0)\/(3 - 1). Let c = -268 + 271. Let n = -138\/221 - -8\/17. What is the closest to r in 4, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 368, -5 in decreasing order.\nAnswer: 368, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 309, 418, 461, 414, 253, -46?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.01279\nAnswer: -0.01279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/60 + 674\/10. Suppose -2*s + b = 53. Suppose -s*u + 93 = -82. Solve 5*w - u = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/405 and -47\/185.\nAnswer: 14985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -3 - 1\/2*l**3 + 13*l + 5*l**2. Calculate c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l + 87 = -67 - 77 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162725 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 2*z + 7. Let x(r) = -r**2 - 7*r. Let d be x(-5). Let q = 15 - d. Is c(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 8 + (3 + 26 - 21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 10 = -5*d, -d - 4*u - 21 - 1 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2499*v - 4926*v + 2428*v - 6890 to the form s*v + i and give i.\nAnswer: -6890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.3. Let g be (-1)\/(14\/138) + (-4)\/28. Let x be 5\/(-30)*g - (0 - -2). What is the third smallest value in x, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907424?\nAnswer: 2, 3, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 2. Put 5, -3, i in increasing order.\nAnswer: -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2200) + (2*sqrt(2200) + sqrt(2200) - sqrt(2200) - sqrt(2200)) + sqrt(198)*-6)\/((sqrt(16) + sqrt(32)\/sqrt(2)*-3)\/(sqrt(80)\/(sqrt(40)\/sqrt(4)))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 divided by -77680?\nAnswer: 321\/77680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3534 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 4. What is the remainder when -1 - 1 - 72\/(-9) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1511683.39452571 and -9.\nAnswer: -1511692.39452571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 55. Solve -g - u*g = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlk when three letters picked without replacement from vlllrlvoogkv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 - 34709856*n = 0?\nAnswer: 0, 11569952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 26409.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 4*k + 11*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 1. Let d be g(-1). Let h(r) be the second derivative of r**3\/3 - r**2 + 16*r. What is the units digit of h(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167 - 155.69. What is k rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -4, -292, 29\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, -3, 0.1, 7 in descending order.\nAnswer: 7, 4\/15, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 100.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - n + 2)*(-2 - 6 + 3)*((-6 + 3 + 2)*(1 - 1 + 1) - 5 - 8 + 0).\nAnswer: -70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 12:32 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -341\/4 and 133 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-350)*2\/1. Which is the closest to -12? (a) v (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:28 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(1 + (1 + -3*(sqrt(1300) + 5)*5)*-3))**2.\nAnswer: -482801220 - 36126000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7808 or -179556\/23?\nAnswer: -7808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 0)*10\/(-20). Let z be (12\/(-20))\/(d\/(-5)). Calculate the highest common factor of z and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146824 is divided by 165?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmr when three letters picked without replacement from rmmmrnnrnmmrm.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8718 and 8479708.\nAnswer: 2906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 13*q - 10. Solve -3*x + 5 = -q*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 337870*u**4 - 375185 wrt u?\nAnswer: 1351480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064658281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12617*n**2 - 6255*n**2 - 6213*n**2.\nAnswer: 149*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 2*c)*((0*c - 3*c + 2*c)*(0 + 0 - 1) + 3*c - 2*c + c + 2 - c - 2).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -38.6, -2, 5, 151\/11, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v + 8*v - 93 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1335 - -3?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 95 = 5*g, -9*g = -12*g + g + 40 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357494 is divided by 5033.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 6*g - 10*g. Calculate the greatest common factor of g and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*w**2\/9 + 13420*w\/9 - 52688\/9.\nAnswer: -2*(w - 4)*(31*w - 6586)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 99*k**2 - 84*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 j when three letters picked without replacement from {j: 8, z: 3, i: 5}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from bfjeuun?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-33)*y**(4\/11))\/(y*((y\/y**27*y*y)\/y)\/y*y*y*(y\/y**(1\/28))\/y*y*y) assuming y is positive.\nAnswer: y**(-3265\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let h be (-5 + r)*(-1 + -1). Factor -3*a**2 + 4 + h*a + 5*a**2 - a**2.\nAnswer: (a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.148 + -66.148. Let w = s + 63. Let m = -4082\/15 - -272. Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003007 rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -9*j**2 - 13\/6*j**3 + 0 + 12*j. What is the tens digit of i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 884c - -2?\nAnswer: 8851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u. Suppose 25 = -2*o + 5*v, -20 = 3*o - 8*o - 4*v. Solve u*s**3 + 2\/3*s**4 - 4\/3*s**2 + 2\/3 + o*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -327 - -327.9. Suppose 0 = f + 2*i + 4, -2*f = i - 5*i + 8. Which is the second smallest value? (a) g (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 - (-5 + -2))\/(1 - 13\/15). What is the third smallest value in 0, -5\/4, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 1, v: 1, n: 2, s: 3}. Give prob of picking 1 n, 2 v, and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 1459.12.\nAnswer: 87.5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708000 = 5508*k - 302*k - 381*k + 2550*k for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100159 and 44363.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3917 + 3917 - 96*y**4)*(-6 - 3 + 14*y + 0 + 1).\nAnswer: -1344*y**5 + 768*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/5? (a) -0.1 (b) 13 (c) 5863 (d) -1\/3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96027.134 + 96139. Let m = 112 - a. Let l = -0.1339679 + m. What is l rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + u)*(-1 + 0 + 3) + 2*u + u - u + (2*u - 3*u + 3*u)*(0 + 3 - 1).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 15*p**2 - 2*p + 2. Let z be a(-15). Suppose l + l = z. Is -3 + 2580\/l - 6\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - 3 - ((86 - 153) + -53)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-15)*(-4)\/44.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/22 + -1 - (-344)\/(-44). Let u(g) = -g - 3 + g**2 + g + 7*g. Let x be u(k). Put -3, x, 3 in decreasing order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27990810 and 1.52.\nAnswer: 27990811.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y = 121*y + 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4677 divided by -5\nAnswer: 4677\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8.559, -13\/2, 4\/7, 1, 4, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -29*b**2 + 23*b. Let g(r) = -5*r - 17. Determine g(a(w)).\nAnswer: 145*w**2 - 115*w - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 13911212?\nAnswer: 27822424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2\/3, -2\/87, -1.5, 3\/4, 2\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 5 - 2 - 1. Let v(c) = -4*c + 2. Let z be v(1). Let r = z + s. Solve 7*p - 12 = 4*p + o, 9 = p - r*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6578?\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-32)\/(-64)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369.91 rounded to the nearest ten?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5849 = x - 2902 - 2927, 4*x = -5*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2635*-7.\nAnswer: -8.8445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1216 - 1012. Suppose -4*r - 3*y = 2*y + 19, 7 = -r + y. Let h be (-4)\/r*d\/8. Solve 5*b - i + 6 = h, -i = 3*b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0667 + 1.9333. Sort h, 5, -14\/3 in descending order.\nAnswer: 5, h, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 4588?\nAnswer: 4585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 7. Let v(a) = a**2 - 2*a - 1. Let u be v(0). Let h be n(u). Let c(i) = -i**3 - 3*i**2 - 4*i - 7. Is c(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -131. Calculate the common denominator of 118\/54 + p + 2 and 67\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 82*x - 87*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 41*g - 46. List the prime factors of l(-29).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + 0 + sqrt(245))*-2 + -3 + 2)**2.\nAnswer: 56*sqrt(5) + 3921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137*s**3 - 229 - 123*s**3 + 304*s + 206*s**2 + 125.\nAnswer: 2*(s + 2)*(s + 13)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -237359?\nAnswer: -10\/237359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyvvevevvee. What is prob of picking 2 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -70*s. Let i(m) = -15*m. What is i(h(v))?\nAnswer: 1050*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13*y**3 - y**2 - 17*y - 108. Calculate the smallest common multiple of u(-4) and 485.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 - -0.1. Let r = 0 + u. Which is the closest to -1? (a) 0.2 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1 + 1, -2*w + 91 = 3*g. Suppose -g = -5*r + 9. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190 - 201) + (0 - -2) + 12 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 4:43 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f - 52*f - 71*f - 58*f - f**2.\nAnswer: -f**2 - 165*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 14 - (-1 - (-1 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1043, 3, 8 in descending order.\nAnswer: 8, 3, -1, -1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 12*n + 10. Let y be m(12). Factor 3*v**2 + v**2 - v**2 + y*v - 16*v.\nAnswer: 3*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1663984 and -71\/220528.\nAnswer: 18303824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1043 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.9 - -8.9. Let t be 12\/45*5\/(-6). Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 4*i - 2. Let u be f(3). Let j be (37\/(-148))\/(5\/(-40)). Which is bigger: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + (15 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - 6*i + 343. Let k(g) = -6*g**2. Give j(k(m)).\nAnswer: 108*m**4 + 36*m**2 + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Suppose b*o - 10*o = 0. Solve 4*n + 2*x = -2, -x + o = n - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 122*a**3 - 121*a**3 + 0*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9048 by 39.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-8 + (0 - 15) + 9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8805 by 24986.\nAnswer: 8805\/24986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 708? (a) 5 (b) 0.5 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:32 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8*i + 15 = -3*i, 4*i = 12. Solve -10*x - 43 + 13 = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 14*w + 1. Give n(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335\/282 - -66737\/6486. Let q = 56\/23 - s. What is the common denominator of -11\/4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - z + 4, -d - 3*z + 4 = -2*z. Suppose 3*k - 90 = -d*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 942 + -360. List the prime factors of i.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 0.736.\nAnswer: 0.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 65*p - 2076. Let y be s(32). Solve y*q - 26 = 3*i, -5*q + 2*q + 3*i = -21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009351 to four decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*l = -j + 84, 5*j + 3*l = 124. Let c = 59 - 62. Let i = 6 + c. Solve x - 5*f + 10*f - j = 0, -i*f = -2*x - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 1792*a + 401120.\nAnswer: 2*(a + 436)*(a + 460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3491*w + 107. Let m be (((-24)\/5)\/3)\/((-2)\/5). Is c(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o - 5\/3*o**3 + 0*o**2 + 1\/4*o**4 + 1. Calculate the remainder when 1 is divided by k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i - 4*x - 20 = 0, 0 = -4*i - 5*x - 26. Let o be (-1)\/i + 14\/8. Factor 7*v**2 - 2*v - 2*v**o - 3*v**2.\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 21*l - 4 + 4.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59, -41, 5, 97, 253?\n\"Answer: 3*k**3 - 4*k**2 + 9*k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8059.502kg?\nAnswer: 8.059502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 9) to base 6.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/5 + 116426*j**3\/5 + 2793456*j**2\/5 + 4469120*j + 59585536\/5 = 0. Calculate j.\nAnswer: -58189, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002685 to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 175672*g**2 + 27404.\nAnswer: 351344*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/15)\/((-2)\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -143 (c) 5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 3*r**2 - 4*r - 1. Give f(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 3*c - 8. Calculate the lowest common multiple of k(5) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j*m*r - 7*j*m + 1447*j*r - 2*j - 68*m*r + 92*m + r - 230 wrt r.\nAnswer: -5*j*m + 1447*j - 68*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:07 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.72143 - -42.93125. Let a = -5.65221 + n. Let z = -92 + a. What is z rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -107, -111, -115?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*q - 4*q**4 - q**3 + 39*q + (7*q - 2*q + 6*q)*(-7*q**3 + 16*q**3 - 5*q**3).\nAnswer: 40*q**4 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15403639 and 0.3?\nAnswer: 4621091.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 606*u + 8048. Give w(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/15 - (200\/(-48) + 6 + 6)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -338*g**3*z**2 - 12*g**3*z - 19*g**2 + 13*g*z**3 - 11*g*z wrt z.\nAnswer: -676*g**3 + 78*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -2) + -202 + 186 + 35 + 2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 1 + 1)*(16*a - 16*a + 13*a**3)*(a + 0*a + a).\nAnswer: 52*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/3 + 4*x**4\/3 - 22*x**3\/3 - 8*x**2 = 0. What is x?\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4148559*l**3 - 140490*l**2 + 2*l - 34.\nAnswer: 24891354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -291 + 285.32. Let z = j + -1.02. Let i = -5.7 - z. Sort -0.5, i, 5, 2\/3.\nAnswer: -0.5, 2\/3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349 - 251 - 6*z**2 - 444*z**3 + 2*z**2 - 321.\nAnswer: -444*z**3 - 4*z**2 - 921","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 129, 306, 575, 948, 1437, 2054?\n\"Answer: 2*r**3 + 28*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwzhzjzjhwjbb. Give prob of picking 1 b, 1 h, and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5, w: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.9918 tonnes in nanograms?\nAnswer: 310991800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j + 2. Let h be p(5). Let y = h + -24. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1159?\nAnswer: 3\/1159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 128.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89714153.\nAnswer: 73, 1228961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -8, 0.649, -2, -6\/7 in increasing order.\nAnswer: -8, -2, -6\/7, 0.649, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qujdajoadauu. Give prob of picking 1 o, 1 u, 1 a, and 1 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - q + 1 = 0, 0*q - 5*q + 10 = 3*c - 6*c - 23 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 14245132247.\nAnswer: -14245132246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 272, -5, -1\/10, 80?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*i = -50, -5*i + 7*i = 0. Suppose a*x = 14*x - 1492. Suppose -496 = -4*m - 2*v, 3*m + 3*v - x = 2*v. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337428 = -25473*f + 16100*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5333\/54692 - -135\/484. Calculate the common denominator of s and -40.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336614.2 nanograms to micrograms.\nAnswer: 336.6142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -560310467 >= -560310467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*f - 2*f + 6*f)*(-5 + 7 + 9) to n*f + o and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/149553 and 17\/33948531.\nAnswer: 33948531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 49 - 2*t - 14.\nAnswer: -2*t + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*k - 2*k + 120 = 4*v, 71*k - 67*k = -16 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620 + -1567. Let p = h + 947. Which is the second smallest value? (a) -4 (b) 7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 2*z**3\/3 - 2*z**2 + 2*z + 2. Let j be l(2). Differentiate 5*w**2 - 4*w**2 - 3 - 5 + j with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 61. Let f be r(18). Let w = f + 149. Calculate the smallest common multiple of w and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 307802 and 1496.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2 - 70*w + 1248 = 0.\nAnswer: -48, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74 + 13?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -190 bigger than 15566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from {b: 1, e: 1, z: 2, d: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -470 - 215. Which is the nearest to -0.6? (a) g (b) 3\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -292, 0.78261?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -63 + (1 - 0) - -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98736926218.99999981 + -98736926760. Let s = g - -541. Round s to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -14*a**2 + 3*a - 23. Let c(f) = -f**3 + 4*f**2 + 31*f - 147. Let g be c(5). Let r(v) = -5*v**2 + v - 8. What is g*r(m) + 6*s(m)?\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02603826 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -12 (b) -1\/2 (c) -22\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.54 and 77.\nAnswer: 73.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 188*i + 0 + 8\/15*i**2 + 7\/45*i**3 - 1\/90*i**4. Factor p(o).\nAnswer: -2*(o - 8)*(o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1614*q - 1624*q + 280. Calculate the smallest common multiple of q and 805.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6241530, -6241520, -6241510, -6241500?\nAnswer: -6241490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 27 + 7 = 0. Is c != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**7\/42 + k**3\/2 + 2*k**2. Differentiate g(l) wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, 1, 37, 85?\n\"Answer: 6*a**2 + 6*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1099446367 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 3. Let j be i(2). Suppose -4 - j = -q. What is the third derivative of 0*n**4 + 0*n**4 + n**2 + 2*n**q wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11155 bigger than 44621\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80250040 a multiple of 1720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10428, 10470, 10512?\nAnswer: 10554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -48. What is the second smallest value in -5, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:13 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7\/6 (b) -2.8 (c) -5 (d) 1\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 7*c - 2*c. Suppose 5*l + 3*r = 840, 3*l + r = -4*r + 488. What is the remainder when c is divided by (-2)\/4 + l\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/240 + -319\/240. What is the third biggest value in z, 0.4, -4, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*v - 5419*v - 2587*v.\nAnswer: -8871*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1211 - 1215. Which is the third biggest value? (a) 2 (b) g (c) 4\/7 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from ppppppppppippppppp.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 9*x = -32. Which is the closest to x? (a) -2\/13 (b) -0.02 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*u**2)*(-3671*u**3 + 12434*u - 12434*u).\nAnswer: -7342*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3486270 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37688.38t?\nAnswer: 37688380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001100110111100001000 (base 2) in base 14?\nAnswer: -c6a66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -609, -913, -1217, -1521, -1825?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/3)*((y*y\/(y*y**(1\/17)*y))\/y*y)\/y)**12 assuming y is positive.\nAnswer: y**(124\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 239, -2, 1, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7163 (base 13) to base 5\nAnswer: -1000004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n - 10*n + 2*n**4 - 4*n**4 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.498358 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*k**2 - 14*k**2 + 3*k**2 as p*k + z + g*k**2 and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1625*w + 100 - 1625*w - 55*w**4 wrt w?\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-688)\/2 - (-19)\/(209\/66). Let x = 355 + a. What is the remainder when 1274 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d - 0. Let p be -3*(-10)\/d + -1. Suppose -5*r = 2*c, -p*r - 5*c - 10 = 7. Solve r*y - 3 = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 2 + 2 + (0 + f + 0)*(2*f + 0*f - f) - f**2 - 2*f**2 + 6*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 26516?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, -1\/3, 7, 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2\/4 + 567*u\/4 = 0.\nAnswer: 0, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, -1\/3, 11\/5, -1\/50 in descending order.\nAnswer: 14, 3, 11\/5, -1\/50, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 7*d**2 + d**2)*(2*d**2 - 5*d**2 + 5*d**2) - 4*d**4 - d**4 - 4*d**4.\nAnswer: -17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 + 3*s - 3. Let a be n(3). Let g = 33 + a. Let m be (-1)\/(48\/(-15) + g). Solve 5*r + z = m*z + 19, 0 = 4*z + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w + 46851 = 0. Suppose w = -5*u - 24649. Round u to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.059 and -439457.\nAnswer: -25927.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m = 119*m - 16549. What is the highest common factor of 208 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 0.9. Let s = 0.006208 - -6.993792. Let a = 37\/20 - 8\/5. What is the nearest to x in a, s, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80653, 80652, 80651, 80650?\nAnswer: 80649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 2*f + 5*f - 1. Let p be 15735\/4196*8\/5. Determine s(p).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 565231546*f + 565231544.\nAnswer: 2*(f - 282615772)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 211730?\nAnswer: 211708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 + 3*y - 3*y - 21*y - y**3.\nAnswer: 5*y**3 - 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150763700 rounded to the nearest one million?\nAnswer: -1151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 1808.\nAnswer: 1807.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1450\/(-1015)*(-2 - 32\/5). Solve 10*h - 16*h = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 4640980825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least 2.361774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292 + 295. Suppose -2\/9*d**r + 0 - 2\/9*d**5 + 4\/9*d**4 + 0*d**2 + 0*d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j**2 + 2*j**2 - 4*j**2)*(1 + 1 - 5 - 2*j).\nAnswer: -18*j**3 - 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - -25) + 13 - -21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6293537?\nAnswer: 193, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -14*s + 320. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c - 70*c - 2 = -5*h, -5*h - 4 = c. Solve 2*f - 5 = n, 2*f - c = -n + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 6. Suppose 5*z - 143*i + 148*i = 0, -4*z - 2 = 3*i. Let a(n) = 8*n - 7. Determine z*a(g) - 3*u(g).\nAnswer: 5*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-307 + 32*o + 307)*(1 + 1 - 4)*(0*o + 2*o - 3*o) in the form a*o + c + r*o**2 and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2057764, 2057769, 2057774, 2057779, 2057784, 2057789?\n\"Answer: 5*y + 2057759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 13 = -4*y, -2*y = 7*n - 5*n + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 405564, 405571, 405578, 405585?\n\"Answer: 7*l + 405557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -5*d. Suppose d = c + c - 24. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = 2*j + 11*j. Put 5, j, 83 in descending order.\nAnswer: 83, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 31*h - 47. Determine f(-28).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -g - 64. Let q(o) = 3*o**2 + 7. Let u(y) = -2*y + 7. Let j(n) = n**2 + n - 1. Let b(r) = 2*j(r) + u(r). Let p = 10 - 5. Determine g*b(h) + p*q(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {s: 5, c: 2, n: 1, b: 3, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*u - 7*u + 358, 4*n + 3*u = 361. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - -57. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + t - 54, -3*n - t - t + 31 = 0. Let y(h) = -h**3 + 10*h**2 + 13*h - 19. Let i be y(n). Solve -4*l - 7 = -i, 0 = s + 4*l + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 2, q: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/22 + 2*h**3\/33 - 66. Let r(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31290 - -2141257. Suppose -3*f + s + 410033 = 0. Suppose -f = 3*t - 0*t. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 648\/20905?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 15*h**2 - 14*h. Let a be v(-14). Let q(d) = d - 1. Give q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 5*o - o + 2*o)*(o + 2*o - 4*o).\nAnswer: 2*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.9 - 6. Let u = 0.1 + x. Suppose h + 6*h = -35. Which is the nearest to u? (a) -2\/5 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.84 + -0.46. Let t = j + 7. Let q = 0.4 + t. What is the closest to 2\/7 in 0, 2\/15, q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 115718, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 444?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -18 + (-37)\/(-4477)*2266. Suppose 0 = -m - 3*m + 8. Is m equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276*r**5 - 256*r?\nAnswer: 5520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 1:46 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13062, -52340, -117812, -209484, -327362?\nAnswer: -471452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -25. Let g be 3 + (-3 - (-2)\/1). Suppose r - 43 = -4*r - g*s, -5*r = 4*s - 51. Solve u + r = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + ((-1*sqrt(19) - sqrt(19))**2 + 4)*-3 + (2 + 1 + sqrt(2299) - 4*(sqrt(304) + -1 + sqrt(304))**2).\nAnswer: -5102 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 348*r + 348*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 143342243?\nAnswer: 143342233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 + 1. Let q(s) be the third derivative of s**6\/24 + s**5\/15 - s**4\/24 - 5*s**3\/6 - 22*s**2 - 1. What is -q(g) - 4*v(g)?\nAnswer: -g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*8*(-1)\/(-144).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2222 and -35\/808.\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-3)\/2 - -2). Let q = -6 - w. Solve -q*g + 2 = -3*y, 4*g = 2*y - 3 - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 0.27\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -788 - -797. What is the remainder when 501 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from iuiicihic.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t = 108. Let r be ((-24)\/t)\/(2\/(-3)). Suppose 2\/3*c**2 + 7\/3*c**3 - 7\/3*c - r = 0. Calculate c.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/179? (a) 7 (b) 0.6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3169, 11.8, 4 in increasing order.\nAnswer: -3169, 0.1, 4, 11.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 3*k**2 - 6*k - 3. Let x(q) = -q**2 + q + 8. Let a be x(4). Let w be o(a). Solve 2*n = -w - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 10*q**2 + 3 in the form c*q + v*q**2 + f and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.18697um in nanometers?\nAnswer: 18186.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -12. Let n be (19\/38)\/(22\/p). What is the nearest to 0.1 in 0.2, n, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/65 - (-4)\/(-26). Suppose h - 2*h + 37 = g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068522893 to the nearest integer?\nAnswer: 32688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c + 133. What is the smallest common multiple of v(-15) and 343?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1275348 and 580.\nAnswer: 581.1275348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 r, and 1 o when three letters picked without replacement from ktrrookrrtrrkrtrtr.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -0.5, -11\/6, 2\/269, -9?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**2)\/c)**(8\/11)\/(c**(1\/2)\/c*c**(-3\/7)))**(7\/4) assuming c is positive.\nAnswer: c**(367\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-580)\/(-12325)*(-1)\/2*1.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -24*b + 3. Let z be n(5). Let j = -80 - z. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:37 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0261275904 to 6 decimal places.\nAnswer: 0.026128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189.7 + 9249106506.\nAnswer: 9249106695.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 23*i - 125. Let g be l(5). Let u(q) = 7*q**2 - 35*q - 23. List the prime factors of u(g).\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:22 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(8\/6). Let c(q) = 9*q + 4. Let r be c(3). Suppose -5*m = 4*g - r, 20 = 4*m + 3*g - g. Sort m, j, -1 in decreasing order.\nAnswer: m, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 58. Suppose 2*d = -3*d + 45. Suppose 0 = -3*i - h + 4, -h - l = 4*i - d*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1016 + 1016. Solve b + b + 5*a = 13, n = 2*b + 2*a - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(sqrt(720) - (1 + sqrt(720))*-4))**2 + -4.\nAnswer: 11520*sqrt(5) + 432380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1740)\/(-165) + 2 - 12.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10274311.\nAnswer: 379, 27109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -5*j**4\/4 + 3*j**2\/2 + 5. Find the second derivative of z(o) wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-6 - 68\/(-12))\/(-13 - (-25 + 7)).\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -1153303000?\nAnswer: 1153303000.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let y = 46 - 24. Let d(c) = y + 0*c**2 - c**2 - 20. Give -d(l) - m(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1*(-3)\/27). Let m be (2\/(-3))\/((-2)\/f). Let k(t) = -6*t - 2. List the prime factors of k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 28*u**2 - 6*u. Let y(q) = -249*q + 19. Give y(g(f)).\nAnswer: -6972*f**2 + 1494*f + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/(-2052)*2\/(-4)*-8. Which is the fourth smallest value? (a) 0.2 (b) t (c) 1\/3 (d) -12 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.08 times 0.087\nAnswer: 0.26796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*i - p, i + 8*p = 5*p + 41. Let n(q) = q**2 - 28*q - 42. Let r be n(i). Let v = -5 - -7. Which is bigger: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1100010001?\nAnswer: 1100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**5\/24 + 21*c**4\/8 - 5*c**3 + 14. Let z(a) be the third derivative of t(a). Does 28 divide z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -9*x + 6*x - 4*g, 12 = 3*x + 3*g. Suppose x - 3 = 12*h. Suppose -2*a + a + 5*r + 7 = 0, -2*a + 3*r + 21 = h. Which is bigger: a or 10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(52)\/(sqrt(32)\/sqrt(8) + sqrt(4)))**2.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -959*c + 3895 - 59 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 0)**2*1.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 - (2\/4)\/((-5)\/(-10)). Let p be (0\/((-5)\/(a\/(-6))))\/2. Solve p = -c - 0*c + 2*g - 9, -23 = -3*c - 4*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -376179 - 191?\nAnswer: -37633a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1404032 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -735 + 1503\/2. Let y = 14 - g. What is the closest to 0.3 in y, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4 + 259*x**3 - 1020*x**2 = 0.\nAnswer: 0, 4, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*y - 24612 + 1579. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*g + 5*t, 6*t = 5*g + 7*t - 78. Calculate the highest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 22*a**2 + 33*a + 9. Let p(c) = -5*c**2 - 8*c - 2. Let w(h) = 9*p(h) + 2*q(h). Calculate w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542, 1081, 1604, 2105, 2578?\nAnswer: 3017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose l = 2*r - 6, -18 = -3*c - 0*c - 3*r. Suppose 2*i + 4 = o, 2 = 2*o - 20*i + 15*i. Put 2, o, c in ascending order.\nAnswer: 2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/120 - 2*b**5\/15 + b**4\/2 - 3*b**3 + 156*b**2. List the prime factors of u(-11).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13782, -27670, -41668, -55776, -69994, -84322?\nAnswer: -98760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2 + u + 12. Let g(m) = -m**3 + 13*m**2 + 9*m - 112. Let i be g(13). Determine k(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/33 + -46\/33. What is the third biggest value in -0.1, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 41412*z**3 - 133907754*z**2 + 62152910316*z - 6757589131947 = 0.\nAnswer: -7113, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*f - 8*f**3 + 36*f - 5*f**2 - 10*f**4 - 73*f + 2 + 4*f**2 - 3*f**2 in the form r*f + d*f**2 + i*f**4 + k + c*f**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 409970000 rounded to the nearest one million?\nAnswer: 410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 10 - 1170*v + 5.\nAnswer: -1170*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*m - 5*f, -m - 3*f + 8 = 19. Let v be (18\/(-8))\/m + 2. Let n = 60 + -59.6. Which is the second smallest value? (a) 5 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. Suppose 0 = -p - t + 2. What is the third smallest value in 0.2, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-17)*p*p\/(p*p*p**(1\/10)*p)*p**(-4\/13)*p**(-1\/26) assuming p is positive.\nAnswer: p**(-1134\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 + 2*a**2 - 3*a**2)*(4*a + 3*a - 5*a) - 4 + 4 - a**3 + 5 to the form d + t*a + m*a**3 + p*a**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -0*n + 3*t - 17, 5*n = t + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 6*z + 10. Let p(l) = l**2 - 3*l + 5. Calculate -2*d(q) + 5*p(q).\nAnswer: q**2 - 3*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7182*t - 7337*t + 930 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255*p + 23 + 40 - 76*p + 79*p + 36*p wrt p.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -7534?\nAnswer: 7534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 - -0.02. What is the third smallest value in j, 4\/3, -2\/15?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/77 and (5 - 24\/4)\/((-63)\/71).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-1125)*3\/12*6\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8) - (-237)\/(-2). Let m = d + 281. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213094 divided by -982\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 2921456*j - 20450388.\nAnswer: 4*(j - 730371)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -95819.187 to the nearest one thousand.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (682389\/(-20))\/(3 + -6). Let z = 11376 - k. What is the common denominator of 109\/18 and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9374 - 3901.\nAnswer: -3901.9374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 4. Let z(b) = b**2 + b - 7. Let r be z(0). Let u = -5 - r. Solve u*h = -h + q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 202.16 + -207. Let g = l - 0.16. Let v = -6 + 6.4. Which is the nearest to 0.1? (a) v (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 642 = 2*j, g + 132 = j - 203. What are the prime factors of j?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, u: 7, d: 5}. What is prob of picking 1 d and 2 u?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 33. Calculate the remainder when -2 + 2 + 128 - 1 is divided by j(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 27 - 10 = 4*b, 2*q + 18 = 5*b. Suppose b*a - 43 = -3. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -1298030?\nAnswer: 1298030.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -1 - 0) + 127 + -126 + 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*q - 294*q - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95100\/99855*((-4)\/(-10))\/(-2)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11046 is divided by 5481.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 7:46 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.082 + -0.082. Sort -27, -2, j in increasing order.\nAnswer: -27, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 2. Does 17 divide t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/14? (a) 1 (b) -32 (c) 2\/17 (d) -6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31869 + 31872. Let z = -1 + 20. Put m, -1, z in increasing order.\nAnswer: -1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)*((-9)\/(-2) + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 3*v**2 - v - 4. Let m be f(-3). Let s be ((-4)\/8)\/((-2)\/12). List the prime factors of (s - (2 - m)) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*c**3 + 269*c**3 - 131*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -24*k - 17. Let y be q(-13). Suppose 29*f + y = 34*f. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.02 (c) 5 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2390553?\nAnswer: 3, 11, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 280.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467832 bigger than 1467834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 0*v**2 - 4*v**2 - 12*v + 23. Let f be j(-13). What is the remainder when -12*(-4 + f\/6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 4*m + 1. Let j be z(-5). Let y(k) = -k**3 - 5*k**2 + 4*k + 3. Let g be y(-3). Let x be (2\/j)\/((-3)\/g). Solve -2*d - x*d + 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1280 - -1286. Let b(t) = t**3 - 4*t**2 - 9*t + 1. Calculate b(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, -16, 15190, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p - p**3 + 0*p. Suppose -91*s + 34 - 7 = -155. Calculate the lowest common multiple of s and n(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3*x = 18, -3*h = -8*h + x - 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 90407 (base 10) to base 8\nAnswer: 260447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + 6*g - 3. Let n be z(-5). List the prime factors of (-6)\/21 + 1734\/n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -1\/6*p**3 + 4*p**2 + 0 + 0*p + 1\/48*p**4 - 1\/240*p**6 + 1\/60*p**5. Let v(k) = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 5)*(0 + 1 - 2) - 6 + 1 + 3)*(0*g + 3*g - 4*g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1.5\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/((s*s**(-1\/3))\/s*s*s))**31 assuming s is positive.\nAnswer: s**(-434\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - -26. What is the greatest common divisor of b and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*u - 155*u - 5*u**2 + 3 to z + c*u + d*u**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 40100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*q + 2523, 2*q - 1259 = -8*x + 3*x. Suppose n - q = 1467. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17773, -17796, -17819, -17842?\nAnswer: -17865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**3 + 21742*f**2 + f - 2835807 wrt f?\nAnswer: -21*f**2 + 43484*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 676?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 3. Is i(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**13)\/k**(-13))\/(k**(-1\/5)\/k**14) assuming k is positive.\nAnswer: k**(206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 159*x**2 - 2*x + 1. Let a be c(1). Suppose -q = z - 63, 2*z - 5*q = -4 + a. Let g = -43 + z. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1200001?\nAnswer: -1133331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 60 = -8*h. Let n be (-1 - 3\/h)*-4. What is the derivative of 4 - 5 + f**3 - 3*f**n wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 37\/11 + (-10)\/2. Is n >= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x - 16 = -4*w + 76*x, -12 = 4*w + 5*x - 10*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 + 16*v**2 - 17*v + 75. Let n(l) = 2*l**3 - 8*l**2 + 8*l - 33. Let d(u) = -3*g(u) - 7*n(u). What is d(-9)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824363900 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:16 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11284 is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58\/16 - 3\/1. Let i = -317 - -318. Put 5, i, d in decreasing order.\nAnswer: 5, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 188 = 5*f, -4*f - n = -0*n + 142. What is the tens digit of 6\/f - 254\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -919022 - -289922. What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 = -2, 5*p - 5*f - 55 = 0. Suppose -70 = 7*u - p*u. Is 634\/14 + -3 + 38\/u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m - 4. Let q be g(-7). Suppose -y + 3*l = l, 4*y - q*l - 5 = 0. Determine i, given that 10\/7*i + 6\/7*i**3 + 2\/7 + 2*i**y = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73125?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/10)\/(3\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 27. Let q = -485 - -801. Suppose -17*t + 13*t + k = -q, 316 = 4*t + 3*k. What is the remainder when t is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 27 = p, 3*p - 3*g = 4*p + 8. Let r(f) = 17 - 2*f - p + 0*f. Is r(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a + k, 2*a + a - 25 = 4*k. Suppose 5*g - 140 = -5*h, 23 + 67 = 3*g - a*h. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 24402837?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -98914\/5 at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 1948 + 593 = 0. What is the remainder when w is divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*g + 2*g + 20385, 0 = g. Let h = 101878\/15 - q. Let t = h + 14\/5. Which is the biggest value? (a) t (b) 2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1514359435 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48, 44, 40, 36?\n\"Answer: -4*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6 + 2 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32.2+-1126883306866\nAnswer: -1126883306833.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnjqqqdnqnqd. What is prob of picking 1 j, 1 q, and 1 n?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.14 + -0.36. Let q = 49.5 + k. Let o = q + -45. Which is the closest to 0? (a) o (b) 0.4 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32 - -357426.7.\nAnswer: 357427.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/11 + (-2)\/2. Let k = -2.23 - 0.77. Which is the nearest to p? (a) -3\/5 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*(-108)\/360)\/((-9)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**3 - 4*q**2 - 4*q + 3. Let w(n) = -n**2 - n + 1. Let b(l) = 3*l**3 + l. Let j be b(-1). Let o(y) = j*w(y) + s(y). Give o(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 + 23964384*q - 71786462562432 = 0. What is q?\nAnswer: 5991096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 753, 838, 977, 1170, 1417?\n\"Answer: 27*p**2 + 4*p + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10. Suppose -3*q = -q - 2*r + 14, 0 = 5*q + 5*r - 15. Is q != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/4, -2\/17, 4 in descending order.\nAnswer: 4, 1\/2, 1\/4, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.153011 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8870006 rounded to four dps?\nAnswer: 1.887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, -0.9, -20, -1, -55, 171?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1025 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21782279, -21782284, -21782291, -21782300?\n\"Answer: -u**2 - 2*u - 21782276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 3 + -10 + 3. Let x be d\/(-33) - 200712\/33. Let i = 2482 + x. What is i rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5966 times -0.349?\nAnswer: -2082.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1498*u + 2796. Determine s(-2).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - (0 + -3 + 6). What is the second derivative of 2*k + d*k**2 + 3*k**2 - 8*k**2 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -16 + 10)\/(-9 - -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oii when three letters picked without replacement from irffoqrarorrifrrr.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390137 is divided by 1951?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317038 + -317002. Suppose 0*t + 2*t = -2. Which is the second biggest value? (a) p (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**5\/120 + 89*b**3\/3 + 228*b**2. Let z(c) be the first derivative of s(c). Let a(k) = 12*k**2. What is a(z(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35692 = 24*b - 18140. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128175 divided by -128175?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -2\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)*s**(2\/5)*s*((s*s**(-3))\/s)**(-21))**(-45))**(5\/2) assuming s is positive.\nAnswer: s**(-14415\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 2*x - 77. Let u be o(0). Let v = u - -212. Suppose f + 2*f = v. Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-518)\/(-28))\/((-1)\/(-2)). Suppose -3*b = 31 - c. Solve b*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7549*m + 22705*m - 7602*m - 7603*m.\nAnswer: -49*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhcchhhcccch.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = 0. Let b = 33 - l. Calculate the remainder when b is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.23 * -2.\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/795, 0.1, 2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b + 12 + 2 - 25 + 12. Suppose -f - 3 = 0, -h - 3*h - 2 = 2*f. Let t be (2 - 3) + 1 - h. What is k(t)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1717630, -1717530, -1717430?\n\"Answer: 100*y - 1717730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62246 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 64.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a + 10. Let g(c) = c - 1. Let z(p) = 6*g(p) + v(p). Let r(n) = -5 + 2 + 2. Suppose 0 = 4*t - 4 - 4. Determine t*r(u) + z(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*v - 13*v - 1128. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*g**3*w - 17*g**3 - 9*g**2*w - 21*w wrt g.\nAnswer: -96*w - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 0*y**2 - 5*y**2)*(2*y**3 - 3*y**3 + 2*y**3 + 2*y - 2*y + y**3 + (y**3 - 5 + 5)*(-2 + 1 + 3) - 2 - 26*y**3 + 11*y**3 + 23*y**3).\nAnswer: -12*y**5 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1462621092 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56323, -56324, -56327, -56332, -56339, -56348?\n\"Answer: -m**2 + 2*m - 56324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19063295, 19063298, 19063301, 19063304?\nAnswer: 19063307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 180871 divided by 22\nAnswer: 180871\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abxa when four letters picked without replacement from {a: 8, x: 1, b: 4, d: 2}.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/3 (b) -19 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -133\nAnswer: -53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p - p + 2*p**2 + 2*p + 3*p = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = 10. Let m(r) = -r + r**2 + d*r**2 + 6 - 4*r**2 + 4*r. Let j be m(4). Solve o = -5*i - 6, 4*o = -5*i + o + j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(8\/100*5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -720*n**3 - 36*n**2 - 72. Let a(x) = -103*x**3 - 5*x**2 - 10. Give 36*a(t) - 5*w(t).\nAnswer: -108*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 794 + 48. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 122 - 727*l - 74*l - 49.\nAnswer: -801*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5213 is divided by 1734.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 473\/5 + 1 - (-42)\/(-70). Let y = 128 - d. Solve y = -12*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152655?\nAnswer: 5, 7, 32933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/60 + i**4\/3 + 7*i**3\/6 + 189*i**2. What is k(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 7\/9 + (-94)\/(-18). Let x(n) = -n**3 + 3*n**2 + n - 2. Let d be x(3). Let y = 6 - d. Solve -2*h + y*h + w*t + 19 = 0, h = -t - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyywyw. Give prob of sequence ww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/24 + 5*o**3\/6 - 9*o**2 - 14. Let h(i) be the second derivative of j(i). Let q be 2 + -1 - (-10)\/2. Determine h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 5. Suppose -3*b = 13 + 2. Let c be r(b). What are the prime factors of 1*(4 - c - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6387 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/12 - n**4\/6 + 2*n**3\/3 - 7*n**2. Let f be h(2). Solve -4*y - f = -8*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 68*c + 34.\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.816 and -0.5.\nAnswer: 3.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065678 is divided by 304?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7549 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89081569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31749 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110100000000101 - 110101110?\nAnswer: 10100110011001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -15. Let c(y) be the third derivative of y**4\/24 - y**3 - 2*y**2. Let j(w) = -w + 5. Determine a*c(m) + 7*j(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 307654 + -10?\nAnswer: 307644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2961*u - 2. Let z(d) = 2*d**2. Calculate b(z(q)).\nAnswer: 5922*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3480587 or -1?\nAnswer: -2\/3480587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -22*t**3 - 1. Let g(s) = -586*s. Let j(v) = -55*v. Let x(q) = -3*g(q) + 32*j(q). Give y(x(o)).\nAnswer: -264*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*v - 395*v = -754*v - 2542403. List the prime factors of v.\nAnswer: 82013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*r - r**3 + r**3 - 746*r + r**3.\nAnswer: r**3 - 1211*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-10) - 40\/50. What is the second smallest value in -1\/13, 0.2, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -0*l, -8*d - 20 = -3*d - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1733197 and 37?\nAnswer: 64128289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 1 + (1 + 2 + 0)*(0 + 0 + 1))*(7*l - 20*l - 5*l).\nAnswer: -126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-3)*36\/8. Let i(v) = 13*v + 3 + 6*v - n*v + 10*v. Let g be i(-2). Solve -a - 4 = -z - z, z + a - g = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1100 and 3025.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 12220 - 395. Let o = -1456 - q. What are the prime factors of o?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329*-42.1\nAnswer: 13850.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4)\/20 + (-16928)\/(-920)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 28. Calculate g(18).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4522)\/(-68) + 21\/6?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*p - 29 = 258, 0 = -o - 4*p + 39. Let b = o + -41. Solve 5*k = -2*m - 5 + b, 5*m - 8 = 2*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -5*f + l + 70, -3*f - 14*l - 33 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 17*y - 5*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i - 2. Let t be q(1). Suppose -o - 2 = -t. Suppose o*s - 88 = -24. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-4)\/(-2) + 4. Let c be (28\/22)\/(6\/33). Solve p - c = -5*u + 2*p, n*p = -4*u + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 4099*n**2 + 5*n + 4101*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-23\/2)\/(r\/r**4*r))**26)**(2\/37) assuming r is positive.\nAnswer: r**(-494\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2\/2 + 34461*k - 1519188 = 0. What is k?\nAnswer: -23018, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 230. Let d(z) = z + 460. Let l(v) = -d(v) + 2*h(v). Let r(f) = -f + 86. Calculate l(r(a)).\nAnswer: -a + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c53 + -77?\nAnswer: 7bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13442412, 26884827, 40327240, 53769651, 67212060?\nAnswer: 80654467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123071 equal to 123085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 7*z - 2*z)*(-3*z + z + 3*z)*(3*z + 1 + 0*z + 1).\nAnswer: 12*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 728*x + 169. Let u = -8698 - -8867. Let a(v) = 26*v + 6. Calculate u*a(k) - 6*h(k).\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 - 654*r**3 - 18*r**2 - 679*r**3 + 10*r**2 - 2 + 1355*r**3 to the form n*r**2 + a + c*r + l*r**3 and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/522 and 67\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:05 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 13 - 16*c**2 + 3*c + 6 - 16. Is t(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.656 - 49.7. Let t = 0.044 + d. Let s = 1.5 + -2. Which is the closest to 2\/7? (a) 0.3 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*q + 4*q**2 + 34*q + (-2 + 3 - 3)*(-6 - 6*q + 6)*(-q - q + q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3095 - -3094.836. Which is the fourth smallest value? (a) -3 (b) -0.16 (c) 0.1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnxnnnnnxnxnxnxnx. Give prob of picking 2 x.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033022 (base 4) in base 13?\nAnswer: 23c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -27*s + 616550. What is s rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 3, s: 4, e: 3, h: 4, x: 2}. What is prob of picking 1 e, 1 o, and 1 d?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123911 + 46716. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 752*j + 1628. Let m(z) = -109*z - 233. Let g(q) = 3*b(q) + 20*m(q). Give g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -402, -600?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 135449194.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 2:47 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 234 + -1887\/8. What is the common denominator of t and ((-1)\/2)\/(2\/57)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130765908 divided by 6?\nAnswer: 21794318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13424520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325 + 121. Let n = j - -204. Which is greater: 33 or n?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39\/5*l**2 + 76\/5 - 36\/5*l - 1\/5*l**3 = 0. What is l?\nAnswer: -38, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.588664 to 3 decimal places.\nAnswer: 0.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27045 and 1815.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -2?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*b**2 - 21*b**2 - 39*b**2)*(-7*b**2 + 4*b - 1 - 2*b + 4*b**2).\nAnswer: 366*b**4 - 244*b**3 + 122*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 2*j**3 + j**3)*(-j + 4*j + 6*j).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 + 93*r**4 + 681*r**3 + 1095*r**2 + 504*r = 0.\nAnswer: -21, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {n: 7, s: 5, k: 8}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (10 + (18 - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 397488 and 29848?\nAnswer: 16297008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -2 + sqrt(153))**2 + -4*(sqrt(153) - ((4*sqrt(153) - sqrt(153))**2 + sqrt(153) + 4 - sqrt(153))).\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0 + 0*s**6 + 0*s**5 + 0*s**4 + 166*s + 131\/6*s**3 + 4*s**7 + 0*s**2. What is the second derivative of z(b) wrt b?\nAnswer: 3360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5947 is divided by 2123.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 divided by 1422?\nAnswer: -83\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 232787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (40\/(-6))\/(-1 - -2) and (-196)\/(-40) + -5 + (-3228)\/(-480)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*o + 17 - 7 + 451*o - 10.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(2) + 1)**2)*-3.\nAnswer: -6*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 419242734 and 139747578.\nAnswer: 419242734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*r - 64, -2*j - 17 = -3*r + 6. Solve -4*f + 5 = -r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 3*a - 3. Let j be m(3). Does 13 divide (-195)\/j - 2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 - 617*c + 0*c**4 + 620*c + 3 + 26*c**3 + 3 - 1 to i*c + f + n*c**2 + h*c**4 + r*c**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -16*j - 2. Let d be c(-2). Let k = 33 - d. Differentiate -2 + 3*q**3 + q**3 + 19 - 5*q**k with respect to q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191434 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2. Suppose -29*a + 26*a + 3 = 0. Let r(w) = 6 + 7*w - 4 + 4 + a. Calculate g(r(z)).\nAnswer: 98*z**2 + 196*z + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330777 and 27?\nAnswer: 330777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20386*v**2 + 19776*v wrt v.\nAnswer: -40772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 6*i + 0*i)*(3*i - 5*i + 0*i)*(3053*i - 50538 + 50538) as k*i**2 + a*i**3 + v*i + r and give a.\nAnswer: 18318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584, 1163, 1734, 2297, 2852, 3399, 3938?\nAnswer: 4469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrrrrrfr. Give prob of picking 2 r.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(95) - (sqrt(95) + 4*sqrt(95))) + sqrt(95)))\/(-6*(sqrt(180) + sqrt(5))).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80, 161, 242, 323?\n\"Answer: 81*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 93717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -7*s. Suppose h = -s*h + 8. Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(2695) + sqrt(55))*-3)\/(sqrt(132)\/sqrt(300) + sqrt(11)).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t + 1. Suppose -4*d = 9 + 7. Let n = d + 4. Let f = n + 1. Calculate b(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Let s(a) = 86*a - 88*a - 198 + 915. Determine s(h(y)).\nAnswer: -4*y + 717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0*b - 1\/30*b**5 + 98*b**2 + 0*b**3 + 1\/12*b**4 + 1. Factor z(u).\nAnswer: -2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x - 56*x = -42 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 10 - 7*d**2 + 2*d**2 + 2*d**2 + 2*d**2. What is the units digit of v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5\/16 (b) -28\/13 (c) -3\/10 (d) 0.5 (e) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (559\/52)\/((-193)\/(-772))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-1) - (1 + -1). Let c(q) = -22*q**3 + 3*q**2 - 11*q - 11. Let r be c(-1). Let f be 7 - r - 1*t. Are f and -22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 - -1.5. Let a = 0 + -1. What is the nearest to a in 1\/5, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/12)\/(-5)*(-21387)\/9. Let p = c + 1195. What is the common denominator of p and -79\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 27*v**2 - 36*v + 13. Let i = 56 - 41. Is j(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1557456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -228 + -72830?\nAnswer: -72a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -28. Let y = m + -16. Solve -5*o = 3*x - 6*x - 13, 5*o - y = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.4, -792, -0.1, 1\/30 in descending order.\nAnswer: 6, 1\/30, -0.1, -0.4, -792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-8))\/(1\/(-8)). Suppose -23*k + 58 = -25*k. Let y = -27 - k. Calculate the greatest common factor of h and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404.2959 rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -23 (c) 0.148 (d) 2.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.3 + -126.3. Let b = j + 95.2. Let h = 8.96 - 9. What is the smallest value in h, 0.4, 2, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2399408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n + 9. Let s be v(4). Let r = 62 + -80. Let a = r + s. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2. Suppose 6*h - 11*h + 1435 = 0. Let f(k) = 144*k**2 - h*k**2 + 142*k**2. Determine r(f(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)\/i)\/i*i**(-13)*i)\/(i\/(i**(-2)*i))**(2\/131) assuming i is positive.\nAnswer: i**(-5383\/393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/200 and -29\/880?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -612 - -1897. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.647173 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -17, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 208726 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j - 3*h + 12, -5*j = 3*h - 12. Let y be 0*((-2)\/(-4) - j). Suppose y*c - 147 = -3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 1. Is t(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*k**3*t**3 + 4*k**3*t + 2*k**3 - 3*k**2*t**3 + t**2 - 3*t wrt t?\nAnswer: -84*k**3*t - 18*k**2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 335, 713, 1131, 1589, 2087, 2625, 3203?\n\"Answer: 20*a**2 + 318*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*q**2 - 2*q + 415?\nAnswer: -50*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 3. Let k(z) = z + 1. Let x(a) = -2*k(a) + y(a). Let n be (-3 - -1) + 10\/(0 + 2). Let c(m) = n*m - 4 + 4*m - 3*m + 4*m. Determine c(j) + 6*x(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8*u = -3*u - 464, -2*y - 3*u = -230. Solve 126*x = y*x + 30 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19*(-19)\/361)\/((2\/8)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - 0.2. Let s = 11 + g. What is the nearest to 2\/3 in -2\/9, s, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 1 + 1 + (1 - 3 - 1)*(-2*k + 5*k - k) + 12 + 6*k + 54*k - 36*k.\nAnswer: 20*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/7 - 64*z**3\/7 - 660*z**2\/7 - 400*z - 4250\/7 = 0. Calculate z.\nAnswer: -17, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, i: 11, v: 1}. What is prob of picking 1 k and 1 i?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/85540 and -33\/301505.\nAnswer: 109747820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 137*u + 169*u - 41*u + 38*u.\nAnswer: u**2 + 303*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Suppose -j + 24 = i + 29, 5*i = 3*j - 25. Let s(b) be the first derivative of -2 + j*b - 83\/2*b**2. Calculate s(g(v)).\nAnswer: 166*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 24 (c) 0.4 (d) 0.59 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*m - 4, -2*s - 6*m = -11*m + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-258)\/40*-2)\/((-18)\/(-597)). Let b = 428 - r. Find the common denominator of 85\/14 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-29 - -43) + (10 - 18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuuuululul.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 10*v - 1. Let s(z) = -z**2 + 7*z - 1. Calculate 5*g(j) - 7*s(j).\nAnswer: -3*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(17) + 3.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5071*r + 5066*r + 28 = 0, 4*f + 3*r = 30 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-2\/39))\/b)\/b**(-4\/3) assuming b is positive.\nAnswer: b**(89\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 746960388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**6\/240 - f**5\/40 - 4*f**3\/3 - 5*f. Let m(n) be the second derivative of v(n). Factor m(t).\nAnswer: 3*t*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 309 - 100)*(0*x - 2*x + 0*x)*(-26 + 19 - 7)*(2*x**4 + 0 + 0).\nAnswer: -26096*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 54, 172637*r - 45 = -3*l + 172635*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13*b - 36. Let g(c) = 11*c - 36. Let x(u) = 6*g(u) - 5*q(u). Determine x(26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7*u. Suppose u = -2*q + 4, 2*q + 0 + 8 = 2*l. What is the remainder when l is divided by 88\/16 - (-9)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.4, 93, 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 1, v: 7, y: 1}. Give prob of picking 1 y and 3 g.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 847 and 1925?\nAnswer: 21175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 5*y + 5 - 0, 2*y - 4 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -126, -199, -280, -357, -418, -451, -444?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 75953857, 75953858, 75953859?\n\"Answer: l + 75953856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osooofoffopt. Give prob of sequence fp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*q + 20*q + 27*q + (-1 - 2 + 4)*(0 + 0 - 2*q))*(9 + 12 - 1).\nAnswer: 180*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301 and 129?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6106124, 12212414, 18318706, 24425000, 30531296?\nAnswer: 36637594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 18 = -a + 4, 5*a = -2*l + 11. Solve 2*r - l*p = 3*r + 12, 4*r + 3*p = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/1289711 - 542969167\/1078198396. Let m = 21\/76 + j. Find the common denominator of (66\/(-16))\/((-5)\/(-20)) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*y + 172 = 215*y. Solve s - v + 1 = 0, y*s + 7*v + 7 = 4*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 10. Let w be l(14). Let q = -1231\/9 - -137. What is the second smallest value in q, w, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -8 + 8 + 1 + 7 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 = -1. Let n(x) = x + 19. Let k be n(-9). Let w(c) = c - 12. Let o be w(k). Sort v, -3, o in decreasing order.\nAnswer: o, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13511*h + 1 + 6439*h - 1.\nAnswer: 19950*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -120*o**3 - 2*o**2 + 2*o + 2. Let i = 40 + -41. List the prime factors of g(i).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 22.5. Let v = -0.3 - -1.3. What is the nearest to v in -1\/3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/6))**(-3\/13) assuming u is positive.\nAnswer: u**(-7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4835306 and 0?\nAnswer: 4835306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 74163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -0.2 (c) 151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/36 + 58\/18. Suppose -4*q + 2 = 4*j - 6, 4*j - 8 = o*q. Is (1 - q)\/((-2)\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3132.3411 * 0.1\nAnswer: 313.23411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79)\/(-2765))\/(5\/35).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7138 - -144216.\nAnswer: 137078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1. Let n(w) = 11*w + 25. Let y(v) = -6*a(v) + n(v). Let k be y(11). Differentiate -k + 79 + 73 - 13*p**4 wrt p.\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5367667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**3 + 317*q**2 + 63*q - 526. Calculate c(53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57153 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(3\/12*2). Suppose -n = -m*n + 12. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 11*x**7\/21 - 3*x**4\/4 - 21*x. Find the third derivative of s(r) wrt r.\nAnswer: 1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:36 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68731502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 56881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 21*s - 72. Suppose -14*y = s*y. Solve -3*w - 2*i - 5 = y, 8*w - 3*w - 5*i = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, -1, -16, -4, -184 in decreasing order.\nAnswer: 6, 3, -1, -4, -16, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98741 - 825691 = -48*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-10 - -7) - 4) + (-9 - -31 - 16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 416. Let w(f) = 24*f + 2100. Let c(s) = 14*i(s) + 3*w(s). Let y(k) = 2*k. What is c(y(d))?\nAnswer: 4*d + 476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (3 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) + (208\/6)\/8. Let z(w) = 24*w**2 - 10*w - 14. Is z(x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8. Let r be 0\/(-1 - (n + 0)). Let x be (-4 + 64)\/(-12) - 34\/(-8). Put r, -2\/7, x, 0.3 in descending order.\nAnswer: 0.3, r, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 2}. What is prob of sequence uu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 3\/8, -3, -1, 1\/18, 1.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1570184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.78 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(39) - sqrt(39))*-5)\/(sqrt(96)\/sqrt(2)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 8 = 3*k. Suppose -3*o + 8 = o. What is the remainder when o is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -x, 29*x - 34*x + 20 = 2*z. Let w(r) = r + 3. Let j be w(7). Suppose 48 = 2*d - j. What is the remainder when d is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 860, 3003, 7180, 14069, 24348, 38695?\n\"Answer: 113*v**3 - 4*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 9*x + x**2 - 6 + 74*x to d + u*x + w*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7350.7 rounded to the nearest 100?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 483 and -379733.\nAnswer: -379250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85244 - 48428. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 4*h - 3*h - 56, -76 = -5*r + 4*h for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 375 - 195. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 32*t + 6. What is the units digit of o(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let o be (-4)\/(-10) + (-260)\/(-100). Let u(i) = 27 - 27 + 2*i - o*i. Determine n(u(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -164*z**4 + 227*z**3\/3 - 889. What is the third derivative of s(w) wrt w?\nAnswer: -3936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*s = 0, -3*i + 4*s = -s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**2 + 3*n + 4. List the prime factors of r(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -215*h - 2883 + 29*h + 34*h**2 - 37*h**2.\nAnswer: -3*(h + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(4 - 2 + 0) - 1 + 0 + 0)*(-49*v - 35*v + 17*v)*(2 - 5 + 2).\nAnswer: 67*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 1. Let g be 9*-2*1\/(-3). Calculate m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 516 + -142. Let x = r + -372. Let h(j) = j**3 - 7*j + 5. Give h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -257, -302, -361?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/13 - 86*y**2\/13 + 320*y\/13 - 24 = 0. What is y?\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8427, -8420, -8409, -8394?\nAnswer: -8375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 7*t - 3*z = 2, -z = -2*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((12 - 8) + 5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13030 + 1232?\nAnswer: 14302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 33*b**2 + 23*b + 120. Calculate x(-7).\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q**2 - 8*q + 7. Let f(y) = -6*y**2 - 4*y + 4. Let k(d) = 7*f(d) - 4*m(d). What is the second derivative of k(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*n + 273 = -106*n. Calculate the greatest common divisor of 861 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juj when three letters picked without replacement from uujfjuujfuuuujujjjj?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 740 = -5*o. List the prime factors of (0 + 12\/6)\/(2\/o).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5971404 rounded to 2 decimal places?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 2\/9, -57?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315470181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442576 = -3*n + 14467639. Let p = n - 515021. Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -135*m**2 - 4*m - 9. Let q(o) = 338*o**2 + 10*o + 22. Give -5*q(g) - 12*u(g).\nAnswer: -70*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/7*21\/6. Suppose 0 = 3*m - a - 4, 0 = -a - k + 4. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from xbipxpgis?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3148*l**2 - 3148*l**2 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/7, -1, 111985?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3296761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 1, -3 = -2*p - 10*k + k for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 + 17 - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -420.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, d: 2}. Give prob of picking 2 l and 2 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**2*u**3 - 8*s**2*u**2*v - 2*s**2*u*v - 23*s*u**3*v + 2*s*u**2*v + s*u*v - 2*u**3 wrt s?\nAnswer: 10*u**3 - 16*u**2*v - 4*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 10*o**2 + 1. Let t(r) = 24*r**2 - 16*r - 4. What is 4*l(w) + t(w)?\nAnswer: 64*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -63.6. Let l = 2.8 + j. Let z be ((-26)\/10 - -3)*(-15)\/(-3). What is the closest to -6 in -4, z, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + f = -2*z - 31, -5*f = 2*z - 61. Let h = 0 - -2. Let m(y) = 4*y**2 - 4*y + 3. Calculate the remainder when z is divided by m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 11*c**2 + 20*c - 32. What is r(13)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*q + 10*q + 30*q - 4305 - 3525 = 0 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1448443?\nAnswer: -9\/1448443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 0\/(3 + 1). Let t be (4\/i)\/(16\/24). What is the closest to 1 in t, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 1*(-2 - 0)*(-5 + -5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97a + 5?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6953632 and 35238?\nAnswer: 20860896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 1, u: 3, g: 7, z: 2, a: 3}. Give prob of sequence gka.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207002?\nAnswer: 2, 29, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 5*b - 26 + 28 in the form q + n*b and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -94*i - 1217. Let l be c(-13). Put l, 8, -26, -5, -3 in decreasing order.\nAnswer: 8, l, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 770?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 118*h + 64 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -115, -126, -137, -148, -159?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 + 0)*(3*w**2 - 2*w**2 + w**2)*(w**2 + 2*w - 4*w - 3*w**2).\nAnswer: 4*w**5 + 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1337 + -1045. Is 2\/3 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -64*k**2 - 207*k - 385. What is l(-2)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 12. Let m be l(-9). Suppose -152*n - m = -153*n. Solve 5*f + b = 3*f + 3, -n*b - 11 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let t = 2141 - 10707\/5. Suppose 2*i - 4*i - 2 = 2*j, 3*i - 13 = 5*j. What is the nearest to j in -3, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4310476835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 4\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1397*k**3 + 4*k**2 - 4. Let z(h) = 2794*h**3 + 9*h**2 - 9. Give -18*g(r) + 8*z(r).\nAnswer: -2794*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8*t - 888. Let r = -62 + t. Let v(n) = 2*n - 16. Give v(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120 - (-13224)\/114)\/((1 + 0)\/6)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483971222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n - 5 = 0, 0 = 2*u + 2*n + 8. Let z(w) = 17*w**2 - 1. Does 16 divide z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c**2. Let n(r) = -23826*r. What is n(j(s))?\nAnswer: 142956*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 11:57 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6896*o**4 - o**2 + 3417 wrt o.\nAnswer: -27584*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - l + l + ((-15 + 7*l + 15)*(0*l + 0*l - 2*l) + (-l - 3*l + 3*l)*(-l + l + 6*l))*(0*l**3 - l**3 + 3*l**3).\nAnswer: -42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 99072850*a**2 + 490771678501765*a + 1963085128841780.\nAnswer: 5*(a + 4)*(a + 9907283)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 2*j. Suppose 0*m - j*m = 0. Suppose -s + 3*f = -m*s - 20, 1 = -f. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + p**3 + 2*p**3 + (-6*p + 10*p**2 + 6*p)*(4*p + 4*p - 3*p).\nAnswer: 49*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v - 17. Suppose 4*c = 2*d - 7*d - 46, 2*c - 4 = 2*d. Suppose -4*z = -2*x - x - 153, 204 = -4*x - z. Let h(g) = -g + 2. Calculate d*m(i) + x*h(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v**2 - 18*v + 20. What is t(5)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.662 - 0.6.\nAnswer: -28.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = 5*p + 2*s, -5*p + 2*s - 19 = 0. Let u(c) be the second derivative of c**5\/20 + c**4\/6 - 2*c**3\/3 - c**2\/2 - c. Determine u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31.3 (b) -2\/7 (c) 65070\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ecaab - 4?\nAnswer: 5ecaa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 + (-3 - -7) - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1628154 is divided by 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m**5 - 5*m**3 + 613*m**2 + 10*m - 5. Let r(o) = -2*o**5 + o**4 - o**3 + 2*o - 1. Let j(t) = k(t) - 5*r(t). Find the third derivative of j(v) wrt v.\nAnswer: 1140*v**2 - 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2367\/5 - 469. Let r = j + -139\/35. Let i = -1.856 - -1.956. What is the closest to 2 in i, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3338, -3337, -3336?\nAnswer: -3335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20512 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -219, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8*b - 3*l, -3*b + 4*l + 29 = 0. What is the smallest value in 0, b, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24301123 minus -1014970?\nAnswer: -23286153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*d = -25, 3*g + 5*d + 6 = 46. Factor 4\/7*i**g + 4\/7*i**4 + 0 + 0*i**3 + 0*i**2 + 0*i.\nAnswer: 4*i**4*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/14 + (-6)\/(-21). Suppose i*n = n. Let q = 6 + n. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 89 - 9. Let v be ((-42)\/a)\/(4\/8). Which is smaller: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.19, -0.16, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4571159?\nAnswer: 101, 45259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 - 75850*a**4 - 379130*a**3 - 75720*a**2 + 1592415*a + 1364850 = 0. Calculate a.\nAnswer: -15165, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 14445672 - 40539328. Let l be ((-13210242)\/(-15))\/(2\/(-10)). Let n = c - l. What is n rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 724.\nAnswer: 5\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/12 - 5*m**4\/24 - 75*m**3 - 517*m**2. Factor z(g).\nAnswer: 5*(g - 10)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/22*-1)\/6*(-76)\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29495993099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -568 + 776. What is the derivative of 78*q**2 - 10*q + 6*q + 4*q - l wrt q?\nAnswer: 156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 + 10*w**2 - 8 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3672*q**4 - 2*q**3 + 24*q**2 + q + 2 wrt q.\nAnswer: -88128*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*z**2\/2 + 761*z - 9\/2.\nAnswer: -(z - 9)*(169*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7191 = 4*a - 55*a. Is a less than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-1485)*((-39)\/26*2 - 6\/3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -18*n - 1. Let o be w(1). Let i = 28 - o. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-48))\/((-3)\/(5 - -7))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 0*a**4 - 4*a**4 + (-2*a**3 - 3*a**3 + 7*a**3)*(-8*a + a - 9*a) + 6*a**4 - 1 + 1.\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-5) - (-6)\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-175)\/(-98) + 2\/7. Suppose n - g = -3*r, n - 4*r = -2*r - 4. Solve 4*s + n*h + 0*h = 8, 2*h - 8 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (6 - -19) - (-2 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413542 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-60) + (-114)\/(-10). Suppose 4*q = h*q - 8827. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -250? (a) -1 (b) -0.145 (c) 4\/9 (d) -1\/5 (e) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 10:51 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - ((-29)\/(551\/(-38)))\/((-2)\/6*-3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 35*q + 14. Let c(r) = -23*r - 9. What is 8*c(y) + 5*u(y)?\nAnswer: -9*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/8 and 47\/368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63.1 and 14120700.\nAnswer: 14120763.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 143721226 and -6551582?\nAnswer: 150272808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -25*u**4\/4 + 2*u**3 + 3248*u**2 - 1035. Find the second derivative of o(f) wrt f.\nAnswer: -150*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(-3\/5))\/h*h)**(2\/3)\/(h*h**3)**(7\/6))**3 assuming h is positive.\nAnswer: h**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11\/5))**(-43)\/((i*i**(2\/7)*i)\/(i*i\/((i**(-37)*i)\/i))) assuming i is positive.\nAnswer: i**(4596\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x + 1. Let b be 4\/(-1)*(-6)\/(-4). Let h(n) = 3 + 1 - 15*n - 3 + 1. Let l(j) = b*h(j) + 11*q(j). What is the first derivative of l(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.252734 millilitres?\nAnswer: 0.007252734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 101.\nAnswer: 5\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.58 + 0.42. Let d = 3\/2 - 27\/10. Which is the nearest to -1\/4? (a) n (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -5)*-1 + 5. Let f be ((-6)\/(-9) - z\/(-6))*201. Let a = f + -12. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/708 and 151\/25692.\nAnswer: 1515828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 + 157*w + 4. What are the prime factors of m(7)?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 6017440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -16. Suppose s + 744 = 5*s. Calculate the remainder when s is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/22 - (5\/(-40) + 6234\/2640).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814374*-4.\nAnswer: 3257496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -1566, -3456, -6074?\nAnswer: -9420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18*f**2 - 2*f. Let s(t) be the third derivative of -2*t**5\/3 + 2*t**2 + 52. Determine k(s(b)).\nAnswer: 28800*b**4 + 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2. Let n be ((-178)\/623)\/(2\/(-14)). Let p(g) be the second derivative of 0*g**n + 0 + 4\/3*g**3 - 13*g. Calculate p(a(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045000957 rounded to seven decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18 + -28)*(1 - 8) is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*sqrt(112) - ((sqrt(14)\/sqrt(2) - sqrt(7))**2 + 5 - (1 + sqrt(252))**2).\nAnswer: -4*sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11311.19 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*g - 11. Let w(m) = -m**3 - 6*m**2 + m + 6. Let t be w(g). Suppose 7*n - 3*n - 12 = t. Solve n*j - q = -19 + 4, -5*j = 3*q + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 114, 85, 70, 75, 106, 169?\n\"Answer: s**3 + s**2 - 39*s + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205 + 116. Let n = i + 93. Solve 12 = 2*q + n*l + 38, -29 = 5*q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*w**3 - 78*w**2 - 17 + 4*w**5 + 2 - 3*w**4 + 57*w - 7*w**5.\nAnswer: -3*(w - 1)**4*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-18)*i**(-12)\/i)\/(i**(-14)\/((i**(8\/5)*i)\/i)))**(8\/3) assuming i is positive.\nAnswer: i**(-616\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*f - 73200000, 4*f + 2*d + 19388743 = 92588743. Suppose -6*v = -3*v + f. Round v to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 - 199. Let f(g) = -g - h + 18 - 13. Let y(t) = 11*t - 8. What is y(f(v))?\nAnswer: -11*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*z + 1540 = -136*z. Suppose -6*w + 386 = -z. What is the lowest common multiple of 36 and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d - 30. Let g(b) = b - 1. Let t(i) = -46*i - 220. Let j be t(-5). Give j*g(h) - m(h).\nAnswer: -2*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-2 - (-2)\/4). Let s = d - 2. Suppose 2*n - 32 = -2*h, -42 - 14 = -3*h + n. Calculate the remainder when h is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1*264\/308?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131.3 minus 0.1?\nAnswer: 1131.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05372 - -278.4819551.\nAnswer: 278.5356751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, 19, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96282.69t in nanograms?\nAnswer: 96282690000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/143, -0.5, 171\/59.\nAnswer: -0.5, 0, 1\/143, 171\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125827 by 27.\nAnswer: 125827\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**3 - 3*d**2 + 7. Let x(u) = 2*u**3 + 4*u**2 - 3*u - 4. Let w(k) = -k**3 - k**2 + k + 1. Let g(p) = -3*w(p) - x(p). What is -5*g(s) + n(s)?\nAnswer: -s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)*(3 - 8 - 164). Let a = i + -119. Suppose -2*v = 2*x - a, -3*v + 4*v - 1 = 5*x. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*h + 9, 8*h + 12*a - 23*a + 22 = -9*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from adaagodgdaaaadgd?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 268487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 2187*i**2 + 448245*i + 23339925.\nAnswer: (i + 105)**2*(i + 6351)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81079 + -81083.7903. Round f to one dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441772 is divided by 55220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 449784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 150070668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-1176)*((-140)\/63 - -3)\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t = 3*s + 65608, -5*t = -4*s - 65609. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -1048.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 470\/(-188)*8\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 179?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j**4 - 60*j**3 - 32*j**2 + 12*j = 0 for j.\nAnswer: -3, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 780237553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16743 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (20\/(-8) - (-1)\/(-2)). Let i be w\/4 - 375\/(-100). Solve 0 = 2*h + i - 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1327 - 1328. Which is the biggest value? (a) -0.4 (b) 26\/7 (c) 1\/5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:11 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 6. Let y be q(-6). Suppose -c = -4*j + 14, -2 = -5*j + y. Suppose -11 = -c*r - 9. Is -2 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 307, 1223, 2751, 4891?\n\"Answer: 306*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 4*x**2)*(4*x - 2*x - 2 + x)*(-4 - 2 + 10).\nAnswer: 12*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 5. Let a(t) = t - 4. Let d be a(6). Sort m, d, -1 in decreasing order.\nAnswer: d, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)\/g**(-4)*(g**11\/g)**(-19))**(-2\/23) assuming g is positive.\nAnswer: g**(388\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1395 - 4184\/3. Let r = 0.2 + 0. What is the closest to -3\/7 in t, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -j + 4, 2*f = j + 3*j - 2. Suppose 3*y = 5 + 10. What is the smallest common multiple of j and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139\/7645 + (-5772)\/(-165) + (-9 - (2 + -3))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 4865329789932*b**3 - 4865329789929*b**3 - 40 - 40.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 338 and -0.1?\nAnswer: -33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:37 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*k - 3*k = -11, 4*n - 38 = -2*k. Suppose 90 = n*g - 42. Calculate the remainder when 52 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 50 = -48*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-202)\/(-88) + 42\/(-77)*1?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 3)\/((-22)\/(-77)). What is the remainder when ((-497)\/s)\/(4\/8) is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**2 - 3*a**2)*((-2*a + 2*a + 2*a)*(-1 + 1 - 2) + 0*a + 5*a + 2*a) + 2 - 2 + a**3 + (-4*a**2 - a**2 + 3*a**2)*(-2*a + 2 - 2).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:18 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9138\nAnswer: -9139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240205648.\nAnswer: 2, 17, 883109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 70, 76, 82?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.038 and -3925872 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-8 + -4) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**2 - 6*p + 12. Give f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -19*f + 6. Let d(v) = 16*v - 8. Let i(z) = 6*d(z) + 5*o(z). Give i(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 9, 5*c = 4*i + 135. Let k = i + 66. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -110*l**2 + 5259*l + 972. Determine g(48).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k - 4 = 0, -4*f = k - 7. Suppose -f*t = -2*g - 10868, 4*t - g - 10865 = 2*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3 + (1 - 2) + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-16)*(8 - (-224)\/(-24))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than -1768250960?\nAnswer: -1768250975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2136181 - 711841 = 246*s. What is the highest common factor of s and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-60)*(-24)\/(-16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269 - 189. Suppose w = 2*v - 3*u, v - u = -2*v + 113. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 21*n**2 - 25*n - 68. Let p be d(-22). Calculate the remainder when (-3)\/p*(4221\/27 - -3) is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 167616740*a**2 + 63088503.\nAnswer: 335233480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 25*i**2 + 1299*i - 36. Calculate l(-52).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g*u**3 + 5*g*u**2 - 3962*g*u - 2*g + 3892540*u**6 - u**2 + 6*u - 10 wrt u.\nAnswer: 48*g + 467104800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*z - 196*z = 2*n - 95, 0 = 5*z - 3*n + n + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14451 + 14?\nAnswer: 14465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 - 202*k**3 + 1046*k**3 - 1 - 411*k**3 + 3*k to s*k + o*k**3 + h*k**2 + a and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 293103404?\nAnswer: 1172413616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -3*v + 4*v, -v = 0. Let y be 2*1\/(j\/6). Suppose 1 = y*t - 35. Solve 0 = 2*o - 6*o - t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1279*r - 2116. Is c(-63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12470 + 17539. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 0*q + 2*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0493812 from -2.537.\nAnswer: -2.5863812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 70 - 70)*(-7*u + 3*u + 2*u) + 0*u**2 + 0*u**2 + 2*u**2 + (2*u**2 - u**2 + u**2)*(-4 + 3 - 1) + 2 - u**2 - 2.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 s when three letters picked without replacement from {c: 5, s: 1, j: 2, z: 6, w: 3, d: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 4. Let c be (-5)\/((-5)\/(-2)) - 1. Give m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537503235?\nAnswer: 5, 507500647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*c = -380818, 2*u + c = -3*c + 190418. Suppose 4*z - u = -23203. What is z rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418471 is divided by 22011.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14334453, -14334455, -14334457, -14334459, -14334461?\n\"Answer: -2*f - 14334451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4 - 4*h**3\/3 - 10*h**2 - 12*h + 49. Factor p(v).\nAnswer: 4*(v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1918 + 226263\/118. Find the common denominator of p and -79\/1770.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**2 - 193*a + 95. Let f be m(-28). Put -1, f, -3, -2, 7 in decreasing order.\nAnswer: f, 7, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*t + 2, -w + 2*t + 14 - 1 = 0. Factor 2*j**w - 2*j**4 - 4*j**2 + 6*j**4 - 3*j + j.\nAnswer: 2*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2 - i - 1. Let h be d(-1). Let a(x) = x - 6. Let l be a(h). Solve -l*c = 2*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**14*h)\/h)\/h**(1\/4))\/(h\/(h\/h**(-2\/19))*h\/h**(-3\/7)) assuming h is positive.\nAnswer: h**(7675\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, 13\/2, -2, 0.3, -0.5, 119, 42?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/480)\/((-21)\/(-28)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -23448*o + 2*o**2 + 12 + 23425*o - 4*o**2. What is h(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1880058 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - t - 3*t - 8, 2*o + 4 = 2*t. Let u = 16 - 9. Let c be (u - 6)*(2 + -1). Sort o, -1, c in descending order.\nAnswer: c, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.22 times 0.2?\nAnswer: 3.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3*(-1 - -4) + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.543648 decades?\nAnswer: 0.3543648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 0)*1\/(16\/(-6)). Suppose -g*i = 15, 4*i + 7742 + 12975 = 3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011011110010011100100 (base 2) in base 9?\nAnswer: -14486274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 3960?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 17*v**5\/60 + v**4\/24 - v**3\/6 - 2*v**2. Let d = 24243 + -24242. What is o(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 409 - 3*m + 4*m - 427. Calculate q(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -62*j - 43. Let t be g(7). Let y = 226 + t. Is y <= -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w**2 - w + 1. Let t(g) = 3*g**2 - 2*g + 3. Let z be 246\/(-8) - (-6)\/(-24). Let j be (2\/4 + -1)*-58. Let n = z + j. Give n*p(s) + t(s).\nAnswer: 2*s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/133*(-3)\/(2\/8*-30)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1193 + -1197. Let f = -0.5 - -0.5. Which is the closest to -1? (a) h (b) f (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22585 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98637000 rounded to the nearest one million?\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 2 + -4 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -141*i + 132*i. Let w be (-14)\/i + 6 - (-2)\/(-10). Solve s = j, w = -5*s + 4*j - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 4*y + 4. Let b be o(2). Suppose 4*k - 18 = s - b, -s + 22 = 4*k. Suppose 0 = q + 5 - 3, 4*i + k*q - 566 = 0. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 54 = -4*a, 10*f - 6*f = 3*a + 72. Solve -16*p = -f*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1529*q - 116192. What is x(-76)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*o + 598 - 115 + 3326 = -1620 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64963841 a multiple of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*y - 148 = 338, 4*p + 964 = -5*y. Sort -6, -5, p.\nAnswer: p, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 28 = 4*v, 4*v = -n + v - 10. Let f(w) = -w**3 - 5*w**2 - 2*w + 3. Let a be f(n). Let i(z) = z**2 + 5*z + 6. What is i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {n: 8, y: 6, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 v when four letters picked without replacement from {v: 12, i: 7}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -625 - -626. Let p be -4*-1*1\/6. What is the third smallest value in p, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6815 - 4171. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 22 = v + 2*r + 4 - 30, 0 = 4*v - r - 32 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 304476313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491658724 divided by -4.\nAnswer: -122914681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18480881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-2)*-3*(178 + -180). What is the common denominator of (-400)\/n + (2 - 10) and 55\/51?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 21*y**2 + 19*y + 23. Let f be p(20). Let m(z) = -z**f + 5 - 6 + z - 3*z**2 + 6*z**2 - 2*z**2. Determine m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 6466918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2023723*n**2*r**3 - 276*n*r**3 - 2*n*r + r + 360 wrt n.\nAnswer: 4047446*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5439 + 527601\/97. Let f = 1017\/776 - y. Find the common denominator of -125\/42 and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*v + 4 = 0, -3*v - 26 = 17*y - 57 + 223 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 1. Let l be r(0). Suppose 0 = -3*y + 4*y - l. Let q(z) = 14*z - 4. Calculate the remainder when 39 is divided by q(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 51 = 2*k + 5*c, 4*k - 4*c + 20 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4808223 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-40)\/86) + (-8)\/(-20). Solve -9*r + o - 18 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + l + l - 18 = 0, -4*m + 5*l - 21 = 0. Suppose -4*w = -23 - 1. Suppose 5*o + 14 = -w. Is m > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 345 or 0.1?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 987 (b) -0.5 (c) 0.2 (d) 1\/17 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 774 = 3*c. Let s(p) = 869*p + 3. Let l be s(-5). Let v = l + c. Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*f**2 + 2 - 344*f**3 + 87*f**3 - 1258*f**3 wrt f?\nAnswer: -9090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4776866*o**3 + 6014628*o wrt o.\nAnswer: 28661196*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44388 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*c + 6*c - 36, -4*o - 12 = c. Let l(x) = -80 + x - 80 + 163. What is l(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1474200 divided by 360.\nAnswer: -4095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3288165?\nAnswer: 3, 5, 29, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-138) - (-1768)\/(-828))*25\/200\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405444.\nAnswer: 2, 351361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 + -135. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 11:50 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2905 + -2904. Suppose -2*q = 4*z + 4, 3*q - 21 = -3*z + 6*z. Put -1, q, 15, g in decreasing order.\nAnswer: 15, q, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q**4 - 18*q**4 + 13*q**4 + (q**2 - 4 + 4)*(-4*q**2 + 3*q**2 + 0*q**2) - 4*q**4 + 5*q**4 + q**4 - 2*q**4 + 6*q**4 - 2*q**4)*(-20*q + 7*q - 10*q).\nAnswer: 253*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*h**6 - 522*h**5 + 27114*h**2.\nAnswer: -2040*h**3 - 31320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*o*y**3 - 6*g**3*o*y**2 - 151*g**3*y**3 - g**3 - 2*g**2*o*y**2 + 3*g**2*y**3 - 48*o*y**2 wrt y?\nAnswer: 24*g**3*o - 906*g**3 + 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**2 + 2. Let s(w) be the first derivative of -w**3\/3 + w - 2. Let t(a) be the first derivative of s(a). Calculate t(h(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuul when four letters picked without replacement from {u: 7, h: 2, l: 2}?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 - (22 - 2 - (8 - 7 - -4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 49. Suppose -3*s - 3 = w - 6*s, w = -3*s + n. What is the remainder when ((-2)\/(-4))\/(((-12)\/272)\/(-3)) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 + 293109*z\/5 + 12012426\/5.\nAnswer: 3*(z + 41)*(z + 97662)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 765052203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316836.\nAnswer: 2, 3, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1130051 - 5024?\nAnswer: 1121023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3582733488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*b**2*h**3 - 2*b**2*h*r - 20140*b**2*h*t - 2029*b**2*r + b*h**3*r + b*h**3*t + 24*r*t wrt t?\nAnswer: -20140*b**2*h + b*h**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-31)\/1953)\/((-1)\/9). Which is the nearest to 4? (a) -5 (b) 2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -63*j + 48*j - 28 + 23. Let a be q(5). Put -1\/6, 2\/9, a in decreasing order.\nAnswer: 2\/9, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from rfnfrrrrff?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*u**2 + 1\/4*u**3 + 15 - 14*u.\nAnswer: (u - 2)**2*(u + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15727 is divided by 5212.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 755, 8\/3, 1.73 in ascending order.\nAnswer: 1.73, 8\/3, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74283, 148553, 222821, 297087, 371351, 445613, 519873?\nAnswer: 594131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2219 and -860.\nAnswer: 1908340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 13*r - 44. Let h(k) = -11*k**2 - 26*k + 91. Let u(d) = 6*h(d) + 13*j(d). What is u(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4928110 - -4928110.8000058. Let a = -0.8 + o. What is a rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*u = -35, -3*o - 2*u + 30 = -2. Let w(n) = 4*n - 63. Let g be w(17). Solve 25 - o = -g*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/2)*a**4)\/(a**(-5)*a**2)*(a**0)**(4\/29)\/(a**(-3)*a**(-1\/4)\/a) assuming a is positive.\nAnswer: a**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - c = -2*f - 23, 5*f = -2*c + 31. Suppose -2*z + 8*t + 31 = f*t, 2*t - 6 = -2*z. Suppose 0 = z*d - 5*d - 6159. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8610 * -3\nAnswer: 25830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4 = 4*d, -3*d + 2*d = 4*f + 12. Let j be -1 + -2 - (d + -3). Which is greater: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 86730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 3*i**2\/2 - 2. Let j be m(1). What is the greatest common divisor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 17. Let y = f - -84. Is 10\/y - 10766\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.088661ug?\nAnswer: 0.000000000088661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28744 is divided by 1795?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/4 - g**4\/4 + g. What is the third derivative of k(c) wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/11 in -0.4, -0.1, 2\/93, -30?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8584 and 928.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 11:54 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131.5 + -133. Which is smaller: 2\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1846, -9328, -21796, -39250, -61690?\n\"Answer: -2493*n**2 - 3*n + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.367 times 2?\nAnswer: -0.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83455575 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i. Let w = -11 - -14. Suppose -4*u + 4*b - b = -2, 3*u = -w*b - 9. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + 57. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(936\/65) - ((-4585)\/30)\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let w(t) = t**3 + 5*t**2 - 5*t + 4. Let u be w(-6). What is the third smallest value in u, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjmp when four letters picked without replacement from {j: 1, f: 1, s: 1, m: 2, p: 1, u: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r**2 + 19*r + 8. Let q be w(2). Solve -c - 2*c = q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 40*w + 1320. Determine p(-31).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 18. Let p be u(-5). Is -7 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 122. Let f be m(10). What is the highest common divisor of f and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 299.63?\nAnswer: 2397.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67, 79, 97, 121, 151, 187?\n\"Answer: 3*m**2 + 3*m + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5170.18 - 191.68. Round b to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -294240138*i**5 - i**2 + 448200*i?\nAnswer: -17654408280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + -158 + 5 + -8 + -25?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6183144 and 28?\nAnswer: 43282008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**2 + i - 3. Let m be k(3). Let g be ((-2)\/(-6))\/(1\/27). Calculate the greatest common divisor of g and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2252*s**2 - 4070*s + 56. Let r(m) = -451*m**2 + 814*m - 12. Let i(j) = -3*q(j) - 14*r(j). What is the second derivative of i(t) wrt t?\nAnswer: -884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 10:18 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 77.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/(p**(-10)\/p))\/(p**2\/p)**17 assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*u + 17 = 0, 0 = -6*n + 10228*u - 10227*u + 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-606)\/8 - (-138)\/368*2\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 6*g**2 + 4*g - 22. Let k be w(6). Let h be 6 + 2 + (-2)\/k*4. Solve -y + 2 = -2*l, -7*l + h = -3*l + 2*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from llixexemmnem?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455 is divided by 1327.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**3 + 4*m - 1. Let i(c) = 30*c**3 - 21*c + 6. Let s(f) = -f**2 - 59*f - 329. Let g be s(-53). What is g*w(z) - 2*i(z)?\nAnswer: 6*z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 30) + 24 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 4 (b) -0.3 (c) -1 (d) 5 (e) 5\/1974 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -99. Suppose 88 - 187 = -n*t. Solve -t + 1 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -2110221201?\nAnswer: 2110221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, -0.05, -0.5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {q: 2, i: 4, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 4*m**5\/5 + 36*m**4 - 152*m**3 + 232*m**2 - 156*m - 2582. Factor f(y).\nAnswer: 4*(y - 1)**3*(y + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2 + j - 4*j + j + 2*j**2 - 5*j**3. Let r(g) = -10*g**3 + 5*g**2 - 5*g - 5. Let l = 838 - 836. What is l*r(f) - 5*x(f)?\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 192 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -9. Let g = v + 4. Let b = g - 0. What is the nearest to b in 0.4, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4683.909816 to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/70 + 2\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75460 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597359 to the power of 1\/2, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 1.96. Let u = 0.42 - 0. Let m = u - -0.58. What is the nearest to m in -3, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15026 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(7\/(-7))\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r - 362*r**3 + 711*r**3 - 16*r - 363*r**3.\nAnswer: -14*r**3 + 42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.084.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 558 and 18009264?\nAnswer: 54027792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024 - 2*o - 512 - 512.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 6*f - 15*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 6. Let b(n) = -2*n - 7. Let k(r) = -4*b(r) - 3*c(r). Let h be k(6). Solve h*o = -3*p, 0 = -3*o - 2*p - 3*p + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n - 4*n)*(-2*n + 2*n**4 + 2*n) - 5*n**5 - 29*n**5 - n**5 - 3*n**5 + 5*n**5 - 3*n**5 + (-4*n**4 + 6*n**4 + 0*n**4)*(-1 + 1 + n) + 5 - 5 + 2*n**5.\nAnswer: -36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 964.5 + -964. Sort -1, v, 30, -3\/7.\nAnswer: -1, -3\/7, v, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7243 + -7244. Put 60, r, -4, -2 in decreasing order.\nAnswer: 60, r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2604*x - 125227. Give n(-48).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65.2 - -16. Let n = -107 - -62. Let i = v - n. Round i to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1029 and 1029.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -3. Let t be 606\/x + (-6)\/14. Let i = t - 13. Solve -2*c + i = 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*m + 54386 = -685*m + 4196 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 4*t + 851. Let r(l) = l**3 - 3*l**2 + 6*l + 853. Calculate 3*f(s) - 2*r(s).\nAnswer: -2*s**3 + 847","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*((-560)\/(-48) - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-130)\/(-30))\/13 - 2\/6. What are the prime factors of b\/((-6)\/1) - -37*3?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + o + 2. Let u(c) = -6*c**2 + c + 2. Give -2*k(a) + 3*u(a).\nAnswer: -4*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 11, -173, -4, 54, 1\/2, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 406218 - 231598. Round b to the nearest 1000.\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 10*s**5 + 222402*s**4 + 204654318*s**3\/5 + 9373427518*s**2\/5 - 7597260768*s\/5 + 305205912 = 0.\nAnswer: -22055, -93, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(153))*1)**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose 3*x + x - 76 = h. Solve -2*f + x = -5*p, -p - 13 = -4*f + 4*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -10*t + 758. Let k(q) = -q + 5. What is g(i) - 8*k(i)?\nAnswer: -2*i + 718","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4553 - -4525. Let q = 7 - 9. Are n and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 46 = 3*w, 5*m - 27525 = 3*w. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25250542 - 1?\nAnswer: 25250541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -668 or -3925?\nAnswer: -3925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22539 and 234?\nAnswer: 1758042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192 times 0.231576?\nAnswer: 507.614592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 14, 8, 0, 5 in decreasing order.\nAnswer: 14, 8, 5, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (312\/(-18))\/((-1)\/24). Suppose -x = 4*c + 224. Let z = c + 234. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9\/(-6))\/(((-102)\/560)\/17) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u - 4*t + 3*t, u - 2*t + 10 = 0. Let y(j) = -j + 30. What is the units digit of y(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*3\/(-3) + 6. Let v(r) = 3*r + 105. Let h be v(-33). Find the second derivative of -z*m + 7*m**2 - h*m**2 + 3*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14912292 by 318.\nAnswer: 46894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 24911901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a**2 + 9*a**2 - 13*a**2 as t*a + q*a**2 + m and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Let t be (4 - j) + (6 - -1899991). What is t rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/4 (b) -4 (c) 1400 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 2. Let m(z) = -z**3 - 1. Suppose y - 4*d + 6 = -2*d, -y + 1 = 5*d. Calculate y*m(w) + f(w).\nAnswer: 2*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*y - 6 - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -1951\/63. Is 1 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from iicccccccccncci.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 + 16.9. Let r = n - 12.35. Let s = -0.6545 + r. Round s to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46011 + -73411?\nAnswer: -25400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-2.7794\nAnswer: -0.83382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((f*(f*f**1)\/f)\/f)\/f)\/f*f*f*f)\/f)\/f)**(-9)\/(f**(-10\/3)\/f*f*(f\/(f\/f**(-6)))\/f))**(8\/5) assuming f is positive.\nAnswer: f**(248\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -558b?\nAnswer: 5589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-30))\/(2\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10470*g - 1589*g - 724076 + 60831 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 13 + 3 = 0. Suppose h + 1 - b = 0. Solve 0 = -r - 2*s + 11, 2*r + h = -5*s + 31 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287712 is divided by 71925.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.32, 3\/5, -0.2, -3\/16, 1.9 in increasing order.\nAnswer: -0.2, -3\/16, 0.32, 3\/5, 1, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 3*u - 6551*u**3 + 6543*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)\/l*l)\/l)**(-34) assuming l is positive.\nAnswer: l**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - -5 - (8 - 26).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0302909 litres?\nAnswer: 30.2909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1914 and 381640116?\nAnswer: 381640116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 21*t - 3)*(0 + 1 + 0)*(-2*t - 2 + 0 + 3) to the form y + f*t**2 + r*t and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 68 = 2*y. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**8\/28 - r**7\/105 - r**4\/6 - 2*r**3\/3 - 16*r**2. What is the second derivative of a(z) wrt z?\nAnswer: -240*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = 12. What is the hundreds digit of 468 + (4\/h)\/((-2)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -1\/2*f**3 - 1\/6*f**4 + 0*f + 0 - f**2. Let h be p(-2). Solve 0 = h*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 + 0\/(3 + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 15, -37, -99, -171, -253, -345?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c - 1326 - 1554 = -36*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*a - 0*t - 3*t, 4*a + 5*t = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2472552 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1560 and 37\/2028.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3096, -3071, -3046, -3021, -2996?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/18*3*(-8)\/(560\/(-45))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/40)\/((-24)\/192)*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6574, -26611, -59998, -106729, -166798?\nAnswer: -240199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1197)\/(-1995))\/((-69)\/((-20)\/(-8)*3)).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1115 - 110113?\nAnswer: -111232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.3 + 40.9. Let r = 9 + -6. Which is the nearest to -1\/4? (a) m (b) r (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -601, -2071, -4945, -9691, -16777, -26671?\n\"Answer: -78*v**3 + 12*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12617 and 91760.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5332628547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 4. Let y = 32 + n. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3*q**5\/70 - q**4\/42 + 3*q**2 - 2. Let z(o) be the second derivative of u(o). Solve z(l) = 0 for l.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12314 - 12310. Which is the smallest value? (a) 0.5 (b) j (c) -0.31 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u**2 - 333*u + 333*u + 122*u**2 - 83*u**2.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1952 and 16?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/624 and -29\/1644?\nAnswer: 85488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(11) + sqrt(11)*-2 + sqrt(11)) - 1*sqrt(1331))**2 - -2*sqrt(99)\/sqrt(81)*4.\nAnswer: 8*sqrt(11)\/3 + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1797, 4608, 9293, 15852, 24285, 34592, 46773?\n\"Answer: 937*h**2 + 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o + 6. Suppose 3*u = -u. Let h be n(u). Let s = -8.8 - -11.8. Which is the third smallest value? (a) 5 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uda when three letters picked without replacement from {a: 2, b: 1, w: 1, d: 1, u: 1, j: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19188821*r**2 - 100954926*r wrt r?\nAnswer: -38377642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -758*f - 6 + 243*f + 252*f + 4 + 255*f. Let h(z) = z. What is a(w) - 3*h(w)?\nAnswer: -11*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7 + 54*u**2 + 65*u**2 - 103*u**2 + 2*u. Let f be r(-3). What is the greatest common factor of 87 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**7\/840 - l**6\/60 + l**4\/3 + 3*l**3\/2 + 6*l**2. Let i(y) be the first derivative of z(y). Is i(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 614*i**3 - 394*i**3 + 4952*i**3 + (0*i - 2*i**2 + 0*i)*(1 - i - 1) as q*i**3 + p + u*i + l*i**2 and give q.\nAnswer: 5174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17384 + 17387. Solve 18*a**4 - 6*a**3 + 27\/2*a - 15*a**2 - p - 15\/2*a**5 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157298.\nAnswer: 2, 78649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1 + sqrt(108)) - sqrt(108)) + 3*sqrt(108)*-2 - -3*(sqrt(108) + 1 + -3))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-18 + 8 - (3 + -18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6101 or -6100?\nAnswer: -6101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/3)\/(y\/((y*y\/y**(-2\/57))\/y*y*y))*(y\/y**(-2\/21))**(-18) assuming y is positive.\nAnswer: y**(-6389\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 493 = -547. Suppose 0 = 3*l + 2*l + w. Let z(c) = 8*c - 8. Let y(q) = -q + 1. Let n(k) = l*y(k) - 6*z(k). What is the derivative of n(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 9*p**2 + 8*p + 7. Give n(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 2*a + 1. Let i(w) = -w**3 + 12*w**2 - 14*w - 4. Let f(m) = i(m) + 4*l(m). Determine f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4042771?\nAnswer: 193, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 + 225 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 80.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1824.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2067 - -3800. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/((-4)\/3))\/1. Let h = 1.01 - 0.902. Let t = 3.108 - h. Put u, t, 3\/4 in ascending order.\nAnswer: u, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/7 - 30*h**4\/7 - 158*h**3 + 16286*h**2\/7 + 35760*h\/7 + 18400\/7 = 0. What is h?\nAnswer: -23, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5166 is divided by 1779?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 6. Let g be h(0). Let o be 24\/28*28\/g. Suppose -3*w + o*n = -n + 16, 4*w + 3*n = 27. Solve -2*m = -3*m - 3*z - 10, -2*m - w*z = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -773 - -6205\/8. Let h = -10608163\/72 - -147338. Let u = y - h. Put u, -2\/3, -1 in decreasing order.\nAnswer: u, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-31 - -26) + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*(-81)\/972?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 21*v + 11. Let y(n) = -5*n**2 - 22*n - 11. Let i(b) = 3*p(b) + 2*y(b). Let o be i(-9). Solve 0 = -o*x - 2*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-2)\/8). Suppose 2*p = -2*t - 0*t - 14, -t + 5*p = 37. Let v = w - t. What is the least common multiple of v and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*m + 16, -5*v = 2*m + 3*m + 5. Suppose v*x - 84 = -4*l, -5*x = 3*l - 240 + 37. Calculate the highest common factor of 16 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 4*c + 3*c)*(0 + 2 + 0) + c - 2 + 2 - 54*c - 9*c + 17*c + (-2 + 2 + 6)*(-2*c + 2*c - 2*c) in the form m*c + i and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01388078 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-182)*-13 - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/((-6)\/4). Let i be 2*n + 1 + -2. What is the highest common factor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 3*l + 5. Let f be u(-4). Let n = f - -8. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 9*p - 29. Let v be q(3). Solve -5*k + 3*a + v = 0, -5 = a - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1775 is divided by 177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*w**2)*(-18 + 16 + 27)*(-1 - 5 - 2)*(0 - 1 + 3)*(-3*w + 3*w - 2*w) as r + y*w + o*w**3 + p*w**2 and give o.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhghg. Give prob of sequence hh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113997 and 696?\nAnswer: 26447304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 7, f: 9}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 + 510. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 22*h**3 + h**2 - 2*h + 1. Let o(v) = 2*v - 3. Let a = 78 + -73. Calculate the smallest common multiple of o(a) and d(1).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83528*r**2 - 41632*r**2 - 41524*r**2.\nAnswer: 372*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -230*k + 31. Let v(m) = -115*m + 15. Let u be (102\/44 + (-4)\/(-22))*2. Let l(r) = u*v(r) - 3*x(r). Is l(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 4\/3, -3\/744442?\nAnswer: -3\/744442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 10, 4, -1485, -4.\nAnswer: -1485, -4, -3, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - 4*a. Let t(k) = -5*k**2 + 3*k. Give -6*t(d) - 5*v(d).\nAnswer: 5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 89 = 209 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 16.18?\nAnswer: 64.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328 - -341. Solve -3*b - 3 = -3*d, -2*b + d = -4*b + l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23222302 (base 4) in base 2?\nAnswer: 1011101010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -439 at least as big as -442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -98*n**2 - 3541*n - 24683. What is q(-7)?\nAnswer: -4698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 877840.6 decades in months?\nAnswer: 105340872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*z**3 + 34*z**2 + 36*z**3 + 33*z**3 + 77*z**3 wrt z?\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22097 and 61104?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -3901077.\nAnswer: -17\/3901077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*t - 2 - 19, 0 = -4*t - 12. Let a(u) = -2*u**3 - 4*u**2 - 2*u + 2. Let c be a(i). What is the highest common factor of 52 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-884)\/34 + 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493307027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 728 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2. Let j(b) = -b**2. Let w(s) = -10*s**2. Let h(f) = 15*j(f) - w(f). Determine t(h(l)).\nAnswer: 75*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2c51ca (base 14) to base 12\nAnswer: -6294ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(5\/3)*(((d*d**3*d*d*d)\/d)\/d)\/d)**(2\/31)\/(((d**(-2\/5)*d)\/d**(-2))\/((d**(-1\/5)\/d*d)\/d*(d*d\/(d**(-5\/2)\/d*d*d))\/d)) assuming d is positive.\nAnswer: d**(-809\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17875679 divided by -2?\nAnswer: 17875679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -23.\nAnswer: 19\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c + 1. Let s be q(-1). Let g be (-82)\/(-70) - (-6)\/s. What is the nearest to 5 in 0.1, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6404359 - -12204359. Round o to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 15. Let r be p(-6). Is (1\/r)\/((-12)\/(-15192)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 21 = -0. Let s = p - 19. Let m(w) = 8*w**2 - w + 3. What is the units digit of m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1112022022000220?\nAnswer: -1112022022000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -0.1.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/15 and 29\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1632624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 18. Let f be u(13). Let a(j) = 45*j**2 - 8*j + f + 18 - 43*j**2. List the prime factors of a(9).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 438, 444, 466, 510, 582?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(38) - sqrt(342)\/(sqrt(9)*2)))\/sqrt(2))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -7)*20\/14. Suppose d + 3*d = l + 8, 5*d - b = l. Calculate the greatest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -16*x + 98. Let a be t(6). Suppose -5*g - a*q + 564 = 0, -6*g + 129 = -5*g - 5*q. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.3? (a) -3 (b) 1 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.28663*3\nAnswer: 0.85989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6721*w - 3188*w + 2 - 3385*w)*(0 - 7 - 3).\nAnswer: -1480*w - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 5*z + 210, -25369*b = -5*z - 25372*b - 210 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/427 and -64\/75229.\nAnswer: 4588969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481 = 84*q - 23. Calculate the least common multiple of 1023 and q.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 1862*q + 298693. Calculate v(-725).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20623078834 and 0.6?\nAnswer: 20623078834.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -5.303950848?\nAnswer: 6.303950848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1166 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.5, -0.3, 5, -0.575, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**7\/28 - h**6\/20 - 3*h**5\/40 + h**4\/8 - 15*h. Factor x(w).\nAnswer: 3*w**2*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 4*w\/13 - 16\/13.\nAnswer: 2*(w - 2)*(w + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 2. Let p be ((-145)\/30 - -5)\/(2\/12). Let m = -0.172 - 0.028. What is the closest to p in v, 3\/7, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 65. Let k = 25625250 + -25625223.999979. Let l = a - k. What is l rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435.7 - 0.08\nAnswer: -435.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1920)*-3)\/(sqrt(66)\/(sqrt(11) + -1*sqrt(176))).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2*10)\/(205\/246).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*s - 287 + 287)*(0 - 5 + 2).\nAnswer: 81*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, q: 15}. Give prob of picking 3 p.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 2, u: 1, e: 3, f: 3, v: 3}. What is prob of picking 2 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -967\/170 - 41\/17. What is the common denominator of -43\/5 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 155*c - 1091. Let b be p(7). Let z(q) be the second derivative of q**3\/3 + 9*q**2\/2 + 3*q. Let n(t) = -t - 5. Calculate b*z(w) - 11*n(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*d - 60 + 34 + 134*d + 39.\nAnswer: 2*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -16*n**3 + 39*n**2\/2 + 27*n. Let w(u) = -12*u + 5. Let s(p) = 6*h(p) - 51*w(p). What is the derivative of s(q) wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8365759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 193717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 667 + 470. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28032 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 2. Let q be p(-11). Suppose v - 5*n + q = 0, -v - 5 = 3*v - 5*n. Suppose -5*c - 2*h + v*h = -75, 45 = 3*c + h. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:19 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 32 = 2*x - c, x - 5*c = 12. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 56 + 51*y)*(-2 - 5 + 4 + (-2 + 3 + 0)*(-2 - 1 + 2) + 1 - 4 + 1).\nAnswer: -306*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47470 + -47446. Calculate the greatest common factor of f and 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*k - 2*k + 9, -4*k + n + 19 = 0. Suppose -9*z + k*z = -57. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3495\/23 greater than or equal to -189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49.33742 + -49.29. Round n to 3 dps.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.81 + -0.39. Let h = -0.8 + i. Let a = 4.2 + h. Put 3\/2, a, -5 in descending order.\nAnswer: 3\/2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75) + 5)**2 - ((1 + sqrt(75))*-3)**2.\nAnswer: -573 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l - 491 + 491)*(2*l - 4*l + l) to g*l + k + a*l**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -101. Let b = 46 + o. Let f be ((-2)\/(-4))\/((-5)\/170). Is f > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4156, -4336, -4636, -5056, -5596?\n\"Answer: -60*g**2 - 4096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/2, 2, 10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 112202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -1, 0.87?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (208\/156)\/(4\/3)*2\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -6138 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32625 divided by 1305?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 2\/5, -2\/71, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 356111810036 + -356108890726.99858. Let y = -2919354 + a. Let d = y - -45. Round d to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) + (-1)\/(-4). Let v = 341 + -338. Solve 2*r - 4*t - 28 = 0, -t + j + v = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.9 + -25. Which is the closest to -3? (a) 2\/15 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -122*m + 752. Calculate d(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 + k**2 - 6*k - 33 - 25 - 37 to the form h*k**2 + l + q*k and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2. Suppose 3*d = 6*d - 12. Suppose -d*q = 4*g, 12 = 3*g - 6*g. Let v(y) = 14*y - q*y - 15*y. Give v(c(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 6, v: 6, g: 5}. Give prob of picking 2 g and 1 h.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i\/(i\/i**(2\/9)*i*i))\/i))*(i**(-1)*i)\/i*i**(-5)\/i*i**(1\/6))**45)**(-1\/6) assuming i is positive.\nAnswer: i**(865\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdgdggrg. Give prob of picking 4 g.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*m + m. Suppose -7*q + 3*q + m = 0. Is q at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0608536207 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32869323 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: Collect the terms in 480103*o - 136*o**3 - 480103*o.\nAnswer: -136*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 1, u: 1, x: 1, g: 1}. Give prob of sequence gxgx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/12 (b) 3\/7 (c) 3\/4 (d) -7 (e) 3\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let s(u) = -29*u**3 - 145*u - 145. Give 145*o(f) - s(f).\nAnswer: 29*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 77. Suppose 11 - r = -4*l. What is the third derivative of 343*q**2 - 3*q - 27*q**4 + l*q - 337*q**2 wrt q?\nAnswer: -648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/9*(-36)\/10. Suppose 2*h = z - 4. Solve -h*l = 2 + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + (-2177)\/546. Let h = 25\/6 + y. Let k = -1.2 - -1.5. Put k, -1\/6, h in descending order.\nAnswer: k, h, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (1 - -1) + 25 + -31.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 45*a + 780 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1\/4, 84, 40146?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 2.46, 0 in ascending order.\nAnswer: -31, 0, 2.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 26417.095\nAnswer: 1320.85475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2459\/2585 + 67\/235. What is the common denominator of g and -69\/80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-33 + 123)*(-2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 5, -4596, 9, 0, 2 in decreasing order.\nAnswer: 37, 9, 5, 2, 0, -4596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27216 - -241?\nAnswer: 27457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 7. Let q(m) = -9*m - 15. Let u = -10 + 14. Suppose 0 = u*h - 23 + 7. Let n = h - 10. Determine n*q(g) - 13*a(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.17, 366, 2.3 in increasing order.\nAnswer: 2.3, 8.17, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**7\/420 + u**4\/12 - 10*u. Let z(g) be the third derivative of x(g). Give z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*v = -31, 0*u + 11 = -3*u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*i**2 - 25*i**2 - 35*i**2 + 1 to the form d*i**2 + t*i + u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-112)\/(-49))*(-21)\/(-6). Let q(x) = 2*x**2 + 9*x - 6. Let b(a) = -5*a**2 - 19*a + 13. Calculate m*b(t) + 13*q(t).\nAnswer: -4*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 3*s**3 - 7*s**3 - 1 + 8*s**3 as i + c*s**2 + k*s + v*s**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 0*d**2 - 2*d**2)*((-4 + 2 + 7)*(-2 + 2 + 12*d) + d + 0*d - 2*d + (2*d - 3*d + 2*d)*(1 - 5 + 2)).\nAnswer: 57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q**2 - 3*q + 3. Let j(g) = 3*g**3 - g**2 + 5*g - 5. Let z(a) = 5*c(a) + 2*j(a). What are the prime factors of z(10)?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2432959522 - -2432959420.9999943. Let c = l - -101. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/20 - 7*i**4\/12 + i**3\/2 + 5*i**2 - 13*i. Suppose 0 = 4*w - 2*b + 6 + 28, -3*w - 24 = -b. Determine m(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 2. Let u be (2\/k)\/(7\/(-84)). Suppose 0 = -u*l - 4, -3*l = -2*j - 4*l + 29. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2249, 1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3769665 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-606)\/(-27) - (-4)\/(-9). What is the greatest common divisor of j and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 20*i**2 + 0*i + 0 + 1\/30*i**5 - 1\/3*i**3 + 1\/8*i**4. Determine j(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88675738847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*d + 19 - 3460, 0 = 2*d + 4*q - 2318. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1124*t + 705*t - 3684*t to p + r*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1486*f = -5155*f + 577767 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -13, -60, -159, -328, -585, -948, -1435?\nAnswer: -2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-4))\/((-63)\/126). Solve f = -c, -17 = 3*m + 4*c - 3*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a9 (base 14) in base 5?\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 134930, 134920, 134918, 134930, 134962?\n\"Answer: x**3 - 2*x**2 - 11*x + 134942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108524516539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 + (93 + -9 - 223).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (0 - -8) + 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194.99 - -196. What is d rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40708, 40680, 40644, 40594, 40524?\n\"Answer: -k**3 + 2*k**2 - 27*k + 40734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**2 - 1. Let h be l(1). Let t = -4 - h. Let c(o) = o**2 + 7*o - 5. Is c(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1262*a*x**2 - 8*a + 9572*x**2 wrt a.\nAnswer: -1262*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 2*k**2 - 3*k - 8. Let v(j) = j**3 - 2*j**2 + 1. Let r be v(2). Let m be u(r). Let h(n) = -8*n + 1. Determine h(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -48 - -42 - (4 - 6). Suppose 6*p = p + 5. Suppose -6*t + 25 = -t. Sort j, p, 0, t in increasing order.\nAnswer: j, 0, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xoxooxxxxooxfooxxox.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:14 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000527348031 to seven dps.\nAnswer: -0.0005273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/436 and -103\/44.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 2. What is the smallest common multiple of u(2) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3572 and 18048.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 19 + 4876*k + 4877*k + 4880*k - 14636*k. Determine m(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {s: 3, e: 2, v: 12}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, 0.16, -5, -0.4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaggdgxagwdgdadag. What is prob of picking 1 w and 2 a?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-1 - (-22)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:30 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16934050 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 76 = 3*f, 0 = 4*f - k + 2*k - 76. Put 2, -6, 0, f in decreasing order.\nAnswer: f, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*u + 4*u - 4, -4*u - 8 = 0. Suppose -h*x = -2*x. Suppose x = 4*s + s - 75. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1 + 3*h + h - 3*h. Let s(r) = -8*r. Let w(y) = -2*y - 5. Let l be w(-4). Let t(i) = l*m(i) + s(i). Calculate t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 + -157. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -7*y**5\/5 + 23*y**4\/2 + 634*y - 901. Find the first derivative of d(b) wrt b.\nAnswer: -28*b**3 + 138*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21582\/529 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -289*u. Let v(n) = -n**2 + 2*n + 2086. Calculate v(s(k)).\nAnswer: -83521*k**2 - 578*k + 2086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from zzzhhzzuuuuzzzzz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -7*p**4\/24 - 8*p**2. Let m(o) be the second derivative of 2*o**3\/3 + 5*o - 4. Give m(w(q)).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1364 * -272724.\nAnswer: -371995536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3 + 111*l - 110 = 0.\nAnswer: -11, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996447?\nAnswer: 3, 37, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1444856 from -0.12930434.\nAnswer: 1444855.87069566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/9 + 4)*-12. Let t(g) = -g**3 + 3*g**2 - g - 46. Let p be t(0). Let m be 4\/((-60)\/(-9))*(-31 - p). Solve 13*y - m*y - j = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b + 9. Let x(k) = -3*k + 5. Let u(j) = -2*n(j) + 5*x(j). Let v be u(9). Let r(t) = -t**3 - t**2 + 2*t + 2. What is the units digit of r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42776 < 42776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k - 11*k - 9*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - l)*(25 + 0 + 11) + (-3 - 1 + 3)*(-80*l + 155*l - 77*l - 87).\nAnswer: -70*l + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p, -2*k + p - 15 = -0*p. Let d(i) be the second derivative of -i**5\/20 - 7*i**4\/12 + i**3\/6 - 3*i**2 - 12*i. Give d(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003110 (base 4) in base 12?\nAnswer: -25b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 1. Let z(x) = -10*x - 40. Let g(c) = -3*f(c) - z(c). Calculate the least common multiple of 84 and g(-21).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 6*j - 7. Suppose 0*c - 4*c = 36. What is the remainder when t(c) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2492*y + 2566*y = 592 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.004198 + 0.0035. Round j to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -4.9, 0.5, 196 in decreasing order.\nAnswer: 196, 0.5, -1, -4.9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*h - 2*b - 3*b, 3*h - 3*b + 6 = 0. What is the units digit of 2\/(h\/(-12)*-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -4*w, -3*w = 5*d + 49 - 57 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/11 - 6*g\/11 = 0. What is g?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 2. Let d be o(0). Suppose -d*t = -7*t + t. Solve 0 = 2*m - 2, -x = -t*x + 3*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05150374 to 4 decimal places.\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - y - 4*z - 12 = 0, -20 = 4*y - 2*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 + 18 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81 - 1560 + 3340*w + 1168*w wrt w.\nAnswer: 4508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(3)*-5)\/(sqrt(8)*1*1))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1859 and -50\/290147.\nAnswer: 3771911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 10.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12989 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**14\/g**(2\/3) assuming g is positive.\nAnswer: g**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61\/5 + 991\/80. Calculate the common denominator of 43\/6 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -26, 8, 66, 154, 278?\n\"Answer: r**3 + 3*r**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 - i + 2. Let r be o(2). Let j(a) = -4*a + 10. Let q be j(-5). Calculate the greatest common factor of q and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 6.974414.\nAnswer: 20.923242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 781*b**2 + 122*b + 43. Is p(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5646 (base 11) to base 16.\nAnswer: -1d07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54273 is divided by 13013.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 195343552*u**2 - 2384944347435600*u + 9539774264245824.\nAnswer: -4*(u - 24417942)**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 12) to base 11.\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**2 - 3777*m + 1887 = 0. What is m?\nAnswer: 1\/2, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6118 is divided by 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = 5*h - 44, 5*g + 2*h = 48. Suppose -f - g*f + 45 = 0. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-25))\/((-3)\/(-15)). Solve 3*s - 12 = 0, 3*s = u*g + 4*s - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66614 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*x**5 - 5*x**4 + 75*x**2 wrt x?\nAnswer: 480*x**2 - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 109039, 6\/13, -2?\nAnswer: 109039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 + 8*p**3 + 9*p**3 - 29*p**3 + 5*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674326519.\nAnswer: 107, 6302117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6163.53838 rounded to the nearest 10?\nAnswer: -6160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6460000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/463606 and -103\/352?\nAnswer: 7417696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + 3*(sqrt(153) - (sqrt(153) - (sqrt(153) + 2 + sqrt(153) - sqrt(153) - sqrt(153) - sqrt(153))*-2)))**2.\nAnswer: -360*sqrt(17) + 5608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Let s be m\/(-6) - (-36)\/27. What are the prime factors of 20\/15*(2 + s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28094 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18051\/26 greater than or equal to -695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*u + 182*u + 4074 = -119*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -1\/3*a**3 + 36 + 0*a**2 + 0*a. Let k(v) = 0 - 6*v + 0. Give k(w(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1756111034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104708683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -532*k - 3. Let h be v(-8). Let g = h + -26253. Round g to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339 + 1346 - 2685 + 2952*c - 2938*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 3*r - 5. Let p be b(1). Solve 4*c = p*c - 12 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 0.01. Let l = -0.3 - m. Let p = l - -0.6. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/12)\/(1\/(-24)))\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(3*1*(-4 + sqrt(242)*2*6 + -3))**2*3.\nAnswer: -1884441 + 99792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b + 0*b - 7*b - 2 + (b + 0*b - 2*b)*(-1 + 1 + 3).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 895 - 890. Suppose j*m - 491 = -5*s + s, -5*s + 193 = 2*m. Calculate the greatest common factor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.8 - -3.9. Let r = 1 - -2. Let j = -3 + r. What is the nearest to j in -3, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 312*a = -17*a + 31*a - 2937 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/5 - 2367*l**2\/5 + 4731*l\/5 - 473 = 0. Calculate l.\nAnswer: 1, 2365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38436 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-12))\/((-222)\/296)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161 and 9.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43749 + 5687237\/130. Calculate the common denominator of g and -103\/208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264404 and 1729.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 7*r**3)*(r - 2*r - 2*r)*(-r - 3*r + 3*r).\nAnswer: 21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6629 is divided by 6613?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - 4*n)*(3*n - 2 - 1 + 7).\nAnswer: -6*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 2*l + 3*o, o - 2*o - 1 = 0. Let v = 12 - 2. Suppose 0 = 5*n - l - v. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15473*r**3 - 15468*r**3 + 30949*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-3*z**5 - 3*z + 3*z) + (-3 - 2*z + 3)*(-2*z**4 + 0*z**3 + 0*z**3).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 85 = 5*x, x = 2*f + 3*f + 194 - 184 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3500426*h**3*y + 16*h**3 - 3*h**2*y + 3243*h*y - 1933*h - 5*y + 1 wrt h.\nAnswer: 21002556*h*y + 96*h - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -464960918.\nAnswer: -464960921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7279, -11659, -16035, -20407, -24775?\n\"Answer: 2*p**2 - 4386*p - 2895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-6)*(-5 + 2). What is the remainder when (-1)\/d - 1512\/(-35) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*g + 4*t, -t - 27 = -4*g - 6. Let b be (51\/(-21) + 24\/56)\/(4\/(-6)). Solve g*r = b*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 4. Let a be z(0). Is a\/1*(-75)\/60 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 826483 and 3430.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 79*g**2 + 165*g - 160. Let k(t) = -t**3 + 39*t**2 - 82*t + 79. Let w(h) = -6*j(h) - 11*k(h). Determine w(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j. Suppose -p - 1 + j = 0, 3*p = -4*z + 17. What is the second derivative of -y + 4*y**5 - 6*y**z - 3*y wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1112)\/(-1251) + -47*(-4)\/(-90) + 104\/45?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.18301639 + -2.183. What is r rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-6 + 166926\/11137))\/((-36)\/56)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320089622 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 4. Let x(s) = s**2 + s + 7. Let r(h) = h**2 - h + 7. Let t(a) = 2*r(a) - 3*x(a). Calculate t(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:33 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28697 + 31396. What is the remainder when k is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/13 + 138*j**2 + 41262*j + 4112446 = 0. Calculate j.\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1715 + 209a5?\nAnswer: 2260a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p - 145. What is the units digit of m(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1\/((-216)\/(-32) - 7). Let z(v) = -v**2 + 6*v + 3. Let u be z(6). Suppose -3 - 6 = u*n. Sort n, b, 8 in decreasing order.\nAnswer: 8, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) 161 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 706 + -1812890276.\nAnswer: -1812889570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-102)\/(-30) - 4\/10)\/1. Suppose 0*s = -4*s + 2*c + 6, -y*s = 2*c - 22. Suppose 0*j + s = 2*j. What is the smallest common multiple of 11 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -760278, -760207, -760014, -759639, -759022, -758103, -756822?\n\"Answer: 10*x**3 + x**2 - 2*x - 760287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -458330*u + 40. Suppose -x - 335 = 4*x. Let a = 55 + x. Let g be v(a). What is g rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/30)\/(3218\/(-48270))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52 - (122 + -45)) + -5 + -1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + (sqrt(76) - (1*sqrt(76)*3 + sqrt(76))) - sqrt(76)) + sqrt(76))*6 - -5*-3*-2*sqrt(76))\/(-3*1*sqrt(196) - sqrt(196)*-3*3).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6860 and 5863928?\nAnswer: 29319640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229752.9963 + -229833. Let f = b - -80. What is f rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhsumhmhmusuusss. Give prob of sequence mu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/31, 0, -1, 0.64, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 12 - (20 - (5 - 8 - -4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, u: 3, m: 2, k: 2}. Give prob of sequence mkmo.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233 + 240. Suppose -2*q - 8 = -2*d, 3*d + 22 = s*d + 2*q. Solve -20 = -5*a - d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3769?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2127494 - 65959720\/31. Let w = -239 - i. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1137\/(-15))\/(19\/(-665)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 45 + 603. Suppose 96*v = u*v + 20499. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -15. Let b be 8\/(-3) + (-1)\/3. Let t = p - b. Calculate the remainder when 54 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*r + 4, -269*r + 6 = 9*j - 272*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 11*d. Let t be b(5). Suppose -t*m + 72 = -6*m. Put 4, -5, m, 22 in descending order.\nAnswer: 22, 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*m + 9. Let r(k) = k**2 + k - 3. Let y be r(-3). Put y, m, -2 in ascending order.\nAnswer: -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -509\/20 - -105\/4. Let i = 23.9 - 24. Which is the closest to 0.1? (a) i (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100879840 >= 100879839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(132) + (sqrt(132) - 3*(sqrt(132) + (sqrt(132)*2 - sqrt(132)) + sqrt(132) + sqrt(132))) + sqrt(132))\/(-6*sqrt(48)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 0.66, -0.4, 0.01, 4 in decreasing order.\nAnswer: 4, 0.66, 2\/19, 0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**4 - h**3 - 7*h**2 - 5*h. Let o(x) = -7*x**2 + 4*x**2 - 3*x**2 + 2*x**4 - 2*x - 2*x. Let j(f) = -5*o(f) + 4*y(f). Determine r so that j(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 23*b - 75. Let d be n(-26). Solve 3*w + 15 = d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6977812, -13955621, -20933430?\n\"Answer: -6977809*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-5))\/((-1)\/5). Let d(r) = -57*r**3 - 1. Let w be d(-1). What is the highest common factor of w and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqnnwxwm. What is prob of picking 1 q and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 150\/7*d**2 + 148\/7*d - 2\/7*d**5 - 150\/7*d**4 - 146\/7*d**3 = 0. Calculate d.\nAnswer: -74, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -72, -37, 50, 213, 476?\n\"Answer: 4*d**3 + 2*d**2 + d - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7144*n**2. Let r(l) = 3*l. Determine r(c(a)).\nAnswer: -21432*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/3)\/((12\/(-18)*-1)\/2)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdd when three letters picked without replacement from {d: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epapgpspjpppsg. What is prob of sequence sj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-902)\/9 - 6\/(-27). Is (-3 + k\/(-12))*6 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - 1024\/2016. Let f = 801\/7 + -114. What is the closest to -0.1 in f, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63*908\/14301*(-32)\/(-2)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) 2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/4 - x**3 - x**2 + x - 29. Let u be (6\/9)\/(2\/(-6)). Determine c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:16 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -13*k**3\/6 + 2*k**2 - 10*k. Is 23 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Let s(z) = 2*z**2 + 9*z + 5. Let g(f) = -s(f) + y(f). Let i be g(-4). Solve 2*p + p = -i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 + 2*d + 4. Suppose 0 = 4*v - 2*v - 18. Calculate the remainder when t(-3) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 + 218. Let k = -115 - s. Let c = 20.9 - -0.1. Are c and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)*(y\/(y**(-3)\/y))\/y*(y**(-2))**(-15))\/(((y\/y**(2\/15)*y)\/y*y**(-2\/23)*y)\/(((y*y**7)\/y)\/(y*y*y*y*y**(1\/3)))) assuming y is positive.\nAnswer: y**(36338\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61539 is divided by 3844?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -61. Suppose 8*b + s = 78. Differentiate 0 + b + 11*o - 33 wrt o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y**(-7\/2))**7\/((y**(-6)\/(y\/y**0))\/((y**(-1)*y)\/y)**15) assuming y is positive.\nAnswer: y**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 12 = 2*d. Find the common denominator of 13\/4 and (d\/(-6))\/((-9)\/151).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(2299)*2 + (sqrt(2299) - (1 + 2*sqrt(2299)))))**2.\nAnswer: -550*sqrt(19) + 57500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -2\/7, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {t: 4, n: 4, p: 1, e: 9, g: 2}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 940*j. Let g(i) = 21*i. Give w(g(a)).\nAnswer: 19740*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Suppose 2*m + 3*v - 273 = 0, -2*m = -3*v + u*v - 271. What is the units digit of 0\/(-1) - m\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**2 + 1030*t - 239. Determine v(-86).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3214 - -3220. Let a(k) = -k**3 - 4*k**2 - 2*k. Let f be a(-3). Sort 2, f, c in ascending order.\nAnswer: f, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 11*k**4\/2 - 380*k + 222. What is the first derivative of x(a) wrt a?\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 133 = -l - 2*l, -4*y - 185 = -5*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/5, 1\/2, -4, 1\/3, 1, -1\/3, -4519\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 430069 smaller than 430069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmb when four letters picked without replacement from {b: 2, m: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10344014 + 1421?\nAnswer: -10342043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 2, x: 1, u: 2, b: 1, p: 1}. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 = 5*h + 44*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(57)\/sqrt(3)*-6.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -43*p**3 + 66*p**2 + 155*p - 64. Give j(-3).\nAnswer: 1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 4*f + 1. Let k be l(-3). Let z be (3 + 114)\/13 - 9. Put z, k, 5 in increasing order.\nAnswer: z, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -168, -676, -1524, -2712?\n\"Answer: -170*a**2 + 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:40 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -699.4 times -11?\nAnswer: 7693.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 + 2*o**2 + 2*o - 7. Let z be v(4). Suppose 0 = 2*c - 2 - 40. Let s = c - z. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113374 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 l = -29356 - -29359. Let p(g) = 3*g**2. Let c(x) = -x**2. Give l*p(k) - 6*c(k).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2\/2 - f - 2. Let w be 36\/14*(-14)\/(-4). Suppose -w*d - 6 = -6*d. Give x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 31, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15905 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(9\/5)*n**(-42) assuming n is positive.\nAnswer: n**(-201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.997 + -0.103. Let z = -46.09777 - j. What is z rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t + 26. What is k(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 240 and -131.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b + 10*b + 16*b + b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8722809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 9*j - 3. Suppose 0 = u + 2, -5*u + 47 - 131 = -r. Suppose -10*a - 4 + r = 0. Give v(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 531.61054 and 38.\nAnswer: 569.61054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 1 (c) -25\/3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(-45)*146 + (-4)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c - 5. Let g(j) = 5*j - 5. Let v(u) = -3*g(u) + 2*z(u). Let r(d) = -d + 3. Calculate -5*r(l) + 3*v(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24004519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + c - 9 = 0, i + 4 = 4*c - 11. Suppose -5*f = -4*f + 5*u + 46, 0 = 2*f + 5*u + 67. Let m be f\/14*8\/(-3) + -1. Sort i, 4, m, -4 in ascending order.\nAnswer: -4, i, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1305 is divided by 280?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3096)\/645*50\/(-6). Calculate the highest common factor of 660 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72801900 rounded to the nearest ten thousand?\nAnswer: -72800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518644 and 70?\nAnswer: 2593220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 275*q + 35 - 509 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.663 + 0.663. Which is the nearest to -0.3? (a) 2 (b) u (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -497.68?\nAnswer: 497.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637131.\nAnswer: 3, 11, 43, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 at least 373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6395 divided by -5.\nAnswer: -1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g*z**4 + 2307217*g*z**2 + 19396089*g*z wrt z?\nAnswer: -96*g*z**2 + 4614434*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48917790 and 97835580?\nAnswer: 97835580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38810451983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3802.71 - 3730. What is s rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 7*y**2 - 16*y - 19. Determine x(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 61, 78, 99, 118, 129?\n\"Answer: -p**3 + 8*p**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 257*p**3 + 12*p**2 - 14*p - 7. Calculate k(2).\nAnswer: 2069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*k = 99, q + 6 + 15 = -5*k. Round q to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = 62. Let p be (24\/(-16))\/((-35)\/m). Let s = 20\/7 - p. Which is the smallest value? (a) -0.5 (b) s (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0 - 5*h**2 + 4*h**2 + 3*h + 0. Let c(o) = 2*o**2 - 7*o. Determine -4*c(p) - 9*l(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j**2. Suppose -u = -5*t - 124 + 192, t - 7 = -2*u. Let s(x) be the second derivative of 0 + 0*x**2 - 1\/6*x**3 - t*x. Calculate s(p(r)).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 + 37)*(-39)\/(-6). What are the prime factors of (b\/12)\/(4\/16)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/22771 and 99\/949876?\nAnswer: 6649132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/(-2) + 2 + -3. Which is the nearest to 1? (a) 0.2 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -125*y + 11. Let f(w) = -249*w + 27. Give -2*f(v) + 5*k(v).\nAnswer: -127*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4364\/5 + -56482\/65. Calculate the common denominator of 17\/4 and c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -55604.3 and -139730.\nAnswer: -195334.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + 16\/6. Let a(y) = 0*y**3 + y**3 - 5*y**x + 4*y**2. Let q = 21 - 22. Let v(s) = 5*s**3 - 4*s**2 - s. Give q*v(p) + 4*a(p).\nAnswer: -p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230\/15 - 259952\/6963.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102500000 rounded to the nearest one million?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19189\/5, -12, -3 in ascending order.\nAnswer: -12, -3, 19189\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*t + 5*n, 34 = -5*n + 49 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - -0.44. Let t = 0.13 + -0.53. Suppose 0 = 5*i - 3*m - 0*m - 29, -i + 1 = m. Which is the closest to 1\/6? (a) i (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 - (-81 - 71 - -113)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51207 is divided by 788.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14504507 to the power of 1\/2, to the nearest integer?\nAnswer: 3808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -26 + 4251\/156 + (-446)\/(-8). What is the greatest common factor of l and 912?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 239, 12, 2, -111.\nAnswer: -111, -3, 2, 12, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 7. Let m be g(10). Let d be -1*(-1)\/m*0. Suppose d = -r - 2*r. Solve -2*t + r*t = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -352?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250107*o**2*z**2 - 392*o**2 - 572*o*z**2 - 202448*z**2 wrt o?\nAnswer: 500214*z**2 - 784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -121 in descending order.\nAnswer: 8, -3, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 1. Let c be u(1). Suppose -j = -c*j. Suppose j = -b + 5, b + 4*b - 101 = -2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*l - 54, -d + 20 = -3*l - 1. Solve -7*m = -4*m + d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z - 3*s = -49, 5*s = -3*z + 139. Suppose -5*j - 9 = d, 6*d + 4*j - 39 = d. Calculate the remainder when z is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*f)*(-8025 + 15394 + 1935).\nAnswer: 18608*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**2 - 12261530*y - 49046200 = 0.\nAnswer: -4, 2452310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(6\/7)*x)**39\/((x*x**3)\/x**16) assuming x is positive.\nAnswer: x**(396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 654.9 - 687.004. Let l = u + 25.1125. Let q = 7 + l. What is q rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 60. Let m be v - (-1)\/((-5)\/15). Solve -p = 4*p + m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 d, and 1 a when four letters picked without replacement from agjdjjogqjqgqjj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -115. Suppose f = 3*p - 46 - g, -5*f = 4*p + 458. Find the common denominator of 103\/6 and 2 + f\/32 - -4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(1\/2)*f))*f**49*f**(-5)\/f**(-21))**(-8\/17) assuming f is positive.\nAnswer: f**(-532\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 7*l + 9. Let h be f(8). Is (2\/4)\/(h\/118) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 6\/7 (c) 3 (d) -0.0599 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z - 5. Does 7 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*m - 136*m + 51217 = -98930. What is the highest common divisor of 27 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + -1*sqrt(90))\/sqrt(6) - sqrt(15))\/sqrt(3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/523*4850\/9700.\nAnswer: -2\/523","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204735425?\nAnswer: 5, 2053, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -36*((-1)\/(-10)*5)\/((18\/6)\/3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1451645 (base 9) to base 16.\nAnswer: c3ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from zrnzssc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2241 and 13\/31815.\nAnswer: 7921935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -925 divided by 437?\nAnswer: -925\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 + 6. Suppose 15 = k + 4*k. Suppose -3*g + k = -6. Let s(d) = 2*d**2 + 7 + 2*d**2 + g*d**2 + d**2. Determine -7*j(r) + 6*s(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -4 - (3 - 1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57601 - -29837303\/518. Calculate the common denominator of 73\/777 and z.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5\/3 (b) -2\/17 (c) 1 (d) 4\/99 (e) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -554 - 1?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 14, 4\/9, -0.2, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 73*(0 - -1) - (-186 + 190). Solve a*b = 56*b + 26 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 2720?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*p + p - 6, -5*o = -p + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 12. Give m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - g = 108757, 108741 = 3*c + 371*g - 368*g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 8)\/(3 + -5). Let j(x) = 2*x - 1. Let a be j(t). Let c = -7 - a. Solve s + s - 2*y = c, 2*s = -4*y - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 884*x + 884*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.08857712.\nAnswer: -0.4428856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(4 + 1 + sqrt(3))*4 - (1*(sqrt(3) + sqrt(9)\/(sqrt(3) - (-1*sqrt(3) - sqrt(3)))) + -4))**2.\nAnswer: -115520\/3 - 12320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157700 or -157695?\nAnswer: -157700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2351 (base 7) to base 6\nAnswer: -4005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3709 - 3702 - 4*p - 83*p. Let g(v) = -2*v. What is g(s(u))?\nAnswer: 174*u - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15964*n - 31914*n + 15962*n - 27 - 2*n**2 - 4*n**2. Determine a(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*z + 39 = 0, -336*j + 341*j - 13 = -2*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1796 + 1798. Suppose -5*y + 53 = 3*h, h - 10 = -h + 3*y. Solve -h = 3*z - v*l, -z - l = -0*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43210.\nAnswer: 2, 5, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 4*f - 2. Let a be -1*((-2)\/(-1) - 5). Suppose 5*s - 4*s + a = 0. Determine i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/16)\/((-1)\/16). Suppose 15 + c = 3*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10308 + 8*d**3 + 10308 - 12*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213900 is divided by 385?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235 + 301135?\nAnswer: 301414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*p + 66 + 116 = 0, 49*p - 74 = 2*h + 51*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 w when four letters picked without replacement from {t: 4, w: 4, g: 2, s: 10}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -20*t**3 - 13*t**2 + 3*t + 73. What is the ten thousands digit of p(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -2 - (-2 - 5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-4 - -7 - 4). Suppose -n - p*n = -225. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 45\/4, 5 in decreasing order.\nAnswer: 45\/4, 5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 35 - (-234 - -154)) + -39?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/720 + h**5\/60 + h**4\/8 + 4*h**2. Let k(l) be the second derivative of g(l). Give k(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6 - 6. Suppose 5*z + b = 2*z. Put z, -1, 2 in decreasing order.\nAnswer: 2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, a: 5}. What is prob of sequence jj?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -1\/3*f**3 + 5\/2*f**2 + 0 + 47*f + 1\/20*f**5 - 1\/3*f**4. Give w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.638 take away -90.396?\nAnswer: 89.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.075 + 0.225. Let y be (2\/6)\/(-1)*3. Let q = 8 + -6. What is the smallest value in u, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcbbiipcccbcc. Give prob of sequence ib.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)\/j)\/j**7 assuming j is positive.\nAnswer: j**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 27 = -3*c, -2*q - c = 4*c - 18. What is the remainder when 34 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -50*a**3 + 4*a**2 - 6*a - 5. Let y be r(3). What is the remainder when (-6)\/9*(-5 + y\/14) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11645 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 2\/(-7) + 247\/7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k + 11 - 50 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.78 + -0.48. Sort 4, -2\/21, v, -0.2 in decreasing order.\nAnswer: 4, v, -2\/21, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 + -59 - 3 - 126.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -233.6973 minus 376?\nAnswer: -609.6973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 4*i - 5, -4*i = -5*c + 21. Suppose -17 - 6 = k + 5*u, c*k + 3*u + 5 = 0. Let f = 65\/8 - 383\/56. Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 + -180. Let p(k) = -k**3 - 2*k**2 + 2*k + 5. Let n(t) = 4*t**3 + 9*t**2 - 9*t - 20. Calculate r*p(g) - 2*n(g).\nAnswer: g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -4, 3.8, 108, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from vovvooevveoe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 u when four letters picked without replacement from {e: 3, u: 7, v: 3, o: 3, k: 1, j: 2}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 22 - 1) + -1 + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142.894596 - -142.9. Round s to four decimal places.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/3)\/k*k*k**(2\/9)*k)**(-12\/13)*(k*k**2*k\/(k*k**(6\/11)\/k))**(-19) assuming k is positive.\nAnswer: k**(-29170\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + -7498?\nAnswer: -7468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6029, -6033, -6037, -6041, -6045?\n\"Answer: -4*w - 6025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*t = 3*o + 10, 0 = 2*o + 3*t - 10. Let x(r) = 4*r + 6. Let a be x(-4). Let p be 4\/a + 96\/40. Solve p*m - o*m = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4204082880 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 211 + 211.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 10:29 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*a - 61 + 103, -4*v + 48 = -4*a. Solve 24 = -7*w - v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/11 in -0.4, 3, 72?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**2\/2 - 12*z + 55. Let c(t) = -t**3 + 6*t**2 - 4*t - 5. Let b be c(5). What is d(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-27)*((-1197)\/147)\/(12\/21).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*v + 3, 3*k = -5*v - 13 - 12. Is v\/(-9) - 662\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 471 - 400. Suppose 0 = -5*x + 1 + 44. What is the remainder when r is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4017.\nAnswer: 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + 2*g + 7. Let p(u) = 139*u**2 + 34*u - 44. Let f(n) = 36*n**2 + 9*n - 11. Let s(t) = 23*f(t) - 6*p(t). Calculate 8*a(y) - 5*s(y).\nAnswer: -2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.084, -5, -1, 1\/6?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1 - 54\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 1 - 101. Suppose 47 = v + 9. What is the remainder when v is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let h be (36\/45)\/(2\/10). Let k(a) = -a**2 + 4*a - 4. Let c(x) = -x**2 + x - 1. Let d(u) = h*c(u) - k(u). Determine d(i(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (215\/(-43))\/((-25)\/60)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 0 + 5 + -65. Let x be (-3)\/(-4) + o\/4. What is the units digit of -10*(48\/x)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gddggmmgm. What is prob of sequence mgg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 5*z + 3. Let v = -9 + 13. Let g be 2\/v*(z + 1). Solve 2*i + 3*i - 3*f + 20 = g, 20 = -5*i + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 2*k + 3. Let a be 2*(-2)\/(1 - 2). Let d be o(a). Let g be 576\/((-1512)\/(-42)) - (6 - 2\/(-2)). What is the highest common divisor of d and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 - 19*s**3 + 324*s**2 - 1424*s + 1984 = 0. What is s?\nAnswer: -31, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*c*f + 35*a*c*v**3 + 60*a*c*v**2 + 2*a*v - 4604*f*v + 2*v**3 with respect to c.\nAnswer: -2*a*f + 35*a*v**3 + 60*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 7*c**2 - 3*c**2 - 1 + c. Let j be 3\/(-6)*-10 + 12\/(-4). List the prime factors of s(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgqgggegqwigwhww. Give prob of picking 2 g and 1 i.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose 0 = b*w - 5*w + 3. Let m(s) = -3*s**2 - 14 + 9*s**3 - 7*s**2 - 23*s**w. Let n(f) = -f**3 - f**2 - 1. What is -m(p) + 12*n(p)?\nAnswer: 2*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 11*d + 19. Calculate the remainder when g(6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/7 + 174*s = 0. What is s?\nAnswer: -609, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 0.03 (c) 2\/29 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -37. Let s = -2\/151 + 610\/453. What is the nearest to -1 in y, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 - 0 - 8) - 3 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 117\/4*g**3 + 3\/8*g**4 + 0*g + 4563\/8*g**2 + 0.\nAnswer: 3*g**2*(g + 39)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, 2, 3, 321 in increasing order.\nAnswer: -5, -4, 1, 2, 3, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let s(l) = -357*l**2 - 18*l - 18. Let k(d) = -102*d**2 - 5*d - 5. Let z(y) = -18*k(y) + 5*s(y). What is z(w(g))?\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 718.\nAnswer: -37\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12456409 by -1779487.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 3*w**2 + w + 4. Let h(c) = c + 1. Let r be h(5). Let n(v) = -v**3 - v**2 + 1. Let o(u) = r*n(u) - g(u). Is o(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47307 - 47369.455. What is y rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -76*v - 452. Determine x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = -0*j. Let s be (-1)\/2 - j\/(-2). Let v = 1 + 4. Solve s = -v*p - 8 - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = 28*l - 10*l. Let p(c) = 11*c**2 + 6*c + 14. Let h(q) = 4*q**2 + 2*q + 5. Calculate l*h(n) + 6*p(n).\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 4*x**2 - 33*x**5 + (-3*x + 3*x - x**2)*(2 - 2 - 6*x**3).\nAnswer: -27*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/60)\/((-114)\/342). Which is the nearest to 0? (a) 5 (b) -2 (c) u (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5659 is divided by 1812.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*q - 1427 - 22213 - 1112 = 0 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, -4, 2\/17, -0.4, -21 in decreasing order.\nAnswer: 126, 2\/17, -0.4, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 0 + 140*r**3 + 3*r**2 + 0.\nAnswer: 140*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 406*w + 11. Let k(m) = -2*m**2 - m - 3. Determine 2*k(s) + y(s).\nAnswer: -2*s**2 - 408*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 times 0.3?\nAnswer: 1030.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41952 or 41950?\nAnswer: 41950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-486)\/2592 - 218\/32\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 3 = 33. Factor -54*k - 27*k**2 - 1\/2*k**4 - 81\/2 - 6*k**x.\nAnswer: -(k + 3)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-28)\/21))\/(1\/3*-9)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51341 by -7.\nAnswer: -51341\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 + k**3 + 3*k**3 - 3*k**3 + 36*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 1 = -9*u. Suppose -2*h = -u + 3. Calculate the common denominator of 25\/8 and (-2238)\/(-684) + h - 4\/6.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2 + 9330566*x + 46652780 = 0.\nAnswer: -4665278, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-24))\/(16\/(-640)). Suppose 8 = 3*n - 16. Sort 4, b, n in descending order.\nAnswer: n, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepbfhqf. Give prob of picking 1 q, 1 p, and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3\/3 - 3*q**2 + 10*q - 1196. Determine j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Suppose -s + 5 = 2. Let l(o) = -o + 5. Let b be l(4). Let v(f) = -2*f - 2. What is b*v(x) + s*z(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95652\/7 + 8609821\/630. Find the common denominator of z and -85\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4 + 492*c**3 - 32568*c**2 + 278480*c = 0.\nAnswer: 0, 10, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.3, 0.077, 0.728, -0.17?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 18744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 140*w - 4510. Let r be v(-89). Let g(m) be the first derivative of -m**2 + r - 7\/3*m**3 + 0*m + m**4. Find f, given that g(f) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1591228 + 1378772 = 5*c. Round c to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -7*l - 7*l. Let v be l\/7 + 382\/14. Let q = 26 + -17. Calculate the greatest common divisor of q and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 25\/15*3. Let o be 378\/(-252)*(0 + -4)\/c. Solve -3*p + 2*p = o*a - 7, 0 = 4*p - a + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183681\/38 + -4835. What is the common denominator of f and 35\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, r: 2, c: 2, f: 1, k: 3, u: 2}. Give prob of sequence fuor.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) + 5\/2. Suppose 3*m = 3*y + 7*m + 20, -3*y = 2*m + 10. Let i = y + 3. Solve k - i + t = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6623 - 33092 + 6626 + 6618 - 12*u + 6601 + 6624.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20073, 40146, 60219, 80292, 100365, 120438?\nAnswer: 140511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 15658 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -25*x**2\/2 - 448*x - 52. Let b be u(-21). Sort 0, b, 3.\nAnswer: 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -5 (c) -4\/3 (d) -12.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17938)\/44845)\/((-2)\/(-5)*57\/(-6))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -341, -1031, -2313, -4367?\nAnswer: -7373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5523433 rounded to 2 dps?\nAnswer: -3.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 156 - 16*q**2 + 156 - 311 + 17*q**2. Let f(s) be the second derivative of -s**5\/10 - 5*s**4\/12 + s**3\/3 - 3*s**2 - s. Determine -f(x) - 6*w(x).\nAnswer: 2*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -105212 (base 8) to base 6\nAnswer: -432110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60435 divided by -3555.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 1875185?\nAnswer: 88\/1875185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjmjjpjdmjjj. Give prob of picking 1 j and 1 m.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/140 + (-5 - 180\/(-35))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 9*q - 23. Let z be s(11). Let r(f) = 495*f**2 + 2*f + 1. Let d be r(z). What is the units digit of (18 + -20)*d\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428667114 divided by 6.\nAnswer: -71444519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 3. Let z = 23 - 2. Let j = 39 - z. Calculate the smallest common multiple of j and i(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let p = 30 - 25. Let x(k) = k - 1. What is p*v(q) + 6*x(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 150*a + 1685. Calculate u(12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(315)\/(-1*sqrt(125)) + 3)**2.\nAnswer: -18*sqrt(7)\/5 + 288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(15)\/(sqrt(9)\/sqrt(3)*5))**2 - ((sqrt(1960)*-1 + sqrt(1960))\/sqrt(8))**2*-2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24844.8202 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -1243, -1851, -2459, -3067?\nAnswer: -3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153761, -616057, -1386889, -2466257?\nAnswer: -3854161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r*(r*r**(-17))\/r)*r))\/(r**(-3)*r) assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - p - 133, -2*k - 49 = -k - 5*p. Suppose -v = -5*v - 2*x - 248, 0 = 5*x - 10. Let j = k - v. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)\/j**(6\/7))\/(j**(2\/3))**(-3\/17) assuming j is positive.\nAnswer: j**(-1382\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 736 = -47 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1015730054277 + -3.\nAnswer: -1015730054280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-3 - -3) - 4. Let t(q) be the third derivative of -q**4\/24 + q**3\/2 - q**2. Let n(u) = -6*u + 16. Give c*n(w) + 11*t(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22008 - -34451. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -851 (b) 3 (c) -132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from oopppxpxxoxppp?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((540\/304)\/15)\/(66\/88)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/183796 and -61\/2021756.\nAnswer: 2021756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1716317.\nAnswer: 1716317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-4 - -1)*(-7 + 6). Solve 2*d + 5*h + 25 = 0, -3*d + 4*h = 2*h + a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -6. Let j be (-186)\/(-9) - 2\/3. Suppose -f = 10 - j. Calculate the smallest common multiple of b and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10459, -3.\nAnswer: -10459, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 2*d**2 - 1. Let i(y) = 2*y**3 - 7*y**2 - y + 3. Calculate -7*b(x) - 2*i(x).\nAnswer: 3*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by ((-3)\/2 - 154\/44)*(1 + -24)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 18*w**3 + 7*w**3 + 12*w**3 + 15*w + 38*w + 3*w**2 in the form c*w**3 + u*w**2 + l + a*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 16. Let i(n) = n**3 + 6*n**2 + 7*n + 1. Let r be i(-3). What is the units digit of s(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1 - -1) + -11 + (-13 - -6) + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.18 - 0.38. Let j = -2 + g. Let b = 1.4 - j. What is the nearest to 1 in -1\/11, b, -0.9?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 21 = 27. Suppose -5*u + h - 9 = 0. Let k = -0.5 - -0.1. What is the second biggest value in k, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y**2 + 8*y**2 + 4*y**3 + 8*y**2 + 5*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*p - 3 = 0, -3*q + 0*p + 3 = 4*p. What is the smallest common multiple of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241 + 479. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -192311, -192310, -192309, -192308, -192307?\n\"Answer: s - 192312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2801440 - -1.1294.\nAnswer: -2801438.8706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.98 + 10. Let c = -0.020252 + s. What is c rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 3\/2*n**2 + 1\/20*n**5 - 4*n + 0 - 1\/12*n**4 - 2\/3*n**3. Let y = -15 + 17. Determine z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 - 25*s**2 + 28*s + 10. What is x(6)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*h**4 - 50*h**4 - h**3 - 2*h**3 - 44*h**4 + 71*h**2 wrt h?\nAnswer: 168*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3462*g + 60. Let k(w) = -2309*w - 43. Give 7*k(d) + 5*l(d).\nAnswer: 1147*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 = 35*g - 178 + 584 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2659314919 to the nearest integer?\nAnswer: 51569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from nnnwwwwznnpwissz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 9*u - 14. Give t(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**3 - 123*i**3 + 29*i**3 + 21*i**3 + 16*i**3 + 27*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 380, 756, 1134, 1514, 1896, 2280?\n\"Answer: f**2 + 373*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 4*a + 4*a + (-37 + 1 - 51)*(-14*a + 13*a + 3*a).\nAnswer: -176*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q + 16. Let y be p(-6). Suppose 5*i = 4*c + y, -c - 25 = -2*i - 0*c. What is the second derivative of i*b**2 - 4*b - b - 3*b + 2*b wrt b?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 19 = -4*a, -3*a - 34*u + 37*u - 9 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(396)) + 1)**2.\nAnswer: 660*sqrt(11) + 10021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10108177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**2 + 1. Let q = -5 - -6. Is 9 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2711*b**2*m**2 - 95*b**2 - 3939*b - 72*m**2 wrt m.\nAnswer: -5422*b**2*m - 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*g**3*x**2 + g**3*y - 703*g**2*k*x*y**2 + 36*g*k*x*y + 195*k*x**2*y**2 + 35*k*x**2 - 4*k*y**2 + y**2 wrt x.\nAnswer: 290*g**3 + 390*k*y**2 + 70*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 4364821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 55*q**2 + 883*q + 61. Determine m(68).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:16 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -32906\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2167.86 to the nearest 10.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2632 - 712 = 5*i, 0 = -5*w - i - 8406. Let z = w + 3696. Suppose 0*k + 3*r - 5049 = -5*k, 2*k = -4*r + z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -31551?\nAnswer: 5\/10517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.7312 rounded to 1 dp?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -20*w - 40. Does 56 divide y(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63944 + 52294 = 144*p - 275154. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107)\/(423720\/(-1120)) + (-2)\/27*3?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/6 - 2*x**2 + 8*x - 8. Determine s so that y(s) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 34 = -2*w, -3*i + 4*w = -6 - 4. Suppose 0 = 3*o - j - 44, -42 - 30 = -4*o - 2*j. Calculate the smallest common multiple of o and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 5:07 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5289\/11 - 62\/(-341)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-93009)\/(-1751) - 2\/17 is divided by 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 7*j + 236*j**2.\nAnswer: 236*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 160*n**2 + 8*n - 20. Let b(g) = 54*g**2 + 3*g - 7. Give -17*b(w) + 6*h(w).\nAnswer: 42*w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4818 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m - 2\/5*m**2 + 2\/5.\nAnswer: -2*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002221 (base 6) to base 7.\nAnswer: 2245435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-15)*((-58)\/(-4) - 4). Let k = 4 - 4.4. What is the closest to d in k, -2\/3, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*j + 656*j - 4697*j.\nAnswer: -3522*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -537*d**5\/10 - 1445*d**2 + 822*d. Differentiate p(g) with respect to g.\nAnswer: -3222*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/12 - 219\/9. Let u(v) = -20*v. Let w be ((-3)\/(-6))\/1*2. Let d(j) = -j. Let k(r) = h*d(r) + w*u(r). Let z(a) = -a. What is k(z(o))?\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -12. Suppose -4*q - 4 + 18 = 2*l, -4*q = -l - 23. Suppose a = -q, 3*a - 1 + 20 = -2*s. Is h less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (144 - 57 + 107)*(-1 + 1 - 4*j) in the form w + m*j and give m.\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + v**4 + (-v**4 - 4*v**3 + 4*v**3)*(0 - 4 + 1) + 42*v + 2*v**3 + 29*v**4 - 31*v**4 + 12 - 45*v as p*v**2 + z*v + w*v**4 + u + q*v**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18766 + 18765. Which is the nearest to -1\/2? (a) 2\/3 (b) 17 (c) -4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, -0.2, 8\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -35. Let r = -24.07 - g. Let y = -2 - -1. Which is greater: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -5, -14, -31, -15, -209 in descending order.\nAnswer: 8, -4, -5, -14, -15, -31, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:25 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*n**6 - 186*n**5 + 739*n**2 + n wrt n?\nAnswer: 1200*n**3 - 11160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 107*v**5\/5 - 1810*v**3\/3 - 191*v + 17. Find the second derivative of p(x) wrt x.\nAnswer: 2568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by 754.\nAnswer: 133\/754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + z**2 + 7*z**2 + z**2 - 3*z**2 + 0*z**2 + 2 - 2 - z**2 + (-2 + 2 + 3*z)*(6*z - 2*z + 2*z).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 1\/80*m**5 + 0 + 0*m**6 + 0*m + 0*m**3 - 1\/840*m**7 + 6*m**2 + 1\/48*m**4. Factor o(a).\nAnswer: -a*(a - 2)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, -2, -166, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 5*d - 1. Let t(y) = y. Let p be t(6). Calculate the remainder when s(p) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 54 = -3*v, 2*v = -971*t + 974*t - 36 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -861698, -861699, -861700, -861701, -861702?\n\"Answer: -a - 861697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 8449060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-450) - (-8)\/80?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - 3*n + 79. What is w(7)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, -371, 3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4650138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/7 - (7 + (-25947)\/1302). Suppose w + 1\/6*u**2 + 3*u = 0. What is u?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109073 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 5*i**2 - 5*i + 25.\nAnswer: -5*i**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {o: 10, m: 1, r: 4, h: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/9 + 200*f\/9 - 434\/3 = 0.\nAnswer: 7, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 233, 224?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18 + (-7511)\/12789?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8 + 8 + 0 + 126*d. Let c(o) = o**2. Give w(c(b)).\nAnswer: 126*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54804.4 times 0.1?\nAnswer: 5480.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let a(k) = 883*k**2. Determine u(a(s)).\nAnswer: -883*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 508267340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -321006 + -218794. What is u rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 33 = 31. What is the common denominator of ((-57)\/10 - 1) + 3 and 1520\/36*(-2)\/u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l. Suppose 26*j - 4 = 24*j. Let q be j\/(-6)*54\/(-9). Let m(c) = -c**2 - 8*c**2 + 8*c**2 + 2*c**q. Give x(m(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 8*h**2 + 14*h - 21. Give b(8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60392\/68 - ((-159)\/(-51) + -3). Let v = -188 + x. Is 50 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3446 not equal to 3447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 30*k**2 + 3*k - 288. Determine m(-14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489473 is divided by 388?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6173 - 58*u + 3086 + 3087.\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8748, 8895, 9042, 9189?\nAnswer: 9336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**2 + 9*c**2 + c**3 - 36 + 85 - 35 + 41*c. Is a(-16) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -171 - -199. Let u(v) = v**2 + 2. Let j(d) = 6*d**2 - 32*d - 242. Let g(t) = h*u(t) - 4*j(t). Factor g(y).\nAnswer: 4*(y + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebgcbbecbieigcppec. What is prob of sequence eigp?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -1.09. Let g = 0.01 - r. Is g >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1, 0.4, -0.3, -0.04, 31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-10 - -12) - -2 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(3))**2 + 3 - (-1 + sqrt(153))*3.\nAnswer: -9*sqrt(17) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnlvnwpnwlnnnlpvn. What is prob of sequence nl?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -71. Suppose -m + l - 3*l = -7, -m + 5*l = 7. Suppose -65 = -m*z - 14. What is the remainder when s is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:55 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (4 + -8 - -12) + 267048 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -17.05, -53, -2\/17, -1, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 5*k**6\/3 + 4*k**5\/5 - 5*k**4 - 8*k**3\/3 + 5*k**2 + 4*k + 11. Let c(x) = 0. Calculate x.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.015, -2\/3, -0.2 in increasing order.\nAnswer: -2\/3, -0.2, 0.015, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 133*8 - 3 - -5 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1.493 (b) -1 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 487 - 469. Suppose -19*o + t*o + 1292 = 0. What are the prime factors of o?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2. Let g(n) be the second derivative of 214*n**3\/3 - 2*n + 3818. Give g(d(x)).\nAnswer: 1284*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6705 is divided by 986?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-four fifths of a millennium?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269547356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12794249753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) + sqrt(153) + 0 + -4))**2.\nAnswer: -768*sqrt(17) + 10048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -763 - -1153. Calculate the greatest common divisor of r and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*a**4 - 9*a + 2*a**4 - 3*a**3 + 5*a + 3*a in the form k + p*a**3 + n*a**4 + r*a + y*a**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*sqrt(204)*-1 + sqrt(204)))\/(sqrt(768)*4*-2) + -4.\nAnswer: -4 + 21*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b + 5. Let u(i) = -i**2 - 2*i + 6. Let w(v) = 6*j(v) - 5*u(v). Find the second derivative of w(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21462 + 21475. Let l(v) be the first derivative of -5\/2*v**2 - c + 0*v. Let b(h) = -h. Give l(b(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1472284114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 467*s + 52 = 462*s, 5*o - 16*s + 172 = -19*s for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.586 take away 0.4?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by 155?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 divided by -67?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 90 + 16 - 26 - 2*a**2 to v + j*a + y*a**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s - 130 - 147*s**2 + 606 - 196 - 155 wrt s.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/12 - 5*g**3\/6 + 3*g**2 - 14*g. Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8788*c**2 - 22627219 + 22627219 + c**2 + 2*c**2 - 4*c**2 + (0*c + 0*c - c)*(0*c + 0*c + 2*c) - 4*c**2 - 2*c**2 + 5*c**2.\nAnswer: 8784*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7354755 and 327231?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**2\/2 - 6*b + 1. Suppose 3*g = -11*g + 56. Give t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + t**2 - t + 2. Let g be c(-4). Let y be (2\/3)\/((-2)\/g). Let s = -632088 - -632123. Calculate the highest common divisor of s and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -20, 0.77, 413, 1, -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205624 - 61315?\nAnswer: 114306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -24. Let g = 0.071 - 0.001. What is the second biggest value in 1\/5, g, h, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/60 - 17*o**4\/24 - 12*o**3 + 241*o**2. Let i be z(-8). Solve 2 + i = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 5:53 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 73 = -q + 265, 4*q + 3*m = 1388. What is the remainder when q is divided by (-2)\/7 + 342\/21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -141, -640, -1473, -2640?\n\"Answer: -167*d**2 + 2*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386689 is divided by 186?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u - 2. Let m be h(-3). Let w = m + -22. Suppose 0*c - w = -5*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83 * 36.\nAnswer: -2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 15*p. Let t(y) = -24*y**2 - 2. What is a(t(u))?\nAnswer: -1152*u**4 + 168*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3749126*u**3 - 2236752*u**2?\nAnswer: 22494756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1555, 3042, 4529?\n\"Answer: 1487*m + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1501750263 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 1176*b + 5858. Calculate r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 0*x**2 + 0 + 12\/5*x**6 + 1\/2*x**3 - 59\/12*x**4 + 332*x + 1\/20*x**5. What is the third derivative of r(l) wrt l?\nAnswer: 1728*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:36 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2285*m**3*r**2 - m**3 - m*r**3 + 8 wrt r.\nAnswer: 4570*m**3*r - 3*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1)**45*(y**(2\/3)\/y)**(1\/19))**(2\/9))**(-2\/93) assuming y is positive.\nAnswer: y**(-20516\/47709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s + 58*s + 6630 = s. Let h be (-1)\/(-5)*8 + -1. Which is the closest to s? (a) -1\/2 (b) -3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1314795 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) 0.1 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + 4*q, -4*q + 0*q - 20 = -2*w. Let c be (-1)\/(3\/w) + -1. What are the prime factors of -3 - (-13)\/(c + 4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c\/(c*c**(1\/3))*c)\/(c**3*c**(-3\/4)*c) assuming c is positive.\nAnswer: c**(-193\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332401380 divided by -66480276.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/20)\/3 - (-397)\/5. Find the second derivative of 107*l - n*l - 4*l**5 - 2*l**5 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316950581*p**5 + 647996*p**2 - 14*p - 2 wrt p.\nAnswer: -19017034860*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5, -12*f + 10*f + 2*l + 1460 = 0. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182560\/86241 + 4\/5073. What is the nearest to k in -3, -5, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32321 + 122?\nAnswer: -32133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-27) + (-1786)\/(-6). Let v = -294 + g. Solve -5*d + s = -0*s + 8, -v*s = -15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m*m**(-4)\/m*m)*m**(2\/7)*(m**(-1))**44 assuming m is positive.\nAnswer: m**(-285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (152\/3)\/19*(-3)\/(-4). Solve -2*v + 5*d = -14, -l*v - d - 6 = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = s + 2*m, -5 = 3*s - 2*m + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -73. What is the lowest common multiple of v and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-74)\/(-9) - (-4)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197 + -41 + -69 + -19\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24960.789 months?\nAnswer: 2.08006575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/3, 33246, -0.6 in decreasing order.\nAnswer: 33246, 14\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 12*n**2. Let t be q(-1). Suppose -4*p + 8 = -4*s, p = -4*s + 4*p - 6. Suppose s*j - t = -3*j. Solve j*h = -5 - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f - 25*f - 16*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 52*c - 69 = 0. Let y = -38 - c. Let t(k) = -k**2 - 12*k + 45. Let x be t(y). Which is greater: -2\/35 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 4*g**3 + 17*g**3 + 92*g - 91*g - 2*g**3 to the form l*g**3 + u*g**2 + a + q*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 8*w**2 + 14*w + 6. Let p be a(-5). Let c(t) = -t - 5*t - 2*t + p*t. Let j(s) = -21*s. Calculate j(c(y)).\nAnswer: -63*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 18*k**2 + k + 22. Let y be n(-18). Put y, -16, 2 in decreasing order.\nAnswer: y, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 90 = -d - 18*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 13 = 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -33*t**6\/2 + 2*t**3\/3 - 3*t**2\/2 + 79. Find the third derivative of d(w) wrt w.\nAnswer: -5940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*t + 14 = 0, -3 = 2*o - 4*o + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279520527?\nAnswer: 3, 11, 13, 59233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -328 + 659\/2. Which is the third biggest value? (a) -4 (b) v (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:53 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(304) + 0 - sqrt(304)) + 4)*2 + (sqrt(304) - -3*sqrt(304)*-6)*3)**2.\nAnswer: -3264*sqrt(19) + 790768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22273 (base 8) to base 12.\nAnswer: -5537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a8 - 0?\nAnswer: 7a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 0.17?\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38326049323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - 122. What is the greatest common factor of 40 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/(-21))\/(-50)*(8\/2 - 465\/160)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*h - 155*h - 144*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/(sqrt(56)\/sqrt(8)))\/(-2*sqrt(75) - sqrt(3)).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 68*l + 875. What is s(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -3430946.\nAnswer: -3\/1715473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235307.2 centuries in millennia?\nAnswer: 23530.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(1*2) - 0\/(-5). Let y be (-30)\/(-18)*i\/5. List the prime factors of (-1923)\/(-15) - y\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 35*m - 33*m - 4*d, -3*m = -2*d - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 4:28 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1764))\/(sqrt(448) + (sqrt(448)*-2 - sqrt(448))).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 1834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*-5)\/sqrt(9).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.26 and -4.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7522970 divided by 35?\nAnswer: 214942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -28*s**2. Let k(u) = -4*u. Determine c(k(p)).\nAnswer: -448*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*y - 255, y - 3*y = -3*u - 102. Calculate the smallest common multiple of 30 and y.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4306*b + 4343*b - 2146 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14567)\/(-9) - ((-4)\/(-48))\/(18\/(-96))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-207)*(-68)\/238?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o + 82. Determine g(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15095.\nAnswer: 5, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 10) to base 7\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(125) - (sqrt(125) + -1 + sqrt(125) + sqrt(125)))**2 + 5 + sqrt(125) + -1.\nAnswer: -15*sqrt(5) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (57\/(-76)*2)\/(1*3). Let x = -197\/3 - -65. What is the nearest to -1\/2 in r, x, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14452 and 1502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 86.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-14)*(-1820)\/260.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26193468941 and -0.3.\nAnswer: -26193468941.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -38 - -21 - (5 + -15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812 - 56 = -6*r. Is 14 a factor of 28\/r - (-18528)\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5047, -23 in decreasing order.\nAnswer: -5, -23, -5047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 28*n + 846. Give q(-35).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.073 and -13?\nAnswer: -0.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 2*d**3 - d**3 + 5*d**3 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 6. Let g be y(-4). Suppose -5*o + 18 = g*h - 2*h, 3*h + 2 = 4*o. Suppose -2*i + 40 = h*i. Calculate the remainder when 28 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 11, 199, -2 in increasing order.\nAnswer: -2, 11, 73, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 + 12*y - 12. Let h be -18 - 4*(-3 + 2). What are the prime factors of l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/20)*n*n**(2\/3))\/(n\/(n\/n**(-9))*n**5) assuming n is positive.\nAnswer: n**(343\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 177\/15)*(-46)\/322.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/4*i - 27\/8 - 3\/8*i**2.\nAnswer: -3*(i + 1)*(i + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.41 - -17.11. What is the biggest value in i, -444, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212 - -1012210221222?\nAnswer: 1012210212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3071 and 101602.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/118 (b) -6 (c) -0.1 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 508 = 3*m + m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1028*b**2 - 166537*b + 162 = 0. What is b?\nAnswer: 1\/1028, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/385 and -27\/245?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -1435?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618225391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1361388 by -10236.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 16409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-4 - 52\/(-16)). Suppose -j*z + 1 = -59. Suppose 308 - z = m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 487\/1 + (25 + -13)\/(-4) and 1.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/32 and 25\/20*4 + (-933)\/216.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 9. Suppose -4*c + 3*q = -5, r*c + q = -2*c + 30. Suppose c*h = 20, 3*w - 93 + 2 = -4*h. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let s(k) = -322*k**2 + 696*k**2 - 309*k**2. Determine l(s(c)).\nAnswer: 4225*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610780 is divided by 4339?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 141176.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 2:00 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbfff. What is prob of picking 1 b and 2 f?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bb - -2?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-485)\/(-776)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 376 - 384. Let u(g) = -15*g**2 + 3*g. Let l(m) = -48*m**2 + 8*m. Let s(o) = j*u(o) + 3*l(o). Let n(k) = 12*k. What is s(n(p))?\nAnswer: -3456*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + 4*sqrt(140))\/sqrt(5)*2)\/(sqrt(48)\/sqrt(3)*-5))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 + 3*b**2 - 49*b - 14. List the prime factors of a(14).\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16\/147637?\nAnswer: -16\/147637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 + 6*w - 4*w**2 - 25 - 6*w.\nAnswer: 5*w**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -246, 584, 17\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-1\/8))\/g)\/g)**44*(g**(3\/7))**(2\/17) assuming g is positive.\nAnswer: g**(1321\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -863261 * -0.3.\nAnswer: 258978.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 4*w + 4. Let u be f(-1). Find the third derivative of -2*y**3 - y**3 - 19*y**2 + 3*y - u*y wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 61*a - 452. Calculate p(10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*d**2 - 3 + 68*d**2 + 41*d**4 - 39*d**4 to n*d**2 + f*d**4 + i*d + z*d**3 + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 10. What is u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n**2 + 53*n + 17. Calculate the remainder when 361 is divided by a(-5).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 6*t**2 + 10*t + 5. Let w(n) = -n**3 - 3*n**2 + 5*n + 2. Let o(m) = 2*f(m) - 5*w(m). Calculate o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292940.3us to seconds.\nAnswer: 0.2929403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2 + 4 + 7*y - 7. Let b = -82 - -83. Let o be z(b). Calculate the greatest common factor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*q**3 - 694080*q**2 - 520668*q - 97632 = 0 for q.\nAnswer: -3\/8, 2712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 25*h + 14. Let u be q(24). Let t be (-9)\/(-36)*(-8)\/u. Sort -3, 0.1, t.\nAnswer: -3, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354959 is divided by 59159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 115.885 (b) 0.9 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -40. Let x = -26.7 + a. What is the second biggest value in -0.5, x, -1, 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117888 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5854070*f**4 - 4485152?\nAnswer: -23416280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -45. Let q be (-5)\/(-2)*(72\/v)\/(-280). Is 1\/5 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 85 - 17 = 0. Solve 4*f + w + z = 4, 4*f - 4*w + 8 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423431 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 2*j**2 + 2*j + 3. Let v be i(-1). Let f be (6\/3)\/(v\/4). Is (0 + f\/(-12))*-12 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2556433 (base 7) to base 15\nAnswer: -68cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 3*f + 2. Let y be u(-2). Suppose 2 + 18 = y*g. Suppose 5*d = g + 5. Solve 0 = 3*z + d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*m + 1 - 2)*(984 - 987 + 81*m**3 - 13*m**3).\nAnswer: -136*m**4 + 68*m**3 + 6*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 386531857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28593 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 5:06 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 100241431 (base 5) to base 4\nAnswer: 1201210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100210121112 (base 3) to base 6.\nAnswer: 352453322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + 1422\/(-162) - ((-38)\/(-9) - 1). Let b(t) = 2*t**3 + 14*t**2 + 3*t - 4. Let q(u) = 2*u**3 + 13*u**2 + 2*u - 3. Give x*b(h) + 4*q(h).\nAnswer: 2*h**3 + 10*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 636809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4629, -9260, -13891?\nAnswer: -18522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1602 - -6473\/4. What is the common denominator of 37\/3 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d - 3. Let p(u) = 4*u + 3. Determine -5*a(q) - 6*p(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -113, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 11:18 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -644023 (base 7) to base 11.\nAnswer: -77029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + 16. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqk. What is prob of sequence rkq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605291277.\nAnswer: 3, 29, 6957371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -8327 + 1257. List the prime factors of d.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-33)*20\/10.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11286)\/(-31) - 62\/961 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398, -3, -0.2, -14, -0.1.\nAnswer: -14, -3, -0.2, -0.1, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/12 + 4*q**3\/3 - 6*q**2 - 74*q. Give y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368 = 52*h + 81*h - 3161 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4840\/3630*(-6)\/8)\/((-34)\/2)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*r = c - 31, -2 = r. Suppose 4*s - 32 = -8. Suppose -c = -q + s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000003221 (base 5) in base 7?\nAnswer: 45130520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8257 and 2513.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10*c + 34 = 0, -41*r + c = -46*r + 59 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4701 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 7*n\/2.\nAnswer: -n*(n + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133544, -133540, -133524, -133490, -133432, -133344, -133220, -133054?\nAnswer: -132840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661761 is divided by 220577.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/4 - d**4\/4 - 15*d**3 + 30*d - 2. Find the second derivative of u(j) wrt j.\nAnswer: 30*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 81036601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h - 4*b, -6*b = -2*b. Is 3 + (3 - -486 - h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (10 - (-9 + 9)) - (2 + 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819207369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 + 3858640*a + 135057300 = 0 for a.\nAnswer: -35, 964695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {x: 1, p: 3, h: 13, t: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136 divided by -1?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5922 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4 + 2466*f**3 - 95607*f**2 - 369996*f + 10824660 = 0. What is f?\nAnswer: -11, 10, 42, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 92, 244, 550, 1058, 1816?\nAnswer: 2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99389096?\nAnswer: 2, 257, 48341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 - 2*t + 1. Let m be w(1). Let h(k) = m*k + 11 - k - k. Let g(n) = -2*n - 4. Let s(f) = 8*g(f) + 3*h(f). What is the derivative of s(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 200.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4858 (base 14) in base 8?\nAnswer: 30516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 0 + (2 - 4). Let a(i) = -3*i**3 + 2*i - 1. Let n(g) = 16*g**3 - 11*g + 7. Let h(m) = 11*a(m) + 2*n(m). Determine h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let b(z) = 11*z**2 + 7*z. Suppose -4*s - 6*c - 8 = -4*c, 2*c = 5*s + 10. Let r(h) = s*j(h) - b(h). Find the second derivative of r(t) wrt t.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4816*x**5 - 2*x**3 - 750*x**2 - 81852803*x wrt x.\nAnswer: -96320*x**3 - 12*x - 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3400057 + 0.34. Round p to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(3*h**5 + 3*h**5 - h**5).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3800 and 1330.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 33, 0, 2, -1 in descending order.\nAnswer: 33, 14, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -331?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 0 - u**3 - 31 as s*u**3 + k*u + x*u**2 + t and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/9 + 8*h**3\/9 + 2*h**2\/9 - 8*h\/9 = 0. Calculate h.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**46)\/z**(3\/10) assuming z is positive.\nAnswer: z**(-453\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(2*k - k + 0*k) + k - 3*k + 0*k + k - 3*k + 3*k + (-2 + 1 + 3)*(-3*k + 5*k - 3*k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 520, -3, 2, -2 in ascending order.\nAnswer: -3, -2, 2, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p. Solve p*f - 8 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 84. Let k(w) = -14707*w + 2. What is z(k(f))?\nAnswer: 29414*f - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2566 = 4143*l + 1577 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*k + 11, 4*c = 4*k + 5*c - 37 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 64 * -34\nAnswer: -2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (124\/(-2))\/(30\/(-978)). Let a = v + -2012. What is the common denominator of a and 33\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-10) + 3440\/1075. Let q(g) be the second derivative of -21\/2*g**z + 25*g + 0 - 1\/2*g**3. Differentiate q(d) with respect to d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*h**2*r + h**2 + 2562*h*r + 4542*r - 406 with respect to h.\nAnswer: 150*h*r + 2*h + 2562*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + i - 3, -5 = -2*y - i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18203 - 18202.99999942876. Round n to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 8*i - 16543 = -1421*a + 5557*a, 2*i - i + a - 6*a = 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 1 - 50. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48, 168, 360, 618, 936, 1308?\n\"Answer: -l**3 + 42*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 3, -5552 in descending order.\nAnswer: 3, 0, -6, -5552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/4*(-1360)\/(-15). Let s be u*(1\/(-2) + 0). What is the tens digit of 1\/(-3) - s\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 34*y - 54*y - m - 103 = 0, -5*y = 3*m - 181 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - a = 1, 0 = -4*u - 2*a + 1 - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11632005 - 3?\nAnswer: 11632002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5759 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*u - 4 = 0, i + 10 = -0*i - 5*u. Suppose -4*c = -f + 5*f - 16, -i*f + 20 = -4*c. Solve -m - 5 = -c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 5*f + 4*f**2 - f + 0*f to the form r*f**2 + g*f + d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 169*c**2 - c**3 - 41*c - 166*c**2.\nAnswer: -c**3 + 3*c**2 - 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s - 4*s**3 - 2*s**3 - 4*s + 12*s**3 + 12 wrt s?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2348226800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 = 8*v - 214 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6717 is divided by 499?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, -17, -55, -117, -209?\n\"Answer: -d**3 - 3*d**2 - 4*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3748)\/(-18) - (-6)\/(-27). Let i(z) = -2*z**2 - 4*z - 3. Let d be i(5). Let n = y + d. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 - 19*y + 112. Let o(p) = -p**3 + 2*p**2 - 20*p + 111. Let f(r) = 5*o(r) - 6*v(r). Let t be f(8). Let g(x) = -5*x - 15. What is g(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {m: 2, z: 1, l: 2, u: 3, a: 2, s: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76645 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 95*i - 56. Let n(x) = 3*x. Give k(n(u)).\nAnswer: 285*u - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 89. Let y be (z\/(-12))\/((-2)\/(-3)). Suppose 0 = -3*j + y + 4, -2*q = 4*j - 246. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k + 1. Let m = -6 + 8. Let g be -1*9\/(-6)*m. Let v(q) = -q - 1. Let p(y) = 5*y + 4. Let f(s) = g*p(s) + 12*v(s). Give -3*f(b) - 2*t(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 + 29*l**2 + 3*l + 32. Let i(h) = 3*h**3 - 19*h**2 - 2*h - 21. Let w(b) = -5*d(b) - 8*i(b). Determine w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 4905195649?\nAnswer: 4905195649.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2451 + 1325 + 859 = 309*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2357681*u*v**2 - 107805032*u + 4*v**2 wrt v?\nAnswer: -4715362*u*v + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 9, b: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5 - -8 - 2)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77009 is divided by 8519?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66581233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -36*c - 100 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 56*q. Let i be -2*(-3)\/12*16. Let c be (-2 + 4)*4\/i. Let v be l(c). What is the greatest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, 439, -2\/11, 16, -7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*r + 3*r - 71, 0 = -4*r + 5*m + 42 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62, 66, 70?\n\"Answer: 4*h + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Let w(h) = -2*h + 2. Let l(u) = 11*u**2 + 11*u - 2. Let o(j) = -5*j**2 - 5*j + 1. Let t(i) = -4*l(i) - 9*o(i). Determine f*t(g) - w(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) - (0 + -1 + sqrt(175))**2 - (sqrt(1225) - sqrt(1225)*-1)\/sqrt(7).\nAnswer: -176 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 10, p: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 + 283. What is the nearest to -1 in l, -0.053, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3372962183339\/264004887756 - 4\/169668951. Let d = t + 75\/389. What is the common denominator of d and -9\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4245, -17117, -38579, -68637, -107297, -154565?\nAnswer: -210447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 15 = -4*s. Let q be (-614)\/(-2) + s + 4. What is q rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 1. Let x(f) = 5*f**3 - 9*f**2 + 2. Let v(p) = 2*l(p) - x(p). What is the third derivative of v(t) wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/20)\/((-3)\/2748). Suppose -3*c - 2 = t. Is 4 a factor of 33\/c - 136\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + 352 = 0. Suppose -3*p = -5*f - 587, 2*f = -476*p + 471*p + 1061. Calculate the smallest common multiple of p and x.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 + -162. Suppose c - x = -38. Solve 0 = 4*q - c*g + 4, -7*q + 3*g - 5 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiuoiiioumupuumiiu. What is prob of sequence pui?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3010?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12206 - d**2 - 12206.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 90*i - 40*i + 41*i**2 + 19 - 43 to the form t + v*i**2 + c*i and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221.7 + 349.6. What is q rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 + 2. Let l(p) = -16*p**3 - 30. Determine l(o) + 4*q(o).\nAnswer: -4*o**3 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnttgllllllhhl. What is prob of picking 1 t, 1 x, and 1 g?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 235. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -336246.13999979 + 336245.98. Let c = 0.16 + p. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.625945 nanometers in meters?\nAnswer: 0.000000004625945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Suppose 13 + 3 = -2*h - 4*c, -3*h + 4*c = 14. Let u(f) = 539*f**2. Let a(l) = 27*l**2. Let r(k) = h*u(k) + 119*a(k). What is t(r(z))?\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7793?\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 30*f**2 - 1874*f + 837. Determine u(-61).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58482 by 5427.\nAnswer: 722\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 + -99927?\nAnswer: -99925.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -4.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a. Let y be o(2). Let d be y\/(-7) - 594\/(-77). Suppose d - 1 = p. Solve 2*s + p = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4322415 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, 1087, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4, 4\/7 in decreasing order.\nAnswer: 4, 4\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -60. Let c = -2.3 + 2. What is the second smallest value in q, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 0, 5, 69 in increasing order.\nAnswer: -113, 0, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 121 - 121)*(-2*s**2 - 4*s + 4*s) + 3*s**3 - 2*s**3 + 0*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-14))\/1)\/(2*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -199825, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2*y**3\/27 - 784*y**2\/9 - 1048*y\/3 + 1925. Let i(r) = 0. Calculate r.\nAnswer: -2, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 - 21*c**2 - 21. Let x(a) = 2*a**2 - 131*a - 1725. Let w be x(-11). Let u(m) = -13 - 6*m**2 + 12 + 5*m**2. Calculate w*u(h) + 2*o(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49636852.\nAnswer: 2, 23, 439, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, -5, 1, 1\/4, 0.9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 3 + 3)*(0*l - 3*l + 0*l) + 6*l**5 - 4*l**5 - 4*l**5 + 5921*l**5 - 3008*l**5 - 2996*l**5.\nAnswer: -88*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-8\/13)*i*i*i*(i*i*i**(-2\/3)\/i*i)\/i*i)\/(i\/(i*i\/(i\/i**18))*i*i\/i**(-14)*i) assuming i is positive.\nAnswer: i**(223\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769796.\nAnswer: 2, 3, 7, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*w**4 - 4*w**4 - w**4 + (w**3 + 0*w**3 + 0*w**3)*(2*w + 0 + 0) + 2*w**4 + w**4 - w**4 to o + j*w**2 + v*w**3 + c*w**4 + x*w and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 63. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 3*t, y + 467*t - 472*t = 16 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5469?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55956, 223708, 503306, 894762, 1398088?\n\"Answer: 2*w**3 + 55911*w**2 + 5*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 26 = -20. Suppose 5*r = 10, a*r = 3*g - 379 + 104. Suppose 6 = -3*h + g. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -1.5408?\nAnswer: -0.215712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -55*s**2 - 60*s + 65. Let h be v(19). What is h rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/7)\/p)\/p**(-2\/5))\/(p\/(p*p*p\/((p\/p**(-5)*p*p)\/p*p)*p*p)*p*p*(p**(-2\/5)\/p)\/p)*((p\/(p\/p**0))**(-1\/2))**(-2\/3) assuming p is positive.\nAnswer: p**(-162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q, -5*q - 15 = -3*n. Let r(d) = -d**2 + 6*d + 5. Let m be r(6). Suppose 0 - m = -n*i. What is the remainder when 1 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n**2 + 88*n - 439. Calculate p(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/25))**36 assuming v is positive.\nAnswer: v**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/5)\/((-6)\/(-60)). Let w be (o\/(-21))\/((-1)\/6). Is w > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3 - 9*l**3 - 6*l + 3*l**3 - 10*l**2 + l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-4 - 150\/(-45))*30\/(-4). Solve -2*p - 2*k - 36 + 28 = v, k = 2*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*g + 6*g + 62, -5*g = -2*o + 35. Suppose 0 = -2*d - 2*h - 2 + o, -3*d + 14 = 4*h. Let b = -4 + 7. Solve -d = y + b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 72 = 2*b, 5*y + 14 + 89 = 4*b. Let a = -19 - y. Suppose -447*j = -446*j - 11. Solve a = -4*g + q - j, 1 + 0 = g - 4*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04958*18.\nAnswer: -0.89244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 9. Let g(t) = -5*t - 19. What is -4*g(n) + 9*k(n)?\nAnswer: 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/3 + 17*w. Let k be -1 + -3 + 1 + 5. Let s(h) = -2*h**2 - h**2 - 5*h**k. Calculate s(a(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 39 - 2*n**2 + 0*n**2 - 2*n**2 + 3*n**2 - 10 + 4*n. What is q(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, -57, -67, -81?\n\"Answer: -2*r**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023196.5 rounded to the nearest ten thousand?\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, o: 6, e: 3, x: 1, d: 2}. Give prob of sequence eopx.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 630 and 0.7.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1088 - 561. List the prime factors of c.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 603 and 1809?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11935027*t**2 + 11126904*t - 2 wrt t.\nAnswer: 23870054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 2*y - 65. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.729 rounded to zero decimal places?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-4)*1\/((-1)\/(-1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -81.9 (c) -1 (d) -3\/2 (e) 387 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c + 122. Suppose -56*x + c*x = 1500. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266*y + 5 + 5 - 15 + 5 to d*y + p and give d.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 + 0*c**3 + c**3 + 0*c**3 - c**3 - c**3 + (3*c**2 + 2*c**2 - 3*c**2)*(3*c - 6*c + 2*c) + 0*c**3 + 0*c**3 - 2*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1584 - -3173. Let m = f + -10609. List the prime factors of (8\/(-10))\/(11\/(m\/8)).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32714a - 1?\nAnswer: -32714b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 4\/((-60)\/(-43)). What is the closest to 0 in 5, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 48 = -0*c + 4*c, -3*c = -5*r - 91. Let a = r - -24. Let k = 15 - a. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 9 + 37 = 0. Let x = 13 - n. Let w = 297 + -282. What is the greatest common factor of x and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190.41184 - 190. Let p = -97.59 + 98. Let w = s - p. What is w rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6 - 3*c**2 - 2*c**2 - 2*c**2. Let g be (-492)\/16 + 2\/(-8). Let v be g\/(-5) + 3\/(-15). Let p(t) = -6*t**2 - 5. Give v*p(m) - 5*q(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/7 and 0.056 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from utoolotottultttoot.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2768 - -31)*7\/((-21)\/(-4))?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 48. Determine l(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -3, 0 in decreasing order.\nAnswer: 0, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = -60. Suppose -r = -2*d - d, 5*l - d + 10 = 0. Let k = 664 - 663. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.021, -5, -0.2, 6\/7, -2\/21?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 4. Suppose -2*k - 10 = 0, -4*k + 1 - i = b. Solve -2*s - 4*g + 9 = -s, -b = 3*s - g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62757450 by 270.\nAnswer: -232435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 711*z**3 - 30*z**2 - 136809 wrt z?\nAnswer: 2133*z**2 - 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-184)\/1932)\/(4*(-1)\/(-1036)))\/(2\/3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(5\/4)\/l*l)\/((l\/l**8)\/l*l))\/((l**(-5)\/l)\/(l\/l**(4\/13))))**(15\/4) assuming l is positive.\nAnswer: l**(11655\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13968129582144 - 7?\nAnswer: 13968129582137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3250, 2450, 1082, -854, -3358?\n\"Answer: -284*h**2 + 52*h + 3482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-12)\/(-6) + 908.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -615\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737532313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9014614 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3\/26, 2\/9, -0.057?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 48*n**2 + 720*n + 1600.\nAnswer: -4*(n - 10)*(n + 2)*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 9*x + 8. Let d be o(-8). Suppose d = 3*y - 168 + 12. Let p = y + -18. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 15849386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -60*c + 180. Let k be n(3). Solve -z = 1, z + 13 = -3*m - k*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -296 - -372. What is the remainder when 1*-136*(-114)\/p is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 38 (b) 1 (c) -4 (d) -3\/2 (e) 0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -466111 (base 7) in base 4?\nAnswer: -110130211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/2)\/((-6)\/60). Let c be (-358)\/(-10) + 4\/g. Let j = c + -21. Solve -o = 2*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3 + 18. Solve -2*x - 4 = -3*h + h, -s*h + x + 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*b**3 + (-4*b - 6*b + 9*b)*(-b + b + b**2).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3818869383 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 + -2.1. Which is the nearest to -2? (a) 4 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112253\/71 - 1581. Let r = g + 67\/142. Put -5, r, -91, -1 in descending order.\nAnswer: r, -1, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -3*c**5\/22 - 41*c**4\/11 + 148*c**3\/11 + 216*c**2\/11 - 5174*c - 2. Determine b, given that z(b) = 0.\nAnswer: -18, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.48 + 108.48. Which is the closest to 1\/4? (a) 4\/3 (b) r (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7933?\nAnswer: 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/36 - k**3\/18 + k**2\/3 - 14*k + 80. Let z(q) be the first derivative of n(q). Let z(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 242, 199, 128, 23, -122, -313?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2326, -0.03, 18 in descending order.\nAnswer: 18, -0.03, -2326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, -3 in ascending order.\nAnswer: -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 0 - (0 + 0). Suppose l = 13*l - 12564. Suppose -5*o + l = 2*v, -o + v - 207 = -h*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let j be (-7 + 1)*(-2)\/6. Let k(g) = 13*g**j - 14*g**2 + 1 + 24*g**2. Give r(k(u)).\nAnswer: -23*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 1\/42*q**7 - 6 + 2*q - 1\/30*q**6 - 1\/4*q**5 + 4\/3*q**3 + 1\/12*q**4 + 2*q**2. What is t in g(t) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.71784 + 367.31616. Let i = 372 - w. Round i to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 7.3 (b) -0.009 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Let z = -1 + x. Find the third derivative of -s**6 - s**6 + 2*s**2 - z*s**2 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -467630*r - r**3 - 3 + 467632*r + 0*r**3 - 2*r**2. Determine b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 849240 and 4288?\nAnswer: 455192640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -20*((-1)\/(-4) + (-2901)\/(-12)). Let a = 60181\/10 - 6027. Find the common denominator of a and w\/(-336) + 6\/14.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 5\/7 (c) 311 (d) 1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 50 = h + 2*k, 0 = 2*h + 4*k - 40. Let o = 26 - h. Let r = o + 8. Solve -2*t - 1 = -3*n, t - 17 = -r*t + n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2232 and 1584?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1 + -3 + 0. Suppose a = 4*x + 14 - 62. Suppose 4*t + 4 = x. Solve l - 9 = -t*b, 3*b = l - 4*l + 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4606*f - 27646. Determine b(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-48)\/68)*(17 + (-410)\/24)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 12*l**2 - 14*l + 23. Let a be 4 - 2 - (-21 - -10). Let v be p(a). Let t be 1*2\/v*5. Is t smaller than -2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i + 11. Let p be (3 - (-91)\/(-28)) + 23\/(-4). Let g(c) = -14*c - 10. Let n(o) = p*w(o) - 5*g(o). Determine n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/98 + 4*u**6\/35 + 51*u**5\/70 - 2*u**4\/7 - 33*u**3\/14 + 9*u + 106. Determine q so that c(q) = 0.\nAnswer: -3, -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - b + 40, -y - 147 = -197*b + 193*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 295.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let v be 4 + 1 + -2 + 2 + -3. Let g(b) = 0*b**2 - 653*b + v*b**2 + 653*b. Determine g(a(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -303 + 312. Solve 3*p = -9, 0 = 2*u + p + 2*p + j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56320 and 10720.\nAnswer: 3773440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + 37. Let s(v) = -12*v - 575. Calculate the remainder when i is divided by s(-49).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443717 (base 8) in base 11?\nAnswer: 420214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0479 and -2.867244382.\nAnswer: -2.819344382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 10 = -14*g, -2*g = -17507*x + 17509*x + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*w**2*y - 2*r**2*w*y**2 + 64*r**2 + 52*r*w*y**2 + w**2*y - 4*y**2 wrt r.\nAnswer: 2*w**2*y - 4*w*y**2 + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3128251147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u - 4*u + 4*u**2 + 80 - 46 - 5*u**2 - 37. Let z(c) = c**2 - 3*c + 7. Calculate -5*v(y) - 2*z(y).\nAnswer: 3*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226\/13475 - 1\/275. Let z = 1056 - 1051. What is the third biggest value in n, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 0.1, -5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13731, -27460, -41189, -54918?\n\"Answer: -13729*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 1\/3 (c) 55 (d) 0.2 (e) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7 + 5*k**2 - 4*k**2 + 2*k + 6*k. Let c be a(-7). Suppose 2*w = -c*w - 8. Let b(v) = -v**2 - v + 3. What is b(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**2*t*z - q**2*z**3 - q*t**3*z - q*t**2*z**3 + 19*q*t*z**2 + 1500*t**3*z**3 - 3*t**2*z - 3*z wrt z?\nAnswer: -6*q**2 - 6*q*t**2 + 9000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-7)\/2 - -2). Let w(a) = 5*a**2 - 6*a**i - 7*a + 0*a. What is the units digit of w(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 2. Let d be b(8). Suppose 0*a - d = 2*a. Is a at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Let l(b) = 2*b**2 - 950*b + 5631. Let h be l(6). Solve -8 = -h*j - z*p, j - 4*p = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 + 54*o + 209. What is z(-4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.4116 kilometers in centimeters?\nAnswer: 62041160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5392.9668 + -5392.65679897. Let r = -0.31 + f. Round r to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169133043?\nAnswer: 3, 73, 772297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 6*p - 6*p**2)*(2*p**2 + 3*p**2 - 6*p**2).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -144, -584, -1472, -2958, -5192, -8324?\nAnswer: -12504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 231*s**2\/5 + 108*s\/5 + 12\/5 = 0.\nAnswer: -2\/7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1524124256 to the nearest integer?\nAnswer: 39040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 19*n = 30*n - 73606. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/35)\/((-57)\/133)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -416637 - 3?\nAnswer: -416641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56010448 - 10.0397.\nAnswer: 56010437.9603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and -1 + 102\/(15\/5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -523, 6 in decreasing order.\nAnswer: 6, -1, -4, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 202 + -135. Let o(t) = t**2 - t. Let a be o(2). Is (-7)\/(a + (-135)\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*o + 11 = -5*i, -5*i - 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 578*b + 89. Is q(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-11) - (-156)\/(-858). Let l be 2\/(-5) - (-548)\/20. Let v be (-7)\/((-7)\/z) + l - -3. What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 45025518.\nAnswer: 45025518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + 8\/(-40). Suppose y = -7*t + 2*t - 15. Is t >= 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14576799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 8*m**2 + 9*m - 5. Let w be (6\/9)\/(3*(-2)\/81). Give q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = -2*z - 0, -4*z + 4*f + 8 = 0. Suppose 6*c = z*c + 12. Factor -2\/3*s**2 + 0 + 1\/3*s**c + 1\/3*s.\nAnswer: s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 6*a**2 + 592*a + 3500. Calculate w(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3*12\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*85\/136 - 2\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 6*q**2 + 11*q - 12. Suppose 2*d - 2*m + 29 = 7*d, 4*d + m = 25. What is the smallest common multiple of 18 and g(d)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -233318 - 222682. Let v be k\/(-9)*(29*3)\/(-1). What is v rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -522 - -521.7. What is the nearest to 1 in 0.5, 1.2, c, 0?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048813 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g. Suppose -3*b + j = 6*j + 3, g = 5*j + 15. Solve b*l = 2*k + k + 3, 0 = k - l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, k: 6, s: 2, o: 1, p: 4}. Give prob of sequence zsso.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*a - 20, v + 3*v = 3*a + 12. Let y be 1*((4 - v) + -7). Let d be 1 + 79 - (y - -6). What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2584*a**3*n**3*w + 3*a**3*w - a**3 - n**3 + 2*n with respect to w.\nAnswer: -2584*a**3*n**3 + 3*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -10*n + 1. Let y be s(1). Let l(r) = -204*r**2 + r - 5. Let j be l(y). Let d = 34538 + j. What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 1. Suppose -3*g = 5*b - 3*b - 7, -g + 3 = b. Let w(j) = 4*j**3 + 1. Determine g*w(q) - 2*n(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 798, 0, -34, 4 in decreasing order.\nAnswer: 798, 4, 0, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*o + 30, 5*n + 0*o = 3*o + 75. Suppose r - 6 = -s - 0*r, 12 = -4*r. What is the remainder when n is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 94, 190, 286?\n\"Answer: 96*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 - 4572*y**2 + 593096*y - 7418208 = 0.\nAnswer: 14, 133, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 130 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.8 - -50.8. Which is the closest to -1.3? (a) 4 (b) x (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 25. Let w be s(12). Suppose -5*y = w - 31. Find the third derivative of 12*o**4 - 6*o**4 + 16*o**6 + 12*o**2 - y*o**4 wrt o.\nAnswer: 1920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Which is the third biggest value? (a) f (b) -1\/2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 214790056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 12. Give c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1894 or -242?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 7*i - 4. Let x be k(6). Suppose x*c + 0*q = 3*q + 261, -5*c + 681 = 2*q. Let v = c - 81. Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from qqfqqqfqqqqqff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38486, 38481, 38472, 38459?\n\"Answer: -2*k**2 + k + 38487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p**(5\/3)*p)\/p*p**(5\/7)*p assuming p is positive.\nAnswer: p**(92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*o**2 + 0 + 0*o.\nAnswer: 3*o**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398 by 199.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4037761003 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172813?\nAnswer: 61, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, h: 3, c: 4}. Give prob of picking 3 c and 1 h.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4313194 is divided by 6968.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + y + 178, 3*m - 2*y = -m + 234. Let w = m + -59. Suppose -4\/3 + 4*d**w + 4\/3*d**4 + 14\/3*d**3 - 2\/3*d = 0. Calculate d.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/44)\/((-15)\/(-660)*90).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a**2. Let c(u) be the first derivative of u**3\/3 - 8. Determine 10*c(m) + q(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 33. Let b = x - -12.9. What is the second smallest value in -6, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 2, z: 10}. What is prob of sequence zzbm?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205981 is divided by 102984.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 10:46 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Suppose 3*c = g*s - 8, -48 = -4*s - 0*c - 2*c. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1781390 divided by -11.\nAnswer: 1781390\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1753*s**3 - 7*s**2 - 9*s + 5. Suppose 3*c - 11 = -26. Let z be g(c). What is z rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5242*q**2 - 2622*q**2 + 2*q**3 - 5 - 2625*q**2)*(-4 - 2 + 4) in the form y*q + g*q**2 + v + r*q**3 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - u + 3. Let v(y) = y**3 - 5*y**2 + y - 1. Let f be v(5). Suppose f*t = 3*t. Let h be x(t). Solve 17 = -h*m - 2*m - g, 4*g + 23 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/75957 and -2\/21.\nAnswer: 75957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:21 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 1194120709 and -10.6903.\nAnswer: 1194120698.3097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 17. Calculate the remainder when 2\/(-9) + 994\/18 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5676 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093151407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664 = -77*d - 125 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + 3*i + 3 + i - 3 + (3 - 1 + 0)*(5*i - 3*i - 3*i) - 2583*i + 2736 - 2736)*(2*i - i + 2*i)*(0 - i + 0).\nAnswer: 7755*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3.756605 - 79\nAnswer: -82.756605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, 78, 242, 492, 828, 1250?\n\"Answer: 43*d**2 - 51*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(204)\/(sqrt(84)\/sqrt(7)) + sqrt(68)\/sqrt(4)*-1 + (-2*sqrt(34)\/sqrt(2))**2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2144 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*(sqrt(11) + -3) - sqrt(11) - sqrt(11)) + (6*(sqrt(176) - sqrt(11)) - sqrt(11)) + sqrt(11)*2 + 2)**2.\nAnswer: 396*sqrt(11) + 1655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -4*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-12))\/(2\/(-6))*5. Suppose 219 = 4*t - 57. Suppose 4*n - 7 = -2*o + t, 154 = l*o + n. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-160) + 2\/5. Put 0.5, -5, 1\/10, u in descending order.\nAnswer: 0.5, u, 1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12355.98 + 12356. What is the nearest to 1 in b, -3, -5, 22?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-20)*y**(3\/2) assuming y is positive.\nAnswer: y**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9377701 to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159353 a multiple of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.2, 3\/4, -1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/8)*w*w**7*(w*w\/(w\/((w\/(w\/(w**(-1\/3)*w)*w))\/w)))\/w**(-1\/4) assuming w is positive.\nAnswer: w**(187\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1127 + -805. Suppose -c = -326 + t. Solve 2*s + 28 = c*a, -2*s - 18 = -2*a - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6723 and 93474.\nAnswer: 7758342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 316 + -315.93. Which is the nearest to j? (a) 4 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39308\/48 + 20\/240 is divided by 273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 786 and 247983.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64 - 83 + 108)*(-s + 3*s - 4*s) to t*s + w and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1018965.5 to the nearest 100.\nAnswer: -1019000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23826 and 563521?\nAnswer: 37192386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by 20125.\nAnswer: -17\/4025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 4*n + 2*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 30*t - 159. Let d be f(23). Suppose 6*b - d*i = 2*b + 1154, 5*b - 1438 = -2*i. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13305 - y**3 + 62*y**2 - 62*y**2 - 13490 + 26795.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t - 23. Let r(d) = -11*d - 15. Determine -5*p(x) + 8*r(x).\nAnswer: -8*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 + 22*g**2 + 4*g - 9. Let z be y(-7). Suppose 2*a = -2*d - 4 - 0, 4*d + z = 0. Let b(m) = 28*m**3 + m**2. Calculate b(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2 + 6*q - 4 + 0 - 1. What is the remainder when v(5) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 84. Suppose 10*b - 6*b + l = 0. Let t(c) = -67*c + 9. Is t(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**2 + 7*n + 2. Let f(y) = -15*y**2 - 15*y - 5. Let w = 691 + -704. Calculate w*p(g) - 6*f(g).\nAnswer: -g**2 - g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 + -549692?\nAnswer: -549763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8656 and 1259448?\nAnswer: 2518896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2618)\/(-143) + 56\/(-182)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4816158, 4816163, 4816170, 4816179, 4816190, 4816203, 4816218?\n\"Answer: w**2 + 2*w + 4816155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s**3 + s**3 - 4*s**3)*(-s - 2 + 2) - 558298*s**4 + 558300*s**4 + 3767*s**2 - 14756*s**2 to b + h*s**4 + t*s + x*s**3 + d*s**2 and give d.\nAnswer: -10989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1. Let w(l) = l - 4. Let d(m) = -4*j(m) - w(m). Let y(t) = -816*t - 2*t**2 + 816*t. Calculate d(y(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v**3 + 2*v**2 - 1. Let f be k(1). Let g = 32 + f. Calculate the highest common factor of g and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 37. What is the remainder when 27 is divided by y(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -1*sqrt(192)*3)**2*6 + -2.\nAnswer: -20750 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86264 is divided by 237?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r**2 - 15*r**4 + 7 - 3*r + 11*r**2 - 4 in the form y*r**2 + x*r**4 + j*r**3 + m*r + w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 21*y - 2*y**3 + 9*y. Let d(f) = -4*f**3 - 12*f. Let n(k) = -6*d(k) + 8*z(k). What is the second derivative of n(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 - 32 = 0. Suppose -51 + q = 5*c + 5*k, -2*k = -5*c - 28. Let o(m) = -m. Calculate o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*a**3 + 89898*a**2 + 44886069*a - 11976012.\nAnswer: 3*(a + 999)**2*(15*a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3756749?\nAnswer: 947, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 474558082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 298? (a) 0 (b) 0.4 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 4*s + 3*v, -3*v - 12 = -33*s - 264 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -33*q**3 - 2*q**2 - 2*q - 1. Let w be o(-1). Solve -4*b = -4*m, 5*b + 5*m + w = 2*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/7 + 24*w**4\/7 - 38*w**3\/7 - 24*w**2\/7 + 40*w\/7 = 0.\nAnswer: -1, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1499, -3297, -5095, -6893, -8691?\n\"Answer: -1798*a + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*l = -212*l - 5, 0 = -2*r + 2*l + 14 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17493 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/24 + -1 + 2\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/17)\/x*x**(-2\/5)*x*x*(x**(-1\/7)\/x)\/x**(2\/23))\/((x**2)**(-9)\/((x\/(x**(-6)\/x*x))\/(((x*x**(-7))\/x)\/x))) assuming x is positive.\nAnswer: x**(444596\/13685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050591045 rounded to 5 dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/90)\/((-150)\/1125)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4, -1, 25, -2\/31463, 5, 0.3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 6 = 0. Suppose -4*q = 3*m + 3, 2*q - 26 = g*m - 2*m. What is the biggest value in m, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l + 5. Suppose -70*v + 45*v + 15840 = 47*v. What is the remainder when v is divided by r(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2871 and 256795?\nAnswer: 2311155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211113 (base 5) in base 16?\nAnswer: 1b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53535 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 20*w**2 + 1. Let b be k(20). Let r be 5*(1 - 0) + b. Suppose 14 = r*u - 202. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28042411 + -91\nAnswer: 28042320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 5 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4463 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, n: 13, r: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1eca (base 15) to base 2.\nAnswer: -1101000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - f - 2. Let k(h) = 23*h**3 - 75*h**2 - 4*h - 8. Let a(x) = 12*c(x) - 3*k(x). Find the third derivative of a(r) wrt r.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-50)*6 - (-64)\/10. Let l = j + 0. Solve l + 3 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/20 + 3*a**4\/4 - 9*a**2\/2 + 7*a. Let b be x(7). What is the remainder when b\/(2*(-1)\/(-2)) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/30 - 2*l**2. Let s(b) be the third derivative of 0 + b + 0*b**4 - 34*b**2 + 0*b**3 + 2\/15*b**5. Calculate s(y(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24353 (base 13) to base 15\nAnswer: 14a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -46*j + 60. Let a(w) = -w. Suppose 4*r - 4*x = -16, r - 21 = 5*r - 5*x. Let n(d) = r*q(d) - 3*a(d). Find the first derivative of n(g) wrt g.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25\/((-2)\/1106*-7) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 2:58 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose -6 + 0 = -p*l. Suppose 0 = -l*g + g + 4. Solve -g*b = -b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9565.76 to the nearest 100.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/4328879 or 1?\nAnswer: 10\/4328879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 + 5. Is -10 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (141*(-2655)\/(-22184))\/(4\/8*-6).\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236777 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -15, -13, -9, -3?\n\"Answer: m**2 - 3*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from cyyyscyspyyy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6249, -6258, -6261, -6258?\nAnswer: -6249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*k + 2, 3*k + 2 = -u - k. Suppose 35*f - 32*f + 4*b - 17 = 0, -u*b - 8 = -4*f. Solve 2*n - o - 6 + f = 0, 5*n - 3*o = 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1612 + 860 - 249 = -53*m - 586 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 795 = -0*d. Let y be (4\/(-3))\/((-2)\/d). Let o = -71 + y. Calculate the remainder when o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*x - 22, 5*x + 2*l - 1 = 15. Suppose -3*n = n - x. Put 5, n, 0 in decreasing order.\nAnswer: 5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.51 times 808?\nAnswer: -67476.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 - 5*h**2 + 5*h**2)*(3 - 7 + 3) + 2*h**2 - h**2 - 4*h**2 + h**2 - 4*h**2 + h**2 + (-3*h - h + 2*h)*(5*h - 4*h + h).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0085, -0.7, 3, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -100, -160, -222, -286?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1569 + -1087. Let d = z - 183. Calculate the greatest common factor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -937*m**5\/5 - 939*m**2\/2 + 415. Find the second derivative of z(k) wrt k.\nAnswer: -11244*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*2\/(-6) + -4. Let t be (4\/10)\/((-17)\/5 - 2). Are t and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 897*r + 41 = 3*l - 892*r, 5*l + 4*r = -41 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 407898499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7605 + 11781.\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*v + 81. Let z = -107 + 170. What is the remainder when z is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2991*c - 16 = 2987*c, -c + 84 = 5*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 22.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 8. Let o = -6 - 0. Let t(u) = u + 15. Let g(h) = -15. Let v(a) = -3*g(a) - 2*t(a). Give o*v(b) - 11*m(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/6 - 42\/(-63)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 331538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1*(sqrt(700) - (1 + sqrt(700))) + (sqrt(700) - (sqrt(700) + 1)*5))**2 - (2 + (sqrt(567) - 2*-3*sqrt(567))).\nAnswer: 177*sqrt(7) + 6314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -18*s**2 - 123. Let t(w) = -w**2. What is p(t(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 + 25*q**2 - 160*q**2 + 20*q**2 + 29*q**2 + 11*q**2 + 18*q**2.\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -293954395 divided by 4\nAnswer: -293954395\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3012 and 1107412?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322 - -321.8. Which is smaller: z or 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 54?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -800240 (base 11) to base 2.\nAnswer: -100111010100111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216 - -115. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhbhhhbbbhhhhbkhb?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*h - 13588 = -20606 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q + 39397683 = -7*q + 9*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/279*2\/(20\/6).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 1003604?\nAnswer: 33118932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 + 2*t - 8. Let p be c(2). Suppose 56 = p*k + 8. Solve 4*r + k*g - 4 = 0, 7*g - 26 = 3*r + 2*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - 111*v + 113. Give p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q**2. Let w(n) be the second derivative of -5*n**3\/3 + 2*n - 19. Give a(w(f)).\nAnswer: -1900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -101, -130, -179, -254?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2854, -6148, -9842, -13930, -18406, -23264, -28498?\nAnswer: -34102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 divided by 54821?\nAnswer: -137\/54821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 47000?\nAnswer: -94000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(132)*-1 + sqrt(132) - sqrt(132)))\/sqrt(12))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 0*j**4 + 0*j**4)*(-j - 2*j + 2*j) + (j**3 + j**3 - 3*j**3)*(j**2 + 4*j**2 - 2*j**2).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55100 = 276*b - 56756 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 - (-15 - 47)) + (-65 - (3 + -3 - 4)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 24 = -0*j - 4*s, 4*j - 19 = -s. Which is smaller: 11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3405074368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 0.31?\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*i - 7*i**2 - 629 - 629 - 627 + 1885.\nAnswer: -7*i**2 + 65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 368572031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1060294.\nAnswer: 5301470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 14*g + 12 = 13*g, -5*b + 6 = 3*g. Solve 6 = -b*w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476 and 10200?\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) + 3*(sqrt(170) + (sqrt(170) - (1*sqrt(170) - sqrt(170)))) + sqrt(170))) + sqrt(170))\/(sqrt(160)*-2).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1176)\/(-392)*(2010\/(-9))\/10.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3880 (b) -3\/14 (c) -10 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80723 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 11*z - 15. Let g(p) = -83*p**3 + p**2 + p - 1. Let l be g(1). Let u = l + 131. Calculate the remainder when u is divided by x(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3 - 0. Let k be 4\/(-3)*(2 - v). Which is the second smallest value? (a) k (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12652279.\nAnswer: 12652279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2874 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-135))\/((-254)\/(-4572)))\/(3\/1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*v = -5076, -79 + 0 = -5*u - 2*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71.838 - 0.562. Round z to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3160*(8 + -17)\/18. Calculate the highest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 0.1, 2\/75, 14693, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -343*f + 1195. List the prime factors of g(-16).\nAnswer: 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 21, 34, 47, 60?\n\"Answer: 13*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3 - 31*n**2 - 15*n + 3 wrt n?\nAnswer: 6*n - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4027255380 to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169656.\nAnswer: 2, 3, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(85) - -2*sqrt(85)))\/sqrt(5).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.6 - 35. Let t = -1 - 1. What is the second biggest value in p, 0, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4546 - 0.0454. What is the smallest value in 1\/6, -3.2, n, 1\/2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146253 = 3639*l + 82643 - 39301 - 18562 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61293464 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 7, 1, 4324, -4 in decreasing order.\nAnswer: 4324, 7, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-76)\/(-36) + -2)*-3*-6. Find the common denominator of j*404\/8*1\/6 and 11\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 181\/20 or -26\/19?\nAnswer: 181\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m**3 + 535*m**2 + 135*m = 0 for m.\nAnswer: -1\/4, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123*76\/38)\/(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 112, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8512298238 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -439, -1579.\nAnswer: -1579, -439, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58199707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -2. Let r = -17637 + 17610. Which is the smallest value? (a) r (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -2 + (0 - 37) + -1. Let k = -42 - z. Let x be (1*k - 13\/(-26))*-16. What is the highest common divisor of x and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/8051040 and 23\/80?\nAnswer: 8051040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q**2 + 82*q + 2. Let z be g(-6). Suppose 0 = -19*u - z*u + 41481. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20181*r**4 - 78139*r wrt r?\nAnswer: 242172*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 24*t**2 + 29*t**2 - 41*t**2 - 6 - 8*t**2.\nAnswer: 4*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1300)*-1*3 - (-2 + sqrt(1300))*-1) + (sqrt(1300) + 2)*4 + -4 + (sqrt(1300) - -3*sqrt(1300)) + sqrt(1300))**2.\nAnswer: 4080*sqrt(13) + 375844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21038 is divided by 162?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -7 + 2 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 370 + 46. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-5031)\/546)\/(-43))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -444, -3224, -10926, -26010, -50936?\n\"Answer: -410*i**3 - i**2 + 93*i - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 669961529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**3 - 3*z**2 - 2*z + 3. Let k be ((-4)\/10)\/((-52)\/390). Let h(m) = -m**3 + m**2 - m - 1. Determine k*h(v) + o(v).\nAnswer: 2*v**3 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 514541453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a factor of 1030008928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119.1 + 119. Let t = 0.2 + -0.7. Let n = -2 - -1. What is the closest to g in 3\/4, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7731 - 0.0331. Let s = 2.94 - x. Which is the biggest value? (a) -3 (b) -0.5 (c) -2\/9 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549\/4*u + 39\/2*u**2 + 216 - 3\/4*u**3 = 0. Calculate u.\nAnswer: -3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -940*z - 811. Let c(t) = -941*t - 813. Let g(a) = 5*c(a) - 4*x(a). Differentiate g(n) with respect to n.\nAnswer: -945","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/5 - (-132)\/(-165). Suppose f*q + 223 = 2*w, -4*w - 7*q + 439 = -10*q. List the prime factors of w.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -3\/8 (c) -1662 (d) 1 (e) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, g: 5, t: 1, s: 1, i: 1}. Give prob of sequence sj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1093 or -0.4?\nAnswer: 1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/5*5\/(15\/18). Calculate the greatest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 903*4\nAnswer: 3612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857068366.\nAnswer: 2, 3, 4271, 111491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, b: 2, m: 2, e: 1}. What is prob of sequence ibeb?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4281075 and 477?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4828783 to the nearest integer?\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*k = -2*k - 27, 0 = -2*f - 2*k. Suppose -m = -0*y - 4*y - 111, -f*y - 306 = -3*m. Let p = m - 49. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11 - 55 = 0. Suppose 3*d + 2*d + 5 = 2*a, -d + 5*a + f = 0. Let l(r) = r**2 + 3. List the prime factors of l(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 + 697*m**2 + 253*m + 4837. Calculate v(-232).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 84. Solve v - 1 = -j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -0.01. Let c be (-94)\/(-141) - (-14)\/6. Sort t, 2\/7, 1\/4, c in decreasing order.\nAnswer: c, 2\/7, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**3 - 83*l + 13*l**3 + 4*l**3.\nAnswer: -l**3 - 83*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/12 less than -360\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298 + 34. Let f = 147 - o. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39202566 or -39202567?\nAnswer: -39202566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = 4*w + t, 4*w = 5*t + 28. Suppose -2 + 0 = s, 4*x + s = 10. Suppose 0 = -2*g - 3*k - x, -3*g + 5 = 2*k + 2. Does g = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -249946\/3951?\nAnswer: -249946\/3951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 c when four letters picked without replacement from jcjccjcjcjcj.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 600 and 0.09?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Let w be 22 - ((-6)\/1)\/3. Let b be (w\/(-20))\/(6\/(-20)). Are p and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19290)\/4501)\/((-6)\/(-28))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 times 0.1?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 237089274 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-165)*20)\/((-53)\/106)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1264 + 1294. What is the remainder when 566 is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {w: 5, f: 3, x: 3, v: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 2*s + 2*s)*(0 + 4 - 3) + 23 - 23 + 105*s**3.\nAnswer: 104*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/88 and (3\/(-10))\/(3717\/233345).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3538372 millennia in decades?\nAnswer: 35.38372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -552*z + 545*z - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 35*k. Let s(z) = 775063*z**2. Give s(f(d)).\nAnswer: 949452175*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 11. Let y(i) = -i**2 - 10*i - 13. Let s be y(d). Solve 5*b = 5*v + 5, 0*b = 3*v + 3*b + s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 - 202*p**4 + 6932*p**3 - 85140*p**2 + 150282*p - 71874.\nAnswer: 2*(p - 33)**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20 and 95\/354.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/75 + 13*q**5\/300 - q**4\/20 - q**2 + 6*q. Factor x(g).\nAnswer: g*(g + 2)*(8*g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = -3*c. Suppose 2*h = 4*n - 76, -2*h = 4*n + 438 - 474. Put c, n, -4 in decreasing order.\nAnswer: n, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*v + 27, 33 = -0*v + 4*v - 3*n. Let q(b) = -b**2 + 7*b - 3. Calculate q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7766.47*3.\nAnswer: 23299.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, 0.14, 4\/3, -7 in ascending order.\nAnswer: -7, 2\/29, 0.14, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5422 + -5422.1. What is the third smallest value in 5, l, 2\/21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 6*w - 5. Let i be b(-4). Suppose 2*l - 21 = -3*f + 14, 15 = -i*f. Suppose 0 = -4*x - x + l. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 11. Let x be d(17). Let a = x + 41. Determine n so that 34*n**5 - 6*n**4 - 16*n**2 - 14*n**3 - 8*n - 2 - a*n**5 - n = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18399 (base 15) to base 8\nAnswer: -231154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -405*h**5 + 172*h + 713*h**5 - 83*h + 856*h**5 + 270*h wrt h?\nAnswer: 23280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, t: 1, x: 7, e: 1, l: 2, o: 1}. Give prob of picking 2 l, 1 z, and 1 x.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*z - 5, 3*z - 9 = -c + 5*c. Let p(w) = 1. Let u(o) = -o + 6. What is z*u(x) + 4*p(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**2 - v**3 - 2*v - 535*v**4 + 2*v**2 + 632*v**4 + 6*v**2 as t*v**4 + d + b*v**3 + g*v**2 + m*v and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:12 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 2*d, 7*b = -3*d + 5*d + 28. What is the first derivative of 58*y**b - 108*y**4 + 175*y**4 + 179 wrt y?\nAnswer: 500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/47 and -57\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(9*6\/45).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4044 and 22\/639.\nAnswer: 861372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 11. Suppose 4*l - 5*l + 20 = 0. Calculate the least common multiple of n and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*(2 + 9\/(-6)). Let f(g) be the second derivative of 0*g**2 - 1\/60*g**t + 0 - 2*g - 1\/36*g**4 + 0*g**3. Suppose f(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - ((-13 - -9) + -1 - 3)) + -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**4 - 9*z**3 + 96*z**2 - 45*z.\nAnswer: -3*z*(z - 3)*(z + 5)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k**2 + 801*k - 7303. Give n(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-3*w - 55*w + 64 - 65).\nAnswer: 116*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13318 = 5*n + 3*q, -3*n + 5*q = -7976. Suppose -4*x - 4*s - 1316 = -6*x, -4*x - 2*s + n = 0. What are the prime factors of x?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(432) - sqrt(432)*-2) + -2)**2.\nAnswer: 288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 0*y - 1\/2*y**2 - 6. Let p(g) = -3*g + 2. Calculate p(u) - 6*v(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00553408438 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 217\/(-5) + 4\/10. Let d(y) = -y**3 - 4*y**2 - 5*y. Let g be d(-2). What is the remainder when (-2)\/4*g*h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 + 3*o - 1. Let k be n(3). Let u = 4 - k. What is the third derivative of -l**3 - 4 - 3*l**2 + 4 + u*l**2 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/170 and 52\/15.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 smaller than -6937\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56015 + 99.91?\nAnswer: 56114.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**4\/12 - 5*l**3\/3 + 3*l**2\/2 + 1705*l. Let s be (1\/3)\/(3\/72). Determine n(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -27. Calculate the greatest common divisor of k and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3287?\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -3. Let i(k) = k**3 + 16*k**2 + 41*k + 30. Let y be i(-13). Let d(t) = 2*t**2 - 7*t + 2. Calculate the lowest common multiple of m and d(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.048?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -65.52 times 0.2247\nAnswer: -14.722344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 1\/((-1)\/(-8)) - -14. Let i be (-2 - (-42)\/q)*9. Solve i*c = -2*o + 8 + 6, -2*c + 10 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 157350602.9 from 0.069.\nAnswer: -157350602.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 z, and 1 l when four letters picked without replacement from {l: 4, o: 2, z: 4, c: 6, b: 2, f: 2}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123720*f + 123708*f - 69 = -213 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(192) + sqrt(192)) + 0)**2 - (-4 + sqrt(192)*2 + (sqrt(192) - (sqrt(192) + (0 + sqrt(192)*-1 - sqrt(192)))**2)).\nAnswer: 1128*sqrt(3) + 27880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2233 - -5208. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c + 115*c**2 + 3*c + 10*c - 6*c to the form x*c**2 + v + y*c and give x.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16011 - 15780.837. Round x to the nearest integer.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -2*l + 71 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/9 - 16\/9*x**3 - 20\/3*x**2 - 16\/3*x.\nAnswer: -4*(x + 2)**2*(4*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*y = -9*k + 261, -k + 69 = 5*y. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -979 divided by 37\nAnswer: -979\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 7*p**2 - 946*p - 6618. Determine h(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 0, -2 in descending order.\nAnswer: 0, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -215*n**3 - 6*n**2 + 33*n + 474. Let f(l) = 43*l**3 + l**2 - 6*l - 95. Let i(k) = 11*f(k) + 2*r(k). Find the first derivative of i(b) wrt b.\nAnswer: 129*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218.307 * -3\nAnswer: 654.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-8\/9))\/j**3)**(-11))**35)**(1\/44) assuming j is positive.\nAnswer: j**(175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*n + 471, -b + 5*b + 4*n = 1852. What are the prime factors of b?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 914934 divided by 9838\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 297.74 * 51369.\nAnswer: 15294606.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2299) + -1 - (1 + sqrt(76))).\nAnswer: -6 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 25 = 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: Multiply -343547 and 0.2.\nAnswer: -68709.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545736?\nAnswer: 2, 3, 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -2 + 6 + (-5 - (-27 - -52))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7610 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/(2\/(-3)). Suppose -10 = -0*q - x*q. Find the second derivative of 7*t - q*t**4 - 3*t - 7*t**4 + 7*t**4 wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50748 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m + 139. Let d(h) = h + 1. Let n(p) = -2*d(p) + s(p). Let t be n(-9). Calculate the greatest common divisor of t and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58*(-124)\/(-1798) - -7*5\/(-8). What is the fourth biggest value in 2\/11, s, -2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 597a - -58?\nAnswer: 5a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2964830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8861*s + 8729. What is a(1)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -22?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:39 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 1. Let v(z) = -2. Let g(j) = 1. Let m(l) = g(l) + v(l). Let q(b) = 3. Let o(u) = -5*m(u) - q(u). Give -2*h(t) + o(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/120 + j**5\/20 - 31*j**3\/6 - 8*j**2. What is the first derivative of b(u) wrt u?\nAnswer: -3*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1246720*f + 87*f**3 + 1246718*f + 33*f**3 + 15 in the form z*f**3 + c*f**2 + m + q*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54176233 take away -17997?\nAnswer: 17997.54176233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 24. Let i be w(-10). Let l be (-3)\/2*i\/(-36)*-724. Suppose -5*d = 6*x - 2*x - 436, -2*d + 5*x + l = 0. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183631 is divided by 9181.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-5 + 3)*(-2 - -5)\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m - 620 = 0. What is the greatest common divisor of 31 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 + 235*d - 472*d - 195 + 229*d to the form o*d + n and give n.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n - 45. Suppose 0 = -7*a + 1370 + 646. What is the greatest common factor of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*f + 12, 4*z = -4*f + 25 - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1460387 and -0.01.\nAnswer: 14603.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -28 + -36 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 717, 922, 1115, 1290, 1441?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -86. Solve 4*j - 2*i + 3 = -3*i, l = j - 3*i + 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10119987 divided by -11?\nAnswer: 10119987\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8*h**2 - 2*h**3 + 15*h**2 - 9*h**2)*(-4*h + 0*h + 2*h).\nAnswer: 4*h**4 + 4*h**3 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 4. Let y(x) = p*x**3 - x**2 + 1 - x**3 + 0*x**3 - x. Let l(z) = -z**3 + 2*z**2 - 1. Let q be l(1). What is y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2558*c - 2961 = 9829. Suppose 1 = -5*x - 4. Sort c, 0, 7, x.\nAnswer: x, 0, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c**(2\/9)*c)))*c)**(-39))**(-42)*(c**(-3\/2)\/c*c*c**(-1))\/(c**(2\/7))**(-1\/4) assuming c is positive.\nAnswer: c**(8901\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 12 + 15*p + 25\/2*p**2 + 5\/3*p**3 - 5\/4*p**4. Factor d(x).\nAnswer: -5*(x - 3)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-48)\/(-30))\/((-1736)\/(-70)))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:26 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/4 < 1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1377015 and 0.3748.\nAnswer: 1377015.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m + 21 = 36*m. Put m, 4, -5 in increasing order.\nAnswer: -5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 divided by 236?\nAnswer: -120\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggh when three letters picked without replacement from hmmgmghhmhhm?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -2, -7\/3, -0.5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -228.8\nAnswer: 4118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 + 127 + (-1 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 0.1, 3 in decreasing order.\nAnswer: 11, 3, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229342*u**2 + 559*u**3 + 229342*u**2.\nAnswer: 559*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (-4 - (-2 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 17*d**2 - 19*d - 22. What is h(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-88 + (8 - -192))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l**3 + 13*l**2. Let y(r) = 7*r**3 + 6*r**2. Let j = 1 - -4. Let m be (28 - 2)*j\/(-10). What is m*y(n) + 6*a(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 6:26 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 - 4*q + 5. Let k(d) = 6*d**2 + 3*d - 4. Let p(g) = -5*j(g) - 6*k(g). What is p(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46030\/3 + -15342. Put 15, -0.06, -2, -0.5, n in ascending order.\nAnswer: -2, -0.5, -0.06, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1. Let j(g) = 3*g - 4. Suppose -f + 5 = -l, l - 5*f + 2 = -f. Let v(a) = l*y(a) - j(a). Determine v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0436 - 0.136. Let l = z + 0.094535. What is l rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 279 - 57 = 0. Calculate the greatest common factor of t and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/16*20\/(-75)*1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrsimrilsirisii. Give prob of sequence im.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/60 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffifenifeefnffieff. What is prob of picking 2 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 7*y = -170. Suppose 0 = -c - c + 14. What is the remainder when y is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 33. Let t = i + 12. Suppose -v - 51 = -5*j, -2*j + 4*j = -2*v + t. Calculate the smallest common multiple of j and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.77 and 3.\nAnswer: -38.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28009058 and 35805?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.6454 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j*j*j**(-5))**(-10)*((j*(j\/j**0)\/j)**(-2\/7))**(-4\/9) assuming j is positive.\nAnswer: j**(2528\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 17 and 141180\/9053 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*r + 36 = 0, -3*r - 1 = -2*k - 0*k. Suppose 0 = -3*x - 2 + k, 3*d - 4*x - 1 = 0. Does 4 divide 8\/(d*2\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 1042*m - 1048*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3 - 17\/6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -46*c**2 - 44*c**2 + 85*c**2 + c**3 - 1 + 5*c. Let k(q) = -q - 3. Let l be k(-7). Give n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 1, -3 in descending order.\nAnswer: 3, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 219022200 to the power of 1\/2, to the nearest integer?\nAnswer: 14799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqq when three letters picked without replacement from {q: 5, b: 12, z: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8067*r - 8069*r = 5*b + 75, -9*b + 3*r = 135 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89451 or -89504?\nAnswer: -89451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3\/7 - 60*p**2\/7 + 18*p\/7 + 540\/7 = 0.\nAnswer: -30, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/(28\/20). Put -0.4, -3\/2, m in increasing order.\nAnswer: -3\/2, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/7 + 320*l\/21 - 106\/21 = 0. Calculate l.\nAnswer: 1\/3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30794455 divided by 2693\nAnswer: 11435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.3. Let o = 0.2 - 0. Which is the second smallest value? (a) -0.1 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4*v - 6)*(-8 - 1 + 1)*(4*v - 4*v + 2*v)*(-5 + 2 + 1) - 6*v**2 + 4*v**2 + 0*v**2 + v**2 + 4 - 4 + (4 + v - 4)*(0*v + v + 0*v) + v**2 - v**2 + 2*v**2.\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**2 - 6*i + 3. Let n be t(7). Let a = n - 446. Solve 2*o + 9 = -2*o - a*k, -3*o = 4*k + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*f - 16, -4 = -5*i + 5*f + 16. Let t be (-11 + i - -7)*-1. Solve t = 5*b - 3*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391821989 divided by -403?\nAnswer: 972263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6500901 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189717 is divided by 63198?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - 3*d + 3*d**2 - 5*d + d**3 - 2 + 21*d**4 in the form r*d**4 + t*d + p*d**2 + x + o*d**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 19*r + 1444 = 2*r + 1108 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.23 - -0.16. Suppose 15*o - 253 + 253 = 0. Sort a, -1\/4, o in increasing order.\nAnswer: -1\/4, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/9 and -34\/376293.\nAnswer: 1128879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-52)*6*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202021122022 + 10120?\nAnswer: -1202021111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 31. Let g = 328\/5 - 66. Let n = 7\/30 + g. What is the second smallest value in 2, n, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4\/7 + 271302*r**3\/7 - 3798999*r**2\/7 - 16551474*r\/7 + 46128480\/7 = 0.\nAnswer: -90448, -5, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e5 - -3478?\nAnswer: 366d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7537 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 317*n**2 + 237*n + 123622. Determine u(315).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (21\/6*-2 + 1 - -4). Solve 3*f + 3*s + 13 = -w*f, -5*f + 5*s - 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 81729 = 3*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4914 + 10633. What are the prime factors of g?\nAnswer: 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -551749?\nAnswer: -551759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -30*l + 1. Suppose -j = n, 2*n = -4*j + 7*n + 27. Suppose j = 5*p - 2*t, -t = -p - 2*p + 1. Is d(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrxm when four letters picked without replacement from gmrxxxmmrrrrm.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 51*z - 47*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 112 = -2*w. Let q(o) = 9*o - 78. What is the units digit of q(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529832.1 micrometers to kilometers.\nAnswer: 0.0005298321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**3 + 21*m - 3. Let z(p) = -p**3 - 1. Let w(a) = -j(a) + 3*z(a). What is the second derivative of w(y) wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d - 2. Put 3, d, -3 in decreasing order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.14 + -61.140003598. Round u to 7 decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 553*k - 13 = -558*k, -6*u = -3*k + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 11*c**3\/3 + 14. Let h(y) = 2*y. What is h(d(b))?\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1768 + -2908. What is n rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m**2 + 10*m**2 + 32*m - 2 - 1 + 8 as l + z*m + b*m**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**3\/3 - 5*n**2\/2 - 11*n - 8. Is b(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -127773826147.\nAnswer: -127773826146.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(85) - (sqrt(85)*-3 + sqrt(85) - sqrt(85)))*-3)\/((((sqrt(320) - sqrt(320)*3) + sqrt(320) - sqrt(320) - sqrt(5)) + sqrt(5))*-5).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*c + 6. Suppose 0 = -3*m + u + 4, 5*u - 21 = -4*m - 3. Calculate the lowest common multiple of m and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 8*n + 24 = 0. Suppose -3*j = -n*j + 1655. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, -1\/6, 53?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.06 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 440519939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2. Let f(s) = 78*s + 485. What is f(t(i))?\nAnswer: -312*i**2 + 485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 376 + -316. Suppose j*q - 50*q = 240. What is the lowest common multiple of 44 and q?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-26334)\/(-190))\/(-63)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*c = 18, -5*g + 7 = 3*c - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4826665360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.054 (c) 0.4 (d) 14 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 times -0.28?\nAnswer: -313.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2. Let j(l) = -129*l**2. Give j(d(n)).\nAnswer: -1161*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11 - 2 - 9 + 3*n. Let f(s) = s + 1. Let p(d) = -d - 2. Let o(x) = 2*f(x) + p(x). Give o(w(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 b when four letters picked without replacement from rerlbllelblr.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(60)\/(sqrt(4) + sqrt(20)\/sqrt(5) + sqrt(4))*2)\/(sqrt(192)*-2 + sqrt(6)\/sqrt(2)*-4).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 33. Suppose -5*f = -r + 11, -a*f = -4*r + f + 74. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9095.541 years?\nAnswer: 90.95541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b\/b**(-5\/4)))\/(b**14\/b*(b\/b**(-2\/3))\/b) assuming b is positive.\nAnswer: b**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 1. Let w be u(-1). Suppose w = -2*s - s + 174. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 2*g**2 + 2*g - 1035. Let m = 83 - 83. Let i be a(m). Is (i\/(-4) + 1)\/(10\/40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42491103 is divided by 809?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2*-20 - -3. Suppose 0*p - v - 1 = p, p - 5*v = d. Suppose 0 = 4*m - 5*i, 6*i = -5*m + i + 45. Solve 3*b + m*u = 0, 4*u = b + p*b - 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 14, -21.\nAnswer: -21, -4, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - -47) + (5 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 212033511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (358\/30 + -5)*120\/(-160).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 3)*(-6*h + 3*h + 4*h) + 2*h + 3*h - 4*h + 68*h - 26 + 26)*(-115*h + 8*h - 4*h).\nAnswer: -7881*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -43. Suppose -6*b + 9*b - s = 0. Calculate the remainder when 26 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -363 = 657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259304?\nAnswer: 2, 32413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) 5 (c) -2 (d) 17.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -2*y + 59. Suppose -8*j + 6*j = -y. Suppose c = -4*t + 21492, -2*c - 2*c - j*t + 85994 = 0. Round c to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b - 3*i = 22, 10 = 3*b - i. Suppose -b + 1 = -l. Let c = -16 + 18. Solve c*j = -l + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*x - 6, 5*s - 23 = -5*x - 8. Put 10, s, -2 in ascending order.\nAnswer: -2, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20775 is divided by 942.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -15.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3 + 3 - 5 + 3*u - 2*u. Let l be s(5). Suppose l = 4*w - i - 40, 2*w + 2*i = -7 + 27. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5778?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1786237 to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8961572261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 1, 16139 in ascending order.\nAnswer: -1.1, 1, 16139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 + 10136*x**2\/3 - 12811850*x - 231709284.\nAnswer: -2*(x - 7611)**2*(x + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 542 + -542 - (-2 + 1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 2*y**2 + 9*y - 23*y - y + 6*y as g + a*y + z*y**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 3, u: 5}. What is prob of sequence uu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7172969 is divided by 2482.\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, -53, -116, -179?\n\"Answer: -63*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169265 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817807079?\nAnswer: 3, 11, 5007733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527*q**2 + 1528*q**2 + 74 - 4589*q**2 + 1529*q**2.\nAnswer: -5*q**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2300*o**3 - 2*o**2 - 4*o - 2*o**2 + 6*o + 828 + 2299*o**3 + o**2 to f + r*o + z*o**3 + m*o**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627 (base 13) to base 16.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10263)\/(-18) - 1\/6. Let u = -845 - -1420. Suppose -3*k = -5*s - 5*k + u, -3*k + x = 5*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -269*h**4 - 1079 wrt h?\nAnswer: -1076*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 72 + 78. Suppose -4*x = x + 4*d - 180, -2*x + 5*d = -105. Suppose 10*k - x = -h. Solve 7 + 2 = -k*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22943 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 + k - 2. Let o(g) = 22*g**2 - 1031*g - 8. Calculate -4*c(y) + o(y).\nAnswer: -2*y**2 - 1035*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60476 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7050 = 172*a - 125*a. What is the least common multiple of 6 and a?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 3. Suppose 0 = -3*k, -2*k = -5*s - 7*k + 30. Let u(c) = 11*c - 7. Calculate s*u(i) + 13*g(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 + 79*c**2 + 15*c - 19. What is the tens digit of b(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95, -94, -91, -86, -79, -70?\n\"Answer: g**2 - 2*g - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/12 - 5*g**3\/2 + 11*g**2 - 20*g. Let p = 8 + -6. What is the smallest common multiple of p and i(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -0.13 (b) 2\/3 (c) -0.5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.087 + 7.913. What is the nearest to i in -0.5, 2, -2\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v + 5. Let b be 1 + -3 + 1 + 5. Let w be m(b). Solve -w = 6*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*t**3 + 19*t**3 + 4*t**4 + 4*t**2 wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 44*d**4\/7 - 3532*d**3\/7 - 189352*d**2\/7 - 781392*d\/7 + 186912 = 0?\nAnswer: -33, -6, 14\/11, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 301, 0.5, -4.4, 0?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1\/3))**12*(u**(-1))**37*(((u\/(u**(3\/7)\/u))\/u)\/(u*u**5))**(-26) assuming u is positive.\nAnswer: u**(869\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(756)\/sqrt(7) - sqrt(3)) + -3.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*x - 4199 = -243*x + 27*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2510407402.\nAnswer: 2, 59, 21274639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.46412 - 0.06128. Let t = g - -0.0254. Let y = -0.81 - -0.01. What is the nearest to 1 in y, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33582793 + 33582793 - 23*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/((-6)\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*h + 3881 = 0, h + 5822 = 3*j - 3*h. Let c = -3785\/2 + j. Calculate the common denominator of c and -37\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95194 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + -2 + -99 + (171 - 2 - 177).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*y + 8. Let c be 1 - (-1 + -2 - -2). Let i(j) = 2 - j**c - 2*j - y + 3*j. Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 0)*(-3 + 2 - 1)*(z**3 + 2*z**2 - 109*z + 109*z).\nAnswer: 8*z**3 + 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f**2)*(-25*f + 57*f - 35*f + 91).\nAnswer: -3*f**3 + 91*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.81 - -0.80958. Round q to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -1. Let o = 140\/9 - 206\/9. Let x = -8 - o. What is the closest to y in -2, x, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 - 3*z**2 + 2*z - 3. Let j(r) be the first derivative of -9*r**4\/4 - 7*r**3\/3 + 5*r**2\/2 - 6*r - 2447. Determine 3*j(h) - 7*p(h).\nAnswer: h**3 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 1, -2, -66?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/9 (b) 3\/5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 7 - (-14 - -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 8, 0.1, -1, 0.011, -2\/5?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-776)\/(-12)*(2 - -1). Let g = 370 - v. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2 + 121\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*p**3 - 12*p**3 + 13*p**2 - 3*p**2 + (-1 + 1 + p)*(0 + 0 + p**2) + 0*p**3 - 5*p**3 - 3*p**3.\nAnswer: -8*p**3 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3 + 4*g + 5.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 762 and 3048.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6043\/36 - -1648\/9. Let m = 8587 + -59914\/7. Let i = 248\/7 - m. What is the common denominator of i and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625141 is divided by 270839?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 582.\nAnswer: 13\/582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2 and 73\/8461532?\nAnswer: 8461532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 3)*(0*i - 2*i + 0*i) - 12927 + 79*i + 12927 + (-2 + 2 + i)*(0 - 1 + 0) - i - i + i)*(-4 + 1 + 1).\nAnswer: -166*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112517131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*q + 1, -4*o = -2*q - 8. Let n = o - -1. Suppose 4*x + 2*k = 34, -n*k - 15 = 3*k. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p**0*p*p))))\/(p\/p**4*p)*(p**5\/p)\/(p\/(p**(-1\/5)*p*p)))\/((p\/(p\/(p\/(p\/(p\/p**(-2)))))*p)**(31\/2))**(1\/64) assuming p is positive.\nAnswer: p**(773\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -151035 (base 7) to base 14\nAnswer: -a8c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2264436 to 4 decimal places.\nAnswer: 0.2264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 2909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1307.842 meters?\nAnswer: 1.307842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:30 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/12*2 + (-17251)\/(-26). Suppose -23 = -c*z + 663*z. What is the remainder when (0 - (-123)\/(-12))*-4 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1216) + 1))**2.\nAnswer: 576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61.97 * -5.\nAnswer: -309.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3016 + 3031 = 0. Solve 0 = 2*d + 3*k + 26 - 9, -d = -u*k - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/10 + ((-48)\/(-30))\/(-4). What is the smallest value in -2\/9, 0.5, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 3*g + 3*g - 4*g. Let l(h) = 4*h + 1. Let j(k) = -b(k) + l(k). Let t = -3 - -2. Calculate j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 81786392 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 33) + 13 - 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7098 (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 762427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 39 + -11 + (-1 - 34)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453 (base 12) to base 11.\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 14 = -2*x + 9, 3*m - 1 = -4*x. Suppose -v = v + x. Is 2 - 351\/(v + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 10*u**2 + 10*u - 12. Let o be d(9). Let n = o + 3. What is the lowest common multiple of 20 + (-2 + 3)*n and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*sqrt(13)*-2 - (sqrt(13) + -1 + 3)) - (5*sqrt(416))\/(sqrt(22)\/(sqrt(11) - (sqrt(11) - sqrt(66)\/sqrt(6)))).\nAnswer: -29*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -4\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -131. What is the remainder when (4\/10)\/(1\/5) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 264923298.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*z - 187*z = 10144 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 62 + 378. Let y be (-4 - (-316 - -7))*t. What is y rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*p + 3*p - 246, b - 52 = -2*p. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9 (base 13) to base 5.\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010110 - -1011010011100111000?\nAnswer: 1011010100101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 7 + 2)*(1 - 1 - t)*(4 - 9 + 25) to the form q*t + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -2*v + 4, 5*u = -4*v + 33 - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j - 9 = 0. Suppose 3*f + 3 = -i + 10, -2*f = -j*i + 10. Let l be ((-184)\/(-24) + -9)*-6. What is the highest common factor of i and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 77949?\nAnswer: -77949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15980*l - 2221. Is v(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 36. Let t = c + 32. Suppose 13*b = t*b - 10. Solve -b*l = -5 - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -0.01?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 2*x + 0*x + (0 - 1 + 3)*(x + 2*x + 0*x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4558707280 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -10. Let l be (-6 - -3)*(-4)\/o. Solve 2 = 4*n - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 3029020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1447575871 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/28446 and -94\/32325.\nAnswer: 711150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t + 3*k + 9 = 0, -2*t = -2*k - 10. Solve t*f = f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 38, 0, 8 in ascending order.\nAnswer: -5, 0, 2, 8, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**4 + 4*z**2 + 16\/3*z**3 - 3*z - 1\/3*z**6 + 111 + 0*z**5. Find the second derivative of w(d) wrt d.\nAnswer: -40*d**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**6*b**2*y - 24*a**4*y - 2*a**2*b**2 - 35*a*b**2*y - 2*a*b wrt a?\nAnswer: 360*a**3*b**2*y - 576*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8)*-2 - ((1 + sqrt(392) - sqrt(392))**2 - sqrt(392)))*-5.\nAnswer: -90*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**(-2\/31))))\/(v\/v**(-2))*(v**6\/v)\/(v\/(v**(-7)*v*v)))**(-2\/63) assuming v is positive.\nAnswer: v**(26\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.281493 decades in millennia?\nAnswer: 0.06281493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1016903, 1016902, 1016901, 1016900, 1016899, 1016898?\n\"Answer: -r + 1016904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*r + 352 = -637*r - 16*v, 2*r + 2*v + 15 + 29 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3831393?\nAnswer: 3, 29, 47, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27675 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8267567655+-4\nAnswer: 8267567651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -784723*w**2 - 52072*w.\nAnswer: -1569446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35925*f**3 - 11*f**2 - 3*f + 73 wrt f.\nAnswer: 215550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8306852 - 0.0317.\nAnswer: -8306852.0317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**6\/75 + k**5\/10 - k**4\/5 - 4*k**3\/15 + 8*k**2\/5 + 2*k + 8. What is t in u(t) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219 - 440 + 223 + 214*p**3 to f*p**2 + h + c*p**3 + s*p and give c.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487999172 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027523407557 minus 0.012?\nAnswer: 0.015523407557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-112)\/(-6))\/7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 less than 22704906?\nAnswer: 22704902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 h when three letters picked without replacement from {w: 2, h: 2, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854191707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*l - 523*l + 1582*l + 3*l**3 + 23*l**3 - 524*l.\nAnswer: 26*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 87 = -181. Suppose 3*y - 78 = -456. Let f = y - -160. What is the remainder when w is divided by f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15316359, 15316354, 15316347, 15316338, 15316327, 15316314?\nAnswer: 15316299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 2 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 0. Let c = -2 - h. What is the second derivative of -p**4 - p**4 + 3*p + p**2 - p**c wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((10 - 7) + (-1 - 4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 1. Let d(g) = -g - 7. Let b be d(-5). Let q be 20\/6 - b\/x. Solve -q*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 620.94 + -620.978223. What is f rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7574404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3357435?\nAnswer: 3, 5, 223829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 10) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (-37 - 24) - (25 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 16 - 8. Suppose -o + 55 = 3*i, i - 5*o = c*i - 95. Let f = 44 - i. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 44. Suppose f = 31 + y. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 264, 523, 780, 1035, 1288?\n\"Answer: -m**2 + 262*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6086, 6067, 6048?\nAnswer: 6029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 6.\nAnswer: -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011625318 rounded to 5 dps?\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 9 - 9)*((0 + 0 - 1)*(-3 - 2 + 1) - 4 + 0 + 3).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*g = 2*k - 48, -6177*g + 6205*g + 3*k - 94 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*r = -261*r + 549. Let v(m) be the second derivative of -m**5\/10 - m**4\/4 + m**3\/3 - m. Calculate the remainder when r is divided by v(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b)*(-b + 0*b + 3*b + (2*b - 3 + 3)*(4 - 2 - 4))*(-8*b + 4*b - 5*b).\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177692452*k**3 + 172251*k**2 + 9*k - 35.\nAnswer: -1066154712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 53. Let r be (16\/(-14))\/(h\/14). Solve 0 = -r*l + 3*i - 4, l - 8 = 4*i - i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9842 + -16608. Let l = 6766.449928 + b. Let j = l - 0.45. What is j rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 14. Suppose -b = i - 34, i = -x*b - 3*i + 173. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2, -0.63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 3*w - 2. Let v(u) = -4*u**3 - u + 1. Let r be v(1). Let g = 0 - r. Let l(p) = -p**2 + 5*p - 2. Let j be l(g). Give f(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 61*n - 78. Suppose 9*q - 4*q + 15 = 0, 3*d - 24 = 4*q. Is t(d) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 24 = 1. Suppose 0*z = 3*z + 5*p - 10, -2*z + 4*p - 8 = 0. Suppose 0*d + 11*d - 33 = z. Solve -f*u - 27 = -h, -d*u - 6 = 4*h + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36237*s + 17088 = 36059*s for s.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 95 + a?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 4. Let v(d) = 5*d + 3. Let i be 2\/(-1*2\/4). Let t(l) = i*n(l) + 3*v(l). What is t(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:19 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2069*f - 138415. Determine c(-67).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**3*s**2*y**3 - m**3*s**2*y + 17*m**2*s*y**2 + 61*s**2*y**3 wrt y.\nAnswer: 18*m**3*s**2 + 366*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100001010101 - -1011?\nAnswer: 11100001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 0.179, -3?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/2 + 8*j**4 - 237*j**3\/2 - 104*j**2 + 1222*j + 1800 = 0.\nAnswer: -25, -2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(75))**2 + (sqrt(147) - sqrt(147)*2 - sqrt(147)) - ((sqrt(12)*-1)\/sqrt(4) + sqrt(108) + 2)**2)*-6.\nAnswer: -15726 + 204*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 151680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3358874*l**2 - 22*l + 51 - 3358875*l**2 + 2 to the form a + s*l + t*l**2 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1897 and -0.2?\nAnswer: 0.03794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(7)*-3 - sqrt(7) - sqrt(7)))\/(-4*sqrt(1440) + sqrt(1440)).\nAnswer: sqrt(5)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:54 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -402098\/1555 + 1293\/5. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775 (base 9) to base 6.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5782*o = -5810*o + 4284. Solve -o*b = -149*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1162 and 2822?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + v**2 - 35*v**3 - 1 + 4*v - 89*v**4 + 14*v**4 + 74*v**4 to k + s*v**3 + z*v**2 + x*v**4 + g*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*c + 8, -3*n - 3*c + 50 = c. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (15 - ((8 - -25 - 40) + (1 - 1)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/59 - 65\/177. Let x = -19 - -17. Let u = 28\/5 + -181\/35. Which is the closest to m? (a) 0.4 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -139 and 1?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53821 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 88 (b) 0.73 (c) 0 (d) -3\/2 (e) 3\/310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 58744 divided by -1\nAnswer: -58744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (15 - 13 - (-4 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1331021070 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-292000)\/((-64)\/16 + 3). Round g to the nearest 1000.\nAnswer: 292000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 12. What is v rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31569339*c**2 - 3*c + 8625328.\nAnswer: 63138678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 183*f**2 + 382*f. Let u(c) = 550*c**2 + 1144*c. Let g(t) = -13*k(t) + 4*u(t). What is the second derivative of g(w) wrt w?\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(-6\/7))\/o))**(-2) assuming o is positive.\nAnswer: o**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 15) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4281, -4275, -4267, -4257, -4245, -4231?\nAnswer: -4215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 128602.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202097143.\nAnswer: 29, 971, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/23 - 8*b**3\/23.\nAnswer: 2*b**3*(b - 4)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**2 + 0*k**6 - k**3 + 0*k - 6\/7*k**7 + 0*k**5 + 3 + 0*k**4. What is the third derivative of v(g) wrt g?\nAnswer: -720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 15*p**4\/8 - 103*p**3\/6 - 3*p**2 - 27*p. List the prime factors of m(18).\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 19 - 7, -v = -4*f + 19. Suppose 10 = 3*b - 2. Suppose f*k = 12 - b. Solve -5*y = n - k*n - 13, 3*n - 2*y = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44635 from 0.349.\nAnswer: -44634.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16635 or -16563?\nAnswer: -16563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21200 - 13595. Is 7605 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(560)*6)\/((sqrt(660)\/sqrt(108) - sqrt(55))\/sqrt(11)).\nAnswer: -4 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 1169?\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63 and 414617.76.\nAnswer: 414680.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15332.1553 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - u**4 + 0*u**4)*((3 - 5 - 1)*(3 - 4 - 1) - 237 - 234 + 454)*(-4*u - u + 31*u).\nAnswer: -572*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62.85 and 0.1.\nAnswer: 6.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = q - 9, 6 = 2*q - q + h. Suppose 0 = -d + 3*d - 530. Suppose -m + q*x = -d, m + 4*m - 1325 = x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 + 3. Let d be r(-6). Let c be 8\/d*3\/2. Let w = 28910 - 28910.5. What is the third biggest value in w, -3, c, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.85 and -387.\nAnswer: -409.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 4, e: 4, z: 1}. What is prob of sequence ay?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(24\/21))\/((-4)\/(120\/(-105))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 305817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 2)\/2 + 2. Suppose r = -3*p + 2 + 13. Suppose -258 = p*y + 107. What is y rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -40.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l - 2*l)*(9*l**2 - 4*l**2 - l**2 + (-6 + 3 + 4)*(-l**2 + 0*l**2 + 0*l**2)).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 4. Suppose -6 = -j, -9*d + 6*d - 18 = -2*j. Let a(y) = 0 - 5 - 12*y - 12. Give d*a(q) + 9*r(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -194a - -20?\nAnswer: -192a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 8*m**2 + 5 + m**2 + (m - m - 2*m)*(2*m - 3*m + 0*m) - 2 - m**2 + 2 + (-41*m - 40*m + 111*m)*(-3 + 3 - m).\nAnswer: -36*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -247 (b) -1\/4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64314 + 114767. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -375 + 584. Suppose -n = -8*f + 27*f. Sort f, -2, -1, 1 in descending order.\nAnswer: 1, -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-2))\/(64*64\/2048) - 5. What is i in -1\/5*i**4 + 0*i + l + i**3 - 6\/5*i**2 = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8.4, 1\/3, 0.1, 6, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 46*d**2 + 520*d + 248. Give k(23).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.4755 rounded to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1389854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 71 = -24. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/(-28) - (-330)\/35.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k + 34*k - 720 = 16*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 42*x**2 + 87*x + 131. What is n(23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*z + 7*z - 115 = 0, 5*k - 5*z = 135. Let y = 9 + k. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 - 3*j**4 + 3*j**4 + 5*j**4 + j**3 + 5 as f*j**2 + h + r*j**4 + n*j**3 + k*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t + 73*t + 140*t to i + x*t and give x.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 3:23 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -362, -365, -374?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 3 + 19 - (12 + -7)) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -11. Is (14*i)\/(16\/104) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4420.4 + 4420. Suppose -1 - 5 = -k. Let f be (k\/4)\/((-4)\/(-8)). What is the nearest to f in -2\/13, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3431173 is divided by 306?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 262*g**2 - 10*g - 9. Let t be z(-1). Suppose -12*l + t = -97. Calculate the greatest common factor of l and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 4:24 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 37*o - 4768. Let h be m(129). Solve -11 = -3*a + 4*y, h*a = -5*y - 5 - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*j - 46978 - 110972. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394331063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j. Let z(x) = -x**2 + 2*x. What is -l(n) + z(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-33)*42\/(-36) - 3\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/((-126)\/(-35))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 325.5852 + 0.3148. Let f = 351 - q. Round f to 0 dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -126, -195?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*r**3 + 1413*r - 1413*r.\nAnswer: 150*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3758*i**3 + 2837*i wrt i?\nAnswer: 22548*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*p + 60070, -18*p - 60010 = -3*x - 8*p. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0 + 0*u + 7\/6*u**3 - 38*u**2 + 2*u**4. Find the first derivative of a(o) wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(30)\/sqrt(3)) + 1.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1. Let g(b) = -2*b + 7. Let q(p) = g(p) + 7*w(p). Let k(a) = -231*a. Give k(q(d)).\nAnswer: 462*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*h = -0*h - 2, 3*h = 3*u - 3. List the prime factors of 2 - (u\/(-4) + 876\/(-8)).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2)\/(sqrt(36)*-4) - (sqrt(686) - 1*sqrt(686))\/(sqrt(64)\/sqrt(2)).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 31720792*x.\nAnswer: -4*x*(x - 7930198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2183 = 3*b - v, 3*v - 18 = -6. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 + t + 3. Let n(y) = -y**2 + 1. Let i(q) = -g(q) + 3*n(q). Factor i(b).\nAnswer: -b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14790457 to the nearest integer?\nAnswer: 3846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -43)\/56 + (-3)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61687.86863 - -61687. Let k = -0.13145 + i. Let c = 1 + k. Round c to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 6*y - 6. Let p be t(-5). Calculate the highest common factor of p and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*g - 3*l - 17, 3*l = -9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-69)*(-182)\/(-91)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**4 + 2*t**3 - 8*t**4 + 16 - 18 + 49*t as z*t**4 + l + a*t**3 + r*t + i*t**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-3 - -11) - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-559608)\/(-294) + (-4)\/(-7).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3454 (base 6) to base 11\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 2. Let w(d) = -1 - 2 - 1 - 5*d**3. Let j(h) = -4*w(h) + 7*z(h). Differentiate j(q) with respect to q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 0)*(0 + 3 - 2) + 2 - 1 - 3 + 1 + 1 - 4 - 12 + 13 - 24)*(-u + 2*u**2 + u)*(1 + 0 - 2) to the form b*u**2 + t + w*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.397 decades in centuries?\nAnswer: 16.2397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 44*a - 2 - 45*a to the form u*a + h and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + l + 17 = 18, -q + 4 = 4*l. Solve 4*s - 22 = k, -3*k + 12*s - 8*s - 26 = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) 1\/9 (d) 0.09553 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhhhhmmhhh. What is prob of sequence hm?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14*v - 2. Let w(t) = -96*t + 12. Let m(l) = -26*a(l) - 4*w(l). Let k(o) = -1. Give -4*k(n) - m(n).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + -8 + -1 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -342846 divided by -57141\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 37*p - 266 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 4*i**2 + i**2 - 18*i**2 + 120 - 120 + (31*i + 29*i + 76*i)*(0 - i + 0).\nAnswer: -157*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let k be (4\/(-1))\/(1\/r). Let y(f) = -f**3 + 41*f**2 - 115*f + 43. Let j be y(38). Which is the closest to 1\/4? (a) 2\/5 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = p + 9, 3*p - 5*d + 4*d + 19 = 0. Let s = 7 + p. What is the third derivative of -q**6 - q + 0*q + q**s + q wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 20*p + 46. Let c be u(-17). Put 0, c, 4 in ascending order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*w - q + 25, -5*w - 5*q = -105. Suppose -5*l + 36*y + 237 = 32*y, -l + 57 = 4*y. What is the remainder when l is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:05 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/525 and (512\/(-1680))\/32*29.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 2005\/9. Let s = -45.8 + -1.2. Let o = 46.8 + s. Which is the closest to o? (a) -2 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:40 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by -44.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(9) - sqrt(27)\/sqrt(3))*-4 + sqrt(9) + sqrt(45)\/(sqrt(5)*-1))*5)\/(sqrt(243) + (sqrt(243) - -2*sqrt(243))*5 - -4*1*sqrt(243)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeacqjjqajnj. What is prob of picking 1 q, 1 c, and 1 n?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293*696.\nAnswer: 203928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/18*3 + 126\/4. Let f(c) = c**3 - 29*c**2 - 60*c - 33. Calculate the remainder when 108 is divided by f(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*d - 23 = 2*b, 3*d - 46 = -4*b. Suppose -b*j + 7*j = -36. Suppose -645 = -j*h + h. List the prime factors of h.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g + 9*g - 39*g + 17*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(2*sqrt(700) - sqrt(700))*-5*-3 - (((sqrt(700) - (sqrt(700) + 0)) + sqrt(700) - sqrt(700))*-2 - ((sqrt(700) - (sqrt(700) + 1)) + 1))*-4))**2.\nAnswer: 7200*sqrt(7) + 5670016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 - 2 = 0. Let b(c) = 2*c**2 + 6*c - 7*c**2 - 4*c**2. Let z(j) be the third derivative of j**5\/60 - j**4\/24 - 4*j**2. Give l*b(h) - 6*z(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**3 + 26*a**2 + 17. Let h(f) = 6*f - 6*f - 3*f**3 + 9*f**2 + 6. Let y(p) = -6*d(p) + 17*h(p). Find w, given that y(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.5 - 682830087\nAnswer: -682830067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 193903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 4*l)*(0 + 0 + l**2 + (0*l + l**2 + 0*l)*(2 + 4 + 0) - 22 + 8*l - 8*l - 2*l**2).\nAnswer: -10*l**3 + 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 (base 8) in base 14?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*(4\/(-18))\/(10\/(-15))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 2*h**5 + 4*h**3 + (-4*h**2 + 3*h**2 - h**2)*(2*h**3 - 3*h**3 + 3*h**3) - 265*h**2 - 5953*h**5 + 1099*h**2 + 5952*h**5.\nAnswer: -3*h**5 + 834*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t**2 + 8*t + 7. Let f(r) = 12*r**2 - 4*r - 3. Calculate 13*f(j) + 6*k(j).\nAnswer: 6*j**2 - 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.153 (b) 0.1 (c) 0.16 (d) -0.02 (e) 1 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11977 (b) 0.5 (c) -211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -3)\/((-2)\/(-4)). Let x(u) = u**3 + 2*u**2 + 20*u + 7. Let k be x(-4). List the prime factors of (f + 12\/9)*(k + 3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5874 at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b + 61. Let l be s(-16). Suppose 1 + 8 = 3*d. Sort -4, d, l in increasing order.\nAnswer: -4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 76*b**2 + 229*b - 381. Determine p(-4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1000100100101 (base 2) to base 7\nAnswer: -15540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, d: 4, e: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/63 and 26\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 5)*1\/6*(-45)\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374 a factor of 314679484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.07 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q + 51*q + 151 - 64 - 14*q - 24 - 18*q.\nAnswer: 4*q + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 396*z**3 - 2*z**2 + 12*z + 11. Let s be y(-4). Let n = 17553 + s. Is (-3)\/9 - (n\/9 + -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:16 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1) + (-6)\/(-2). Suppose -y + 39 = 2*f, 0*y = -g*y + 5. Let b = f + -9. What is the least common multiple of b and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-352905)\/3 + 3 + -2. Let l = f - -3763807\/32. Let i = l - -279\/32. What is the common denominator of i and -143\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -24299 (b) 3\/7 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Suppose 23*x + 21*x - 132 = 0. What is the units digit of (-7)\/(-14)*(x\/o - -51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**3\/9 - r**2 - 55. Find t, given that f(t) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -107. Let n = q + -54. Solve 8 = 5*c - 2*s + 26, -n = 5*c - 5*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721743200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 115*t**3 + 2 - 4*t - 117*t**3 - 6*t - 16*t**2 to the form b + h*t**3 + v*t**2 + l*t and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2866*x + 6. Let w = 85 + -86. Let v be m(w). Round v to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2\/11, -2\/21, 50, -2\/213, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10010110111101?\nAnswer: 10010110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -454*k**2*q**4 - 109*k**2*q - 235*k*q**5 - 402*k*q wrt q?\nAnswer: -5448*k**2*q**2 - 4700*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -1864, -2, 3, 27 in ascending order.\nAnswer: -1864, -32, -2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7222 and 276.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 285\/(-15) + (62 - -8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 91526\nAnswer: -54915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86, -121, -174, -245, -334, -441, -566?\n\"Answer: -9*u**2 - 8*u - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*n + 11, -4*n = -n - 6. Let k(l) = l**3 - 3*l**2 - l + 1. Calculate k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74910, 149766, 224622, 299478?\nAnswer: 374334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37730894 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 301566011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - -1)*(-1)\/(-2). Let z be o\/9 - (-43)\/9. Let f be (-6*(-1)\/4)\/(-2 + (-399)\/(-190)). Solve m + 2*j = -7, -f = m + 5*j - z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 63480 = 13*a. Suppose -129 = -6*g + a. Suppose -14*v = -2*v - g. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1. Let o = 173 - 172. Let m(f) = -2*f**2 - f - 3. Let a(z) = o*m(z) - 3*y(z). Determine a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/10 - 247*f**2\/5 + 3018*f\/5 - 9108\/5 = 0.\nAnswer: -506, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 + -3.16. Let d = r - -2.99994. What is d rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 76*h**3 + 3*h**2 - 3*h - 6. Let v(t) = -152*t**3 - 5*t**2 + 5*t + 10. What is 3*v(o) + 5*w(o)?\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1069 - -56?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w + 12. What is r(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389588 = 76*x - 179424. List the prime factors of x.\nAnswer: 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -209*n**2*p + 528*n**2*y + n**2 - 203*p*y - 269*p wrt y.\nAnswer: 528*n**2 - 203*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -6, -1.8, -2?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -7 in decreasing order.\nAnswer: 5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 530 + 525 = 1124 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0804 and 5.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 + 20 = 4*n + 5*p, -4*n = -5*p - 248. Suppose -n = -22*t + 31. Let s be 35*1 + -1 - 2. Calculate the greatest common divisor of s and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or -4\/93?\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74463 (base 8) in base 11?\nAnswer: -21347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 7*u**2 + 3*u + 2. Let k be h(-6). Suppose -k = -5*o + 55. Solve 4*l + o = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*d + 29, p + 24 = 5*p - 3*d. Let z = p + -6. Which is the second biggest value? (a) 5 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 8, d + 6*r - 4*r - 18 = 0. Which is the second smallest value? (a) d (b) 2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 2:07 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 2, 15, 32?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**3\/4 - 27039*r**2\/4 + 270057*r\/4 + 297099\/4 = 0.\nAnswer: -1, 11, 9003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from {v: 7, c: 2, u: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 6\/2 - (2 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/232)\/(462\/(-6699))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -53. Let j = 18 + -12. Calculate the lowest common multiple of y and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 15*m**4 - 2*m + 5*m - 1 - 14*m**4 - 6*m + m**2 to n + f*m**4 + r*m**3 + i*m + x*m**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e + -1?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4775.18079 + 103.1.\nAnswer: -4672.08079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 77 - 81b4?\nAnswer: -813a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/126*150\/(-40))\/(75\/6).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451446547?\nAnswer: 451446547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let b(f) = f**2 + 391. What is b(j(v))?\nAnswer: v**2 + 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215.554 + 216. Let o = y + 5.224. Let f = -0.77 + o. What is f rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41.078 + 41. Let k = q + 0.078. Let b = -2.2 - -2. What is the closest to k in 2\/11, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -z + 20, -3*m - 4*z - 32 = -37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82592 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28266012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 6 - 3 = -4*u - 4*p + 21, -3*p - 18 = -12*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 2*s**2 - 4 - 3*s**2 + 4*s**2 + 3*s**2. Let q be h(5). Solve 5*f - f + q = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-249)\/462 - 6\/(-33). Let w = r + 1\/14. Which is the biggest value? (a) w (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 2*f**2 - 70187*f**3 + 7*f**2 + 70221*f**3 to the form w*f**2 + y + u*f**3 + d*f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 n when four letters picked without replacement from {n: 3, w: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8724386 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = f + 7. Suppose 4*m + f = -m. What is the fourth biggest value in 4, m, 5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let h(u) be the first derivative of -5\/3*u**3 + 0*u**2 - 5 + 0*u. Give b(h(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/20*((-2875)\/(-322))\/(-25).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 93*f = 0. Let t(h) be the first derivative of -2\/27*h**3 + f*h**2 - 2\/45*h**5 + 0*h - 1\/9*h**4 - 7. Determine p so that t(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 70.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 + 38 - -41) + (61 - (2 + -3))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 86*n + 196. Calculate the least common multiple of 279 and m(91).\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 35 = -3*x. Let q = x - 75. What is the common denominator of 13\/(-2) - 5\/(-20) and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*6\/(-60) - 1. Let l = -11 + 15.5. Let t = l - 0.5. Put t, -1, o in decreasing order.\nAnswer: t, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a - j - 0*j, 0 = -2*a - j + 6. Is (52 - (a + 2)) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145295 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/107190 and -143\/1620?\nAnswer: 643140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from appp. Give prob of picking 3 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62.2 - 62. Let u = -65 + 716\/11. Sort -0.4, n, u in decreasing order.\nAnswer: n, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-16\/9)*f\/(f\/(f\/f**(7\/10))) assuming f is positive.\nAnswer: f**(-133\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 139 = -h. Suppose -8411*t + 8444*t + 1052 + 2215 = 0. Let q = t + h. Calculate the least common multiple of q and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2112 = -376*c + 380*c, 0 = -3*b + 2*c + 1266. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -2, -3, -17, 1, -21, -4.\nAnswer: -21, -17, -4, -3, -2, 1, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wuuwuuuuuuuu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 391 = 59. What is the remainder when 70 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -5*u**2\/2 + 39*u - 3. Let s be b(7). Solve r + 14 = -3*n, 35 = -s*r - 2*n - 3*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m. Let i be 48\/(-9)*3 + -2. Let y = 9 - i. Let t(v) = y - 2*v - 27. Give t(n(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -1 + 16, 0 = -2*w - 5*s + 47. Let a(i) = i - 7. Let q be a(w). Solve -l - 1 - q = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 2 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u - 130. Let b be d(12). What are the prime factors of 984\/b*(150\/20 - 10)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 - f + 9. Let k be p(-7). Let y be ((k\/(-5))\/(-4))\/(-3). Factor 0*g**y - 4\/7*g**4 + 2\/7*g**5 + 4\/7*g**2 - 2\/7*g + 0.\nAnswer: 2*g*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.6 (b) 0.3 (c) 4 (d) -22 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175567491 is divided by 517?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 less than -351306.983517?\nAnswer: -351180.983517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7865*96\nAnswer: 755040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1992942.\nAnswer: -996471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 20378*f + 387550. Determine w(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 15. Let i(l) = l + 16. Let q(n) = 4*i(n) + 3*s(n). Let t be 4\/(-6) + 4\/6. Is q(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 1440236*v\/3 + 518569933924\/3.\nAnswer: (v - 720118)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 2*n + 3*n**3 + 2 + 7*n**2 + 5*n**3 - 6*n**3. Let c be l(-4). Let p be ((-1 - -1)\/c)\/2. Is p > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 9:26 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**3 - 3*k + 0*k**2 + 0 + 1\/20*k**5 - 1\/6*k**4 - 1\/360*k**6. Let a(n) be the third derivative of o(n). Determine a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -4, -1, 0.04, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w - 1\/30*w**5 + 0*w**3 - 1\/60*w**6 + 2\/105*w**7 - 18*w**2 + 0 + 0*w**4. Solve x(s) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548614.\nAnswer: 2, 11, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 68190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o = -40*o - 63 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 87016*f**2\/3 - 1655470*f.\nAnswer: 2*f*(f - 43565)*(f + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 308*r**3 + r**2 + 6. Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + h - 3. Let q be t(2). Suppose q*l = 2*o + 3*o + 97, 4*o = -8. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5353 or -251598\/47?\nAnswer: -5353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 4*q**3 - 3*q**4 + 5*q**3 - q**3 + 2 to h*q**4 + w*q**2 + p*q**3 + l*q + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -270*s - 113. What are the prime factors of i(-3)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -19 - ((-6 - 0) + (1735 - 1721))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 5*d, -5*i + 9 = -d - 4. Suppose 7*f - 11 - 3 = 0. Let a(y) = 5*y**i - y**2 + y**f - 2*y**2. Let h(n) = -n. Give a(h(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = -315. Suppose -36 = -g + 3*g. Let w = g - -34. What is the remainder when l is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 2*x - 5 + 0*x)*(-113 - 650 + 148) as a*x + p and give a.\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2 + 2*g + 0*g**2 - g**2 + 2*g. Let q be y(4). Suppose -115 = -3*l - q*l. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (-4*sqrt(72)*1 - sqrt(72)) + sqrt(72) + sqrt(72) + sqrt(72)*-2 + 4.\nAnswer: -24*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 7*s + 1. Let m be g(-6). Let k(o) = 6*o**2 + 4*o. Let f(c) = 4*c - 772*c**2 + 779*c**2 + c. Determine m*k(w) + 4*f(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1200 by 24.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 513138864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2130 divided by -6\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:08 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 740675132 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 55. Suppose -9*r + k*r = 16. Solve -3*a = r*w - 23 - 2, -a + 2*w = 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1286192443 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnkkthttnktkttdd. Give prob of picking 3 n and 1 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42429, -84731, -127033?\nAnswer: -169335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 6*v - 2*s - 68, 3*v - 232 = -s. Suppose m = -m + v. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5457 times -19.39\nAnswer: -105811.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268 + 269. Does 3 divide j\/((-1)\/(-107)) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/40 - 131*k**3\/6 - 77*k**2. Let r(a) be the first derivative of f(a). Let b(t) = 6*t. Determine b(r(s)).\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 14*p**2 - 2*p - 130*p**3 - 2 + 13*p**2. Let f be s(2). Let r = 13958 - f. Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q - f, 6*f + 24 = 2*q + 2*f. Is ((-7)\/q)\/((-3 - -5)\/(-148)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 9 = -9*p. Let t be p + (4 - (-28)\/(-36)). Suppose 0 = -2*g + k + 2*k + 14, -3*k = -g + 13. Is t less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840051 is divided by 131431.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48, -95, -144, -195, -248?\n\"Answer: -a**2 - 44*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/2 - 4*j**3 - 9*j**2\/2 - 15*j + 286. Let l be i(-5). Put -4, l, 0 in descending order.\nAnswer: 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 21*n**2 - 9*n. Let s(d) = -5*d**2 + 2*d. Let f(k) = -9*s(k) - 2*u(k). Let y(z) = 0*z**2 - 3*z**2 + 5*z**2 - 3*z**2. Determine f(y(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {k: 2, x: 8, v: 1, h: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4266*2\/5. Let v = -1373801012939263\/42660 + 32203493038. Let k = v + u. Find the common denominator of -97\/4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + t = -148, -c + 3*c = -t + 55. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57229*m - 19004*m - 19620*m - 19292*m + 3 as t + z*m and give z.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 16 - 12 + 28.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3172, -0.045, -0.4?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -52, -4, 3\/62, 0.03?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1138.65 or 2?\nAnswer: 1138.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5628391259?\nAnswer: 5628391259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1080*l - 9 - 19*l**2 - 1080*l wrt l?\nAnswer: -38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 11*g - 13. Let k(u) = u**2 - 6*u + 6. Let b(y) = -5*k(y) - 3*x(y). Suppose 4*f + 17 = -3*l + 20, 31 = 4*f - l. Determine b(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2541)*-5)\/(((sqrt(36) + (sqrt(36)*-3 - sqrt(36)))*-4)\/sqrt(12)).\nAnswer: 55*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 28*b - 27*b**2 - 30*b - b**3 + 35*b**2 - 24. Is q(6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 59. Suppose 4*a + 7 = -x - 12, 0 = 4*a + 3*x + 17. Let v = a + n. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/9, -1118?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1171, -1109, -1051, -997, -947?\n\"Answer: -2*n**2 + 68*n - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4642306 rounded to four dps?\nAnswer: -0.4642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-821*a**2 - 813*a**2 + 1654*a**2 - 28)*(-4 + a**2 + 4).\nAnswer: 20*a**4 - 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = r. Let b be (-18)\/r*2\/3. Factor -2*d**5 - 4*d**3 + 5*d**3 + b*d**5 - 2*d**4.\nAnswer: d**3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((5*(sqrt(75)*-2 + sqrt(75) - sqrt(75)) - 6*(sqrt(75)*-1 + sqrt(75))) + -5)*-6)**2.\nAnswer: 72000*sqrt(3) + 1083600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1016, 1979, 2986, 4043, 5156?\n\"Answer: d**3 + 16*d**2 + 908*d + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y*y\/y**(-2\/21)*(y**(-1))**34)**(5\/4) assuming y is positive.\nAnswer: y**(-1675\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 134*v = 145*v - 2358 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 6*b**2 + 3. Let t be s(6). Let x be 3 - t - 4\/2 - 0. Let q be (-2 + 3)\/(-1)*3. Put q, 1, -6, x in increasing order.\nAnswer: -6, q, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182943 by 60981.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b**3 - b + b - 45*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, g: 6, i: 2, u: 1, r: 2}. Give prob of sequence gudi.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -5\/6*k**4 + 1\/24*k**6 + 0 - 47*k**2 + 0*k**3 + 0*k - 1\/3*k**5 + 1\/42*k**7. Factor y(s).\nAnswer: 5*s*(s - 2)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 56*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12951433.\nAnswer: 11, 17, 69259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (27 + (-10 - 10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1368 and 50\/4236867?\nAnswer: 33894936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, -3, 38\/7, 1\/2?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + c**2 - c - 1. Let x be j(-1). Let t(q) = 6*q - 5. Let p be t(2). What is the derivative of p*n**2 + 20 - 7 - x wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/270 + b**4\/6 - 17*b**3\/27 - 836*b**2. Suppose r(l) = 0. What is l?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 20*s**2 + 47. Determine t(-20).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 5*w + 6. Let n be l(-6). Let r = n - 6. Let o(d) = -d**3 - 7*d**2 - 5*d + 8. List the prime factors of o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*g - 2, -2*l + 3*l = -4*g + 5. Sort 0, l, -1 in increasing order.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 192, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/24 - (6\/8 - 1239\/(-84)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -130344936095 from 1.955.\nAnswer: 130344936096.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1327 - 80943\/2654. Let c = -31 - d. Is -2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9349345 by -1.\nAnswer: -9349345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-3)))\/(i\/(i*i**6*i))*(i*i\/(i*i*i**2*i*i)*i)**31 assuming i is positive.\nAnswer: i**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1411 + 3*t - 1411. Let l(r) = -3. Let m(a) = -a**2 - 5. Let p(o) = 5*l(o) - 2*m(o). Determine w(p(s)).\nAnswer: 6*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1 + -1)*2. Suppose -4*m = -5*n + 8, o*n + 35 = 5*m + 7*n. Suppose -m*k - 13 = -49. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16905557*a**2 - 260*a - 793. Let u be i(-3). What is u rounded to the nearest one million?\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -143, -215, -287?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 12. Suppose x*j + 2*j = -5. Sort -3, j, -4 in ascending order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -2) + (1 + -3 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148131 times 0.34?\nAnswer: 0.005036454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from pppppjjyjjpjy?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 106715127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 41*x - 88. Let u be g(-43). Do u and 1.38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i - 6*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q**2 - 6*q**2 - 20*q**2. Let y(o) = o. Give y(p(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.21*9\nAnswer: -10.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(5)*-2)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30671442\/7 != 4381636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3219, -4609, -6925, -10167, -14335, -19429?\nAnswer: -25449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 2. Calculate i(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (81\/108)\/((58\/4640)\/((-3)\/(-126)*1))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/28890 and -59\/14445?\nAnswer: 28890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -22)\/((-22)\/(-297)). Is 14 a factor of -120*(-3 - (n\/24)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3695*o**2 - 7387*o**2 - 3*o**3 - 6*o**3 + 3692*o**2 - 34*o.\nAnswer: -9*o**3 - 34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31 - ((-38822)\/940 - (-6 + -4))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -71 and -544 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8024756*f - 4012395*f - 4012369*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101251\/95 + (-24)\/(-20)?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 630, 1\/11, 4 in decreasing order.\nAnswer: 630, 4, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let k = 94 + -95. Let y(q) = -1 + q + 2*q - 1. Calculate k*y(h) + 6*d(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 + 4 + -3 + 10136\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**3 - 6*w - 2*w**2 + 14*w - 8*w + 4*w**3.\nAnswer: -15*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, -2, 2\/13, -0.4, 1\/3, -0.25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, 1, 3471, -1 in ascending order.\nAnswer: -5, -3, -1, 1, 4, 3471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 2*q + q + (-5 + 1 + 3)*(3 + 1 - 3)*(-14*q + 25*q - 42*q).\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b + 15*b = 2272 + 219. Calculate the remainder when -1*5*422\/(-5) is divided by b.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:28 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15*25)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -24. Let l(b) = -b**3 - 50*b**2 - 47*b + 183. Calculate the remainder when l(-49) is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfl when three letters picked without replacement from {l: 9, g: 4, c: 3, a: 1, f: 1}.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to 3260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.97 - -440.97. Let l = 437 - f. What is the fourth biggest value in -7, -4, l, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c (base 15) to base 2\nAnswer: 1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153801276 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -7, -11?\n\"Answer: -4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/15 + 386*d**2\/5 - 154*d + 1154\/15.\nAnswer: -2*(d - 577)*(d - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Suppose 5*z = 9 + 1. Put -4, z, y in descending order.\nAnswer: y, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -179, -181, -183, -185, -187?\n\"Answer: -2*j - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8346\/32100*(-48)\/1092.\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let v(c) = 163591*c + 7. Determine v(q(w)).\nAnswer: -163591*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**3 + 2*k - 1. Let j(v) = v - 1. Let h = 30967 - 30969. Give h*j(g) + 2*m(g).\nAnswer: 24*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**4\/2 - 5*l**2\/2 - 2*l. Differentiate x(b) with respect to b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 6:18 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126db (base 15) in base 10?\nAnswer: 58931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/11 + 24*h**3\/11 - 20*h**2\/11 - 24*h\/11 + 2 = 0?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 712077.8 millimeters?\nAnswer: 712077800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/7)\/(-3)*(-4)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24*(-4)\/56 + (2 - 0)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26605 + 48780. What are the prime factors of t?\nAnswer: 5, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/3))**(11\/5)*y**(3\/7)\/((y*y*(y\/(y*(y**0\/y)\/y))\/y)\/y))**1 assuming y is positive.\nAnswer: y**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2358080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 12*l - 2. Determine z(-10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-3\/5)*q)\/q)\/(q**(3\/2)*q))\/(q**9\/(q*q**4)))**5 assuming q is positive.\nAnswer: q**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278503?\nAnswer: 278503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 - (3 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -53.902143.\nAnswer: -54.002143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 33 + 1947 = 0. What is the least common multiple of c and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1434, 5, 3, 9, -3 in descending order.\nAnswer: 1434, 9, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by (8\/2)\/((-4)\/(-22))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.139318 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (-23 + 20 + -15 + 14)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + -0.44. What is the nearest to 1\/5 in 1, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r + 33 - 33 in the form k*r + h and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.6 + -6.6. Let g = r - 90. Which is the smallest value? (a) g (b) -3\/8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4\/19, -5, -347?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-4 + 4))*343. Let f(u) = -t + 343 + 72*u. Let l(z) = -z**2. Determine l(f(i)).\nAnswer: -5184*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*l + 157*l - 77*l - 154 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.7582cm in meters?\nAnswer: 5.487582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -5)\/(-1) + -8. Put -5, d, 0, 1 in descending order.\nAnswer: 1, 0, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 634*n + 1. Let a(z) = -z**3 + 11*z**2 - 10*z + 1. Let w be a(10). Is p(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*w + 39*w - 577846 - 81202. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 34. Suppose -7 = 4*y + 1. Let u be (5\/(-20))\/(y\/136). What is the highest common factor of u and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -3 (b) 0.04 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let k be -48*5\/((-60)\/63). Let a = 5294\/21 - k. Is w greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 54*d**4 - 52*d**4 - d**5 + 18 + 2*d**3 + (2*d**2 + d - d)*(-3*d - 2*d**3 + 3*d) + 1 - 1 + d**5.\nAnswer: -4*d**5 + 2*d**4 + 2*d**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n + 2 + 0 - 10*n + 17*n. Let x be z(-9). Suppose 3*b = x + 1. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d**2. Let q(b) = -6*b - 8. Let v = 151 + -159. Let s(x) = 2*x + 3. Let l(u) = v*s(u) - 3*q(u). Calculate l(y(n)).\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 7. Let a(s) be the second derivative of -2*s + 2\/3*s**3 - 5\/2*s**2 + 0 + 1\/12*s**4. Calculate a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/14*(18 + (-1577)\/95)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1713, -6962, -15737, -28038, -43865, -63218, -86097?\nAnswer: -112502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 29 = 93. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -219*b*t**3 + 2901*b + 3*t**3 + 10 wrt t.\nAnswer: -657*b*t**2 + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -187511.\nAnswer: 187510.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + q - 55 = 11*g, -5*q + 55 = 3*g. Suppose -20031*m**2 + g*m + m**3 + m + 20043*m**2 = 0. What is m?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -16*a + 40. Let b be o(2). What is the remainder when 78 is divided by (400\/35)\/(b\/(-84)*-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(3*sqrt(539) + 5) - 1*2*(sqrt(539) + -1 + sqrt(539)))*-3)**2.\nAnswer: 21294*sqrt(11) + 821340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 = -3*d - 5, -3*d = 2*t - 14. Suppose -6 + 26 = d*v. Let z = 6 - 3. What is the lowest common multiple of z and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -12, 0.5, -0.1, 3\/31?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 94. Give r(-15).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*r + 6354 = -3537. Calculate the greatest common divisor of 147 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1*7296\/1824?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiggigggggi. What is prob of sequence gg?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b - 2*b**3 + 13 + 2*b**3 + b**3 - 6*b to g + l*b**2 + u*b**3 + k*b and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*(1953\/(-280))\/31\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 10*m**4 + 2*m**3 - 226*m**2 + 142*m + 360 = 0.\nAnswer: -5, -1, 9\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = 1. Let q be ((-4 - -2)*1)\/2. What is the least common multiple of (-1 + q)*z - -10 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and 0.059703.\nAnswer: 1.611981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682450 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 - 2*q**4 - 4*q**3)*(q - 2*q - 6*q)*(173 + 136 + 887).\nAnswer: 16744*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**4\/38 + 50*n**3\/57 + 2577. Determine w so that t(w) = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 + 22*m**2 - 14*m + 15. Let r be n(-8). What is the biggest value in r, 1, -0.025, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1eaf (base 16) in base 15?\nAnswer: 24da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 1 + 1 - 8 + 23*x**2 to n*x**2 + i*x + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + f + 1. What is r(-5)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 1749?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 + -8?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -2\/9 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-5) + 1005\/(-1675)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 - -4. Let d = -0.1 + 2.1. What is the third smallest value in d, u, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(-9)\/42.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*i - 19. Suppose 8 + 3 = 4*y + i*j, 2*j - 35 = -5*y. Solve -k - y = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62382, 32, 2\/9 in descending order.\nAnswer: 62382, 32, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 1. Let d be 16\/(-4) - (-4 + 2). Let b(o) = -o**2 + 1. Let s(a) = d*b(a) + 3*m(a). Factor s(k).\nAnswer: -(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(4*sqrt(125)*2 + (sqrt(405) - (-2 + (sqrt(405) - (1 + sqrt(405))))) + sqrt(405)))**2.\nAnswer: 6960*sqrt(5) + 336580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2436, -2435, -2434, -2433, -2432, -2431?\n\"Answer: m - 2437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/28512 and -103\/19008?\nAnswer: 57024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538089 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58694544 divided by 19564848.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(7\/8)\/((z\/(((z\/(z\/(z*z\/z**1*z))*z)\/z)\/z))\/z)**(-6\/23)*(z**(1\/8)\/z**0)**16 assuming z is positive.\nAnswer: z**(40\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2\/5*p**5 + 1\/2*p**6 + 4 - 7\/4*p**4 + 0*p - 2\/3*p**3 + 0*p**2. Factor a(y).\nAnswer: y**2*(y - 2)*(y + 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 58532918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = 0, 12*x - 9*x - 200367 = -2*g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 and 137\/786?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29385.\nAnswer: 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from {u: 2, p: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/4)\/l**(25\/4)*l**(-1\/3)*l*l**(-2\/29) assuming l is positive.\nAnswer: l**(-470\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7613405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 7*g**2 + 4*g - 10. Let m be y(-6). Suppose 124 = m*b - 6. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4803, -3\/8, 4\/7, 3 in descending order.\nAnswer: 3, 4\/7, -3\/8, -4803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - l + 16, -l = 3*b - 0*b - 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1143293 + 6840173\/6. Let f = -3254 - m. Calculate the common denominator of (-190)\/(-36) - ((-85)\/15 - -5) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26307*i**2 + 2*i + 37415 wrt i.\nAnswer: 52614*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/1409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/4 (b) -6\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -14\/33*r**6 - 15 - 9\/11*r**4 + 0*r - 2\/33*r**3 + 62\/55*r**5 + 2\/11*r**2. Let x(d) = 0. What is d?\nAnswer: -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 18*j - 12. What is k(15)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 2*q**2 + 4*q**2 - 2*q**2 - 3*q + 3*q + (2*q - q + q)*(0 + 0 - q) - 4*q**2 - 2*q**2 + 0*q**2)*(2*q**2 + q**2 - 6*q**2).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91017803 and 2491?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16 = 1. Let v(t) = -t**2 - 6*t + 0*t**2 + 5 - 2*t**3 + 2*t. Let z(g) = -g**3 - 2*g + 3. Let u(x) = -4*v(x) + 7*z(x). Determine u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + c**2 - 1. Let a be g(-1). Is 2\/3 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ey when two letters picked without replacement from eey?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let s(l) be the third derivative of -1\/24*l**4 - 8*l**2 + 0*l + 0*l**3 + 0. Give g(s(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2.0357 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r. Let x be v(1). Let t = x - -5. Suppose 0*p - 3*p + 36 = t. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*v - 8, -v + 6*o - 287 + 300 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by 80?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 842, 840, 834, 824?\n\"Answer: -2*t**2 + 4*t + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j - 2*a = -57*j, 2*a = -j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4717\/18 - 262. Let c = -0.1 + -0.1. Sort -5, z, c in descending order.\nAnswer: z, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 52501?\nAnswer: 52506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*n + 30 = 0, 2*j + 20 + 14 = -5*n. Solve -12 = 4*p - j*f, 0 = 3*p - 60*f + 62*f - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 13*q**2 - 11*q + 13. Suppose -4 + 9 = 5*o. Let y be -13 - o*(-1 + (1 - 1)). Calculate l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*x + 1 = -4, 5*u = 5*x - 5. Suppose -5*i + u*t + 799 = -0*t, 4*t + 153 = i. Calculate the greatest common factor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/151368 and 179\/8904.\nAnswer: 151368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039559047 to seven decimal places.\nAnswer: -0.0000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -o - 5*q - 23, q = -4*o + 44 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2138 + -2143. Let b = -12 + 4. Sort j, b, -7 in increasing order.\nAnswer: b, -7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 111741 - -9?\nAnswer: 11174a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*f**3 + (-f**2 + f**2 - f**2)*(0 - 2*f + 0) - 2*f**3 + f**3 + 4*f**3 - f**3 + f**3 - f**3 - 1 - 3 - 12*f**3 - 55*f**3.\nAnswer: -65*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 5072*c**2 + 2542*c**2 + 2533*c**2.\nAnswer: 3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -757\/477 - 16\/53. Let t = 60\/7 - 169\/14. What is the common denominator of x and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**6\/6 - 2*g**5\/5 - g**4\/4 + 2*g**3\/3 - 7. Factor w(h).\nAnswer: h**2*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 5*z - 3*z + 3 + 3*z**5 + 19*z. What is the derivative of w(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/2 + 11*l**2\/2 + 16*l + 14 = 0?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29900 by -20.\nAnswer: -1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 1. Let w be ((-4)\/(-10))\/(4\/40). Let j be (-3)\/12 - 11\/w. Let c be g(j). What is the greatest common divisor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -12 + 8 + 6\/2. Which is smaller: -11\/3 or v?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 3365920*h**2 - 708091956308*h + 1416170448968.\nAnswer: -4*(h - 420739)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a8 + -52?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.88 + 0.12. Let f = -1.44781 + 9.44781. Which is the smallest value? (a) 1\/6 (b) m (c) f (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = 3*x - 4*g, -4 = 2*g. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.05 * 7\nAnswer: -14.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10363*c**4*s - 4*c**3*s - 57*c**2*s + 3*c**2 - 40*c*s wrt c.\nAnswer: -248712*c*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = 27*u + 690. Let c(f) = -3*f**3 + f**2 + 5*f + 2. Let h be c(-3). Let g = h + u. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/27575 and -6\/250381?\nAnswer: 6259525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 8) + 9\/((-9)\/(-5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -8 + 14 + 1 + -13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*x = -197*x + 24 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(800\/(-41376)) - (-13 + -4).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 0.1701.\nAnswer: -0.27216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 104 + -12 - 25.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 153326141 (base 7) to base 5\nAnswer: 10113332242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 74*p**2 - 21 + 175*p**2 + 59*p**2. Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1284 - 1281. Let w(z) = z**2 - 6*z - 7. Let n be w(-4). What is the second smallest value in -0.3, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2639, -10690, -24155, -43034?\n\"Answer: -2707*n**2 + 70*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 39 + 0 = 0. Let n = t - 17. Suppose 4*k - 2 = -n. What is the nearest to -1\/3 in -3, k, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3)*(-2805)\/11. Suppose 385 = 9*u + f. Put 3, 29, u in descending order.\nAnswer: 29, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 25*l = -20*l - 24, -2*s + 4*l = -6. Solve -s*b + 4 = -5*b - 5*c, 3*b - c = -8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.1. Suppose 4*x - 15 = 29. Suppose -9 - 6 = -3*u + 4*i, x = 2*u - 3*i. Which is the nearest to 1\/2? (a) u (b) 2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1039219*z**2 + 39*z - 139413760?\nAnswer: 2078438*z + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28741 divided by -23.\nAnswer: -28741\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5210880344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.488 - -0.388. Suppose 4*z - 7 = 9. What is the nearest to a in z, -2\/9, -0.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqqqqnqnzrq. Give prob of picking 2 n and 1 z.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 1125808?\nAnswer: 1125808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -7. Calculate the greatest common factor of 90 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, -1\/5, 2, 0.06 in descending order.\nAnswer: 2, 0.3, 0.1, 0.06, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awba when four letters picked without replacement from {w: 2, a: 1, i: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2 + 0)*1. Let n = -3 - -5. Is y greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 7 + 5. Let i = -46 - -46. Suppose -2*q + o + 1 = -3*q, 2 = 4*q + 2*o. Solve -z - v*l + q = i, -3*l + 1 = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.03, -9, -2\/7, -2 in ascending order.\nAnswer: -9, -2, -2\/7, -2\/11, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 5*l**3\/3 + 85*l**2\/2 - 90*l - 64. Factor j(r).\nAnswer: 5*(r - 1)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45 - -80) + -278 - -275\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**2\/11 + 4*u\/11 + 16\/11 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4034*k + 4038*k = 2*r - 20, r + 3*r - 80 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 45 - 98 - 48 + 76*p. Calculate the remainder when w(13) is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/341 (b) 4.4 (c) -3 (d) -2\/13 (e) -4 (f) -1\/6 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.099*-161.\nAnswer: -15.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/7)\/(((-4180)\/(-770))\/38))\/(2\/50)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236981.5 centuries in months?\nAnswer: 284377800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 40 = 5*f. Let g be 25\/(-10)*16\/f. Let m be (-84)\/39 - (g + -6). Sort -1\/2, 2, m in ascending order.\nAnswer: -1\/2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 96\/(-18)) + 1\/(-3). Let n(k) = -26*k**y - 23*k**2 - 3 + 47*k**2 - k**3 + 2*k. Let r(g) = -2*g - 1. Let x be r(1). Calculate n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m + 7. Let l(d) = -d - 4. Let s be l(-4). Let n be k(s). What is the second derivative of n*r + 345 + 5*r**4 - 345 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9709 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-62) - ((-115 - 226336\/(-1364)) + (-34)\/(-2))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u*u)\/(u**(-2\/15)*u)*(u**(-7\/4)*u)\/(u*u**(1\/17)) assuming u is positive.\nAnswer: u**(-1709\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.91127 times 0.017\nAnswer: 0.01549159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 - 5*d**2 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/98256 and -21\/92?\nAnswer: 98256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odb when three letters picked without replacement from {d: 1, o: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n, -2*n = -5*j + 2*n - 4. Suppose -6*b + 48 = -2*b - 4*t, 24 = 4*b + 2*t. Let g be j*4\/b + 3. Calculate the greatest common factor of 33 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.88214 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 4, 0, 2, -3, -3001 in ascending order.\nAnswer: -3001, -5, -3, 0, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5009 - -4999.6. What is the second smallest value in -2\/9, -0.07, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222 is divided by 442.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*o + 951 + 1047 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45372?\nAnswer: 2, 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(5 - 1)*-1. Let m = 3 + q. Let a be m - (100001*3 - 1). Round a to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7230365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a century in years?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1299864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 6*y + 4. What is p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10000001?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-15)\/(-18))\/(670\/7571) and -63\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 572*u + 5 - 567*u + 1137*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**2 + 2*b - 2*b + 0*b + 2*b**4 wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*x**3 + 4*x - 4*x + 7*x**3.\nAnswer: -98*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41322, 83427, 125530, 167631, 209730?\nAnswer: 251827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/24 + 5*t**3\/3 + t**2\/2 - 3*t. Let w(s) be the first derivative of i(s). Let z be w(-10). Solve z - 4 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/33)\/(((-26)\/3)\/(-13))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 18*u**2 - 32*u - 17. Let c(s) = 5*s**2 - 3*s - 1. Determine 3*c(i) - y(i).\nAnswer: -3*i**2 + 23*i + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11)\/o)\/o*o**(-2\/11)\/o*o*o\/(o*o*o*o**(1\/5)*o)*o**(5\/2)*((o\/o**(-2\/7))\/o)**(-2\/109)\/(o*o**(-1\/2))**(-2\/71) assuming o is positive.\nAnswer: o**(-18203611\/5959030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 15. Let l = -358 + 364. Let z = o - l. Which is smaller: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 17, s: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272022 is divided by 2623.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*q - 5*p, 5 = -3*q + 2*p - 11. Is -2 + q + 72 - (-1 - -1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/1463, 0.4, 4?\nAnswer: -2\/1463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76022*s**5 - 15*s**2 + 8272916*s wrt s.\nAnswer: 1520440*s**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -3\/8 (c) -6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 + -5 + -8)\/((-2)\/6). Suppose -h*q = q - q. Suppose q = -5*u - 5 + 10. Is 0.5 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 800016, 1600039, 2400066, 3200097, 4000132, 4800171?\nAnswer: 5600214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/13 in -3\/5, 5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -17404?\nAnswer: 17407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -652693\/36 - -18134. Calculate the common denominator of -21\/10 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/12 - 4*y**3\/3 - 3*y**2 + 5*y. What is the tens digit of u(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - -0.29. What is the second biggest value in a, -4, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 326198695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/9)\/(1\/(-3)). Let p(l) = 6*l + 1. Let x be p(-1). Suppose 0 = 3*o + 12 - 0. What is the nearest to 0 in s, x, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-0.2008036.\nAnswer: -1.8072324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15334.01621102 + -15334. Let s = -0.07721163 + g. Let u = -0.061 - s. Round u to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352656687 is divided by 6352.\nAnswer: 6351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1549.998047 - 1550. Round d to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t - 21. Let k be f(4). Suppose 100 = 13*i - k*i. Let c = i - 11. Let h(p) = -8*p**2 - 2*p - 1. Determine h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129352 - 43119 - 19*n - 43115 - 43120 - 50*n + 9*n.\nAnswer: -60*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 4. Let x = -2.19 + 2.09. Sort m, x, -4.\nAnswer: -4, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**3 - 51708*o**2 + 9010740*o - 52203600 = 0?\nAnswer: 6, 170, 17060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 371 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 0, 5*y + 54*u - 3129 = 50*u. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*l**2 + 75*l - 235 - 51*l**2 - 20*l + 31.\nAnswer: -(l - 51)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 0.5, 3\/11 in decreasing order.\nAnswer: 0.5, 3\/11, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 1 - 158 + 63*b**2 - 57*b**2 in the form x*b + z + c*b**2 and give z.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -21*w + 95. Let m(i) = 22*i - 196. Calculate -2*m(n) - 3*u(n).\nAnswer: 19*n + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 607 + -606.7404. Let u = 0.272 - 0.002. Let f = g - u. What is f rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-108)*(-2049)\/(-31) - (-4 - (-60)\/4)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:29 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1166 divide 759704198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 150*h - 3. Let y = -736 - -738. Does 21 divide p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8071 + 48571\/6. What is the common denominator of n and 99\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/5 - 124946*l\/5 + 3902875729\/5 = 0.\nAnswer: 62473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n = 65*n - 90 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*o + 12, 3*n - 4*o + 8 = 7*n. Solve n*s - 64 + 34 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-6)\/4)*4\/5. Suppose -l*z - h = -136, -3*h - 10 + 22 = 0. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/3))**0)**(2\/63)*((a\/(a*a**(-1)*a*a))\/a)**(-3\/50)*a**(-3)\/a*a*a\/(a**2*a*a) assuming a is positive.\nAnswer: a**(-147\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 5*r + r**2 - 3 + 0*r**2. Let p be (2\/(-3))\/((-4)\/(-12)). What are the prime factors of a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 401993*z**4 + z**2 + 2*z + 49779887?\nAnswer: 1607972*z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -48694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 1932*k - 9760.\nAnswer: 4*(k - 488)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 9b?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -990589 minus -0.1?\nAnswer: -990588.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-2 + 1362261\/14). Let t = 97446 + o. Let m = 289\/2 - t. Which is bigger: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 102 (b) -4 (c) -84 (d) 1 (e) 0.2 (f) 15 (g) -15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(18\/15*-5)*13197\/(-53).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 34. Let y(u) = 50*u**2 - 15 - 11*u - 13 - j*u**2. Determine y(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 6:26 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = -0*a. Let m be 95 + -2*(a - 1). Suppose 5*u + c - 70 = 4*c, -4*u - 5*c = -m. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.10152 - 132.36152. What is b rounded to the nearest integer?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2962473 months in years?\nAnswer: 0.024687275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 223 - 1225?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Let h be w - (-3)\/(6\/8). Solve -5*k + h = -14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3681 and 198191993?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 0.3, 4, -9, 79, -0.1?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21350 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = 4*y, -3*y - 2 = n - 10. Let t be 2\/6 + 22\/6. Solve 4 = y*i - t*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1)\/(6\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c*d**3*z - 11*c*d**3 - 24*c*d**2*z + 2*c + 6*d**3*z + 4*d*z wrt d.\nAnswer: -30*c*z - 66*c + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 172. Let n = x + -151. Let l = n - -84. Put 2, l, -4, 3 in descending order.\nAnswer: 3, 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Solve m + m - 4*y - 2 = d, -2*m - 4*y = 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/20 + (0 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from pmppopmm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 w when four letters picked without replacement from {y: 17, w: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -675214, -5 in descending order.\nAnswer: 0, -5, -675214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 217, 896, 2591, 5812, 11069?\n\"Answer: 85*l**3 - 2*l**2 + 90*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-856)\/(-72) + (-3 - 168\/(-54)). Solve 6*i = -6*i + v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 19 = d, -2*d + 13 = -3*r - 27. Calculate the remainder when 66 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 690, 2591, 6316, 12477?\n\"Answer: 102*t**3 - 6*t**2 - 7*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 28. Let a be v(-13). Suppose -3*b + 0*s + a = 5*s, 0 = -b - 3*s + 9. Suppose 511 = 7*j - b*j. What are the prime factors of j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-447*z**2 - 240*z**2 + 872*z**2)*(394*z - 87514 + 87514) as m + y*z**2 + f*z**3 + a*z and give f.\nAnswer: 72890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/270*9 - (-756)\/(-117).\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxxznnx. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 4\/3 (c) 0.4 (d) -1 (e) 2\/17 (f) -775\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*u + 212*u + 6 = 23 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 14, -116 in descending order.\nAnswer: 88, 14, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17732 or -39086?\nAnswer: -17732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 8*t**2 + 3*t - 13. Let c be g(-5). Factor c*m**2 + 27*m**4 + 15*m**3 - 36*m**4 - 60*m + 25*m + 6.\nAnswer: -(m - 3)*(m + 2)*(3*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 27*m + 22 = b, 2*b = -5*m - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 3*f**2 - f**2)*(-2*f**3 + 3*f**3 - 3*f**3) - 2 - f**5 + f**3 + 2 - 2875*f + 2875*f + 932*f**5.\nAnswer: 943*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x + 10. Let b(g) = -6*g**2 - 32*g - 62. Let z(k) = -b(k) - 3*y(k). What is z(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:41 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6103 is divided by 170?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - 3*h**4 + h**4)*(11*h - 8*h - 5*h + 12).\nAnswer: -2*h**5 + 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/27*3\/1*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 3 - 18 - 2*c**2 - 3 + 2*c**2 in the form r*c + v*c**2 + k + l*c**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 215.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 65395\/40426*(-153)\/(-270)\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 8, -21, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1318545, -1318883, -1319221, -1319559?\n\"Answer: -338*i - 1318207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**4 + x**4 + 2*x**4)*(-22 + 1 - 5) + (18*x + 11*x - 19*x)*(-7 - 8*x**3 + 7).\nAnswer: -28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(((v*v**(1\/2))\/v)\/v)))**(1\/7)\/(v**(-1))**(-2\/21) assuming v is positive.\nAnswer: v**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g**2 + 2*g - 1. Let c be v(1). What is the highest common factor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**8\/2940 + j**7\/735 - j**6\/630 - j**5\/105 + 13*j**3 - 84*j**2. Let o(m) be the first derivative of b(m). Solve o(g) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75710 = 22*y - 529702. List the prime factors of y.\nAnswer: 2, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63230671?\nAnswer: 7, 1483, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -82*h**2 + 5817*h + 365. Give u(71).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -641\nAnswer: 3\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5853*j - 634*j + 9099*j + 7227*j - 3421*j to the form n*j + t and give n.\nAnswer: 18124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*x + 2*r = 1076*x + 14, 3*x - r - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 + o - 3. Let b be i(6). Let c = 0.1 - 2.1. Let x = 1.9 + c. What is the nearest to x in -1\/3, -1\/6, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 2606, 8961, 21380, 41885, 72498, 115241?\nAnswer: 172136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 78, 99, 122, 147, 174?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*x - 396*x - 10089 = -497*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 36. Let y(p) = 3*p**2 - 69*p + 30. What are the prime factors of y(z)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -0.5, -4, -11\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.1. Let g = 10.93 + 0.07. Let z = -7 + g. Which is the smallest value? (a) z (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 11*d - 6. Let z(c) = c + 1. Let u(n) = -3. Let j(w) = d*u(w) + 3*z(w). Let r(m) = 1. Let g(p) = -p - 3. Let i(f) = g(f) + 3*r(f). What is i(j(k))?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -77. Let n = 0.4 + -1.3. Let d = n + 0.8. Which is the closest to 0.2? (a) s (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 788, 2002, 3702?\nAnswer: 5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 - 9*z**4\/8 + z**3\/6 - 9*z**2. Let c be m(14). Is 3 - 12\/4 - c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 5. Let x be w(0). Let a(q) be the third derivative of 0*q + 1\/6*q**3 - 1\/24*q**4 + 1\/60*q**x - q**2 + 0. What is a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {u: 1, n: 5, t: 1, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -54, -79, -114, -159, -214?\n\"Answer: -5*l**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20929 is divided by 209.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) 3 (b) -5 (c) 2\/3 (d) 8 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*g + 2*g - 2*v, g + 4*v = 5. Solve y - 5 = 2*n, -g + 38 = 5*y + 4*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1263 - 7c?\nAnswer: 11d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 6*y**2\/5 - 8*y\/5.\nAnswer: 2*y*(y - 1)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047*q**3 + 13*q**3 - 186*q**3 - 554*q**3.\nAnswer: -1774*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - -6)*(-11)\/33. Let t(p) = -p**2 - 11*p - 30. Determine t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Let c(x) = -6*x + 5. Let n(r) = 7*r - 6. Let l(f) = g*n(f) + 6*c(f). Let t(a) = 4*a. Determine 3*l(y) + t(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 - 310*f - 82 + 156 - 3*f - f + 2*f + (-3 - 3 + 5)*(-1 + f + 1) - 3 + 15*f + 2 - 16*f as z*f + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:30 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*z - 70 = 3*a, z + 1 = 0. Suppose 333*i - 7699 = 74*i - 965. What is the remainder when a is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-13)\/x*x)*(x*x\/x**(-5)*x)\/x*x**(-3\/8)*x*x\/((x\/(x*x**(-13)))\/x))**38)**21 assuming x is positive.\nAnswer: x**(33915\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/28*12\/9*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1564 + -1090.5. What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 0.2 (b) -2 (c) 456 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*c = 2*c - 252. Sort c, 1, -8 in decreasing order.\nAnswer: c, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -301 + 305. Suppose -2426 = 2*r - n*x, -r = -4*r - 4*x - 3629. Round r to the nearest ten.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 - 18*b - 10. Calculate the remainder when t(8) is divided by (-78)\/4*(-12)\/9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 420.49 or 584?\nAnswer: 584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 3 + -1614 - (-9)\/(-3). Let q = 2266 + l. List the prime factors of q.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = 2*g + 1, 3 = -g + 2*l. Let v = 96 + -79. Suppose -2*o - g = -v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 29. Let x be i(5). Calculate the greatest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*x - 95*x + 1617 = -13664 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144797 is divided by 2862?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 9*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4\/11))**(5\/12) assuming n is positive.\nAnswer: n**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 22*o**2 - 21*o + 13. What is t(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22257186.\nAnswer: 2, 3, 7, 529933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93624*l**4 - l**3*n + 87*l*n - 2*l + 135 wrt l?\nAnswer: 1123488*l**2 - 6*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-49) - (-19)\/7. Let c(f) be the first derivative of 3*f - 1 - 2\/3*f**b + 0*f**2. Differentiate c(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 98. Let u be w(-3). Suppose -5*k = -2*c - u, -4*k = 16*c - 19*c - 95. Solve 3*v = 7*v + m - k, -5 = -v - 5*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 3*t - 4. Let w(z) = 7*z**2 - 7*z - 9. Let a = -8 - -13. Let m(i) = a*b(i) - 2*w(i). What is the units digit of m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(33\/(-15) + 1). Let o = j - -3. Let a be (-2 + 1*-2)*1. Which is greater: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230979 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.1. Which is the closest to z? (a) 1\/11 (b) -14 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7213787.577 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -70106425.8 to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 + 77*m + 9. Let w(h) = -h**2 + h - 2. Give k(b) + 6*w(b).\nAnswer: b**2 + 83*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754744?\nAnswer: 2, 43, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(-2 + 6 + 1)*(-5*s + 3*s + 4*s) to c*s + y and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -w - 4, 9*l = 5*w + 4*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -559\/44916 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15080 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 96.626 and -72521424.\nAnswer: -72521327.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42929 + 3*k + 84894 - 42543)*(2*k**3 - 4*k**2 + 4*k**2 + (-5*k + 2*k + k)*(1 + 2*k**2 - 1)).\nAnswer: -6*k**4 + 1156*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -8, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5396*r - 1431*r + 13921*r**3 - 1 + 1 + 1485*r wrt r.\nAnswer: 83526*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231955 divided by 637?\nAnswer: 231955\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 4 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4711017*v**2 - 17775886*v.\nAnswer: 9422034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 312 = -22*h. Calculate the greatest common factor of 91 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75136 or -1728147\/23?\nAnswer: -75136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -35 + 55 - (7 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -5, 5.\nAnswer: -171, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*y + 56 + 28 = 0. Which is smaller: y or -4\/709?\nAnswer: -4\/709","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**3 + 6*u**2 - 4*u - 6. Let f be -2 + 2 - -3 - -3. Let k = 839 - 844. Let t(g) = 7*g**3 + 5*g**2 - 3*g - 5. Give f*t(s) + k*i(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3142 - -3140) + (0 - 0 - (-98 - 3)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 2}. Give prob of picking 1 t and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 3, r: 2, y: 9}. What is prob of picking 1 a, 1 r, and 2 d?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1164173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -3)*-1*(-1)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.87 greater than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1238 = 2*b + 488. Is b a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240911604 to the power of 1\/3, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 446201 + -56844. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - ((1 - -3) + 138). Let w = s + 147. Sort 0, w, -1.\nAnswer: -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1305446 (base 9) to base 16\nAnswer: -adf97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 6. Let s be 165\/66 - (-1110)\/4. Suppose -18*j + 10*j + s = 0. What is the remainder when j is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1113894mm to nanometers.\nAnswer: 111389.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45583 divided by 70\nAnswer: 45583\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14.734, 0.2, 1\/68?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55270.9km to micrometers.\nAnswer: 55270900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + p**2 - 7. Calculate m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-618)\/1236)\/((2\/12)\/((-70)\/15)). Solve -3*c + 2*h - 4 = 0, -9*c + k*c + h = -24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1085 + 4?\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r - 61*r + 11*r**3 - 17*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 60*w + 160.\nAnswer: 5*(w + 4)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 26 = -106. Let d be (-17 - -2)*3\/(-9). Put d, p, 0 in increasing order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.24 + -3.37. Round p to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 22 - 43 + 21.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*g = 10, -387*p - g + 2 = -386*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 548, -1, 3\/4, 1\/4, 0.2 in increasing order.\nAnswer: -1, 0.2, 1\/4, 3\/4, 548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 436, -9, 5 in increasing order.\nAnswer: -9, 5, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 618070290*f - 1236140568.\nAnswer: -3*(f + 2)*(f + 206023428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 1743.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 16*d - 18 = 0. Let h = -24 - -24. Solve -2*l - d*y - 3 = 0, l + h*y = -2*y - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -21*(-1)\/(-9) + 0. Which is the closest to n? (a) 1 (b) -5 (c) -0.3 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/2700*48)\/(2\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o**2. Let v(f) = -5872*f. Give v(q(a)).\nAnswer: 58720*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/245 and -59\/35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 156*x - 64. Let o(p) = 1666*p. Determine b(o(n)).\nAnswer: -5551112*n**2 + 259896*n - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Let l = v - 0. Suppose l*y + y = 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11a73 - -4?\nAnswer: 11a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(-1 + 1 + 2)*(4*a - a - 2*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*h + 14, -5*h + 6 + 19 = -3*r. Calculate the remainder when (h + (2 - 3))*41 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*r + 2696 = -416*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 78.9896. Round r to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + u + 3 = -3, -5*n - 3*u = -14. Suppose -n*s + 5*s = 4. Suppose -s*d + 30 = -18. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/4 - 5*z**3\/3 + 3*z**2 + 22*z. Is s(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 7*j - 8. Let u(c) = c - 1. Let d(z) = a(z) - 4*u(z). Let r = 4 - 9. List the prime factors of d(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:52 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 5. Let o be (g\/2)\/((-5)\/(-2)). Let z be (-7 - -4)*3\/((-9)\/(-2)). Is z greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**4)\/l)\/l*l**(-12)*l*l)\/((l**(-3)\/l)\/l**(-3\/7)) assuming l is positive.\nAnswer: l**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -27*p**2. Let g(a) be the third derivative of 17*a**4\/12 - 454*a**2. Determine s(g(i)).\nAnswer: -31212*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19561 is divided by 2443?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13952757679.0093 - -13951564468. Let u = b - -1193118. Let q = u + 93. What is q rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*y**2 + 3*y**6 - 16*y**2 - 11*y**2 - 20*y**6 wrt y?\nAnswer: -2040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96105944*z**2 - 9554024*z wrt z.\nAnswer: -192211888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 71*u**2 - 2*u**3 + 136*u**2 - 68*u**2 + 4*u**3 to s*u**2 + n*u**3 + q*u + p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 2*n + 1. Let u be i(0). Suppose 7 = -6*w + u. Do w and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 + m**2 + m - 1. Let c(k) = -5*k - 49. Let h be c(-10). What is i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 12*g + 15. Let j be 30*6\/(-15)*-1. Let r be u(j). Let c = r - -36. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -0.11, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033489 to the power of 1\/2, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49622 is divided by 712?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8181 - -8176. Which is the biggest value? (a) z (b) 1 (c) -1089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z. Let t = -2652 - -3875. Let v(y) = t*y - 1223*y + 4*y**2. What is v(w(a))?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.92 - -0.28. Suppose 0 = 165*a - 103 - 62. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f + 8. Let t(b) = -9 - b**2 + 2*b**2 + 2*b - 15 + 25. Calculate the least common multiple of t(2) and m(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -2*m**6\/15 - 7*m. Factor t(k).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**3\/3 + 5*t**2 + 3*t + 1. Let z be j(11). List the prime factors of 225\/36 + 2\/z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -j + 33, -2*j + 4*j - o - 59 = 0. Suppose 4*r = -l + 823, 3*l - 2542 = -r - j. What are the prime factors of l?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/125 and -7\/25.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*35\/(9240\/(-12))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 24 = 4*v - 19*a, -4*a - 31 = 161*v - 146*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by -6.\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 (base 12) in base 15?\nAnswer: d80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194220090?\nAnswer: 2, 3, 5, 19, 53, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11663 - 128446\/11. Let s be (-1 - 1) + 6\/(78\/(-169)). Do o and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 + 17*g - 23. Let u(i) = -15 - 24 - 7*i**2 - i**2 + 18*i + 15. Let o(c) = -6*k(c) + 5*u(c). Solve o(j) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 55 - -18) + 66 - 9\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/400 and 47\/240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.62 + -63.1. Let i = -0.2 + 0.68. Let s = i + l. Put s, 2\/13, 1\/11 in decreasing order.\nAnswer: s, 2\/13, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 15. Let h be g(6). Suppose -2*u - 77 - h = 0. Let j = -46 - u. Solve j*k = -k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(475) + sqrt(475) + sqrt(475) + -1 - (sqrt(19)*-2 + 4 + 5)**2) + ((sqrt(1368) + -1*sqrt(1368))\/(sqrt(8)\/sqrt(4)*6)*-5)**2.\nAnswer: -154 + 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*v + 28 = -4*v, 0 = -3*v + 15. Suppose -h + t = 3*h. Let u be 15\/(-3)*(3 - 4). Solve -n - 3 = 2*b, -u*b - 3*n - h = 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1363925305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240564, -240304, -240048, -239796, -239548, -239304, -239064?\nAnswer: -238828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 + 3*n. Let b(r) be the first derivative of 14*r**3\/3 + 4*r**2 - 4. Suppose 2*i = 1 - 7. Calculate i*b(x) + 8*q(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -b + 67 + 48, 0 = -4*u + 2*b + 226. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/17, 3, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 496\/(-558)*(-15)\/(-80).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (16\/64 - (-1058)\/(-8)). Let a = i + 49. What are the prime factors of a?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(176) + -1*sqrt(891))*2.\nAnswer: -10*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 4. Suppose 3*n - 4*n + 4*l + 20 = 0, -5*n = -2*l - x. Let w(d) = -d + 179. Is w(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 1524*h - 3049\/2.\nAnswer: (h - 3049)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107237 is divided by 9739?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + x)*(2*x + 3*x - 29*x).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-9)\/(-6))*43. Let c(h) = h**3 - 8*h**2 - 2*h - 6. Let r be c(8). Let o = r + v. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 8}. Give prob of picking 2 n.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 3*k + 6. Calculate c(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1361 and 4?\nAnswer: 5444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 8, -7\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 44 - 20 = 0. Suppose 3*l - f - 22 = 0. Calculate the smallest common multiple of 33 and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 130737*k\/5 - 130736\/5.\nAnswer: -(k + 1)*(k + 130736)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142.3 + -142.2999746. What is k rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 1444, 3264, 5814, 9094, 13104, 17844?\nAnswer: 23314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20087689 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588)\/1225*40\/(-16)*(-260)\/6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. What is the greatest common divisor of w and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.703451 millimeters in meters?\nAnswer: 0.005703451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5540703 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124325\/7 + 17866. Let o = r + -105. Let v be (-1575)\/4851 + 2*2\/22. Is o at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 116.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002820369 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -22, -23, -36, -67, -122, -207?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -20. Suppose -2*x + w = 2*z, 4*x = -5*z + 15 - 3. Suppose 3*o = d + 59, -2*o = -z*d - 59 + 3. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 76*k**3 - 2*k + 2. Determine f(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(99)*2*-6 + sqrt(99))*-2*3.\nAnswer: 792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -434477\/28992 - -8641\/576. Calculate the common denominator of v and 161\/180.\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 355\/32 (b) -4\/21 (c) -0.5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-90) + (-244)\/(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14832*n**4 + 2218 with respect to n.\nAnswer: 59328*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*q = -378*q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 - 6*r**2 + 5 + 0*r**2 - 4*r + 14*r**2. Let x be p(4). Suppose -x*v + 70 = -0*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/7*(-27)\/9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12022121211010201?\nAnswer: -12022121211010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*p - 31. Let y = -6 - p. Suppose -y*n + 858 = 4*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3 - 69*i**2\/2 - 51*i - 16. Let r be f(-22). Solve 0 + r = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 783.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -23. Let v be q\/3 - 8\/(-12). Suppose -3*g = v - 98. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/11 + 122226*f\/11 - 36230720\/11 = 0 for f.\nAnswer: -61408, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16978686 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 13 (b) -151.1 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3008826 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245464?\nAnswer: 2, 61, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2231 divided by 3\nAnswer: 2231\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8 - 31 = -5*z, 3*z - 27 = -5*u. Suppose 642 = 3*d - 3*b, 0 = -4*d + 2*b - z + 852. Suppose d = -21*c + 24*c. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 266, -2, -43 in descending order.\nAnswer: 266, -2, -43, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 7809 - 8995. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 7*x**2 - 5*x + 5. Let n be f(6). Suppose 5*b - 10 = 3*w + 2*w, 4*w + n = 5*b. Suppose -4*v = 5*r - 83, 4*v - b*r - 69 = 2*v. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*y - 2442*y - 4521 - 11985 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1 - 0 - 120\/36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 4*w + 5*w)*(-4 - 2*w - 6 - 16).\nAnswer: -22*w**2 - 286*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1049 - 776. What is the highest common divisor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 1\/4*o**4 + 0*o + 0 + 6*o**2 + 0*o**3. Let k(n) = 2*n**2. Give k(y(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwj when four letters picked without replacement from {w: 3, j: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 6:38 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 93?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -150. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2395*f - 50784 - 10761 = -22975 + 100340 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1631 + 1633. Put b, -1, -5, -0.7 in descending order.\nAnswer: b, -0.7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2355094446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 4*u + 44, 36*d - 45*d + u = 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -221, -405, -585, -761?\n\"Answer: 2*z**2 - 190*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s = 16168 - 92668. Is s a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -16. Let b(j) = 9*j**5 - 11*j - 8. Let d(a) = 3*a**5 - 4*a - 3. Let c(h) = r*d(h) - 3*b(h). Find the second derivative of c(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-45) - (-224)\/36. What is the third derivative of 3*k**6 + 10*k**w + 195*k**2 - 124*k**2 + k**3 wrt k?\nAnswer: 1560*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16202*a**2*y**3 + 2*a**2 - 2*y**3 - 3624 with respect to y.\nAnswer: 48606*a**2*y**2 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a - 57*a = 804. Let r = a - -131. Let n = r - -23. Solve l - n = 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**4\/12 + 13*l**2. Let r(g) = -20*g. Calculate r(j(m)).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*d**4 + 249*d**4 + 3990*d**5 + 104*d**2 - 3992*d**5 + 44*d**3 - 320 - 144*d = 0.\nAnswer: -5, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a)\/a)**27*(a*a**(-1\/2))**(2\/91)*a**(-2)\/(a**(-8)*a)*(a**1\/a)**26 assuming a is positive.\nAnswer: a**(2913\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.5 + 120. Which is the nearest to -1\/2? (a) -1 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/24 + (-8)\/(-15). Let w be -2*4\/(-14)*-171. Let h = -98 - w. What is the nearest to h in -1\/8, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -5\/4*y**4 - 8*y - 15\/2*y**3 + 0*y**2 + 0. What is the second derivative of v(u) wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -1599971478.4168.\nAnswer: 1599971496.4168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 - 2*u**3 + 3*u**3 + (u**3 + 0*u**3 + 0*u**3)*(-1 - 1 + 0)*(-4 + 3 + 2)*(-7 + 15 - 6).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.31 - 27.61. Let u = i + 22.6. Let p = 62\/15 + -19\/5. Which is the closest to u? (a) p (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Suppose r - 12 = -p*r. Suppose -5*c + r = 3*z, -z + 5*z + 5*c = 16. Solve 0 = -5*m, -z*a = -6*a - m + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b)*(-28*b + 28*b - b**4).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, -28, 0.\nAnswer: -28, -14\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 2*x**2 - 4*x + 18. Let j be r(-4). Find the common denominator of (5 + j + -5)*14 and -11\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-3))\/(24\/(-1242))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32952 is divided by 16401?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5966 divided by -573?\nAnswer: 5966\/573","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 - 9 = 0. Solve k*q - 4*i + 6 = i, 0 = 3*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196b (base 13) to base 15\nAnswer: -11dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8314 is divided by 365?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**6\/600 + a**5\/50 - 3*a**4\/40 - 47*a**2\/2 - 3*a + 1. Let c(b) be the first derivative of p(b). Find y such that c(y) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*y**2 - 22 + 29*y**2 + 12 + 9 - y**3 to the form s*y**3 + v*y**2 + o + c*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, e: 3}. Give prob of sequence eee.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -37*l**5 - 10*l**3 + 5*l**2 - 59*l - 5. Let q(o) = 2*o**3 - o**2 + o + 1. Let a(j) = -5*q(j) - v(j). What is the second derivative of a(y) wrt y?\nAnswer: 740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpb when three letters picked without replacement from xxphbpebrpbxr.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, u: 1, a: 2, k: 2}. Give prob of sequence ok.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/5 (b) -1 (c) 3\/4 (d) 196 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67\/3218? (a) -4 (b) -35 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26929 * 32.\nAnswer: 861728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139363858*m**2 + 15225*m - 1998.\nAnswer: -278727716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 - 100*q**2 - 757*q + 83. Give t(-14).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 931452155, 931452156, 931452157, 931452158, 931452159, 931452160?\n\"Answer: g + 931452154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -51. Let y = 8 + z. Calculate the remainder when 56 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7527519 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11\/(r*r\/r**(-4\/7)*r*r)*(r**(2\/35)*r)**(-1\/5))**(-6) assuming r is positive.\nAnswer: r**(-6528\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27338 + -15?\nAnswer: 27323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.9, 109\/4, -5\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 31 = x + 2*u, u + 5 = 0. Suppose d + x = 3*d. Suppose 0 = -2*l - 8, d*i = -i - l + 356. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(432)*2 - ((-1 + sqrt(432))*-6 + sqrt(432)))**2 + -4.\nAnswer: -1344*sqrt(3) + 21228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92\/39 + -22\/13. Let u = 3 - 7. Which is the second biggest value? (a) u (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, -350526973.\nAnswer: -350526973, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {i: 1, j: 1, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 + (-34 - -7). Let b = t - -32. What is the nearest to b in 3\/2, -3, -5\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -6 (c) 6 (d) 2\/3 (e) -3\/4 (f) 0.2 (g) -0.109\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -52*a + 11*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9289 is divided by 355?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 56*r**2 + 100*r - 48.\nAnswer: 4*(r - 12)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*s + 26, -3*p - 37*s = -33*s + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -18731*h**3 + 2*h**2 - 25*h - 13. Is c(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 plus 2.37?\nAnswer: 330.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and -29094862.6.\nAnswer: -29094847.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 4*y + 7. Let s be r(-6). Sort s, -2, 2.\nAnswer: s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(15*x + 14*x + 1046 - 1147)*(2 - 2 + 2) to the form n*x + f and give f.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4244 is divided by 1057?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5597*y**3 - y**2 - y - 1. Let h be s(-1). Suppose 2*k - h = 2658. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*b + 10 = 0, -285*b + 289*b = 8. Factor -2\/7*t**4 + u + 0*t + 0*t**2 + 4\/7*t**3.\nAnswer: -2*t**3*(t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 19*c**2 - 20*c - 8. Determine o(18).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = 29*d. Suppose -2*z + 1 = 3*k - 8, -7 = -3*z + 2*k. Solve s + z*s + 16 = d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -4*s + 3*a, -12 + 68 = -3*s - a. Let u = -6 - s. Solve -5*i - 1 = -u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 5*s + 3*f, 2*s + 2*f = s + 19. Suppose y = -r + s, 0 = r - y - 1 - 20. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**10*u\/u**4*(u\/((u*u*(u**0*u)\/u)\/u)*u)**(1\/75) assuming u is positive.\nAnswer: u**(601\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30155 is divided by 7536.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 0.54 (c) -0.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/2)*b)**33\/((b**10*b)\/(b**(1\/20)*b)))**(-2\/11) assuming b is positive.\nAnswer: b**(-2111\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6822 + 107*y + 6822)*(2*y + 3*y - 6*y)*(-9*y + 21*y + 7*y) to the form j + s*y + b*y**2 + k*y**3 and give k.\nAnswer: -2033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 3.66. Let w = -3 + o. Let i = 5.7 + -6. Which is the biggest value? (a) w (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24150 is divided by 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -262, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let k(q) = 61961*q**2 - 15. Calculate k(b(t)).\nAnswer: 61961*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -616*y**2 + 1110*y**2 + 1040*y**2 + 1351*y**2 + 1320*y**2 to a*y + q + s*y**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26635 or 26457?\nAnswer: 26457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 3}. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33322352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3574 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 0.73 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000148822 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -w. Suppose 0 = -0*h - w*h. Suppose h = -r - 0*r + 16. Calculate the highest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m - 2*m**2 - 6*m + ((0 + m + 0)*(-2 - 2*m + 2) - 2*m - 3*m**2 - m**2 + 3*m**2)*(16 + 19 + 65).\nAnswer: -302*m**2 - 200*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 14 + 26 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 22 = -0*c. Let z = 12 - c. Let u(w) = -15*w - 1. Give u(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*i + 4 = 0, -2*y - 4*i - 9 = -1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9*a**4 + 1060*a - 2117*a - 7*a**4 + 36*a**3 + 1056*a - 3*a**2 in the form f*a**2 + w*a + g*a**4 + u*a**3 + d and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 10*b - 19. Let q be i(13). Suppose 3*o - 136 = q. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.1 + 12. Which is the smallest value? (a) -1 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 19. Let b be 122\/c - 2\/3. Solve -4*u + 2*d - 28 = 0, -5*d = -5*u + u - b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3128628?\nAnswer: 2, 3, 41, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.976 and 0.08.\nAnswer: 0.07808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120 is divided by 277?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-11)*l*(l\/(l*(l*l*l**(-3)\/l)\/l*l))\/l*l**(-2\/17)\/l*l*(l*l*l**(-1))\/l assuming l is positive.\nAnswer: l**(-155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 668916801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352380755 and 38840?\nAnswer: 4855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (486\/(-27))\/(-1 + (-9 - -7)). Solve -234*p - n = -237*p - i, -p + 3*n - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, j: 2, a: 5, f: 3, t: 1, r: 5}. What is prob of picking 1 f, 1 j, and 1 a?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.2, 0.2, 0.05, -2\/55?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u - 11. Let y = 8 + -8. Determine q(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, p: 1, g: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - 4*sqrt(1400))\/(sqrt(512)*-2).\nAnswer: 19*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -8*h**7\/105 + 17*h**6\/10 + 13*h**5\/15 - 38*h**2 + 2*h. Let d(b) = 0. Calculate b.\nAnswer: -1\/4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14269 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: Collect the terms in 3 - 5 + 29*x**2 + 3.\nAnswer: 29*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 96911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -9. Suppose 2*s + 0*s + 3*z - p = 0, z = 4*s - 31. Let b(m) = 7*m - 17. What are the prime factors of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*g**4 + g**5 - 19*g**4 + (-3 - 1 + 0)*(7*g**5 - g + g).\nAnswer: -27*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1*(-15)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 >= 4\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 - 1919*u**3 + 271.\nAnswer: -1919*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*o - 73*o + 15696. Suppose 0 = -11*s + o + 3148. What are the prime factors of s?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -201 (b) -3 (c) -0.08 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 52*d + 23 - 16)*(0 + 1 + 0)*(-d - d + 4*d).\nAnswer: -104*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 244 (c) 0.3 (d) -3\/8 (e) 3 (f) -1\/2 (g) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2522)\/28 - ((-50)\/14 + 4). Let m = -94 - t. What is the biggest value in 3, m, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*l**2 - 1365*l**3 + 2*l + 39*l**2 + 649*l**4 + 1364*l**3 to the form d*l**2 + q*l**4 + y*l + n + c*l**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**2 + 17*r**2 - 432*r - 3*r**2 + 432*r - 5.\nAnswer: -2*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1901, 0.01, 8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqbsbbbsqb. What is prob of sequence bb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 153 + 17?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -24. Suppose b + 2 = n*b. Suppose -2*w = -5*o - b, -2*w + 5*o + 4 = w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1972, 7792, 17444, 30934, 48268, 69452, 94492, 123394?\n\"Answer: t**3 + 1910*t**2 + 83*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -492 - -725. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1794408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12836*u**2 - 8279*u**2 - u**3 - 4557*u**2 - 36 + 36.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3122 - -1069. Suppose 3*r + 89 = -280. Let w = r - z. What is w rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**2 - 67*s wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8104.6453 to the nearest 100.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**3 + 1. Let v(o) = o**2 - 17*o - 109. Let m be v(-5). What is b(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0386418409 to six dps.\nAnswer: -0.038642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/2 - 9623*b\/2 + 24045 = 0?\nAnswer: 5, 9618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 4*s - 14 = 23*p, 2*p = 4*s - 8. Suppose -c - 3*f + 834 = 0, p*f = -0*f - 4. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r + 4*q - 2*q, -5*r - 4*q = -12. Let h = 136 - 80. Suppose -2*n + r*n = -h. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -174 in -2, -3, 0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 179*p**5\/15 + 41*p**4\/6 + p**3\/6 + 300*p**2. Find the second derivative of j(i) wrt i.\nAnswer: 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398640010 a multiple of 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*w + 27695 = 3242*w - 3469 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from bbaudbabuuu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 1688*b**2 + 1688*b**2.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(0 + sqrt(10)\/sqrt(2) + 5)*3.\nAnswer: -120 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/1309*(35\/60)\/((-16)\/48)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 4, -136.\nAnswer: -136, -70, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-210 + 121 - 486)*(-3 + 3 - 2*a) to the form s + c*a and give c.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 19, o: 1}. Give prob of sequence eeee.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*l - 21, -3*l + 4*l - 6 = j. Let o(p) be the first derivative of -3*p**4\/4 - p**3\/3 - p**2\/2 - 2*p - 2. Does 13 divide o(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16446 - z - 32895 + 16449.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-24))\/((4\/(-9))\/(-2)). Which is the third biggest value? (a) -2\/3 (b) -462 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45759)\/(-14))\/(36\/(-216)). What is v rounded to the nearest 100?\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.2. Let d = -0.14 - -0.21. Let s = 0.07 - d. Which is the closest to 0? (a) s (b) -2\/13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/13 + 254*l**3 - 6612*l**2\/13.\nAnswer: 2*l**2*(l - 2)*(l + 1653)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 9, 3 in ascending order.\nAnswer: -5, -2, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290606501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*w + 95 = o, 5*w = 4*o - 185. Let q = o - 38. Solve -q*g + 6*g - 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -242, 138, 784, 1696, 2874, 4318?\n\"Answer: 133*v**2 - 19*v - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-7 - 8) + 8 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7095 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -16 + 4 + 12 + 3 - (-33)\/(-12). Determine r, given that -7\/4 - y*r**4 - 11\/2*r - 5\/2*r**3 - 6*r**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 11*y**2 - 9*y + 1. Give g(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -498 or -493?\nAnswer: -498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/(-80) - (-17)\/(-68).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.144798414 + -0.1448. Round d to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -292, -437?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 5229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. Solve -3*d + p - l*p = 0, 0 = 4*d + 3*p + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(2 - 3))\/((-19)\/76)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 203?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 48 = 39 - 87. Let s(b) be the second derivative of 1\/48*b**4 + j + 0*b**2 + 30*b + 1\/6*b**3. Solve s(a) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9315394 years in centuries?\nAnswer: 0.009315394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -10073.229\nAnswer: -2014.6458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a week?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a factor of 9582121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 + 15 + 2*j**4 - 10*j**3 + 4*j**3 + 4*j**3 + 5*j in the form b*j + t*j**3 + c*j**2 + g + i*j**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295265?\nAnswer: 5, 59053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31598 and 12950?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-35)*(-4)\/(-16)*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1426 divided by 24\nAnswer: 713\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*o - 10 = 220*o - 109*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1341 (base 8) to base 16.\nAnswer: 2e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2237 - 1949. Calculate the lowest common multiple of g and 336.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/(-28) + (-15)\/20. Let w be q\/18 - (-43)\/63. Factor -4\/7*p**3 + 8\/7*p**2 - w*p + 0.\nAnswer: -4*p*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*n + 29. Suppose 4*d + 110 = n*x, 3*x - 41 = 2*d + 23. Calculate the highest common divisor of 72 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:34 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85*c**3*k**3 - 16*c**3 + 67*c**2*k**4 + 170*k**2 wrt k?\nAnswer: 510*c**3 + 1608*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/8*-74*(-31)\/(-93) + -9. Sort -3, -15.6, m in increasing order.\nAnswer: -15.6, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = -10. Let x(p) = 47*p + 54*p - 1 - 140*p + 44*p + p**2. Give x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odjidzjijxjjo. What is prob of sequence iod?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 58 = -2*a, 0 = 4*a + n - 3*n - 98. Suppose -20*c = -a*c. Solve -4*l - 2*k = c, -5*l + 10 = -4*l + 3*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:31 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -1 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532130878?\nAnswer: 2, 3, 422021813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2 - 3 + r + 1\/3*r**3. Let u(s) be the first derivative of b(s). Find the first derivative of u(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4400 and 21764765?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 1:41 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8675, -22383, -53441, -84499, -115557?\nAnswer: -146615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckrcccrccc. Give prob of picking 1 r, 1 k, and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-288)*273\/49?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**3 - 3*q**2 + 176*q + 1105. What is the hundreds digit of c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 3*i + 1 + i)*((2*i - 3*i + 2*i)*(-3 - 4 + 5) + 10 - 10 + 5*i) to the form n*i**2 + v*i + s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/14)\/((-3)\/49*-14). Let l(k) be the first derivative of 0*k**4 + o*k**3 + 0*k + 42 + 0*k**2 - 3*k**5. Find the third derivative of l(n) wrt n.\nAnswer: -360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from bemmimkembkiwi?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2728*s - s**2 - 1369*s - 1360*s - 3 + 3 + 31*s**3 to the form a*s**3 + n*s + b + y*s**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -79\/6 at least as big as 9\/544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126.2 - 119. Let d = i - 5.2. Which is the second smallest value? (a) -1 (b) d (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -10*i**5 + 7326*i**4 + 116972*i**3 - 1330704*i**2 - 550528*i = 0.\nAnswer: -23, -2\/5, 0, 8, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -1585 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**3 + 9*y - 1. Let q(c) = -2*c**2 + 1. Let a(v) = 2*g(v) + 14*q(v). Is 7 a factor of a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67327337117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 16 + 0*i - 24 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(65))\/sqrt(5) - (sqrt(1053) + sqrt(1053) + -2 + 1)**2.\nAnswer: -4218 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2579.2777 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l + 3 + 12 + 24*l - 16.\nAnswer: -8*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a. Let p(n) = n. Let f(r) = 2*r. Let g(l) = 3*f(l) - 8*p(l). Let x(c) = 7*g(c) + 3*v(c). Let s(z) = -3*z. Calculate s(x(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 421 and 0.4.\nAnswer: 168.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 3*o + 2*o**2)*(-811 + 429 + 509) to v*o**2 + j*o + c and give v.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -55, -135, -247, -391?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2989 - -2987. Let r(v) = 27*v + 2. Determine r(u).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -46*c - 138. Calculate a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 + (3 - 3\/3) + -3. Let j = b + 23. Let m be j\/20*(-1 + 6). Solve -s + 8 = 4*t, 5*t = m*s + 2 + 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.09316 (b) 0 (c) -359 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2626904 and 2440.\nAnswer: 13134520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3280*i + 3248*i - 6541*i - 1 in the form v + m*i and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -42*u - 6. Let t(l) = 83*l + 14. Calculate -5*h(k) - 3*t(k).\nAnswer: -39*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 30. Suppose 6*c = 2*c + 40. What is the remainder when 6\/(-15) + 134\/c is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -14.9. Let w = u - -0.6. Let m = -0.2 - -0.2. Which is the nearest to 1\/3? (a) 2\/9 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 4, y: 1, n: 1, h: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.996 - -0.44.\nAnswer: -3.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24 + 0)*(-4)\/((-16)\/(-9)). Let f be u*((-27)\/36 + (-20)\/(-16)). Solve 3 = -f*o + 26*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = -11*s + 10*s. Does 12 divide 2\/(-18) - s\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 1. Let x be j(-6). Suppose -4*i + x*i = 0. Solve 2*v + i*v = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a - 3. Let c be j(-2). Let t = -0.1 - -1.1. Let d = 0 - t. What is the closest to d in 0, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824 + 243 = -243*u + 3*u - 7533 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:57 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3\/6 - o. Let n(l) = -5. Suppose 0 = a + 5*b + 24, 3*b = 3*a - 23 + 5. What is a*n(x) - v(x)?\nAnswer: x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (465\/(-12))\/5 + (-301)\/1204?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/5))\/i**(-19) assuming i is positive.\nAnswer: i**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*p + 24*p - 39*p + (4*p - 8*p + 0*p)*(-1 - 4 + 3) - p + 1 - 1 - 1.\nAnswer: -40*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/137432 + 274855\/412296. Determine y, given that 6*y + 16\/3 + x*y**2 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3 + 310*v**2 + 921*v = 0.\nAnswer: -307, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 584203 - 155687. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*q**4 + 172*q - 172*q + (3*q + q - 6*q)*(q**3 + 5 - 5) - q**4 + q**4 - 2*q**4 to the form n*q**2 + p*q**4 + g*q**3 + i + s*q and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 664907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -158 + y + 77 + 86 - 4*y. Calculate v(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - 0 - 10) + (-60 - (-4 - -4)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f. Let t(c) = -6274*c + 57714 - 57714. Give t(i(m)).\nAnswer: -18822*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/75)\/((-4)\/(-35)) - 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -40, -56, -68, -76?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 2 + (sqrt(108) + sqrt(108) + 0)**2)*-3.\nAnswer: -1302 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0726 and 0.4?\nAnswer: 0.3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -17772.\nAnswer: 5\/5924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 141303996 divided by -2162\nAnswer: -65358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7719*s**2 + 549*s. Let a(k) = k**2. Give y(a(h)).\nAnswer: 7719*h**4 + 549*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -1 (b) 2\/15 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178374312 and 178374312.\nAnswer: 178374312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g + 0*g**4 + 0*g**5 - 175 + 106\/3*g**3 - g**6 + 0*g**2 - 3\/7*g**7. Find the third derivative of q(v) wrt v.\nAnswer: -360*v**3 - 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/7, -0.1, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) -1.25 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-36) - (0 - 1). Let f be (-3)\/27 + 2\/(-9). Let n = -5.08 - -0.08. Sort f, n, q in decreasing order.\nAnswer: q, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 + 16407*b - 386669 = 0.\nAnswer: -8227, 47\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/7 + 18*t**3\/7 - 3*t**2\/7 - 52*t\/7 + 36\/7.\nAnswer: (t - 1)**2*(t + 2)*(t + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -35*g + 18793. Is b(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 548*z - 37538.\nAnswer: -2*(z + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**10*b)*b*((b*b**(6\/13)*b)\/b)\/b)\/(b**(-12)\/(b\/((b**(-8)\/b*b)\/b))) assuming b is positive.\nAnswer: b**(175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*s - 3. Let y be 56 - (s + 1)\/3. Suppose x - 6*x + y = 0. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/5 - 8*o**3\/5 + o**2 + 10*o.\nAnswer: o*(o - 5)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 747441 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5572931*86\nAnswer: 479272066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1302 - 3.4698. Which is the nearest to -10? (a) g (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 3*o. Let u(s) = 4*s + s**2 - 7 + 7. Let k(b) = 5*u(b) - 7*x(b). Let m(r) = r**2 + r. Let f(i) = -2*k(i) - 3*m(i). Factor f(j).\nAnswer: j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least -8278\/903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 258 + -257.7. Let z = 224 - 214. What is the fourth biggest value in i, 2\/11, z, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -44*n + 113 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from tlj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, r: 1, o: 2, d: 3, g: 3}. What is prob of sequence ro?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 14*t + 18. Calculate x(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.77138172 to two decimal places.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64b6 + -9c6?\nAnswer: -6e8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 402?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*9*6\/(-9). Let o be 239 - (0 - -2) - 1. Suppose 2*m + o = d*m. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 - -3.19. Put 3\/4, q, 0 in decreasing order.\nAnswer: q, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/12 - 5*c**4\/12 + 5*c**3\/6 - c**2\/2 + 3*c. Let z(d) be the first derivative of g(d). Solve z(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30400 and 8267200?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/7 + 156*k\/7.\nAnswer: 3*k*(k + 52)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 13 = -2*i. Let x(m) = -m - 1. Let s(t) = -4*t - 1. Calculate i*x(z) + s(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 229972*a + 9. Let w be v(7). Let l = 10949072 - 5539259. Let p = w - l. What is p rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Sort q, 0, -3.\nAnswer: -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000139848374 to 6 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-16) + 46\/4. Suppose l = d + 1, -d = 2*l - 13 - 4. Let p be 3 - l - (-22 - -7). Which is greater: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/2, -3974, -5, -3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4 + 5 - c**2 + 2. Let v(p) = p - 1. Let x = -2 + 4. Let r(z) = x*a(z) + 6*v(z). Factor r(g).\nAnswer: -2*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*w**2*y**2 - 858*w*y**3 + 61068*y**3 wrt w?\nAnswer: -24*w*y**2 - 858*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 24. Let r be n(-6). Suppose 2*x + 6 = -m, r = -0*m - 4*m + 3*x - 13. Let p be (-56)\/m*2\/7. Let y(d) = -d + 3. What is y(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 5033\nAnswer: 8\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/42 + 3*x**3\/7 - 10*x**2\/7 + 30*x. Factor y(t).\nAnswer: 2*(t - 1)*(t + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/3 + 61\/12. What is the closest to 1 in -5, 5\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -485.6, -28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 131 = -j, 57 = -c - 3*j - 0. Let u = -125\/3 - c. What is the closest to -1 in 2, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348146 is divided by 260903?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 8*y**2 + 8*y - 5. What are the prime factors of b(8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 10, x: 4, y: 3, t: 1, i: 1}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - 5. Let y be (x\/(-20))\/((-2)\/(-5)). Suppose -60 = -3*m - y*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.6, 21.4, 0.22, 2\/13?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - 2 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113787283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.777 + 39.647. Let h = -0.13 - t. Let z = -25.6 - h. What is z rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-27552)\/(-7749))\/(2 + 32\/(-18))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(83 + -3) + (2 - -1). Let k = i + -31. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3158, 6319, 9480, 12641, 15802, 18963?\nAnswer: 22124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 18 + 3 - 2 - 4 + 4 + (2 - 1 + 1)*(-2 + 2 - 1))*(-4*f + 2*f + f) as o*f + x and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2695858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142117043?\nAnswer: 142117043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 0*u + 3*u + (-3 + 4 - 2)*(-3*u + 2*u + 2*u) - 22 + 5*u + 22 + 0*u + u + u + 0*u - 2*u + 4*u + (2 + 4 - 4)*(u + 0 + 0) + u - 2*u - 2*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -501, -437, -487, -783, -1457, -2641?\n\"Answer: -22*g**3 + 75*g**2 - 7*g - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9946 = -974*g + 2154 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*a - 3*a + 774, -2*a = -3*n - 771. Let s = 388 + n. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -6, 224, 632, 1278?\nAnswer: 2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - p - 12. Let i be w(0). Let c(x) = 358333*x - 4. Let s be c(i). What is s rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -8590*m**2\/3 - 240524*m\/3 - 112\/3 = 0?\nAnswer: -28, -2\/4295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -1\/15*y**2 + 1\/30*y**4 - 2\/45*y**3 + 2\/15*y - 6. Find j, given that p(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 - 13*u**2 - 17*u + 23. Suppose -3*y + 20 = 2*x, -3*y - 32 = -8*x + 6*x. Let b(t) = -2*t**3 - 6*t**2 - 8*t + 11. Give x*b(j) - 6*s(j).\nAnswer: -2*j**3 - 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - -0.04. Let y = d + 0.88. Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1487 + 84.8513. What is the third biggest value in d, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0.567, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 413688 or -49?\nAnswer: 413688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -254 + 313. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let k = s - -6. What is the greatest common factor of k and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 - 6*r**2 - 6*r - 28. What is the lowest common multiple of f(-4) and 507?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 598 in 12\/11, 1\/4, 0.2?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/111 + 77\/333. Suppose 0 = -0*f + 2*f - 2. Which is bigger: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*b + 680 = 329*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0 (c) -21889476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 g, and 1 v when four letters picked without replacement from kkmkmvmmgkmvg?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*n + 20, -20*n = -9*n + 22. Calculate the greatest common divisor of y and 1452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 16 = -10*z + 71. Solve -55 + 43 = 4*w + 2*j, 0 = 3*w + 2*j + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 1, t: 3}. What is prob of sequence tto?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from babbaabaabaa. What is prob of picking 4 a?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 616829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(468) + 4 + ((sqrt(468) - sqrt(52) - sqrt(52))\/sqrt(4) - (sqrt(468) + 3)).\nAnswer: 4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.9209 - -10.85. Let h = c - -0.07089785. Round h to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11971270689 - 5.\nAnswer: -11971270694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 2.03. Let g = -0.799 + 5.799. Which is the nearest to s? (a) g (b) -2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (-4 + 11 + -1). Let b be (-16)\/c + -1 - 2\/6. Let g(y) = -y**3 + 2*y**2 - y - 5. Determine g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 2*b**2 + 3*b**2 - 479*b**3 - b**2.\nAnswer: -479*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3892571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.6 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2*v**3 + v**2 + v - 1. Let g = -3 + 0. Is a(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 530. Suppose -j + 40 = -2*d, -4*j + 4*d = -l - 54. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 47. Let i = t - 49. Solve 0 = -3*w + 4*d - 3*d, 0 = 2*w - 4*d - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 3, p: 1, k: 5, y: 6}. Give prob of sequence gks.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/20 + 2*j**3\/3 - j**2. Differentiate y(i) with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 15 = 3*x, 4*o - 4*x - 28 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 - 5*300\/8. Let g = -163 - l. Solve 2*m - g = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-50) + (-22)\/5. What is the least common multiple of 3 and 10\/(-4)*(-3)\/t*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37803*t**5 + 8497*t**2?\nAnswer: -2268180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1804\/4335 - 14\/867. Let l = 0.8 + 0.2. What is the closest to j in l, 4, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21503.42 * 0.3.\nAnswer: -6451.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-2)*((-1548)\/36)\/(-172).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -88 + 95. What is the closest to -2\/57 in 5, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35247 times 40850\nAnswer: 1439839950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 3, e: 4}. What is prob of picking 2 n and 1 i?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o**3 - 25*o**3 - 58*o**3.\nAnswer: -58*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 57. What is the remainder when 73 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*2)*-2 - 4*(sqrt(117) + (sqrt(117) - (sqrt(117) + -2 + sqrt(117) - sqrt(117)))))**2.\nAnswer: 96*sqrt(13) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.3. Let x = 277 - 282. Which is the smallest value? (a) -0.4 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 577.5734 nanoseconds?\nAnswer: 0.0005775734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*h + 27 = 0, 297 = 8*s + 4*h + 365 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/1344 - -3*(-1)\/(-42)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14702 - -3485. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3465\nAnswer: -1\/693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*sqrt(567)*5*5*-2*-1)**2.\nAnswer: -38272500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 107.73.\nAnswer: 108.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/24)\/(6\/(-369)) - 5. What is the closest to 1\/18 in w, 1\/9, 3\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-55))\/(315\/495).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -2.92. Let f = -0.3 - -0.5. What is the smallest value in f, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + p - 9. Let n(t) = -7*t**2 + t + 10. Let a(w) = 2*n(w) - 6*s(w). Find the first derivative of a(r) wrt r.\nAnswer: -40*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -3*d, 2*h - 4 = -h - 2*d. Suppose -2*b + h*b + 260 = 0. Does 40 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-10)*b*b**(9\/4) assuming b is positive.\nAnswer: b**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.2, 2\/19, 2, -74464.46?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 0 + 0)*(-w + 0*w + 4*w)*(-3 + 2 - 7) as l + t*w**2 + x*w and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*z**3 - 104*z**3 + 8 - 9 + 32 + 4.\nAnswer: z**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7038 + 6997. What is the second biggest value in 1, 1\/4, -1, n, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:59 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 133112.\nAnswer: 133111.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -291, -403, -439, -375, -187, 149?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwwv when four letters picked without replacement from vvvvvww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:22 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 37\/2*c - 1369\/2*c**2 - 1\/8 = 0.\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/340761 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2976.2286 microseconds?\nAnswer: 0.00004960381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111444144?\nAnswer: 2, 3, 7, 47, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 11*v - 3*y = 6, -3*v - 8 = 4*y. Suppose r + 4632 = 5*m + 5*r, -5*m + 3*r + 4646 = v. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27169192319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -7. Let x be 1\/(-2)*d\/(-2). Let u be (-2 + 1)*(15 - 5)\/(-2). Sort x, u, -4 in decreasing order.\nAnswer: u, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3105*f + 0 - 6207*f + 3101*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 35 - 1174*d - 959*d - 70 to the form q + u*d and give u.\nAnswer: -2133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 59. Let h = -23 + 16. Calculate the remainder when ((-21)\/(-6))\/h*-150 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2.6.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**9\/504 + k**6\/72 + k**3 - 4*k**2. Let u(a) be the first derivative of f(a). What is the third derivative of u(s) wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331663*a - 331663*a - 952*a**3)*(3*a**2 - 2*a**2 - 4*a**2).\nAnswer: 2856*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 + -74. Let k be -2 - -1 - l\/(-3). Solve -5*u - 3 + k = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/932256 and -37\/3588.\nAnswer: 21441888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 117876.6005 to 0 decimal places.\nAnswer: 117877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r = -42*r - 3*m - 118683, -79167 = -2*r - 3*m. What are the prime factors of r?\nAnswer: 2, 3, 5, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210355 is divided by 353.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306*103.\nAnswer: -31518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 3. Let b be m(-1). Solve 0*t - b = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33916.\nAnswer: 2, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13743, 13553, 13363, 13173, 12983, 12793?\n\"Answer: -190*z + 13933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(330\/12))\/(4\/15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7843.624ml?\nAnswer: 7.843624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3 + 30*d**2*x**3 + 350*d**2*x**2 + d*x**3 + 34400*d*x**2 - 3*d*x + 2*d + x**2 wrt d?\nAnswer: -6*d + 60*x**3 + 700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 3*l, 0*f + 5*l = -4*f - 16. Let o(d) = -d - 3. Let h be o(f). Let j be 35\/5 + -4 + h. Solve -3 = 5*n + j*x - 0, 5*n + 30 = 5*x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 0*q**3 - 3 - 2*q**3 + 3*q**2 - 2*q**2 + q. Let w be (7 + (-31)\/4)\/(2\/8). Calculate the remainder when y(w) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-13\/4)*i)\/i)**19 assuming i is positive.\nAnswer: i**(323\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/3 (b) -6 (c) 2\/11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -27128*j + 4014934. What is a(148)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189034151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d**3 - 16 - 52*d + 52*d wrt d.\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 + 2. Let s(r) = -4*r - 3*r + 5*r. Calculate s(g(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (492\/(-82))\/((-2)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318 - -509. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 674441 or 674531?\nAnswer: 674531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 32*g**2 + 9 - 9)*(-85 - 65 + 367).\nAnswer: 6944*g**2 - 217*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) - (18256\/(-10))\/7. Calculate the greatest common divisor of o and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.45, 0, -1\/4, -2\/13 in ascending order.\nAnswer: -1\/4, -2\/13, 0, 1.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -53*d. Let q(t) = 27*t. Give z(q(v)).\nAnswer: -1431*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from uqbqubuqbumu.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 11:13 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28)\/(((-40)\/(-15))\/(-8))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 23 = -41. What is the third derivative of 16*b**5 + 3*b**5 - 26 - 15*b**3 + b**2 + 17*b**3 - o*b**2 wrt b?\nAnswer: 1140*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x**2 - 28*x - 36. Let c be o(-6). Let z be 38\/c + (-398)\/60. Which is bigger: -7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 77685*d**3 + 105*d + 21. Let n(k) = -15536*k**3 - 20*k - 4. Calculate -4*m(q) - 21*n(q).\nAnswer: 15516*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 2, -1, -6, -13, -22, -33?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**3 + 6. Suppose -3 = q - 8. Let x(o) = -7*o**3 + 6. Let n(r) = q*t(r) - 6*x(r). What is the first derivative of n(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7669 - -5122. Put h, -2, 5 in decreasing order.\nAnswer: 5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*o**3 - 1371*o**3 + 62*o**3.\nAnswer: -2371*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-12))\/d)\/(d**1*d) assuming d is positive.\nAnswer: d**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.13831 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2. Let n(q) = 4*q**2 + 1. Let m(y) = -4*n(y) - 5*w(y). Let m(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47831 is divided by 349?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goi when three letters picked without replacement from onnjigjgnngv?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -335 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sscoysyyccoomm. What is prob of picking 1 s, 1 o, and 1 c?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 4. Let a be n(4). Let r be (-2)\/a + (-1)\/(-4). Suppose r = -2*p - 11 + 55. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/(-364))\/(15\/(-245))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42980, -42998, -43016, -43034, -43052?\n\"Answer: -18*r - 42962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240 divided by -4.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4157 + 4154 - 8311 - 312*f - 502*f as s + u*f and give u.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*d = -49, 0 = k - 3*d + 86 - 80 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 800 divided by -80\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17052, 3021, -11010, -25041, -39072?\nAnswer: -53103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-1680) + 2\/(-70)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214.067 - 2.233. Let u = z - -216. Which is the third biggest value? (a) 4 (b) u (c) -10\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 794*f**3*m**5 - 2*f**3*m**4 - 6*f**3*m**2 + m**2 wrt m.\nAnswer: 47640*f**3*m**2 - 48*f**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 2*k**3\/3 - 4*k**2 - 25*k + 130. Let b be p(9). Calculate the highest common divisor of b and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120110131 - 22120?\nAnswer: 120022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12280 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269931956 a multiple of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*978823\nAnswer: -489411.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19273 - -803819958?\nAnswer: 803839231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o**2 - 2*o - 3. Let z = -2 + 7. Suppose h + z = -0. Let j be 1 + 1\/(1\/h). Calculate g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86996.\nAnswer: 2, 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1.92, -2, -0.5, 1\/2, 10, -2\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084283 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: Work out 0.2 - -191648334357.\nAnswer: 191648334357.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3035 and -0.081.\nAnswer: -245.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 3.96. Let t = -1 + -4. What is the biggest value in t, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/80*1)\/((-6)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 103.2\nAnswer: 30.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13 - 31 - 6*h**3 + 15 wrt h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -379920764 smaller than -379920764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-132)*(-216)\/81.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 25, 33, 41, 49, 57?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 8*p + 10. Determine t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m)**(-14\/3)*(m*(m**4\/m)\/m*m)**(4\/5) assuming m is positive.\nAnswer: m**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0*x**2 + 0 - 1\/60*x**6 + 0*x**4 - 1\/168*x**7 - 3*x - 1\/80*x**5 + 0*x**3. Factor i(p).\nAnswer: -p**3*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -815 - -817. Suppose 2*m + y*n = 8, -9*n + 16 = -5*n. Solve m*r - 12 = 2*j - 4*r, 12 = 4*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2340 and -79\/130.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -2\/7, -1 in decreasing order.\nAnswer: -2\/15, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014593 rounded to 4 dps?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-5 - 1 - 3)*(-3*j + 4*j - 3*j) to the form c*j + z and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -27. Suppose 117 = m*k + 469. Let y = -40 - k. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 16.5. What is the third smallest value in -3\/4, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/2 + 11*r**4 - 10*r**3 - 11*r**2 + 21*r\/2 = 0.\nAnswer: -1, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51692 + -51692.0030213. What is d rounded to five dps?\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 2*l**2 + 3*l - 7. Determine d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**3*w*w**(-6\/11))**(1\/14) assuming w is positive.\nAnswer: w**(-17\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 43624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 4*u - 30, 5*u = 2*r + 40 + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let r(b) be the third derivative of 5*b**4\/3 - b**3\/6 + 44*b**2. What is r(j(y))?\nAnswer: -80*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 - 3*k**2 - 4*k - 6. Let s be i(-5). Suppose 0 = 4*f - 4*c + 916, -80*f + 3*c - 463 = -78*f. Let n = s + f. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1.798, 4, 2\/2561, 0 in descending order.\nAnswer: 5, 4, 1.798, 2\/2561, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.2. Let o = 2.107 - 0.047. Let n = o + -0.06. What is the biggest value in -3, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0069 in -1\/942, 0.9, 1\/5, -4\/7, 0.16?\nAnswer: -1\/942","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 65 = -3*k, 2*t - 24 = -4*k - 14 - 94 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1773\/(-72) + 6\/(-16). Let g = y - -30. Solve l + 9 = -g*k, 4*l - l + 3*k + 15 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97.04 - -97. Which is the nearest to 6\/5? (a) 0.3 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozatoot. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 10*i - 2*i. Let t(w) = -6. Let z(f) = f + 26. Let l(x) = 26*t(x) + 6*z(x). Calculate -5*c(k) + 6*l(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/16 in 4, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64026537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-6))\/(16\/(-26328)). Suppose 3*u + 1278 = 4*w + j, 0 = 3*u - 5*w - 4202. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2951146 and 17706876.\nAnswer: 17706876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + 1 + 1 - 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -190161.062 and -0.33.\nAnswer: -190161.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255636 and 360?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/126)\/(49\/(-14) + 322\/91)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100276, -200566, -300856, -401146?\nAnswer: -501436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - -1.8. Let k = s + -3. Let y = 3153 + -3151. Put 5, y, k in descending order.\nAnswer: 5, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184909 is divided by 8661?\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 6*h + 682 = 0. Let t = 84 - h. Calculate the least common multiple of t and 116.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 - 71117*m**2\/4 + 355685*m.\nAnswer: -m*(m - 20)*(m + 71137)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1247*j**2 - 6 - 1248*j**2 + 0. Let m = -6 + 6. Determine r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 4*r - 0*r - 4379 + 4319, -10*r - 170 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 + 44130165?\nAnswer: 44130302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 5*i + 2. Suppose -2*f + 3*f = 0. Suppose -3*d + 30 - 237 = f. Let l = 74 + d. Give a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**3 - 5*x**2 - 2*x + 77. Let s(n) = -6*n**3 + 6*n**2 + 3*n - 78. Calculate -3*f(k) - 2*s(k).\nAnswer: -3*k**3 + 3*k**2 - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((615\/60)\/41)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227267 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -o - 5*r + 12*r + 6, 0 = 2*r - 0 + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 337949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 3*h**2 + 6*h - 1\/3*h**3 + 11. Suppose 5*b - 3*y + 17 = 0, 4*y - 3 - 14 = b. Let f(w) = w + 1. What is b*z(s) + 6*f(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -439*g + 466*g - 9 + 3 to the form b*g + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3866\/19? (a) 19 (b) 5\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = -3*s + 35, -2*p - s = 3. Let n be (-1 + (-14)\/8)\/(1\/p). Suppose -9*u + n*u = 4. Solve 2*l - 2 = u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135740300.41 to the nearest ten thousand.\nAnswer: 135740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 15. Let c(x) = -11 - 2*x + 33 - 15. Calculate 13*c(z) - 6*v(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(40)\/sqrt(5))\/sqrt(4) - ((sqrt(2) - sqrt(14)\/sqrt(112)) + sqrt(128)\/sqrt(4) + sqrt(2)))**2*5.\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(32 - -3)*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 87.4*-2\nAnswer: -174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*j + n, 3*n - 28 = -3*j - 7. Suppose j*q + 11778 = 10*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1879 or -91937?\nAnswer: 1879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/4 + 16*a**3\/3 - 3*a**2\/2 + 2*a + 1. Suppose 72*l - 28*l + 704 = 0. What is the tens digit of f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*o + 1124546 - 85673. Does 52 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - 9)\/((-17)\/51*6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 30950395826.192?\nAnswer: -30950395822.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15536 - 15082. Solve -13*k + l - 402 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m - 2*m**2 + 5*m + 0*m**2 + 2 - m**3. Let j = 2450 - 2453. Determine u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*f**4 + 5 + 1416*f**3 - 1416*f**3 - 3*f**4 + (2*f**3 - 2*f**3 - 2*f**3)*(-3*f + 0*f + f) + (3*f - f + 2*f)*(-f**3 + 3*f**3 - 3*f**3).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*q + 3*p - 19, 5*q - 5 = -p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326355 = 28*j - 25*j + 12*j. Is j a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.24*-104\nAnswer: 128.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-1)\/(8\/(-40)). Let d(a) = a**2 - 97*a - 3652. Let v be d(126). Solve -5*q + v*q = -4*n + 1, -4 = q - s*n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33855 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: Let n(x) be the first derivative of -13*x**6\/6 + 11*x**2\/2 + 9. What is the second derivative of n(w) wrt w?\nAnswer: -260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**5 + 6*t**4 + 6*t**3 - 6*t. Let d(p) = 5*p**5 - 5*p**4 - 7*p**3 + p**2 + 6*p. Let m(g) = -3*d(g) - 2*f(g). What is l in m(l) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4 + 0*s + 2*s - 7. Suppose -11 - 261 = -34*w. Calculate u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723307.2 rounded to the nearest 1000?\nAnswer: 723000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67173204.\nAnswer: 2, 3, 7, 37, 21613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 8*f - 205. Give s(0).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-1800)\/(-96) + -19). Let t(q) be the first derivative of -17 + 10*q**2 + 37\/4*q**4 + m*q**3 + 0*q. What is the second derivative of t(o) wrt o?\nAnswer: 222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:15 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, a: 3, w: 2, v: 1, n: 6}. Give prob of sequence wu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -ad?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5711 divided by 2\nAnswer: -5711\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 34*g - 29484 = 0. Suppose g = -2*b + 11*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7431 or 7341?\nAnswer: 7341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/7 - 862*a**3\/7 - 3600*a**2 - 160736*a\/7 - 294400\/7 = 0.\nAnswer: -400, -23, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*o + 287 + 47*o - 2*o**2 + 49.\nAnswer: -2*o**2 - 3*o + 336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/9 - 141788*c**2\/3 + 11485531*c\/9 - 3686722\/3 = 0?\nAnswer: -425391, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599372.\nAnswer: 2, 29, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 540624 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1356 - 1068. What is the lowest common multiple of 96 and y?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 44900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:43 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-36))\/((-7)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11887 != -9689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 627 and 221445.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.1 rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 + 0.4. Let t = -1618 + 1617.6. Which is the biggest value? (a) 0.2 (b) g (c) -6\/17 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 - 1053 = -3*r. Suppose 0 = -4*k - r + 86. Let n = k + 69. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 7. Let n be i(5). Suppose 0 = -5*y + n*o + 500, 0*y - 3*o + 219 = 2*y. Let c = y + -1120\/11. What is the closest to 0.1 in -0.1, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*d**2 - 8*d**2 + 10*d**2 + (-3 + 5 + 0)*(-196 - 209 + 405 - 60*d**2 - 9*d) in the form i + t*d**2 + h*d and give t.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.903 - 1.90305595. Round r to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27305 is divided by 260.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -98, 7, -0.1 in increasing order.\nAnswer: -98, -0.1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4 (c) 4 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36774, -74443, -112114, -149787, -187462, -225139?\nAnswer: -262818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((-2*sqrt(70))\/sqrt(10)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6721.461 seconds?\nAnswer: 0.0777946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -314, -5, -64, -1 in descending order.\nAnswer: -1, -5, -64, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 334*m - 329*m + 44, 5*m + 40 = -0*m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10017 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/220)\/((-13)\/260)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 + 36599*q + 658458 = 0. What is q?\nAnswer: -36581, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2 - 5 + 2*i + 2*i + 1. Let l(a) = -a**3 - 5*a**2 + 6*a - 1. Let w be l(-6). Let m be w + 0 + (-16)\/(-4). Give s(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3860, -4171, -4696, -5435, -6388, -7555?\n\"Answer: -107*v**2 + 10*v - 3763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.577? (a) -203 (b) 0.16 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3107 by 3107.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730600 rounded to the nearest 10000?\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 9*a**2 - 10*a + 5. Determine h(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = r + 4, -r - 4*r = p + 44. Let m be (-6)\/(-9)*r\/(-2). Let a(b) = -m + 3 + 2*b. Let u(g) = -17*g. Give u(a(f)).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 + m + 6. Suppose k = -3*k. Suppose -2*w + 34 = 2*n, 4*n = 54*w - 53*w - 42. Calculate the remainder when w is divided by z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/3*27\/90*-5. Let l(z) = -2 + 17*z - 29*z - 4*z**3 - z**2 + p*z. What is the units digit of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a + 1130. Let y = a + 1578\/7. Let t = -0.02 + -4.98. Sort 3, y, t.\nAnswer: t, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = 788*u + 186*u - 2369 + 31979 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11288480?\nAnswer: 2, 5, 7, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.049 - -70.951. Let g = -71 + z. Which is smaller: -5\/3 or g?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 - 1164*a**3 + 1163*a**3 + 19*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8086 divided by 311?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a + 41. Let r(o) = 4*o + 41. Let y(n) = -5*f(n) + 4*r(n). Let k be y(-10). Let x = k + -45. Solve x*b - 2*v = 14, -7 = -4*b - v + 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.2. Let f = -2.3 + -10.7. Let n = 12.8 + f. Sort m, n, -4 in decreasing order.\nAnswer: n, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -173 (b) 2\/3 (c) -1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531 (base 8) in base 3?\nAnswer: 10021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*2)\/(sqrt(2) + sqrt(3200)).\nAnswer: 16*sqrt(7)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 6*u**2 - 3*u**2)*(8*u**2 - 5*u + 5*u)*(-1283*u - 726*u + 1032*u).\nAnswer: -7816*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**17\/(l\/(l*l**(-10)*l)) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + -300130311?\nAnswer: -300130110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.01325g?\nAnswer: 13013250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11318009 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1229\/67761?\nAnswer: -1229\/67761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3*m**2 + 11*m + 34. Suppose 28*z - 10*z = 198. What is the hundreds digit of x(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/28)\/(-9)*7\/(49\/(-238)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 x, and 1 c when four letters picked without replacement from yzexgggcccgyzgzgg?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2408029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 0.05, 3\/7, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491 divided by -3.\nAnswer: -491\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 329317703?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240358 is divided by 1240319.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402761?\nAnswer: 402761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/45*9*(-15)\/(-42)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -5*m**4\/24 - m**3\/2 + 7*m**2. Let w be r(-2). Suppose -w*z = -63159 - 34141. What is z rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*k - 26, -1 = -o - 56*k + 54*k. Which is the second biggest value? (a) 68 (b) o (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 0*j + 13*j**2 - 14*j**2 + (j + 2*j - 4*j)*(1 - 1 - 2*j).\nAnswer: j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4983*d - 25193*d - 2179*d - 399*d + 2.\nAnswer: -32754*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rarraraarraaa?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (21 - -164) + (1\/(-1) - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -36 + 53 + -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.1884 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {f: 5, r: 4, k: 5, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.012 - 28.012. Let a = w + 27.58. Round a to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y - 1. Let u(t) = 4030*t**3 - 8060*t + 1612. Calculate 1612*i(w) + u(w).\nAnswer: 2418*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -5 (c) -4\/51 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from iffifii?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 93. Let x be l(13). Let h = -11 + 8. Sort h, 5, x, 4 in ascending order.\nAnswer: h, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**4 - 2604578*j**3*n**2 + j**2*n - 4*j*n**2 - n**2 - 105*n - 345 wrt j?\nAnswer: 72*j - 15627468*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 255 - -8d?\nAnswer: 2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*14\/52*167036\/(-292313).\nAnswer: -38\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 242 + -181. What is the third smallest value in p, -2\/3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 4 - 3 + 25*a**2 + 4. Suppose -41 = o + 3*m - 55, -12 = 4*o - 5*m. What is the tens digit of z(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 8*x - 13*x)*(x + 2*x**3 - x)*(0*x - 2*x + 3*x).\nAnswer: -14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7771784 is divided by 597829.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3858\/5144*98\/35\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i. Let m(t) = -1257*t**2. Give f(m(u)).\nAnswer: 15084*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/7 - 5119600*j + 22934016140000 = 0. What is j?\nAnswer: 8959300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 11*n + 14*n**3 - 18*n**3 + 14*n - 10*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/3)\/((-1)\/(-18)). Let n(g) = g**3 + g**2 - 40*g + 130. Let m be n(4). Let k = m - q. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 38 = s, -5*l - 26 + 236 = 5*s. What is the second derivative of 100*h**3 - 46*h**3 - 20*h - s*h**3 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from {d: 11, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 8*p**2 + 8*p + 13. Let b be s(9). Solve -5*d + d = -b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15793377 bigger than -15793404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -10)\/((-2)\/2). Let v = y - -25. What is the greatest common divisor of v and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*x**3 - 12*x**3 + 7*x**5 + (x**3 - x**3 - x**3)*(3*x**2 + 4*x**2 - 6*x**2).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67, -141, -215?\n\"Answer: -74*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130857\/13774 + -2\/6887. Let z(d) be the first derivative of 0*d - 5\/3*d**3 - 15 + h*d**2. Find the second derivative of z(s) wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - ((1 + sqrt(252) + sqrt(252) - sqrt(252))*5)**2) + (sqrt(252) + (sqrt(252)*1)**2*5 - sqrt(252)) - (3 + (-2*sqrt(252))**2)*1.\nAnswer: -6076 - 294*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 + 127.1. What is the second smallest value in -0.4, -0.5, k, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -39. Let z(w) = -4*w - 37. Let o be z(f). Which is greater: o or -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 5240761.\nAnswer: 78611415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57171462 + 41?\nAnswer: -57171421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -3232031?\nAnswer: -3232022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 26 + 678. Let s = -6 - c. Does 55 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -107*u**3 + 9*u**2 - 13*u - u**2 + 106*u**3. Let h be y(3). What is the greatest common divisor of h and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d8e3e8 - -3?\nAnswer: d8e3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 23, -11\/4, -2\/3 in ascending order.\nAnswer: -11\/4, -2\/3, 0.4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155082010 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) + (-10)\/((-2800)\/(-4692)). Let q = -119\/10 - v. Let x(a) = a**2 + a. Let o be x(2). Is q at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2057) + 0 + sqrt(2057))**2 - sqrt(2057))*1.\nAnswer: -49368 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12312 + -10?\nAnswer: -12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 93 = 303. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoeaaaooaoheaeo. Give prob of sequence oho.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0279, 1\/8, 1\/9, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) - (-1)\/4. Let a(i) = 6*i**2 + 24*i - 124. Let m be a(-7). Solve p = -c - m*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*(-87)\/(-7337)*-11?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -1\/3 (c) -14 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18058.5 and 126621.4.\nAnswer: 108562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000556448 rounded to seven decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + 38?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110674163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2\/11*w**4 - 10\/11*w**3 + 0 - 8\/11*w**2 + 0*w = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1455172729?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5346 + 5?\nAnswer: 5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99135 - 4*f + 99135.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*x + 6 = 0, 5 = -5*k + 3*x - 0*x. Let t = 3 - 0. Let r be 12 - (t - (-2 - -3)). Solve k*g - 2*p + 4*p - r = 0, -5 = -5*g + 5*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33080, -66339, -99598, -132857, -166116?\n\"Answer: -33259*t + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x + 62 = 1198 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10728320 (base 9) to base 8\nAnswer: -23712447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20251.\nAnswer: 7, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 8:50 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/((-4)\/1) - 7813)*-1. Round g to the nearest 100.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 84. Let q = -20 + c. Let g = q - -83.999922. Round g to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2863 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 3786846.\nAnswer: 128752764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -22*w**2 + 6*w + 6. Let l(h) = -41*h**2 + 11*h + 11. Let a(b) = -6*l(b) + 11*z(b). Let m(p) = 186*p**2 + 1. Calculate a(m(n)).\nAnswer: 138384*n**4 + 1488*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by (-1)\/4 - 9300\/(-400).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(68) + sqrt(68) - (sqrt(153)*5 - sqrt(17)).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*g + 10, h + 2 = -12*g + 17*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-638)\/(-22))\/(-29)*7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160489747 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43698, -43694, -43688, -43680?\n\"Answer: t**2 + t - 43700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/15 + 16*f\/15 - 6\/5 = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from ieeeeiiaaiae?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 0.153.\nAnswer: -0.01377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6147059 and 2265?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 31820926?\nAnswer: -31820926.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.6, -81\/5, 2 in ascending order.\nAnswer: -81\/5, -12.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 904215 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + 0 + -90 + 124 + -33?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4044 - 5609*k**2 - 12130 + 4045 + 4041 + 1794*k wrt k?\nAnswer: -11218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*j + 708, 4*c + 21 = 4*j - 1431. Solve -41*k - j - 12 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822491159?\nAnswer: 97, 29097847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 27548.\nAnswer: -8264.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60180 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**4 + 7*y**4 + 10*y**4)*(-y + 4*y - 4*y) - 4*y**5 + 0*y**5 + 6*y**5.\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neeenne. What is prob of picking 1 n and 2 e?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083684.\nAnswer: 2, 3, 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -173 - -18?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 7 (c) -3\/2 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r**1\/r*r assuming r is positive.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 233608 = 4*t, -4*k + 2*t - 4*t + 233602 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 702 + 4d0?\nAnswer: bd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.3 (b) 0.5 (c) 2 (d) -9\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 4*j - 1, -3*b + b + 174 - 202 = 7*j for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-34) - (15\/(-135))\/(10\/(-360))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 74. Let j be r(38). Let i(g) = 9 - 9 + 2 + j*g + 3. What is i(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q. Let i(z) = -644*z**2. What is i(a(u))?\nAnswer: -92736*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 95*y**2 + 4*y + 6. Let i(u) = -16*u**2. Let x(w) = 6*i(w) + l(w). Calculate x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2)*4)\/1. Suppose c*k - 7*k = q, -5 = -5*k - 2*q. What are the prime factors of 168\/(-18)*3*k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -365417*m + 1594*m**4 + 737*m**4 + 1 + 365415*m to z*m**2 + d*m + k*m**4 + t*m**3 + s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/12)\/(-3)*(-6)\/27. What is the closest to 5\/7 in 2\/15, 2\/7, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009366 rounded to seven dps?\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*v)*(-2018 - 1705 - 1572 + 626 - 4711) to c*v + r and give c.\nAnswer: -18760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from qoqzcaqyozozoo.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 0*u**4 + 0 + 0*u**2 + u + 1\/4*u**5 - 1\/2*u**3. Find the second derivative of p(o) wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 35 in decreasing order.\nAnswer: 35, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -139, 0.18, -27?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -683932, -1367824, -2051716, -2735608, -3419500, -4103392?\n\"Answer: -683892*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -804785, -804791, -804799, -804809, -804821?\n\"Answer: -s**2 - 3*s - 804781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = -l, 2*s + 13 = 5*l - 2*s. Let j(d) = 3 + 6 + 10 + 2 + l*d. Let w(z) = -z - 5. Determine -2*j(n) - 9*w(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - ((sqrt(208) - ((sqrt(208) - (sqrt(208) - (sqrt(208) + -2 + sqrt(208))))*-1)**2) + sqrt(208)))*6.\nAnswer: -216*sqrt(13) + 5016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26335 is divided by 453.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (490\/(-17885))\/(4\/(-6) + (-6)\/18).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t + b, -3*b + 6 = -6*b. Let d be t\/2 + (4 - 1). Let y(i) = 9*i**2 - 5*i. Let r(g) = -22*g**2 + 12*g. Calculate d*r(w) + 12*y(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -5587311?\nAnswer: 5587309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.7 - -22.4. Sort p, 0.34, 4, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, 0.34, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -12*n - 76. Is a(-18) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.9. Let i = 2261 - 2266. Which is the biggest value? (a) i (b) n (c) 5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3 + 6*t + 7*t - 107*t**2 + 8*t + 6*t - 5*t**3 = 0?\nAnswer: -27, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6566 + 6566 + 371*f**3.\nAnswer: 371*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/42*-2*3. Let u(i) = 2*i**3 - 3*i**2 + i - 2. Let o be u(2). Sort 0.1, o, c in ascending order.\nAnswer: c, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16\/19 (b) -0.5 (c) -275 (d) -1 (e) 0.5 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 7*u - 130291, -28*u + 97717 = 3*q - 32*u. Is q a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1560194, -3120390, -4680586, -6240782, -7800978?\n\"Answer: -1560196*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149\/3 - -48. Let c = -10 + 6. Let n = 163 - 162. What is the third biggest value in c, n, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + w + 1. Let k(g) = 521*g**2 - 6*g - 4. Calculate -6*b(i) - k(i).\nAnswer: -527*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let m(g) be the first derivative of 0*g + 5 + 0*g**2 - 1\/3*g**3. Calculate m(q(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1626937 or 1626350?\nAnswer: 1626350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244332 and 33756?\nAnswer: 687305916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3 - 7 = 0. Sort -5, i, 1 in ascending order.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1948*p = -6445*p + 19870 + 16106 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 83*t + 105.\nAnswer: -83*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205 by -5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0475? (a) -16 (b) 3 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2 - 5303474*l - 7209500 with respect to l.\nAnswer: -2*l - 5303474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(1\/(-10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, -4, -8, -8, -4, 4?\n\"Answer: 2*y**2 - 14*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 1.2, -2 in descending order.\nAnswer: 2, 1.2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -572736109.589803 - 0?\nAnswer: -572736109.589803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:50 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 827211 and 1442.\nAnswer: 170405466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 22*x - 19. Let q be k(-21). Suppose 189 = q*f - 5*f. Let u be (-18)\/4*3\/f. Is u >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 19 = -2*s. Let x(y) = 11*y - 76. Let q be x(8). Calculate the highest common divisor of s and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2085 or -18?\nAnswer: 2085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(8) + -3)**2*2)*-1 - 1*(1 + sqrt(162) + 0 - ((sqrt(162) + 0)*4)**2).\nAnswer: 15*sqrt(2) + 2558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1515332 and 728?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7396 + 7398. Let t = -5 + 27. Solve -2*u + o = -3*o + t, 0 = -3*u + s*o - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 111, -0.4, -5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*5*6)**2 - (4*sqrt(128))\/sqrt(4).\nAnswer: -16*sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37695 - 37750.032. Round w to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/20 + u**4\/3 + u**3\/3 + 15*u**2\/2 + 191*u. Let w be p(-4). Calculate the greatest common factor of w and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/182? (a) -0.0146 (b) 0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2211 and -55\/74046.\nAnswer: 54571902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k - 2. Calculate the remainder when 15 is divided by k - (-3 + (-2 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*h + 2107 - 6419 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 + 4*b**3 + 5*b**4 + (2*b - 2*b + 7*b**2)*(-1 + 1 + b**2) to the form v + x*b**2 + a*b**4 + z*b + m*b**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -1\/3*y**5 - 12 + 3*y**4 + 8*y - 9*y**3 + 23\/3*y**2 = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5829845801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 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: Suppose 0 = 6*a - 99 + 1327 - 100. Round a to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**3\/3 + m. Let g(n) = 7*n**2 - 6*n + 6. Let t(w) = -8*w**2 + 7*w - 7. Let d(f) = 7*g(f) + 6*t(f). Determine d(x(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 31350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/28 and -41\/747424.\nAnswer: 5231968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4451 (base 6) to base 13.\nAnswer: -61c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (66\/8 - 13\/52) + 2*-2. Solve -25 = -3*r + c*x, 14 + 18 = 4*r - 5*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 16*v + 1. What is o(-15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (6*sqrt(96)\/sqrt(4) - sqrt(24)))\/sqrt(12)*-4.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 12*w - 178. Let f be u(15). Let a(d) = -57*d**f - 15*d + 15*d + 44*d**2. Let c(x) = -4*x**2. What is a(c(r))?\nAnswer: -208*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, g: 1, r: 1, t: 8, e: 3, v: 2}. Give prob of sequence rrvg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 15 + 0 + 0 - f in the form h*f + w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7487 is divided by 831.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001836 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 4 + 4 + 1 - 2*b**2 - 3*b + 3*b + (0*b + 3*b - 2*b)*(0 + 0 + b) + 2*b**2 - b**2 - 3*b**2 as n + o*b**2 + j*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184804401*i**4*j + 2*i**2*j - 8149*i**2 + i*j - 6*i - 2*j wrt i.\nAnswer: -4435305624*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.321 to one decimal place.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 2*d - 1. Let k be o(-1). Let y be 4*-13*k\/6. Let c = y - 14. Calculate the remainder when 23 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**3 + 28*j**2 + 1\/3*j**5 + 0*j + 5\/42*j**7 + 1 - 5\/336*j**8 - 1\/3*j**6 + 0*j**4. Solve d(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*u + 4*u**3 + 0*u**4 + 9 + 30*u - 3*u**3 + 3*u**2 - 2*u**4 + u**3 to the form f*u + r + w*u**3 + n*u**2 + q*u**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2913?\nAnswer: 11652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.67 rounded to 0 decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 407 - 316. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769850.\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 5. Put z, 1, 2 in ascending order.\nAnswer: z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:26 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, k: 4, l: 2, r: 1, g: 1}. What is prob of picking 1 r, 1 z, and 1 l?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 8 - 5. Let s(b) = -378*b**3 - 1. Is s(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 546.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.636038 rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q. Let n be q\/(-3 - -3 - 2). Solve -3*k + 12 = -n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 4. Suppose -h - o = -3, 2*h = -3*h + 3*o + 15. What is the units digit of l(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4991141305?\nAnswer: 5, 97, 10291013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 + g**2 + g - 1. Let s(i) = 1509*i**3 - 4*i**2 + 3*i - 2. Let f(w) = s(w) + 2*y(w). What are the prime factors of f(1)?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8349 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y**(-35)*y))))**(-32))**(2\/43) assuming y is positive.\nAnswer: y**(-2176\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2552, 2557, 2564, 2573, 2584?\n\"Answer: z**2 + 2*z + 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybt when three letters picked without replacement from ttbtyttytyyybtttbatt?\nAnswer: 11\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o - 3*f = -20*o - 2712, 0 = o + 4*f - 886. Calculate the highest common divisor of o and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 3*a**2 + 1. Let o(u) = -5*u. Let h(b) = -3*o(b) - 2*s(b). Suppose 0 + 8 = -4*m. Calculate h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8139117 kilometers?\nAnswer: 813911700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3951300 divided by -1317100?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 13. Let u be h(4). Let o be 2\/u*-734 - 10\/(-15). Suppose 496 = 4*x - 4*f, -4*x + 2*f + 0*f + o = 0. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 593*g - 598*g + 35, -2*f = 5*g - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-22))**(11\/3)*x**(-19)*x**(23\/4)\/x*x assuming x is positive.\nAnswer: x**(-1127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.2. Let r be 182\/980 - ((-12)\/14)\/(-3). Which is the fourth biggest value? (a) 0.4 (b) r (c) h (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4 - 1. Let r be -15*5\/(-15)*d. Let i(l) = l**2 - 6*l + 3. Let z be i(6). Solve z*p = b + r + 1, -4*p = -8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 + 28 = 0. What is the remainder when 25 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from {c: 2, d: 1, f: 1, j: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-14 - -13) + (2 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + (sqrt(180) - sqrt(180)*-5))**2 + 0 - (sqrt(50)\/(sqrt(90)*-3))**2*2).\nAnswer: -2102396\/81 - 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 6 - (5 + (10 + 0 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/96187 and -61\/245?\nAnswer: 480935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, o: 3, y: 2, w: 4, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = l - 16. Let i be (-3 - -2)\/(l\/12). Let r(y) = 3 + 3*y - 3*y + y. Calculate r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 10) + -6 + (-7 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132.71 - 0.29. Let t = -132.99834 - s. What is t rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680019302?\nAnswer: 2, 340009651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2079*k**2 + 59009*k + 248. What is j(-28)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -85a (base 12) to base 11\nAnswer: -a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 3*t + 84, 526*h - 625*h + t + 128 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 189*g**3 - 4140*g**2 - 34800*g - 72000.\nAnswer: -3*(g + 3)*(g + 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -313\/5?\nAnswer: -313\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i - 2, 3*n + 4*i = -9. Suppose 0 = -5*u + 5*j + 2465, -9 = 4*j - n. Suppose 7*c - u - 1525 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 16*i = -58, -i - 15 + 12 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*(n\/(n\/n**(-1\/5)))\/n*n)))\/n)**26*(((n**(-1\/13)\/n)\/n)\/n*n)\/(n\/(n*n\/n**(-1\/4)*n))*(n**(2\/9)\/(n*n**(-12)))**(-5\/7) assuming n is positive.\nAnswer: n**(-213641\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 4*g. Let t be d(-4). Suppose 205 = 3*w - v - 410, -4*w - 5*v + 801 = t. Let a = 1201 - w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3601 - -3603. Factor -2\/15*f**y + 2\/5 + 4\/15*f.\nAnswer: -2*(f - 3)*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 18117.\nAnswer: 5\/18117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 151 + 145 + 3 + 90 - m as q + c*m and give q.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-3)\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(2 - (0 + 1)). Solve -z*x + 2*x = -l - 5, 2*x - 8 = -4*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1630.6213 - -1623.1213152. Let q = 4.2 + 3.3. Let i = q + l. What is i rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7*y + 2*y = 11, -3*y - 6 = 2*h. Put h, 5, -21 in increasing order.\nAnswer: -21, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2 in descending order.\nAnswer: 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (10 - (18 + -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 4. Let o be w(4). Let z(x) = -x. Let m(n) = 6*n - 3. Determine o*z(y) - m(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -1, -3, -4, 6 in decreasing order.\nAnswer: 6, -1, -3, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10163\/3905 - 2\/781. Is 0.4 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80446276?\nAnswer: 2, 20111569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1381, -2799, -4219, -5641, -7065?\n\"Answer: -b**2 - 1415*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744391149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/7))\/l**14)**(-2\/131) assuming l is positive.\nAnswer: l**(170\/917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.6 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 2595?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or 81669?\nAnswer: 81669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 393063589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y**2 + 1. Let k(l) = l + 4*l + 2164 - 4346 - 2*l + 2156. Give k(r(d)).\nAnswer: 42*d**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**3 - 3*u**2 + 4. Let t(p) = -14*p**3 + 8*p**2 - 11. Let h = 280 + -277. Determine h*t(d) + 8*a(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by -145?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 760620074 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*l - 9, -15 = -3*l + t - 6*t. Let y be l\/(-3)*3\/(-6). Suppose y*c = -4*c + 76. Calculate the highest common factor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 20*w**2 - 8 - 5 - 24*w**2 - 1.\nAnswer: -4*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -q - 4*k + 16, -2*q - 5*k = -5. Suppose 0 = -2*z + 1 + 5. Calculate the lowest common multiple of q and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9880 and 107\/20.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -12. Let u(n) be the third derivative of -n**4\/8 + 5*n**3\/3 - 2*n**2. Is u(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249601.56 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-64)*-8*(-33)\/(-12)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2206, 0.2, 12.3, 6?\nAnswer: -2206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/169 - 161\/338. Let o = -0.031 + -2.969. What is the second biggest value in o, -3\/7, 5, n?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2486*d + 4755*d - 1638*d + (-2*d + 0 + 0)*(-2 + 4 - 1))*(4*d - 3*d + 0*d - 3 + 3 - 2*d + (5*d - 3*d - 4*d)*(-1 + 6 - 3)).\nAnswer: -3145*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49204622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 25 = w. Suppose 20 = -w*o + 80. Let g = -70 + 105. Calculate the remainder when g is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15289 at most 6.146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*x - 383 + 415, -2*x + 92 = -5*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181102\/93*(-3)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddxdddxdxx. What is prob of picking 1 x and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 374*m + 92829. Calculate l(-248).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*f + 2 = -63*f, 4*a + 18 = 3*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*13\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {v: 2, n: 2, z: 7, u: 1, a: 8}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.164 (b) -4 (c) 1\/2 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - -6 - (-81 + 0). Suppose -4*u + q + 13 = 0. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-2))\/u*u*u**(1\/3)*u*u*(u**(1\/2))**(2\/3) assuming u is positive.\nAnswer: u**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 is divided by 281.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 30 = -115*g + 110*g, 2*t = 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + -2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 4 = -4*f. Let l(u) = u**2 + 4*u - 22. Let r be l(f). What are the prime factors of 25\/(-10)*16\/r*-71?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*o**2 - 211*i**2*o + 9480*i**2 + i*o + 1796*i + 2319*o + 1 wrt o.\nAnswer: 2*i**2*o - 211*i**2 + i + 2319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*-1*sqrt(95) + sqrt(95)))\/((sqrt(20)*-2)\/sqrt(4) + -6*(sqrt(5) + sqrt(10)\/sqrt(2))).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 - 3*l**2 - 185305*l - 6*l**3 + 185317*l + l**2 + 18 to x*l**3 + n + k*l**2 + h*l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28429 - -26805. What are the prime factors of m?\nAnswer: 2, 27617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*(z\/(z\/z**(-7)))\/z)*z*z**0*z)\/((((z\/z**(-7))\/z)\/z)\/(z\/z**(-4))))**(2\/7) assuming z is positive.\nAnswer: z**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134*s**2 - 10*s**2 - 67*s**4 - 66*s**4 + 2*s**5 + 678*s + 133*s**4 wrt s.\nAnswer: 40*s**3 + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657237331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -7*a + 0 + 0*a**2 + 1\/6*a**4 - 1\/3*a**3 + 3\/40*a**5 - 1\/30*a**6 - 1\/84*a**7. Let x(i) = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-35))*k\/(k**(-1\/32)*k)*k assuming k is positive.\nAnswer: k**(1153\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43694011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:37 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5051908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 57 + 19 + 17 + 3*f - 115.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.939 and 0.\nAnswer: -4.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/11)\/f**0*f\/f**(2\/11)*f*f*f**(-8)*f assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 21*a - 11*a.\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (17 + 0 + -16) - (-8 - 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*i**4 + 12*i**4 + 12*i**4 + (i + 0*i + 0*i)*(5 - 5 + 2*i**3).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 9:53 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (4\/11 + 120363\/(-8745)))\/((-9)\/65)\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70373, -140748, -211123, -281498, -351873, -422248?\nAnswer: -492623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -498 - 534005*s + 3290 + 535502*s wrt s.\nAnswer: 1497","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 214\/2461 + 282\/(-69). What is the fourth biggest value in -10\/31, -5, 1\/2, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -822 by -274.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/12 - j**4\/6 + 11*j**3\/6 - 11*j**2. Let t(i) = 14*i**2 + 11*i - 32. Let g(x) = 11*a(x) + 4*t(x). Give g(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -610, -1315, -2114, -3007, -3994, -5075?\nAnswer: -6250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1056 divided by 2\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 25*u = -5. Suppose 3*r + u*l - 13479995 = -r, -3*r + 5*l = -10110005. Round r to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31721 = -5*r + 191086. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3 + 4 - 1 - r + 2. Let k = 13 + -5. Suppose -a - 6 = -3*c, 0 = 7*c - 3*c + 3*a - k. Calculate o(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 56, 54, 52?\n\"Answer: -2*w + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by -95.\nAnswer: 99\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -48336*n + 8. Let x(z) = 2*z**2 - 2*z - 1. Let a be x(-1). Let p be d(a). What is p rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 62 - (-2)\/2. Let h = j + 119. Suppose 146 = 2*k - h. Calculate the highest common divisor of k and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.8 + 14.9. Let k = h + -6.25. Let x = k + 0.1500114. What is x rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 7*l - 0*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 5*l - 75 + 1 = -l + 11*u, -13*l - 3*u + 7 + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -3*p - 1\/2*p**2 - 29. Determine r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661842 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*c - 310*c = 56181. List the prime factors of c.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 28*r**2 - 53*r - 10. Does 16 divide w(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 11*q - 48. Let z be k(4). Let o be ((-16)\/(-12))\/(6*z\/(-54)). Let a(j) be the third derivative of -j**4\/24 + j**3\/2 + j**2. Give a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(272) + -4*(-1 + sqrt(272)) + 0)*-2)**2.\nAnswer: -59136 + 2304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 98742*y - 1 + 32 - 101 - 98742*y + 197485*y.\nAnswer: y - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000023985 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + 49 - 50*o**2 - 104 as a + h*o + u*o**2 and give u.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3018247.\nAnswer: 137, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 2*h - 12. Suppose 4*x = 31 - h. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + (sqrt(17) - sqrt(68) - sqrt(17))) + 5)**2.\nAnswer: -176*sqrt(17) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 390857 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 10*o - 12. Suppose -z + 28 = -4*r, -11 = -3*z + r + 18. Let p be t(z). Let g = p + -3. Which is the nearest to -0.1? (a) -5 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 4*s + 22)*(-5 - 3 + 1)*(-3 + 3 + 1) to n + p*s and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10691 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 16 = -4*v, -4*v - 4*h = 82 - 98 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -88340 divided by -28\nAnswer: 3155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/20 and 25\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Let h = 2.5345906 - 0.0345906. Which is the second biggest value? (a) h (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 15 - 15)*(-5 - 10 - 11).\nAnswer: 78*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 213*u. Let y(c) = -c - 52. What is v(y(z))?\nAnswer: -213*z - 11076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*q + 0*q + 4*q**3 - 3 + 11.\nAnswer: 4*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-462)\/(-44) - (-5)\/(-2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27926, -27325, -26726, -26129, -25534, -24941, -24350?\n\"Answer: -j**2 + 604*j - 28529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 1:37 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3523468452.\nAnswer: 2, 3, 7, 19, 337, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2 + 2)*(2 + 2*d**4 - 2) - 3*d**5 - d**5 + 0*d**5 + (3 + 2*d**5 - 3)*(0 + 0 + 2) + d**5 - 2*d**5 - d**5.\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12798 and 43\/316.\nAnswer: 25596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.1 + 7. Let q = -0.02 + -0.98. Let i = q - -4. Sort l, -0.5, i in descending order.\nAnswer: i, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005867631792 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9984598 is divided by 3328198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -16\/3. What is the nearest to n in 1, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2433, 3129, 3791, 4401, 4941, 5393?\nAnswer: 5739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 6*q**2 + q + 28. Determine s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1311 and -61\/9764157.\nAnswer: 224575611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*x + u, -5*x + 10 = 3*u. Let p be (4 - x) + (-27)\/15. What is the nearest to -2\/9 in -4, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 1, k: 2}. What is prob of sequence kp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + (sqrt(1331) + sqrt(1331) + -1)*1 + 4 + sqrt(1331)*-1))**2.\nAnswer: -22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 302 - 299 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:31 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 14*x + 5. Let c be j(14). Solve -c*q - 8 = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 6*l**2 - 6*l - 7. Let d be s(7). Suppose -r - g = -21, 2*r + 2*r - g - 79 = d. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*z = 4*a - 36, 0 = 5*a + 3*z - 25. Suppose a*u + 400 = 4*u. Let g be u\/(2\/3440*2). Round g to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - 0 - -4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 21, -38463 in ascending order.\nAnswer: -38463, -0.08, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b**2 - 3*b + 2. Give i(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/(-80) + 2 - 10) + -17 + 22?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17551452, 17551451, 17551450, 17551449, 17551448?\n\"Answer: -b + 17551453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18319066297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -1?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7009 + -4441. List the prime factors of j.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/b)\/b)**(-48)\/(b**(-1\/4)\/(b\/(b\/(b\/(b**(-1\/11)*b))*b))) assuming b is positive.\nAnswer: b**(25199\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-7)\/14 + 1). What are the prime factors of ((-504)\/(-60))\/(u\/65)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8*b + 21940 = -11*b, -b = 6. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w + 37. Give p(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.673 and 4.\nAnswer: -6.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30cc (base 14) in base 11?\nAnswer: -6358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -40*(-15)\/(-50)*-2. What is the highest common divisor of 144 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - ((-2935)\/(-25) + (-2)\/5). Let g = 265 - 136. Let j = g + z. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161034.39 to the nearest one thousand.\nAnswer: -1161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = l - 4*i + 7*i, i = 4. Let v be ((-64)\/l)\/(2\/15). Solve -v = -61*p + 65*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 542333 and 62040?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14234.98 years in months?\nAnswer: 170819.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365596684*k**3 + 310834678*k**2 wrt k.\nAnswer: -2193580104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -843018?\nAnswer: -1\/140503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 7*t + 5*t)*(-2*t**2 - 3*t**2 + 7*t**2)*(0*t**2 - 4*t**2 - 9*t**2).\nAnswer: 130*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7824*n - 31286. Let g be c(4). Factor 104\/3*x - 28*x**2 + g*x**3 - 4\/3*x**4 - 16.\nAnswer: -2*(x - 2)**3*(2*x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79300573 and 70587?\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 357152*r**2 - 3929156*r.\nAnswer: 4*r*(r - 11)*(r + 89299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - n + 6 = 0, 0*n = -y - n - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -24 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(2\/47)*n)\/n**(-31))\/(n**(-21)*n\/n**(1\/12)))**(-9) assuming n is positive.\nAnswer: n**(-91437\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwkawwaw. What is prob of picking 1 z and 2 w?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19424?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2374.49 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3986*c**2 - 3861*c**2 + 467*c + 7842*c**2 + (-3*c + c + 0*c)*(-3*c - 2*c + 7*c) - c + c - 2*c**2 to the form a*c**2 + k*c + z and give k.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2 + 24*l**4 - 8*l**2 + 3*l**2 wrt l.\nAnswer: 576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360 + 535*d**2 + 527*d**2 - 1061*d**2)*(4*d + 4*d - 5*d) + (2*d**2 + 0*d**2 - d**2)*(d - 1 + 1) + 3 - 3 + 2*d**3 + 6*d**3 - 4*d**3 - 3*d**3.\nAnswer: 5*d**3 + 1080*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9363, 9563, 9763, 9963?\nAnswer: 10163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 2, s: 1, t: 4, k: 1}. Give prob of sequence sbb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12579, -28242, -43911, -59586, -75267, -90954?\n\"Answer: -3*x**2 - 15654*x + 3078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z - 7*z - 4*z)*(-64*z + 9*z - 88*z) to c + k*z + d*z**2 and give d.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**6\/120 + j**5\/20 + 32*j**3\/3 + 46*j**2. Let g be t(0). What is the greatest common divisor of g and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - 3*c**3 - 3*c**3 + (-4*c + 4*c - c)*(1 - 2*c**2 - 1) + c**3 - 3 + 3 + 4*c**3 - 3*c**3 + 2*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 8, 2*g - 3*j = 15 - 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 62, -8\/119, -0.1, -4 in descending order.\nAnswer: 62, 4, -8\/119, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -29. Let v = -638 - -642. Let l = 0.1 + -0.03. What is the closest to 1\/3 in l, x, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -4 + 0\/1. Suppose 0 = -3*s - o*s - 4*i - 17, 3*i + 10 = -5*s. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-9)\/(-240)*22\/(-33).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*i - 207 = 0, -2*q + 5*i + 47 = -q. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 8. Suppose -818 = 14*r - 2596. Suppose -r + 7 = -4*i. What is the smallest common multiple of i and d(10)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -671323*d**5 + 88534*d**2 + 3*d wrt d?\nAnswer: -40279380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + ((-314)\/(-6))\/((-3366)\/1188)?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 13) to base 3\nAnswer: -10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -56*z + 586. Calculate the remainder when 107 is divided by d(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = z. Let l = z - -5. Let -12\/7*a**3 + 8\/7*a**4 - 2\/7*a + 8\/7*a**2 - 2\/7*a**l + 0 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*w**3 - 30*w**2 + 3760*w + 6*w**2 + 555*w + 8*w**2 wrt w.\nAnswer: -768*w - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21280833 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 3*f - 10. Let b be r(5). Let p = 2 - b. Let a(h) = 48*h**p - 11*h**2 - h**2. Let x(k) = -2*k**2. Give a(x(y)).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*28\/(-35)*-5. Suppose 4*g = -t*b + b + 9, 4*g + 15 = 5*b. Let z(h) = -2*h**3 - 2*h - 1. Let i be z(-1). Solve -m = i*u - g*m, -u - m = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2666748*m**2 + 7*m + 174289973 wrt m.\nAnswer: 5333496*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287917 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, f: 2, a: 1, l: 1, b: 1}. What is prob of picking 1 l and 1 f?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -2, -3, -4, 6, 19, 5 in descending order.\nAnswer: 19, 6, 5, -2, -3, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -321 - -321 - (-51 + 10).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 - -1131.9.\nAnswer: 1133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254558365 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k - 8. Let y(u) = -u + 1. What is h(g) + 6*y(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 22*x\/3 - 40\/3.\nAnswer: -(x + 2)*(x + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 806 + 119 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 - 8*f**2 + 5*f + 1. Let n(t) = 3*t**3 + 7*t**2 - 4*t - 1. Let q(g) = -5*n(g) - 4*w(g). Let p be q(2). Put 6, 3, p in increasing order.\nAnswer: p, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimtittititi. Give prob of sequence tt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {j: 2, o: 1, c: 3, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 173. Let d(t) = t**2 - 2. Let x(h) = -166*h**2 + 2*h + 93. Let i(v) = m*x(v) - 4*d(v). Find the second derivative of i(u) wrt u.\nAnswer: -340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q + 30*q + 81. Suppose 7*o + 2*o = q. Suppose 9 = 2*g + o. Solve -3*p + 5*v + 0*v = 16, -2*v - 2 = g*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148994894 divided by 794.\nAnswer: 187651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.806 * -0.11\nAnswer: 0.08866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 8, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c + 3*t - 23 = 0, -3*t = 3*c - 30. Suppose -3*l - 46 = -c*l + 5*z, z = -3*l + 44. Calculate the remainder when 40 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*s + 2, 9 - 3 = 3*z + 4*s. Suppose 4*n - 16 = 0, 5*p - 2*n = z*n - 36. Is 12 a factor of 0 + 1 + 39 + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3195 is divided by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 35 + 19*t + 14*t to the form s + a*t and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + 34 - (247 - 91)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4592*b**2 - 51*b**4 - 4587*b**2 - 118*b**4 - 4057 wrt b?\nAnswer: -676*b**3 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9 - (-17)\/3. Let o = 40 + -40. Solve o*m + f*m + 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3942903 plus -708?\nAnswer: 3942195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {s: 1, g: 2, w: 2, k: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11554645?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033130 - 1?\nAnswer: -1033131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 213\/12*66\/132.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(78) + sqrt(78) + (sqrt(78) - -2*(sqrt(78)*-3 - sqrt(78))))\/(1*(sqrt(600)*-2 - sqrt(600))*-4).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4643, 4635, 4617, 4583, 4527, 4443?\n\"Answer: -h**3 + h**2 - 4*h + 4647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -779, -7 in ascending order.\nAnswer: -779, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/28 + 38\/(-14). Let q be (-4)\/(d\/(-1) + -4). Is 6\/q*118\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-340))\/(28\/(5600\/30)). Find r, given that 38\/17*r**3 - j*r + 0 - 16\/17*r**2 - 14\/17*r**4 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 4*t + 18. Suppose t*y + 45 = 14*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6855, -6857, -6859, -6861, -6863?\nAnswer: -6865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 less than 15714796.0045?\nAnswer: 15714861.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1641344 (base 9) to base 15.\nAnswer: 1307b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let j = 0.07 - 19.07. Let v = j - -19. Which is the nearest to v? (a) o (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**6\/120 - w**5\/12 - w**4\/8 + w**3\/2 + w**2 + 27244*w. Let q = 0 + 0. Suppose 3*b - b + 6 = q. What is s(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 1, e: 1, m: 6, a: 2}. What is prob of picking 1 a and 1 e?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-2)\/v)*v)**(4\/15))**(8\/5))**(-2) assuming v is positive.\nAnswer: v**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5028)\/(-15))\/((-3)\/30*-4). Suppose 2*n - 3*u - 951 = g, 0 = 2*n - 4*u - 1786. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/60 + 5*v**4\/24 + 5*v**3\/6 + v. Let s(d) be the second derivative of t(d). What is the derivative of s(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y - 205*y - 3147 = 2336 + 3157 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 40, 54, 84, 136, 216, 330?\n\"Answer: n**3 - n**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 1482 - 1368. What is the remainder when 124 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64640 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42abd (base 15) to base 8\nAnswer: -635336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 7) in base 5?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2. Let b = 1 + 2. Let c be (3\/(-2))\/(b\/(-6)). Let g(v) = 6 + c*v - 6. Give p(g(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70455)\/110)\/(-183))\/(7*2\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 + 6195*c**3 - 9022005*c**2 - 54298755*c - 81531360 = 0?\nAnswer: -2097, -3, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37+1681.6\nAnswer: 1718.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (854\/2135)\/(2*(-3)\/345).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 3, l: 4, r: 2, x: 1}. What is prob of sequence rs?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 0. Suppose -v = g - n + 4*n, 5*g = -n. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (340 - 340 - 50*v**4)*(-32 - 36 + 54) as k*v + f*v**2 + a*v**4 + h*v**3 + o and give a.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15538 = -9*r - 8*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 24dae?\nAnswer: -24daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16426 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.8, 1, 1852?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*u - 2. Suppose -k + 12 = u*k. Let w be (-4)\/(-6) - k\/(-3). Solve w*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-15 + 25)) + (0 - (-3 + -2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) 1\/592104 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = 3*d - 0*r, 0 = d - r + 1. Let l be 4\/8 - (-11)\/d. Let j(b) be the first derivative of -b**4\/4 + 5*b**3\/3 + 2*b**2 + 8*b - 64. Give j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/132878579 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -248*h + 1. Let m(z) = -774*z - 11. Let l(b) = 211*b + 3. Let i(f) = 22*l(f) + 6*m(f). Determine i(j(g)).\nAnswer: 496*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 4 + sqrt(1377))**2 - (sqrt(204)\/sqrt(12) + 3).\nAnswer: 143*sqrt(17) + 5521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a = 10*a. Does -8\/13 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1262*p**5 - 247*p**2 + 1058351*p.\nAnswer: 25240*p**3 - 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*k - 2167*k = 51699 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 795157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-27))*r*r)**(-33)\/(r**(-4\/3)*r**(-2\/11)) assuming r is positive.\nAnswer: r**(-32620\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 - 130.18. Let q = 1069481 + -1069351.0118. Let j = t + q. Round j to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239 times -0.2\nAnswer: -47.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (455 - 422) + -9 + -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*b + 504 + 68 = 0, 4*b = -4*p + 584. Suppose 6*n + 54 - p = 0. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72285 = -106*t + 71225 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -20. Let k = -118.3 + o. Which is the closest to -2\/5? (a) 0.3 (b) -9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*f + 5*b, -6 + 4 = 2*b. Suppose -59 = -f*w + 285. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/5 + 9462385*u**2 + 189247688*u\/5 + 189247684\/5 = 0.\nAnswer: -47311921, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/20 + 7*y**4\/12 + y**3\/2 - 2*y**2 + 4*y. What is the tens digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 + 7*f**2 - 3*f**2 - 4*f**2. Let l(x) = -3*x. Determine l(v(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)\/(s\/((s*s**14)\/s)))\/(s*s**2\/s*s**(-2\/7)) assuming s is positive.\nAnswer: s**(1171\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50009*i**2 - 2*i - 2492.\nAnswer: 100018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 132223 (base 4) to base 6\nAnswer: 13031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 2*l + 3. Let n be o(3). Suppose 399 = -n*k + k. Suppose -2*s + 56 = -3*i - 209, -3*i = -3*s + k. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946928683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 181*r - 67. Let z be n(-2). Let k = z - -599. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 100, 137, 182, 235, 296, 365?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:23 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(3 - 5 + 5) - 3 - 2 + 3 + 5 - 3 - 4 + 1 + 2 - 2 + (4 + 0 - 6)*(1 - 4 + 5) - 3 + 1 + 4)*(-2*s + s + 6 - 3).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353657.\nAnswer: 353657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27544832 divided by 1216\nAnswer: 22652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/4 (b) 0.1 (c) -12.0862\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 290 in -0.2, -3\/5, -1\/21, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g - 1. Let f be z(-1). Suppose -3*m = d - 0*d + 8, 5*d = -m + 30. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22490638?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3695351 and -8\/33.\nAnswer: 11086053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-24)*(-700)\/2975?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 9, 1\/8, -166?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 - j**2 + 465*j**3 - 473*j**3)*(-6*j + 2*j - 4*j) in the form d*j**4 + m*j**2 + b + g*j**3 + o*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.9, 2\/13, 5, -0.054, 0.1, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 51*k**2 + k - 25. Determine p(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91 - -3a234?\nAnswer: 3a2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 1378 - 242 = 0. Let b = 289 - p. What are the prime factors of b?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -33*i + 449. Let n be g(49). Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6981 = 82*c + 97*c. Let d(i) = 13*i - 1. What is the lowest common multiple of d(1) and c?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 428954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 4*g = -966. Let i = g - 93. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + -305. Let w = f + 1096. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746*b + 54*b**3 + 746*b + 27*b**2 wrt b.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465452.6 nanometers to millimeters.\nAnswer: 0.4654526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 9 = 12*n, -3*n = 3*m + 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 13*d**2 + 14*d - 21. Let w be n(12). Solve -w*s + 25 - 2 = 2*v, 5*s - 5 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/10)\/x*x\/(x\/(x**(-32)\/x))*x*x)\/((x*x**(1\/28)\/x)\/x**(1\/15)) assuming x is positive.\nAnswer: x**(-2677\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 2, 0.06, -3, -4, 1.26, 5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-9 + 4 - -16) + -8 + -13.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125952 and 2176.\nAnswer: 2141184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5810 = -550*q + 716*q. Which is the second smallest value? (a) 1\/3 (b) q (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.94 - 1.06. Let m = x - -48.415. Let c = 0.72 - m. Round c to 2 dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -8, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 11. Suppose -u = 3*s + 2, 4*u - 4*s - 12 = k. Let b(q) = 5*q - 6. What is the tens digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - 96. Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 - 4\/14. Suppose -4*f - 6 = -c + 5, 0 = c + 4*f - 3. Let r be 9\/c - 10\/35. Solve z*t + t = -r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*o + 25209*b - 197 = 25207*b, o + 2*b + 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 56. Is 59694\/q + (-3)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = -0*s. Suppose 0*h - 3*h + s = 0. Solve -5*c + 16 - 2 = 4*v, h*c - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3222684.99705 - 3222876. Let c = 191 + y. What is c rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-4 - 13 + 2)*(0 - 1 + 2)*(4 - 2 - 1)*(-10*l + l**2 + 4*l**2 - 3*l**2).\nAnswer: 30*l**2 - 150*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35144, 70213, 105234, 140207, 175132?\n\"Answer: -24*g**2 + 35141*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3\/2, 436.\nAnswer: 3\/2, 8, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**3 + 86936 - 86936.\nAnswer: 118*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 34*m**3 + 17*m**3 + 22*m**3 - 10 - 17*m**3.\nAnswer: 56*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 75\/7, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24900 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1345 less than 0.4?\nAnswer: 0.5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 562873 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*r + 2*r - 40, -4*r = 4*b - 48. Let l be (-63)\/(-15) - 2\/r. Factor t**3 + l - 6*t - 3*t**3 + 4*t**3.\nAnswer: 2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -140. Suppose -5*g + 66 = 2*o - 139, -o + 5*g = -95. Calculate the highest common divisor of o and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, d: 4, v: 2}. Give prob of sequence ddd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.634237ml to litres.\nAnswer: 0.009634237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63554170 a multiple of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h\/(h**1\/h)*h)\/h)\/h)\/((h*h**(2\/5))\/h))\/(h**(2\/5)\/h)**(-12\/7) assuming h is positive.\nAnswer: h**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7658*u = 47*u - 121776 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 745601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 151720, 303501, 455282, 607063, 758844, 910625?\n\"Answer: 151781*m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/6 - 147*z**4\/2 - 887*z**3\/3 - 1333*z**2\/3 - 593*z\/2 - 445\/6 = 0 for z.\nAnswer: -1, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g + 13. Let y be z(0). Suppose x - 6 = y. Let d = x - -9. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/5? (a) 0.07 (b) 2.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25536 and 1853376?\nAnswer: 35214144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, x: 1, t: 1}. Give prob of sequence qqt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*r + r + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let z = v + 1. Suppose -5*l + 5 = -10. Solve z = -2*p - p - 3*w - 21, -2*p - l*w - 16 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-1)\/(-1108)). Let n = x + 3859\/7. Let t = n - -109\/35. Which is the third smallest value? (a) 3 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-176) - (-50)\/48?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003341746499 rounded to 5 dps?\nAnswer: -0.00334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k*k**(1\/22) assuming k is positive.\nAnswer: k**(-87\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1\/2 (b) -1\/4 (c) 111\/5 (d) 5 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-4)*69\/30 and ((-284)\/(-88))\/(-2 - -1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(((-23)\/10)\/23)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 30, 74, 140, 234, 362?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 21*c - 6. Let b be y(-8). Let x be (((-15)\/b)\/(1\/(-8)))\/1. What is the common denominator of (-3 - x)\/((-28)\/(-59)) and 99\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3125585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 26*l + 122. Let d be w(-5). Let j(k) = k**3 + 16*k**2 - 7*k - 49. What is the hundreds digit of j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**40\/o*o)\/o**7 assuming o is positive.\nAnswer: o**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + -17c48?\nAnswer: -17c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**(-3\/4)*h))\/h)**(-34\/5)*(h*h**0\/h)\/(h*h**(-5)))**(-2\/25) assuming h is positive.\nAnswer: h**(-193\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211648 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4248*h - 69 = 4247*h, 2*h - 357 = -5*s. Solve 82*z - 45 = s*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 771*d + 1320. Determine f(-3).\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 24. Suppose -n = -j*n + 6. Let c be ((-18)\/n - -3)*-10. What is the highest common factor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from {r: 2, u: 1, p: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m**4*m)*m)*m)\/(m**9\/m)*(m*m**4*m*m)**(18\/5) assuming m is positive.\nAnswer: m**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:09 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x - 40 = 0. Is ((-118)\/3)\/(x\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**3 + f**2 + 1. Let d(m) = 25*m**3 + 3*m**2 + 2. Let k(h) = 5*a(h) - 2*d(h). Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/((-168)\/630))\/(1*10\/(-1)). Factor -f*d**2 + 0 + 3\/4*d.\nAnswer: -3*d*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -15. Let k = -4 + q. Let l = -89 + 126. Calculate the remainder when l is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 234088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1720 = 3*r, -746 + 161 = -r - m. Suppose 3*p - 115 = -q, 0 = 5*q - 5*p - r + 85. Let i = 182 - q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 512*g**3\/3 + 160*g**2 - 21*g\/2 + 1\/6 = 0. What is g?\nAnswer: -1, 1\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*w + 5*g, g = 2*w - 0*w - 13. Suppose -20 = w*l - 100. Suppose -3*i = -188 + 182. What is the highest common divisor of l and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 155, 350, 623?\n\"Answer: 39*q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-4 - -1 - -2). Suppose -2*c - 3*c = a + 51, 5*c = p*a - 67. Let u = c + 19. Which is greater: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 100069, 100542, 101329, 102430?\n\"Answer: 157*f**2 + 2*f + 99910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Let m = u - 4. Which is the second smallest value? (a) m (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247500 and 18513?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3965*t + 6 = 3966*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -289, 2, -1 in decreasing order.\nAnswer: 2, -1, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 c when three letters picked without replacement from {h: 1, m: 3, t: 1, c: 4, x: 7}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = -4*o - 7, -2*u + 10 = 4*o. Solve 40\/9*a + 1\/9*a**5 - 17\/3*a**o + 31\/9*a**3 - 4\/3 - a**4 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165079180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2 + m + 0*m - 3. Let t be o(4). Solve 3*u + 1 + 5 = t*y, 0 = 5*y - 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8487*f + 1937*f - 157748 + 1639071 = 230443 for f.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 25*t**2 - 12*t - 219. Determine n(0).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let q(f) = 14*f - 2. Calculate 12*a(h) + q(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 3111376114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*6\/(-60))\/((-2)\/(-20)*-1). Solve -y*x + 3*b - 15 = x, 2*x + 10 = b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*10476.9221\nAnswer: 10476.9221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5630?\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 l when three letters picked without replacement from llltttvvvngllgltlv.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 766 = m, 3*m - 150 = 9*k - 10*k. Calculate the remainder when k is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-12) + (-4)\/3)*-2. Suppose 0 = n*z + 2*k + 1834, -4*z - 3*k + 2733 = -7*z. Let x = 1497 - z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225718 is divided by 360.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -36*j. Let m be g(1). Suppose 5*v = -16 - 4, -3*z = 2*v - 94. Let s = m + z. Let c(a) = a**3 + 4*a**2 + 2*a - 2. Determine c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 75 = -11*j, 3*j - 101 = -5*z - 70 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 1. What is q(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66604 (base 12) to base 8.\nAnswer: -410744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582208 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10 - 11 + 0 + a. Let u(r) = 125 - 122 + 11*r - 2*r. Let s(o) = -2*n(o) + u(o). Let i(b) = 8*b + 6. What is 4*i(w) - 5*s(w)?\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 8*a + 15. Suppose -9 = -4*r + 11. Suppose 4*b - 24 = 4*y, 0*y + y - 48 = -r*b. List the prime factors of l(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 429 = -3*c, 0*c + c = -3*g + 1295. What is the smallest common multiple of g and 18?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10904101 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2 = -14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 + 14*x - 1.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -518951\/191943 + -2\/63981. Find the common denominator of -85\/16 and l.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 380 and 3.4974.\nAnswer: 1329.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 62. Suppose -5*v + 0 = -5*q - 10, -2*q + v - 1 = 0. Calculate the smallest common multiple of q and k(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(72) + (-2*sqrt(72))**2*-2 - (sqrt(72) - (1 + sqrt(72)))*-3) + (sqrt(70)\/sqrt(5)*-6)\/((sqrt(448)*3 - sqrt(448)) + sqrt(7) + sqrt(7)).\nAnswer: -1737 + 53*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1198.94 + 1187. Let n = t - 39.16. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (15 + 0 - 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/12 - 4*k**3\/3 + k**2\/2 - 4*k. Let g be o(7). Let m(n) = -5 + n**3 + 104*n + 6*n**2 - 3 - 105*n. Give m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-4)\/(3 - 1). Suppose -z = -3*l + 2, -4*s + 5*l + 11 = 0. Suppose -3*k - 4*r = -3*r - 14, s*k + r = 18. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -2 - (-3 + 3). Let t = 170 + 648. Let b = 820 - t. What is the second smallest value in b, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**5 - 6*t**4 - 2*t**3 + 14*t**2 + 12*t + 4. Let w(c) = -c**5 + 7*c**4 + 3*c**3 - 13*c**2 - 12*c - 4. Let p(l) = -6*w(l) - 5*x(l). Factor p(g).\nAnswer: -4*(g - 1)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 2)*(5 + 4 - 20)*(8*w + 6*w - 4*w).\nAnswer: 110*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17*g + 10 - 7*g + 8 - g**2 - 3*g + 4*g. Let u be x(0). Solve -p = 5*j - u, j - 12 = -0*j - 3*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k**4 + 45*k**3 + 48*k**2 - 3*k - 36. Let p(d) = 3*d**4 - 11*d**3 - 12*d**2 + d + 9. Let t(r) = -5*l(r) - 21*p(r). Factor t(b).\nAnswer: -3*(b - 3)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 94 - 30 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38123199, -38123200, -38123205, -38123214, -38123227?\n\"Answer: -2*a**2 + 5*a - 38123202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248.6 + 288009.\nAnswer: 288257.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 209827543 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from pymfmyggmpmmf.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 20*q - 82. Does 9 divide k(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79010*i**2 + 17939*i**2 + 3766*i**2.\nAnswer: 100715*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 599237569\/18 + -33300774. Let d = -9802 - b. Find the common denominator of d and 166\/8 + -1 + 5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -3*w**8\/112 - w**7\/10 + w**5\/5 - 30*w**2. Suppose j(i) = 0. What is i?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-140700\nAnswer: -562800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -326, -489?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 12, -1, 129 in decreasing order.\nAnswer: 129, 12, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -48. Suppose 2*u - 142 = -4*b, -4*u = -0*b + f*b - 86. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/4 - 6913*w**3\/2 + 151983*w**2\/4 - 124335*w\/2 = 0.\nAnswer: 0, 2, 9, 13815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 5*f + 6. Let j be l(-4). Let a(s) = -6 - 3*s**2 + 4*s**j + 6. Let p(i) = 2*i + 5*i - 4*i - 2*i. Give a(p(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1))**(-32)\/(t**(1\/2))**20*((t*t*t\/t**2*t)\/t**(-2\/3))**2 assuming t is positive.\nAnswer: t**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3.96. Let l = q - 0.54. Let s be -2 - 5\/((-60)\/16). Which is the third smallest value? (a) l (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3379\/6 + -1127\/2. Put f, -2, -0.3, -0.487, -1\/6 in increasing order.\nAnswer: -2, -0.487, f, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15530573 to the power of 1\/2, to the nearest integer?\nAnswer: 3941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/18 - (-1)\/1. Let h = 23\/5 + -133\/30. Let v = -0.1 + 0.1. Which is the closest to -1? (a) h (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206.9612 + -0.0388. Let w = 136.2 + c. What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - 2*z**2 + z. Suppose 137 - 139 = -2*s. Give j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.250955 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a*(a\/(a**20\/a))\/a*((a\/a**15)\/a)**(16\/9))**(-1\/63) assuming a is positive.\nAnswer: a**(143\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 10*u**3 + 4*u**3)*(-2 + 0 + 1)*(u + u**2 - u).\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k**2 + 42*k**2 - 18*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/587 - -1923\/98029. Which is the nearest to 3? (a) 3 (b) 5\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-4)*(26\/60)\/13)\/((-65)\/(-117)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/(-80)*132\/77?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151018 and 1887725?\nAnswer: 3775450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l - 2*r + 210, 0 = -l - 4*r + 212. Calculate the highest common factor of 48 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306865, 306864, 306863, 306862?\nAnswer: 306861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 - -60. Is -74 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4832652 by 805442.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/2)\/b)\/b)**(-2\/5)\/((b**12*b)\/((b*b**13\/b)\/b)) assuming b is positive.\nAnswer: b**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-90)*(60\/(-24))\/(5\/(-10)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p. Let o(h) = -14 + 25 + 24 - h. Let r be o(p). Calculate the greatest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*43748\nAnswer: 4374.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1108 - -817. What is the greatest common factor of 154 and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -887389\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/5*16\/8*(-3)\/12*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*185\/(-195))\/(101\/1313)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.4 - -55.4. Let t(i) = -i + 10. Let j be t(6). Which is the second biggest value? (a) j (b) s (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-15)\/(-9)) + 23 + 2. Suppose -h - p = 5*f, -2*h - f - 2 = -5*f. Let v(a) = a**2 + 2*a + 42. List the prime factors of v(h).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(0 - (-4)\/8). Let d = 9 - y. Calculate the greatest common factor of 70 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7816 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34134511 and 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**9\/45360 - k**8\/5040 + k**7\/1512 - k**6\/1080 - k**4\/6 - 4*k**2. Let l(f) be the second derivative of t(f). Factor l(o).\nAnswer: o*(o - 2)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -80*o**2 + 13528*o - 1343. What is t(169)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d - 1583 + 1583)*(2*d**2 + d**2 - d**2 - d**2 - 4*d**2 + 3*d**2 + (-2*d + 5*d - 2*d)*(-d + 2*d + 0*d)).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1728 divided by -288.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Suppose -18 = -2*l - y*j + 14, 0 = -5*l - j + 125. What is the common denominator of l and -45\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885557330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*k - 6, -29*k - u - 213 = -6*u for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(88)*-6)\/(sqrt(72) + sqrt(72)*1 + -3*-1*sqrt(8)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*h**3 - 15*h**3 + 27*h**3)*(0 + 0 + 7).\nAnswer: -35*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7759\/9 + -862. Let w(t) be the third derivative of -h*t**3 + 1\/180*t**5 - 13*t**2 + 0 - 1\/72*t**4 + 0*t. What is n in w(n) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -765 - 782 - 782 + 2306 - 4*f. Let r(l) = -2*l - 12. Determine -3*o(y) + 5*r(y).\nAnswer: 2*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 136*m + 8. Let i(f) = 135*f + 5. What is -3*i(l) + 2*v(l)?\nAnswer: -133*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -428*x + 289329. What is b(676)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1428283616 to the nearest integer?\nAnswer: 37793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g**3 - g**2 - g + 1. Let x be v(1). Let a = 48 + x. Let h = 44 - a. Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/10 + (7134\/(-205) - -36). What is the nearest to -1 in 2, 8, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 11*k + 1 = -13*k, -3*l = 2*k - 5. Let d = 2 - 1. Let n be l*(1 + 0)*(-1 + d). Solve n = 2*q - 0 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 134, -5, 1, 5, -309 in increasing order.\nAnswer: -309, -5, -2, 1, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 56 = 6*y, -4*y - 163431*a = -163436*a - 34 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n. Let d(h) = h**2 - h. Let o(q) = -4*d(q) - 5*p(q). Let a(r) be the first derivative of r**3 - 3*r**2\/2 + r + 12. What is -a(g) + o(g)?\nAnswer: -2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -119\/2. Factor 1\/2*q**5 + q**2 - 3\/2*q - b*q**4 + q**3 + 1\/2.\nAnswer: (q - 1)**4*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*f + 38 = 5*o, 4 = -f. Calculate the remainder when 89 is divided by 50\/15*o\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*1*(115\/(-23))\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*x + 1426*x - 106*x in the form b + n*x and give n.\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0*y + 1\/60*y**5 + 1\/2*y**3 + 0 - 1\/120*y**6 + 5\/24*y**4 + 3*y**2. What is n in w(n) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26468 in 10\/3, -4, -3\/4?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5310167 less than 1434108?\nAnswer: 1434114.5310167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j - 4*o, j - 10 = -5*o - 17. Solve 0 = -j*k + 4 - 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and -19574.5?\nAnswer: 46978.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.1 and 12.7.\nAnswer: -191.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 2. Let q be u(0). Suppose 3*l + 6 = -q*i, -2*i + 4*l + 18 + 4 = 0. What is the greatest common factor of i and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24054251*o**5 + 2*o**4 - 142764*o + 68?\nAnswer: -481085020*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - 0.01. Let j = k - -0.33. Which is greater: -25 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 876*w + 187620. What is s(-373)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -18. Let i = -25 + j. Let q = 0.13 + -0.53. Which is the nearest to -3? (a) i (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -60, -98, -140, -186?\n\"Answer: -2*v**2 - 28*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1554372 and 8352.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, 1, -462, -127.\nAnswer: -462, -127, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266904 is divided by 615?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 16*v**2 + 5. Let i be l(16). Let f = 13 - -1. Suppose n - 6*n - 4 = -4*o, -o = -5*n + f. Solve i*d - 5*c = 10, -3*c = -4*d - o*c + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:44 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from orrrrorooororrorooor.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(1 + (-14)\/10). Let x(i) = -481*i - 466*i + 945*i + 47 - 27 - 23. Give x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 + 4 + 5*m)*(1 + 25 - 6).\nAnswer: 100*m - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*x - x, z = 2*x. Find r, given that -3\/4*r + 1\/8*r**2 + x = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6 + (42 + 28 + 14)*(-1 + 1 + 2))*(-a - 6*a - 3*a).\nAnswer: -1690*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424\/(-36) - (160\/72)\/10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-11) - 0) + 6255\/(-1529).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 129. Let z(n) = n + 69. Let x be z(11). What is the highest common factor of m and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 8. Suppose t = -2*t. Is m(t) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*v*w**2 + 46*v*w - 1482866*v - 62*w**2 + 9*w wrt w.\nAnswer: 12*v*w + 46*v - 124*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 2180?\nAnswer: 2180.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + ((-8)\/(-2) - 1). Suppose f - 5*f = -40. Let b = -7 + f. Is b equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 1\/8*v**4 + 4*v**2 + 1\/60*v**5 - 1\/6*v**3 + 0 - 1\/120*v**6 + 0*v. Let b be z(2). Solve -2*q + 7 = -b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 2*u - 391. Suppose -5*t - 225 = -u. Solve t*i - 4 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmdm when four letters picked without replacement from {d: 4, t: 3, m: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1964684 and 133\/12.\nAnswer: 5894052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*v - 32, 1 = 3*u - v - 12. Suppose 4*t - 9 = u*t. What is the remainder when ((-32)\/(-10))\/((-1)\/(-5)) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15880 is divided by 7921.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22575*y + 2793472 + 887084 = 5308*y for y.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 32405 - 48156 + 7289 = 0. What is the highest common factor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9235\/18948?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 + -175.7. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14503691.\nAnswer: 31, 67, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -17*g**2 - 15. Let q(p) = -2*p**2. What is q(v(u))?\nAnswer: -578*u**4 - 1020*u**2 - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 48*v + 401. Let i be f(-55). Let l be 176\/i*2\/11. Factor -6\/7 - 10\/7*m - 2\/7*m**l + 2\/7*m**3.\nAnswer: 2*(m - 3)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from kkkxoorrrnkooro?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -16*v - 1. Let c be x(1). Let r = 19 + c. Let w be r\/(-12) + (-52)\/(-24). Solve -w*o - 6 = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 811072\/(-5336)*(-36)\/(-57)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 383497, 383397, 383291, 383179, 383061?\n\"Answer: -3*p**2 - 91*p + 383591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1122179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 92, 149, 210?\n\"Answer: 2*x**2 + 47*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12590161*n**4 + 4342484*n wrt n.\nAnswer: 151081932*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 g when four letters picked without replacement from {z: 6, g: 1, h: 1, v: 1, y: 4}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22521, -45035, -67549, -90063?\n\"Answer: -22514*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*z = -7, -4*z + 10 = -5*q + 31. Let b = q + -6. Let w = b + 4. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 12*d + 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1*42\/(-12). Suppose 2*r - w + 1907 = x*r, 0 = r - 3*w - 375. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -371*b. Let t(h) = 10*h. Let y(g) = -k(g) - 35*t(g). Let u(a) = -43*a. What is -3*u(x) - 7*y(x)?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 17*j**2 + j. Calculate d(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -85. Let i(v) = -107*v**4 + 152*v - 6. Let q(m) = m**4 - m - 1. Let a(t) = b*i(t) + 6*q(t). Find the second derivative of a(o) wrt o.\nAnswer: 1356*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1497.99999377 - 1498. What is z rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 14*b - 2. Let k(o) = 4*o**3 - 2*o + 2. Let l be k(b). Suppose 2*p - 47 = -5*s, -l*s = 4*p + 1 - 29. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -9. Let f = 5 + -7. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -32*g. Let u(w) = -736*w. What is -136*c(r) + 6*u(r)?\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let s(c) = -2963*c. Calculate b(s(t)).\nAnswer: -2963*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.3459 meters in micrometers?\nAnswer: 146345900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/2 - -103\/6. Factor o*l**2 + 0 + 2\/3*l**3 + 2*l.\nAnswer: 2*l*(l + 1)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 + 3*a - 3*a + (-4 + 2*a + 4)*(0*a**2 + 0*a**2 + 2*a**3)*(6*a - 2*a - 2*a).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 2*k**2 - 2*k)*(-k**2 + 3*k**2 + 0*k**2) to the form b*k**4 + c*k**2 + p*k + v*k**3 + n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 h when four letters picked without replacement from {c: 5, h: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1726?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -20. Let h be (-12)\/(-16)*10\/j. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*f + 802, -2*x = -6*f + f + 528. Let m = -179 - x. Suppose m = 2*n - 67. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o**(-4)*(o\/(o\/o**(-2\/3)))**(-40))**36)**11 assuming o is positive.\nAnswer: o**9372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -12503708915878?\nAnswer: -12503708915877.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8953 - 6386. List the prime factors of g.\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let t = -22 + -14. Let v = -36 - t. Which is the nearest to g? (a) v (b) 4\/3 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 522\/(-5) - (-54)\/90. Let y = n + 3749\/30. What is the common denominator of ((-29)\/(-18))\/(12\/16) and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1126 - 1125.99997015. Round c to seven dps.\nAnswer: 0.0000299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/276*84\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -15, -44, -87, -144, -215?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 316 and 1456365?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 510 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let t(m) = -1. Let k = -162 - -163. Let j(x) = 3*x. What is k*j(o) + n*t(o)?\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -645*n + 1465. What is the hundreds digit of o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 2. Let r be c(-5). Let d(u) = 315 - 2*u + 11*u**2 - 311 + 13*u**2 - u**3 - 8*u**2 - 21*u**2. What is d(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 71*f**3\/2 - 7*f**2 + 105*f. Differentiate i(v) with respect to v.\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007226?\nAnswer: 2, 3, 11, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8168 - 8129. Solve i*g + 145 = 379 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-3*q + 4*q - 3*q)*(2*q**2 + q**2 - q**2) as c*q**2 + f*q + i*q**3 + m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-54))\/1*3. Let i = -0.16 + -0.04. Which is the nearest to -1\/2? (a) i (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.1. Let v = -0.3 - m. Suppose -3*x + 4 = 5*t - 3, 7 = t - 5*x. Are v and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19498856.\nAnswer: 2, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*s + 79*s - 64 = 0. Solve 2*n + n = -2*m + s, -4*m + 28 = 5*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/81))\/d**(19\/4)*(d\/(d\/(d*(d**(-2\/41)*d)\/d)))**(17\/6))**(-1\/20) assuming d is positive.\nAnswer: d**(2737\/53136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 2773?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320*r**3 - 1040*r**2 + 1125*r - 405.\nAnswer: 5*(r - 1)*(8*r - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(28) + -1 + 0 + sqrt(28) + -4))**2 - (sqrt(84) + -1*sqrt(84)*2)\/(sqrt(60)\/sqrt(5)*-4 - sqrt(12)).\nAnswer: -7201*sqrt(7)\/5 + 4932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -184 (base 14) to base 12\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 28872*q + 69466032.\nAnswer: 3*(q + 4812)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283 divided by -29851?\nAnswer: -5283\/29851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(70) + sqrt(70)*2 + sqrt(70))*4 + sqrt(70) + sqrt(70))\/sqrt(7))\/(-5*(3*(sqrt(405)*-1 - sqrt(405)) + sqrt(405) - sqrt(405))).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.0227165s?\nAnswer: 0.00111742125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + -4 - (14 + 3) - -18.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -99 + (8 - 44)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(8\/1))\/(-1*14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 0.1, 2\/9, -1\/5, -4\/5, 11?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 175\/1212?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 4132724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32882568.49 and 0.06038?\nAnswer: 32882568.55038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s - 2. Let j(n) = -508*n**3 + 1. Let a be j(s). Is a\/(-21) - (-3)\/(-84)*4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*y - 1 + 6 = 0, 41 = 5*m + y. Suppose -35 - 113 = -4*a. Calculate the remainder when a is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.70408 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 21*t - 85. Let i be r(15). Solve -8 = -i*a - 33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - 2.6999464. Round b to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 3628603?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11200 - 1?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2 - 306*a + 7803 = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-53 - -71 - -1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34447?\nAnswer: 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251 - -466. Suppose -2*j - 178 = -4*y, -5*j + w = 3*y + 2*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44 + -1 - (-9)\/(-3). Let d be 4*10\/(-540) + (-137)\/(-27). What is the highest common factor of l and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from fmkmkffmkkkm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*t + 12 = -5*z, 0 = z - 5*t - 21. Let k be 12\/21*z\/4. What is the second biggest value in k, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1149.4 + -1149.8. What is the second smallest value in 1\/27, r, -12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31274.9 litres?\nAnswer: 31274900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 351*p + 18920. Calculate n(-285).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2475 and -37\/66?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 4*v + 7. Suppose -3*m + 9*m = -30. Give s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 415*s**3 - 4165*s**2 + 10525*s - 375 = 0?\nAnswer: 3\/83, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34 (b) 3 (c) 18\/49 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, p: 3, g: 4, l: 1}. Give prob of picking 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiii when four letters picked without replacement from fifffiffifiifiiffff.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/22*(-1)\/((-3)\/(-12)). Factor -23*s - 3*s**z - 2*s**2 + 0*s**2 - 2*s.\nAnswer: -5*s*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r - 26*r - 135. Calculate the remainder when r is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 598 - 582. Calculate the least common multiple of o and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194 + 1360\/7. Let h = -10 + 10.5. Which is the second smallest value? (a) d (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 308*a**2 + 16*a - 454. Let t be p(26). What is t rounded to the nearest one thousand?\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * 64.2.\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 4.82. Let f = m - -0.12. What is f rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 72 + 100*z**2 - 49*z**2 - 47*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 86 + 34 = 0. Suppose 16*u + m = 12*u. Let h be u\/15*(-2 - 1). What is the highest common factor of h and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-2*((-25)\/(-15))\/(70\/(-21))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 + 38\/14. Let i = -0.5 + -1.57. Let n = i - -0.07. Sort -1\/4, n, u in descending order.\nAnswer: u, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21774)\/8022 + (-2)\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**7\/462 + 8*s**6\/165 + 21*s**5\/110 - 18*s**4\/11 - 81*s**3\/22 - 4371*s + 3. Find i, given that k(i) = 0.\nAnswer: -9, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145\/138 + 2719\/1610. Find the common denominator of j and -68\/27.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4893.\nAnswer: 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44 and -3.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418 is divided by 786.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 38. Let h(i) = 0 - 5 - 1 + 2*i + u. Let j(n) = -6*n + 11. Determine -8*h(o) - 3*j(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21440430 - -2?\nAnswer: 21440432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.134 + 25319?\nAnswer: 25310.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 16. Suppose -o + 5*v - w = 0, -3*o + 3*v = -6*o + 75. What is the remainder when ((-12)\/(-8))\/((-239)\/(-118) - 2) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 218948198 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 43 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36452 - 36447. Let i(x) be the second derivative of 0 - 9\/20*x**t + 0*x**3 + 0*x**2 + 42*x + 1\/6*x**4 + 2\/15*x**6. Factor i(z).\nAnswer: z**2*(z - 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 4*o. Let j(h) = 0*h**2 - 2*h**2 + 8*h**2 + h - 5*h**2. Let c(t) = 3*j(t) - u(t). What is the second derivative of c(y) wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -4*b**3 + 9*b**2\/2 + 2*b + 6204. Let s(r) = -4*r + 1 - 3 + 6*r**2 + 1. Determine 2*p(v) + 5*s(v).\nAnswer: 6*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 193513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 14082b?\nAnswer: 140832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*v**4 + 924*v**3 - 1898*v**2 - 1320*v - 200 = 0. What is v?\nAnswer: -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -76. Let n be 14\/(-18) + o\/45. Let r(i) = 10*i**2 + 22. Let g(a) = a**2. Let m(t) = n*r(t) + 2*g(t). Differentiate m(y) with respect to y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + b**3 - 2441*b**2 + b + 2451*b**2 + (-2*b**3 + b**3 + 4*b**3)*(-2 + 1 - 1).\nAnswer: -5*b**3 + 10*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 4, 7, 10, 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 269267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 224, 905, 2040, 3629, 5672?\n\"Answer: 227*x**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -30*u + 188 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/138565 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44661 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 978 (c) -27 (d) -1\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or -213?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 63*y + 4. Suppose 5*r = j + 14, 0 = -4*j + r + r - 2. Is o(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-21 + 22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*z**2 + 234*z**2 + 437*z**2 + 223*z**2 as a*z**2 + p*z + g and give a.\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269980 smaller than 18269974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = -4*i, -6*o + 4*i = -2*o - 36. Suppose o*v + 90 - 340 = 0. Calculate the highest common divisor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/60 + r**4\/24 + r**3\/6 - r**2. Let y(s) = s**2 - 4*s. Let o be y(4). What is the units digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2072 = -4*o - 15*a + 11*a, 5*a + 2070 = -4*o. Is -1\/3 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -v - v. Suppose 3*b + 4*h - 14 = 0, 2*b + 12 = v*b + 5*h. Suppose b*c - 441 = -d, 3*c - 5*d = 455 + 213. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -582, -1166, -1754, -2346, -2942, -3542?\n\"Answer: -2*c**2 - 578*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l + 74*l - 33*l = 185 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) -2 (c) -1.8 (d) -115 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42107003.\nAnswer: 193, 218171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 9. Let m be k(-6). Suppose 0 = -2*g - m*g + 745. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -82, -171, -278, -415, -594, -827, -1126?\n\"Answer: -2*j**3 + 3*j**2 - 84*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/110 and 2\/241549.\nAnswer: 2415490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0501773682 + 0.05018. Round r to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75402 is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 3*g**2 - 3*g + 12. Calculate h(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 152 - 136 = 5*g, 2*b = 4*g - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {n: 4, c: 2, f: 1, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 8*d + 8. Let u(c) = c + 2. Let x be u(-7). Let g be n(x). Solve -4*i - 1 - 3 = -4*r, 5*r - g = -4*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78\/10*(-4 - -9). Let f be 2\/(-5)*(-66 + 1). What is the highest common factor of f and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -651aa (base 12) to base 15.\nAnswer: -2978a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136.827 + -137. Let j = 5.462 - g. Let i = j - -0.125. Round i to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.7. Let h = -98 - -67. Let c = 28 + h. What is the smallest value in c, p, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23776210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**2 - 1. Let w be q(1). Suppose -6*i + 4*i + w = 0. Sort i, 0, 5 in increasing order.\nAnswer: 0, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*o + 15 = 0, 4*b - o - 3*o + 16 = 0. Let u be b*(1 - -1) - -1. Suppose 3 + 3 = u*d. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 - p. Let f(w) = w**3 - 16*w**2 + 18*w + 21. Let r(k) = -f(k) - 2*m(k). Let c be r(-15). Let j(i) = 2*i + 8. What is j(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 11\/2*n**2 + 4\/3*n**3 - 5\/12*n**4 + 44*n + 0. Let q(i) = 2*i**2 - 3*i - 4. What is -3*o(k) - 8*q(k)?\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5677808 and 2527?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 6. Let b be w(5). Let j(l) = -3*l + b*l + 0*l + l**2 - 4. Calculate j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/3)\/(1\/(-9)). Let y = -315.9509 - 0.0491. Let h = y - -314. What is the second biggest value in k, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.9972ml in litres?\nAnswer: 0.5249972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26595 and 25?\nAnswer: 132975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 51076*k**5 - 257188*k**4 + 111208*k**3 + 404912*k**2 - 14432*k + 128 = 0.\nAnswer: -1, 2\/113, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 53*j - 496. Let q be t(-13). Solve 16*i - q = 22*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + 2*(sqrt(2736) - (sqrt(2736) + -2))**2 + sqrt(2736) - (1*(2 + sqrt(2736)) - 4*(sqrt(2736) + sqrt(2736) + 1))) + -3).\nAnswer: -576*sqrt(19) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(-1)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6497.63135 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115654820 and 1592.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -61. Suppose 2*b + 3*a = 18, v*a = -13*b + 16*b - 46. Calculate the remainder when 370 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2276\/11, -2, 4\/29, -5, 4, 3\/2.\nAnswer: -2276\/11, -5, -2, 4\/29, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r + 6. Calculate d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -41. Let s = 21 + u. Suppose 4*z = 4*a + 44, -2 = -3*z - 3*a + 7. Calculate the remainder when s is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 586 + -114. Let l = m + -470. Suppose 0 + 2\/9*o**3 - 2\/9*o**5 + 2\/9*o**l + 0*o - 2\/9*o**4 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5079 + -243803\/48. Calculate the common denominator of i and -63\/92.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q - 240 = 0. Calculate the greatest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**6 + 483*r**5 + 436*r**2 + 8*r + 2 wrt r?\nAnswer: 480*r**3 + 28980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16 = -i. Let h = 4 - i. What are the prime factors of 10 - (2 + 1*h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12893127 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*o - 5*u - 8, -2*u = -5*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p + 33*p - 65 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/117 (b) -137 (c) 0.1 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -2*(-32)\/2*95\/38 and 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -88*j**2 + 7*j - 19913. Let d(z) = 50*z**2 - 4*z + 9957. Determine -7*d(o) - 4*s(o).\nAnswer: 2*o**2 + 9953","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*j = 2*j + 9, -3*o + 4*j + 3 = 0. Suppose -w + 28 = p, -17*w + 21*w - 80 = -3*p. Sort p, o, 2 in decreasing order.\nAnswer: p, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -3160?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - -0.12. Which is greater: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12269510 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11946*o**2 - 1564924*o + 260. Calculate z(-131).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 12. Is 4\/(u\/(-36)*4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61b21d - 1?\nAnswer: 61b21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*f**2 + 230*f - 8.\nAnswer: -(f - 2)*(113*f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 429, 1803, 4619, 9381?\nAnswer: 16593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oazo when four letters picked without replacement from {a: 3, n: 2, z: 1, v: 2, o: 11}.\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12 + 7\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34367*a**3 + 16917*a**3 + 16992*a**3.\nAnswer: -458*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aggvgvgckggggvcggga. What is prob of picking 2 c and 2 g?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -22. Let m be i - ((-2 - -2) + 2). Is 6 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((-4)\/(2 + -1) - -3). Sort -2, -3, 5, o in decreasing order.\nAnswer: 5, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(2\/(-21)*-1)\/((-220)\/(-165))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 66, 4, 2 in ascending order.\nAnswer: -12, -2, 2, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 3*f**2 + f - 3. Let r be c(3). Suppose s + 9 - 12 = r. Find the third derivative of -4*k**2 + 4*k**3 + 25*k**2 - 3*k**s wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 14 = -3*m, m + s = 5*m - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873998.\nAnswer: 2, 436999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/3 - 281*w**3\/3 + 16244*w**2\/3 + 491264*w\/3 + 1016576 = 0.\nAnswer: -12, -11, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k + 10. Let h(u) = 23*u + 29. Let t(s) = 17*d(s) - 6*h(s). Let b be t(-3). Determine g so that -g**2 - g**2 + 0*g**b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2*v**2 - 6101*o**2 + 5*o*v**2 - 103*v**3 wrt v.\nAnswer: -2*o**2*v + 10*o*v - 309*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425501711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1932)\/414)\/((-12)\/(-18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Put k, -2, 1 in descending order.\nAnswer: k, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*x - 20, 2*b + 5*x - 19 = 10*x. Factor -4\/3*t**b + 2\/3*t**4 + 0*t**3 + 2\/3 + 0*t.\nAnswer: 2*(t - 1)**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/2)*h)\/h**(-2\/11))\/(h*h**(-4)\/h*h*h**(2\/11)*h) assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 s when four letters picked without replacement from zsuszzuuuzu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605530 divided by 868510?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64561 divided by 6?\nAnswer: 64561\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/4*30\/(-25). Let g be 2\/i - 8094\/9. What is g rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**6\/12 + z**5\/10 - 3*z**4\/2 + 2*z**3\/3 + 4*z**2 + 339. Factor a(r).\nAnswer: r*(r - 2)**2*(r + 1)*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 20 - 17*g - 56)*(0*g + g**2 + 0*g) to h + d*g**2 + b*g**3 + w*g and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*c - 18, 43*x + 4 = 48*x + 24*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 11*j**2 - j + 11. Let v be g(11). Suppose 3*w - 45 = 2*x - 284, v = 2*x + 3*w - 221. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:59 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 - 4*j**2 - 4*j - 2. Suppose 2*d - 2*g + 24 = 3*g, 3*g - 12 = 0. Calculate the remainder when h(d) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343406816?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 2*g + 1543 - 1543.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (5 + -16 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207033742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 24*j + 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1203097*j**5 + 16*j**2 - 19558*j.\nAnswer: -72185820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 200618 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472122 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/8)\/(1\/218). Let y = q + 65. Let k = -2 - y. Calculate the greatest common factor of 63 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1509\/2 + -2775\/4. Suppose -5*m + 325 - 48 = -4*l, -3*l + 265 = 4*m. Which is greater: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(22\/132 - 3\/(-9)). Which is the closest to f? (a) -2\/9 (b) -14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i - 107*i + 30 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17*x + 17)*(5 - 5 - 2*x**2) + (0 + 0 + x)*(-6*x**2 + 4*x**2 + 3*x**2).\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + -15*4\/(-12). Let s be 5\/(1 - -2 - 8\/h). Factor 3\/4*j + 21\/8*j**3 - 27\/8*j**s + 0.\nAnswer: 3*j*(j - 1)*(7*j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-5 - 0) - 2. Let d(f) = -10*f + 3. Let b(s) = s. Let g(q) = z*d(q) + 4*b(q). Differentiate g(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*2*(-27)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 266 and -0.3.\nAnswer: 265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24.089 litres?\nAnswer: 24089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by (5\/((-20)\/8))\/((-6)\/93).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 + 1 + (0 - 2 + 0)*(5 - 6 + 5) - 1 + 0 - 1)*(-1 + 3 + 129*x - 127*x) to the form t + w*x and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -586*y + 1177*y + 3*y**4 + 0*y**3 - 26 - 3*y**2 + 2*y**3 - 591*y as a + l*y + s*y**4 + v*y**2 + k*y**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 0*w**3 + 3*w - w**3 + 4 - 3*w**2 - 3*w. Is n(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + 2*t. Give r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, e: 1, f: 4, v: 3, a: 2, w: 1}. What is prob of picking 1 a, 1 p, and 1 f?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000010110101000001010 (base 2) to base 12.\nAnswer: 2a101a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**17\/z**(-32))**(-41) assuming z is positive.\nAnswer: z**(-2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(4)\/sqrt(2)*-3).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*x + 153*x = 54. Suppose 0 = -x*w - 35*w + 193561. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0389594 to 4 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4665 - 3966 = -7*y. Let i = -326 + y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4684 - -5191. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -31 - ((-15 - (19 - 24)) + 3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-20))\/(-1*(-3)\/124).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439940 is divided by 4617?\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 253 and -0.04028?\nAnswer: 253.04028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(176) + sqrt(176))*-6)\/(2*sqrt(99)))\/((sqrt(8) + sqrt(72)\/sqrt(9))*-4*-4*4).\nAnswer: -sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -5, -3, -435, -592?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44953992121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(300) + 1))**2 + 1 - (-1 + sqrt(300) + sqrt(300) + 1 + 1).\nAnswer: 60*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*k**2 + 7*k + 1267 with respect to k.\nAnswer: 14*k + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 91253 = -32*r + 37*r, 2*y + 3*r - 60848 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 3498*b**2 + 0*b - 3502*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 54. Suppose -3*d + 2*d + 30 = 3*l, z = 3*l. List the prime factors of 4362\/d + -3 + 6\/10.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*g + 14. Let l be 5\/(g\/24 + 0). Suppose -l = -5*h - 0*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(168))\/sqrt(12))\/(sqrt(847) - (sqrt(847) - -2*sqrt(847))).\nAnswer: -3 + sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/55800 and 131\/13950.\nAnswer: 55800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**5\/5 - 4948*b**4\/5 + 49672*b**3\/15 - 6652*b**2\/15 - 1546*b - 1656\/5 = 0. Calculate b.\nAnswer: -828, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 5 = -3*b + 5*l, -5*l = -25. Suppose -12 = -2*q - 2*w, -b*w - 21 = -9*q + 4*q. Let a(k) = -7 + 7 - 7*k - q*k. Determine a(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -35*l - 1. What are the prime factors of i(-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 91. Let n be (2 - 1 - -1)*1. Solve -d*t - n*o = -16, 3*t - 3*o = -0 - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55\/3, -2.6, 2\/395, 5 in increasing order.\nAnswer: -2.6, 2\/395, 5, 55\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldl when three letters picked without replacement from lldlllllllllldllllll.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3424\/160 + 14\/(-10) + 1. Suppose -t = -2*v + 51. Let k be -15*((-1)\/(-4) - (-51)\/v). Which is smaller: -26 or k?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583254*c - 291625*c - 291631*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 57673 = -4*v + 7*m, -5*m = -v + 14413. Does 178 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times -0.3\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - 4.5. Let m = -7.0041 - q. Round m to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 482.46 decades?\nAnswer: 57895.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -119*p**2 - 51. Let h(q) be the first derivative of -4*q**3 - 5*q + 331. What is 5*a(i) - 51*h(i)?\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 1 + 3, 5*f - 5*a = 0. Let s = 115 - 108. Let d = 4 + -3. Solve d = -f*v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537025 is divided by 95.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 478, 483, 498, 529, 582, 663?\n\"Answer: l**3 - l**2 + l + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*i**3*j**3 + i**2*j**3 + 31*i*j**3 wrt i?\nAnswer: 498*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.14, -0.03, 6?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*q = -337, 2*j + 10*q = 6*q + 132. Solve -x + j = 66 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2. Suppose 0 = 5*z + v - 80 - 40, 5*z + 4*v = 105. Let c(b) = -17*b - 15*b + z*b. What is c(m(i))?\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 6*n**2 - 5*n + 3. Let i be (15\/6)\/(4\/(-8)). Let z be j(i). Suppose z = v, 0 = f + 3*f - 5*v - 117. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 2082080?\nAnswer: 2082080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 658 divide 932542409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/81)\/(2\/(-12)). What is the second biggest value in k, -0.5, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 63, 98, 169, 288, 467?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-1 - 39\/(-3)). Let z = f - 15. Factor 2\/9*l**2 + 4\/9*l + z.\nAnswer: 2*l*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/30 - z**2. Let k(q) be the first derivative of 19*q**2\/2 + 522. Determine y(k(h)).\nAnswer: -722*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {s: 3, l: 5, x: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/20 + x**4\/6 + x**3\/2 + 2*x**2 - 2*x. Let d(l) = -l**3 + 2*l - 3. Let o be d(0). Calculate i(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 755136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 4, 3*g + 29*i - 68*i - 3 = -41*i - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10104322.16 to the nearest 100000.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 6*sqrt(171)*2)\/((sqrt(180)\/sqrt(4))\/sqrt(5)).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -3519*s + 3515*s + 47, 147 = 4*n + 27*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*g - 2 = -19, 2*c - 5*g + 13 = 0. Let u = c - -7. Solve 4 = -n, -u*r + 8*r = 3*n + 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*g*j - 128500694*g + 1533207*j - 1 wrt j.\nAnswer: 43*g + 1533207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/35 + (-140)\/(-175)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 - z**3 - 1 - z + z + z. Suppose -5*f - 362 = -4*a - 379, 0 = -4*a - 3*f - 9. Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-131*t - 78*t - 236*t)*(13*t - 16*t + 9*t) to the form z*t**2 + s + j*t and give z.\nAnswer: -2670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/28*-2)\/1.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 211?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2. Let l(m) = 1. Let i(w) = w - 5. Let c(g) = i(g) + 5*l(g). Give c(j(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -11*s**5\/60 + s**4\/4 + s**3\/2 - 2*s**2. Let a(g) = 6*g**2 - 3*g - 2. Calculate 7*a(h) + 4*n(h).\nAnswer: -2*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684 and 3024306?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -197 (base 11) to base 10\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 517?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z + 28. Let v = -212 - -208. Give i(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 71. Let d(h) be the first derivative of -17*h**3\/3 - 1860. Determine d(r(i)).\nAnswer: -17*i**2 - 2414*i - 85697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.436452 millilitres?\nAnswer: 0.004436452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.5 - 10.5. Let t = 4.6 - 4.22. Let r = t + 0.02. What is the closest to w in r, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-10 - -1 - (9 + -7))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -547064 - -3?\nAnswer: -547061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75304 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a5a + -489?\nAnswer: 2591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b + 11. Let f be (-3)\/((-44)\/48 - (-20)\/12). What is t(f)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -47*n + 1. Let x(c) = 60*c. Give o(x(j)).\nAnswer: -2820*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 41*h + 376 - 3*h**2 - 370 - h**2. Let x(d) = -d**2 - 1. Let q(w) = -g(w) - 6*x(w). Find the second derivative of q(u) wrt u.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 237. Give i(46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165*o*v**3 + o*v**2 + 216*o*v - 2*o + 1344*v**2*x - 2355*v*x wrt v.\nAnswer: 990*o*v + 2*o + 2688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08559 and -11705949217.\nAnswer: -11705949217.08559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 70 = -7*f. Suppose 2*p = -6, 4*p - f = -3*g + 1. Suppose -2*x + 4 + 0 = b, 6 = 3*x + 3*b. Solve x*k + g = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 100 = 5*h, 2*t - 12 = -4*h + 68. Calculate the smallest common multiple of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 284 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 0, -5*o = w + 30 - 110. Let p(a) = a**3 - 8*a**2 - 9*a + 6. Calculate the lowest common multiple of p(9) and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154005780 divided by 5?\nAnswer: 30801156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -17. Suppose -5*k - q - 222 = c, 2*q - 121 + 37 = 2*k. Let z = k + 58. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52299 at most 52229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -377a?\nAnswer: 3779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -24*y + 29*y. What are the prime factors of 63\/(-2)*(y - 9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254705295?\nAnswer: 3, 5, 13, 1306181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/3)\/l*l\/(l*l**18*l*l)*(l**(-18)\/l)\/(l\/l**(4\/5)) assuming l is positive.\nAnswer: l**(-623\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6911+-3830.92041\nAnswer: 3080.07959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:00 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:21 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 58, 5, -42, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.447 + -0.073. Let i = a + 1.12. What is the second biggest value in i, 23, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (5 + -14 - -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**5)**(-1\/12) assuming o is positive.\nAnswer: o**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -144 + 22*h - 1\/2*h**2 = 0.\nAnswer: 8, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 14*y**2 + 12*y - 15. Let t be c(-15). Suppose 42*z = 40*z + t. Let a = -330 - -508. What is the remainder when a is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -387*m**2 + 4*m - 17. Let c(k) = 193*k**2 - 2*k + 7. Calculate 5*c(n) + 2*q(n).\nAnswer: 191*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -376250*l**3 + l**2 + l - 6. Let u be p(2). What is u rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 l when four letters picked without replacement from uuxllggogaoa?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(1\/6)*b*b*b)\/(b*b**0*b) assuming b is positive.\nAnswer: b**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*v - 649 + 649)*(0 - 5 + 3).\nAnswer: 666*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h**2 + 12*h + 9. Suppose -4*v = -3*v + 17. Let z(r) = -5*r**2 - 4*r - 3. Let i(g) = v*z(g) - 6*f(g). What is i(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/13 (b) 17 (c) -25 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.73 + -0.27. Let p = 62 + s. What is the nearest to 0.1 in -0.4, 3, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w**2 - 9*w - 4. Let l(n) = 11*n**2 - 2 + 4 - 38*n + 4 + 52*n. Let f(u) = -5*l(u) - 7*o(u). Determine f(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46a2 + -2b4?\nAnswer: 43cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245958 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*j + 25 = -6*z, 25 = -4*z - 5*j. Suppose z = -17*y + 16*y + 2. Solve -y*p + 3*s - 30 = -5*p, -s = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 340a18 - -15?\nAnswer: 340a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**9)\/s**(-1))\/(s*s\/s**0*s)**(-17\/4))\/((s\/s**7*s*s**(5\/2))\/((s**(-1\/3)\/s)\/s**(1\/5))) assuming s is positive.\nAnswer: s**(463\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 718193 and 2303.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40656255 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -c77c?\nAnswer: c77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 + 2*t**2 - 1. Let u be a(-1). Let k(p) = p. Let q(g) = -5*g. Calculate u*k(l) + q(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162 + -163 - -4)*(-12)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/5 (b) -2\/645 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110001011011110010100 (base 2) to base 4.\nAnswer: -32023132110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73966083 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6047811 or -6047808?\nAnswer: -6047808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -5, -339, -1.\nAnswer: -339, -5, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776\/(-194)*(-1 + 6870\/(-8)).\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41681.87um to nanometers.\nAnswer: 41681870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 754359 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 5*d + 3*j, 4*j - 22 + 92 = -2*d. Round d to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 - 90*w**3 - 1 + 64*w**3 - 265*w**3 to h*w**3 + v + i*w**2 + y*w and give h.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 11220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 870952\nAnswer: -348380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6291 is divided by 3127?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 15*s + 13*s - 21 - 83*s**2.\nAnswer: -83*s**2 + 22*s - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspoiij. Give prob of sequence ps.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/66853719 and -38\/15.\nAnswer: 334268595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**2 - 4*k + 4*k)*(2*k + 2 - 2)*(1 - 5 - 6).\nAnswer: 160*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/7)\/8 + (-3)\/(-4). Which is the nearest to -2? (a) -2\/9 (b) -0.1 (c) 26 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -203\/6 - -34. Let p = 17609 + -17605. Let n = 4 + -4.4. Sort p, -1\/6, b, n.\nAnswer: n, -1\/6, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*i**2 - 362*i - 104*i + i**2 - 127*i + i**2 wrt i.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 29*w + 645\/2.\nAnswer: (w + 15)*(w + 43)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) -15 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 3)*1 - sqrt(832) - -4*sqrt(832)*-1)**2.\nAnswer: -192*sqrt(13) + 13321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/9 - 316*f\/3 - 950\/9 = 0.\nAnswer: -1, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/30? (a) -6 (b) -3\/4 (c) -235 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-2)\/12). Let b(m) = 3*m + 2 - 3 + 2*m. Give b(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p + 3*p - 6*p**2 + 3 - 4*p**3 + 3*p**3 + 0. Let w be u(-4). Let b = 23 + w. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 11 + -20 - 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163450032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -16*f - 177. Let p be q(-11). Let v(s) = -5*s**2 + 2*s + 1. Give v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 8 (c) 5\/2 (d) -2\/7 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 10*k + 4. Let s(u) = 2*u**3 - 3*u**2 + 3*u + 0*u + 5 - 3*u**k - u**2. Calculate the remainder when s(4) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 5)*(-64 + 64 - 4*b + (-5 + 2 - 4)*(2*b + 0*b + 0*b) + (-4*b + 6*b - b)*(-1 - 2 + 1)).\nAnswer: 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 653643 by 383.\nAnswer: 653643\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4 + 25023*h**3 - 58917804*h**2 + 27098449872*h + 109338086592 = 0?\nAnswer: -4, 609, 3868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = 0, 4*z - 4 - 13 = a. Let w be (94\/a - 3) + 4\/6. Suppose -11*y = -12*y + w. Does 29 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*l*q**2 - 7*l*q - 124566*l - 145*q**3 wrt q.\nAnswer: 20*l*q - 7*l - 435*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1180 = l - s, -4*l = s - 935. What are the prime factors of l?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in 0.1, -0.2, 21, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 898\/(-336) - (-6)\/(-21) and 32\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.18 - 0.18. Let w = s - 7.09. Let v = 0.29 + w. What is the closest to v in 0, -3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-2*x**3 + 0*x**3 + x**3 + (-1 + 1 + 2)*(-78*x**3 + 404 - 404) - x**3 + 2*x**3 + 8*x**3).\nAnswer: -296*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/19, -0.5, 0, 0.5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13896, 0, -1\/10, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17466 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 37*a**2 + 2*a + 5. Calculate g(-3).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 27*c - 12. Let u(b) = -b**3 + 4*b**2 + b - 2. Calculate u(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 688 and 1032.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-12) - (-140)\/24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4a44c4 (base 13) to base 5\nAnswer: 423433111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -239. Suppose -k = -h + 865. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 + 2722840*k + 5445696 = 0. Calculate k.\nAnswer: -2, 680712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5\/3 (c) 7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -99927, 0, 2\/5, 1, 0.2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n - 79 + 447 = -157 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-71)\/(-16)*(-48)\/(-84) and 29\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(200))*5)**2.\nAnswer: -5025 - 500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -786, -3155, -7092, -12585, -19622, -28191, -38280, -49877?\nAnswer: -62970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 0)*(-9)\/(-4). Suppose r = 5*p + 26, 8 = -2*r - 5*p - 0*p. Calculate the lowest common multiple of r and (39\/n - -3)*-6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(1 + 0 + 1). Let s = 2 + 4. Let d = c + s. Solve 2*r + 0*h - 2*h + d = 0, -15 = 4*r + 3*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - n**2 - 2. Let v(i) = i**2 - 8*i + 17. Let u be v(5). Let b(o) = -3*o**3 + 3*o**2 + 6. Suppose 0 = -47*w + 366 - 37. Determine u*b(l) + w*k(l).\nAnswer: l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 10*n = -6612. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -201 + 203. Put -2, 5, y in ascending order.\nAnswer: -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 35*x - 41\/2*x**2 - 1\/30*x**5 - 1\/24*x**4 + 0 + 2\/3*x**3. Let i(t) be the first derivative of k(t). What is i(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (9 + -1 - 5)) + (-4 - -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4240263 (base 9) to base 3.\nAnswer: -11021100022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*m + 2*m. Suppose c + 15 = -c + 3*p, 20 = -2*c + m*p. Suppose -4*n + 1950004 = -u - 2*u, c = -3*n + 3. Round u to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 16*b - 20*b + 92136, -5*r + 2*b + 92112 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0 + 0*j + 7\/6*j**3 - 1\/24*j**4 + 3*j**2. List the prime factors of w(-7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 805 + -804.5. Which is the biggest value? (a) 2 (b) h (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4 - 4*t + t**2 + 8*t + 8 + 4*t. Let u be w(-8). Factor 3 + 2*b**3 - b + 6*b**5 - 6*b**2 + u*b**4 - b**4 - 7*b**5.\nAnswer: -(b - 3)*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 2.65254081.\nAnswer: 8.65254081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 43. Solve -d + 11 = 4*c, 12 = 3*c - 0*d - k*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25034, 50010, 74960, 99878, 124758, 149594?\nAnswer: 174380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4 + 73*a**3\/5 - 22*a**2 + 44*a\/5 + 8\/5 = 0. What is a?\nAnswer: -2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 139*j - 1096. Let m be r(8). Calculate the greatest common factor of m and 1108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 517946953982?\nAnswer: -517946953984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3497\/1540 - 8\/385. Which is the third smallest value? (a) h (b) 0.1 (c) 1\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -7, -3, 3 in ascending order.\nAnswer: -7, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/184, 4, -1\/6 in descending order.\nAnswer: 4, -1\/184, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 52 = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 3277 + 3*y**2 + 3275 - 6559 + 2*y**2.\nAnswer: -5*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23490 and 23838?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/60 - t**4\/6 - t**3 - 39*t**2. List the prime factors of n(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 338 - 721 = -v, 5*m = -4*v + 4236. Let u = 700 + v. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**2*g + 54*a**2 + 12*a*d**3*g + 2*a*d**3 + 1 wrt g.\nAnswer: 6*a**2 + 12*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 + 2\/3*k**4 - 19*k + 1\/20*k**5 + 7\/6*k**3 + 7\/2*k**2. Calculate the remainder when 183 is divided by y(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 8*v + 2. Suppose -20 = -5*u - 5*p, 34 = 3*u + u - 2*p. Let d be n(u). Let l = 8 + d. Solve l*j - 2*j = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzzzppppzpzp. What is prob of sequence pzzp?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*-37)\/(45\/((-7560)\/42))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p + 6. Suppose -c = -5*l + 202, 4*l = -3*c - 0*c + 154. Let z = -30 + l. What is the units digit of b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363)*1)\/sqrt(11))\/(sqrt(11) - (sqrt(11) + 2*sqrt(275)))*-3)**2.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21613105 + -33?\nAnswer: -21613140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 7192 in decreasing order.\nAnswer: 7192, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6100*k**3 + 36*k**2 + 2. Let t(n) = -3051*n**3 - 16*n**2 - 1. Give -4*b(x) - 9*t(x).\nAnswer: 3059*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - 3) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a century in months?\nAnswer: 21300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:12 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339315104 and 11883.\nAnswer: 3961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(22\/132)\/((-1)\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96745 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6463 + -6095. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cii when three letters picked without replacement from amaaimaicm?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20806365?\nAnswer: 3, 5, 193, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 - 8*q + 2. Let y(n) = -n**3 - 8*n**2 - 10*n + 20. Let c be y(-6). Let m be w(c). What is the greatest common factor of m and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795222828.\nAnswer: 2, 3, 22089523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 7, c: 10}. What is prob of sequence cdcf?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 10*h - 32*h. Let n be (-4 - -5) + 2 - h. Let v(x) = -4*x. Let q be v(-1). Solve 0 = -u - o - 4*o + 5, 0 = -q*o + n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 45*n**2 + 1541*n\/2 + 2730.\nAnswer: (n - 65)*(n - 28)*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(16\/(-12) - -2). Suppose -10 = b*k - 0. Let g(j) = j**3 + 6*j**2 - 2*j. Is 6 a factor of g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/198 - (-417)\/231)*7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -21*v**3 + 15*v**2 - 15*v. Let s(q) = -11*q**3 + 8*q**2 - 8*q. Calculate -6*a(r) + 11*s(r).\nAnswer: 5*r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -843. Is 72 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 36, -2\/9, 0.1 in descending order.\nAnswer: 36, 0.1, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + m - 4*h + 17 = 0, 7 = m + 4*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -39*q**2 + 887*q + 911. Calculate c(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - 2\/(4\/(-25)). Solve p - x = -5*a + 2*a, 2*a - 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*h + 86 + 58 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(76) - sqrt(76))**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22222150 (base 7) in base 2?\nAnswer: -111010101001000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -14*x + 9*x. Let k = x + 16. Let o = k + -6. Calculate the greatest common divisor of o and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 28888?\nAnswer: -28888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Let a be -27 + 93 + 2\/(-1). Suppose 4*c = h*c + a. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) 256\/19 (c) 2\/37 (d) -17 (e) 4 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-1285)\/70*2\/1. Let o = n - 34. Let p = 4.7 - 4.9. Which is the nearest to 2\/7? (a) p (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)*o*o*o*o*o**10*o*o)\/(o**(-3\/8)\/(o**(-2\/3)\/o)))**(1\/70) assuming o is positive.\nAnswer: o**(1717\/8400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gps when three letters picked without replacement from {g: 5, s: 7, y: 1, p: 1, l: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2776, -4, 16041 in descending order.\nAnswer: 16041, 2776, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276037 - 31*n**3 + 276035 + 126*n**3.\nAnswer: 95*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-39) + -19 + 6299874\/328510 and -89\/45.\nAnswer: 16245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.9 + 14.9. What is the third biggest value in 9\/4, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(0 + -8) + -2. What is the second derivative of -2*a - i - 3*a**2 + 6 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, -107738, -2.1, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -538053900 rounded to the nearest 1000000?\nAnswer: -538000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d - 16. Suppose 35 - 176 = -d*b. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20176.301 rounded to the nearest 100?\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 36*j - 96.\nAnswer: -3*(j + 4)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r - 203. Let a be u(26). Solve 3*h + 4*z + 7 = 2*z, -a*h - 14 = z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 12838 = 10*u + 238. What is the smallest common multiple of 45 and u?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145942 or -1224?\nAnswer: 145942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-4*6\/60)\/(6\/65))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - 2*u**2 + 2. Let s(y) = -30*y**3 + 21*y**2 - 21. Let i be 66\/(-22) - -1*45. What is i*d(r) + 4*s(r)?\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/48 and -61\/30462.\nAnswer: 243696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 306296718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7641398 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0484 + 2.9516. Which is the nearest to -2\/11? (a) 3\/7 (b) 21 (c) -0.2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and (180\/54)\/(5\/1620)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**3 + 12*z**2 + 52*z - 261. What is the hundreds digit of l(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1443, 14145, 48973, 116991, 229263, 396853, 630825, 942243?\n\"Answer: 1844*a**3 - a**2 - 203*a - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 162 - 186 = 0. Let u(r) = 86*r + 3 - 7 - l*r. Let n be u(-6). Which is the nearest to -1\/4? (a) 0.4 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {k: 1, u: 3, p: 1, v: 3, d: 2, n: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 1)*(-9*n - 35 + 35) + (-2*n - 2*n + 5*n)*(-3 + 0 + 2))*(n**2 - 4*n**2 + 2*n**2).\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -16 - -3) + -3. Let d = -24 + t. What is the units digit of (0 + (-6)\/d)*60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.2, -8, 14\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-308)\/70 + 2\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 82*o**2 + 114603*o - 114607. Determine w(1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcybfqa. What is prob of sequence byfc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 - 184590*f - 5719407 = 0. Calculate f.\nAnswer: -61499, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 169. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = -4*l + 543. What is the highest common divisor of 1378 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 t when three letters picked without replacement from vvwvvwttvvvvvvv.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111, 210, 295, 360, 399, 406, 375?\n\"Answer: -j**3 - j**2 + 109*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -f - 2*f + 9 = 0. Suppose 0 = 5*p - u - 21, -p - 12 = -5*u + f. Solve -s*v + v = p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2068 and 931427717.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 25. Let k be r(-4). Suppose -5*h + 902 = -4*s, -k*h + 2*s + 906 = 2*h. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/54 - 4)*(-4896)\/1088?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76183569?\nAnswer: 3, 7, 11, 47, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23920 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 76\/5 of a millisecond?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)\/x)\/x**3*(x\/(x*x**1))**21)\/((x**(1\/4))**46)**29 assuming x is positive.\nAnswer: x**(-2147\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4946148244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (3 - 13 - -2 - (-219 - -216))) + 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 7543.\nAnswer: 7556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 - 114*b - 33. Let a be m(-18). Let q = a + 194. List the prime factors of q.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8.3. Let r(f) = -f - 1. Suppose 7 = -5*u - 18. Let z be r(u). Which is the third biggest value? (a) -0.5 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(62 + (-37752)\/616)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 6*c - 144 = 0. Suppose 9*l - c = -0*l. Let w(s) = -s**2 + 4. Let i be w(0). Solve l = -i*b + 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7937498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2697109 to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + 1 + (-1 - -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -10\/97, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7410 divided by -190\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = p - 6*o + 48, -7*o = 8*p - 11*p - 211 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -4*t - 0*t + 98, 3*t = 298172*r - 298229*r + 1497 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 - k. Let c(h) = h**4 + 8*h**3 - 81*h**2 - 592*h - 644. Let z(d) = -c(d) + 12*t(d). Suppose z(y) = 0. Calculate y.\nAnswer: -23, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 386 + -381. Solve -5*g + 2*g = -3*t + 15, t + 4*g + h = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 4 - (-1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:16 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 0 + 0 + (-272 - 193 + 825)*(q - 4*q - 13 + 17) to the form t*q + r and give r.\nAnswer: 1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1358 (b) -0.1 (c) -2\/15 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*n - 1348 = 0, -5*n - 12 = 2*o - 701. Let u = -329 + o. Solve -3*i = -2*h - 5, u*h = -12 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 91000000 = -2*i. What is i rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -2405*q**8\/336 + 223*q**5\/15 + 3561*q**2. What is the third derivative of j(w) wrt w?\nAnswer: -144300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/8*((-1)\/6)\/(-1)*(-2336)\/292?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.5101ml in litres?\nAnswer: 0.6835101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9204983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**4\/24 - 8*s**3\/3 - 21*s**2. Let t be w(-19). Solve -6*q - 1 = -t*b - 4*q, 2*b + 1 = 3*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8 + 11)*(1 + 1 - 4)*(-6*h**2 + 6*h**2 + 6*h**3).\nAnswer: -144*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*w + 92 + 511 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 11*m**2 + 93*m - 548. What is p(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 3. Let j = 20 - v. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tii when three letters picked without replacement from wtwwtwwwwiwiwttw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (3 + -6 - (10 + -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 905647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 16626?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 - 15*m - 11. Let c be n(-7). What is the units digit of (-1 + 2 - (1 + -1)) + c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l + 19033 + 2143 + 6264 = 0. What is the greatest common factor of l and 840?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 3\/4*n**4 - 1\/6*n**6 + 0*n**2 + 0*n**5 + 0*n**3 + 0 + 3*n. What is the third derivative of p(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -41*y**4\/6 + 85*y**3\/6 + 15*y**2 + 3. What is the tens digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/10, -11850, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**5 + 9\/40*y**6 + 0 + 0*y**3 - 29*y**2 - 29\/24*y**4 + 0*y. Find the second derivative of u(v) wrt v.\nAnswer: 162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4556, -9104, -13652, -18200, -22748, -27296?\nAnswer: -31844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 4*u - 3. Suppose -5*w + 2*j + 25 = 0, 4 + 1 = w + 4*j. Suppose -2*x - 3*m = -4*m + 74, 3*x + 111 = w*m. Let a = x + 31. Calculate s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226 + -221. Let h(w) = w**3 - 6*w**2 + 6*w - 3. Let u be h(n). Solve -2 = t - 2*a - 4, -2*t + u*a = -6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 122.\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 2. Let s be x(-8). Suppose -5*l + 38 = 3*h, 27 = 4*l - 3*h - 25. Let q be ((-32)\/(-20) + -1)*l. Solve -3*f - q = s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 6*j - 405*j**2 - 4*j - 18*j**2 + 18 - 471*j**2.\nAnswer: -894*j**2 + 2*j + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + 0 - (-11 - -10) - 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*r + 115*r = s + 15, -11 = -3*s - r. What is the second smallest value in 2, -3\/137, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-6279)\/(-2548)*7\/3*(-6)\/21.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 2. Give f(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53594 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/606 and 51\/29282122.\nAnswer: 87846366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 18 + 63. What is the greatest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4613265143.\nAnswer: 4759, 969377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10910 + 229064\/21. Let y = -20\/7 - s. Which is smaller: y or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2567249413.\nAnswer: 2567249413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -39, -804, -0.1, -16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1406, 1513, 1618, 1721, 1822?\n\"Answer: -l**2 + 110*l + 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 6. Let l be n(-7). Solve -x = -3*u + x + l, -3*x - 7 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01312738237 rounded to six dps?\nAnswer: -0.013127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-24 - (-4 - 9))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/(60\/90).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + 4*l)*(19 - 51 - 30 + 6 - 4 - 1 + (6 - 3 - 2)*(0 + 1 + 1)).\nAnswer: -295*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85508516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 232*x**3 + 7244*x**2 - 71400*x + 64386.\nAnswer: 2*(x - 73)*(x - 21)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3677799*y - 7. Let m be i(-3). Let v = -6113390 + m. Round v to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**2*q*w + 15*o**2*q + 3*o**2*w**2 - 2*o**2 + o*q*w**3 - 37*o*w**3 wrt q?\nAnswer: -2*o**2*w + 15*o**2 + o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*c*u**2*v - 5*c*u**2 - 6*c*u*v - 3*c*u wrt v?\nAnswer: 14*c*u**2 - 6*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 4\/17, -19, -26, -12, 1\/3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/(v*v\/(v\/v**(-2)))*((v\/(v**2\/v)*v)\/v)\/((v*v*v**1*v)\/v))\/(v**(-5\/2)\/v**(-35)) assuming v is positive.\nAnswer: v**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1393 or 330?\nAnswer: -1393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14681.35 + 14394. What is w rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -2) + (-3 - (-27 + 34)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 12. Calculate the common denominator of 10\/11 and (a*2)\/((-24)\/15).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265254722 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 1 + 13 - 936496*z.\nAnswer: -936496*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 65 + -15 + -28.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjf when three letters picked without replacement from {b: 4, v: 6, a: 1, f: 1, j: 2, r: 4}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (0 - 1 - -3). Suppose 4*s + s = 10. Suppose s = i*m - 2. Solve -m*c - 3 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f**3 - 4*f**2 - f**2 + 5*f**2 - 54*f**3.\nAnswer: -127*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.6 + -0.6. Let g = h - 9. Which is the closest to g? (a) 1 (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o + 1. Suppose -w - 43 = -4*m + 2*w, 3*m = -4*w + 1. Let g(d) = 11*d - m*d + 6 - 5*d. Let c(s) = s - 1. What is o*g(x) - 3*c(x)?\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -177\/4. Let q = -10999.8 + 11000. What is the nearest to 2 in q, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.6 + -8.5905. What is b rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**6\/80 - 5*f**4\/12 + 4*f. Let g(h) be the third derivative of a(h). Let q(m) = m. Determine q(g(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 3*i + 0*i - 2 + i. Let y(z) = -z - 4. Let m be y(-7). Let k(o) = 2*o - 5*o**m - 4 - 2*o + 6*o**3 - 3*o. What is 3*k(h) - 5*s(h)?\nAnswer: -2*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/13))**(20\/13)\/(k**(1\/5)*k)**(2\/33) assuming k is positive.\nAnswer: k**(-1776\/9295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57885.\nAnswer: 3, 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**5 - 5*u**5 + 32*u**5 + (-2*u + 1 + 0*u + 1)*(2*u**3 - 2*u**3 + 4*u**4).\nAnswer: 24*u**5 + 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 882 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 16 = 5*j - 2*v, -2*v = 3*j - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/13)\/(r**(2\/9)\/r)*(r**(-1)*r)**(-9)*((r\/(r**7*r))\/((r*r**2)\/r*r))\/(r*r\/r**1)**42 assuming r is positive.\nAnswer: r**(-6011\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 494, 455, 428, 419, 434?\n\"Answer: s**3 - 46*s + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101896628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(-40211169)\/(-3) - -1. Suppose f = -3, -2*y + f - i = -y. Let t = 59211173 + y. Round t to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**37\/r)**(-33))**(-27) assuming r is positive.\nAnswer: r**32076","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86106, -86121, -86136, -86151, -86166?\nAnswer: -86181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23068 or 23069?\nAnswer: 23068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086282583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -339382, -339385, -339388, -339391, -339394?\n\"Answer: -3*r - 339379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -422\/313?\nAnswer: -422\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363579.\nAnswer: 7, 131, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11216, -10794, -10372?\n\"Answer: 422*f - 11638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2833 - 2831. Let d(p) be the second derivative of 19*p - 7*p**y + 0 + 13\/3*p**3. What is the derivative of d(o) wrt o?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 13202.\nAnswer: 52808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0, 0.3, 2\/9, 16, 376\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/492 and 51\/7462.\nAnswer: 44772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2810496, 2810498, 2810500, 2810502, 2810504, 2810506?\nAnswer: 2810508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 22 = -0*s - 2*z, -20 = -2*s - 4*z. Find the second derivative of 0*f**s + f + 0*f - 4*f + 3*f**4 wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 775200 to the nearest ten thousand.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/((-15)\/(2205\/(-28)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -486, -536, -618, -732, -878?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + t - 1. Let j be z(1). Let x = -27 + 15. Let b be 6\/4*16\/x. Is b not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50770*j**4 + 860*j - 3737859?\nAnswer: -203080*j**3 + 860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4 = -14676*u + 14671*u, 0 = 2*u - 3*y - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/6 - 14*f**3\/3 - 8*f**2. Let r be m(8). Let s be r\/28*12\/(-6). Which is the third biggest value? (a) s (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c836 + 4488?\nAnswer: 23cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + -8 + 10 - (183 - 96).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139*0.633457.\nAnswer: 88.050523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 18.2.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 6843.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 5*b**2 - b + 1. Let n(m) = 3*m**3 - 6*m**2 - 2*m + 2. Let k(i) = 3*n(i) - 4*z(i). Let a be (-9 - -1)\/(1 + -2). Let c = a + -11. Give k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(54)\/sqrt(6) + sqrt(9))*-6).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.9 (b) 16 (c) -4 (d) -2.7 (e) -0.3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/61 + 82\/183. Let o(x) be the second derivative of 0 - y*x**3 - 3*x + 0*x**2. Let q(a) = -5*a. Give q(o(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -46. Suppose 3*m + t*m + 365 = 0. What is the remainder when 108 is divided by ((-43)\/86)\/(m\/(-74) - 1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = -2*n + 12, -5*u = -n. Suppose 2*z = 2*x + u - 7, -2*z - 8 = 0. Is 68 - 4\/4*x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let x = -2.92 + q. Let j = -5.08 + x. What is the biggest value in 0.5, j, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37364168 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1823, -3646, -5469, -7292, -9115, -10938?\nAnswer: -12761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*l*m*t*z**2 - 2*l*t*z**2 - l*z**3 - 3*m*t*z + 4*m*z**3 - 274*t*z**3 wrt z?\nAnswer: -6*l + 24*m - 1644*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, -6, -8, -1\/3, -2\/7, 7, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.63 + 0.03. Let w = -37.4 - -36.94. Let j = w - q. What is j rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044 is divided by 2032.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 72125, 72048, 71937, 71810, 71685, 71580, 71513, 71502?\n\"Answer: 3*d**3 - 35*d**2 + 7*d + 72150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 364 + 1740301?\nAnswer: 1740665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**2 + g**3 + 8*g + 9 + 9 - 13. Let f be v(8). Factor 2\/3*t**f + 0*t**2 + 0*t**3 + 0*t + 2\/3*t**4 + 0.\nAnswer: 2*t**4*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 - 2*d + 3. Let v be j(2). Let f be (-2)\/(-5) + 12\/v. Calculate the remainder when 7 is divided by 578\/153 - f\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-2)\/(-14) - (-48)\/(-42)). Put -7, 2, x in descending order.\nAnswer: x, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -56. Let l = v + -57.7. Put -1, -0.8, l in increasing order.\nAnswer: -1, -0.8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*c - 141*c - 1394 = 0. List the prime factors of c.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/(1\/6). Put -2, -4, r in decreasing order.\nAnswer: r, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-136))\/(2\/8). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5 - 47*m**4 - 751*m**3 - 5201*m**2 - 14800*m - 10304 = 0.\nAnswer: -23, -8, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1736*k**3 + 9*k**3 + k - k.\nAnswer: 1745*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1383 + -351. Let a = v - 970.3. What is a rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 + -208. Suppose d*r - 29 - 62 = 0. Calculate the greatest common divisor of r and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 12 = -12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -66. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(156\/1)*2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*b**2 + 2*b - 2*b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {d: 1, m: 1, g: 2, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 + 82 - 547*m - 170 to t + a*m and give a.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2840 - 1803. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65201 (base 15) in base 11?\nAnswer: -1aa258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 15*r**2 + 2. Let q be t(-15). Solve 29 = 3*o - 2*u - 3*u, 14 = 2*o - q*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539277250?\nAnswer: 2, 5, 2157109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4*k + 7)*(-k**2 + 0*k + 0*k) + 112 + 5*k**3 - 3*k**3 - 145.\nAnswer: 6*k**3 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1472 + 4081. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i**2 - 5*i**3 - 7*i**2 + 2*i**3 + 1 - 16*i + 17*i as l*i**2 + o*i + b*i**3 + q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -4\/3, 5, 3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90396.33 centimeters to nanometers.\nAnswer: 903963300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72755 + 852*t + 268*t - 5798*t**2 + 72755 wrt t?\nAnswer: -11596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3596376 and -137\/1027536.\nAnswer: 7192752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 3. Let b be -2*(-4 + (-18)\/(-4))*-4. Let p be x(b). Let l(w) = 20*w - 21*w - 3 - 5 - p. Give l(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3069913 - 5*h + 3069913 + 12*h**2.\nAnswer: 12*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*h**2 - 52 + 31 - 7 + 26.\nAnswer: 149*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 40\/7, 5.\nAnswer: -2, 5, 40\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 19*a**2 - 5*a - 7. Let f be p(9). Solve 63 = f*c - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d - 2*d**3 - 14*d)*(-3*d**2 + d**2 + d**2) - 2*d**3 - 8*d**5 + 2*d**3 + 14*d**5 + 6*d**5 - 25*d**5.\nAnswer: -11*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 31*a**2. Let u(q) be the third derivative of q**4\/12 + 13*q**2. Give u(z(f)).\nAnswer: 62*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552609.07*4.\nAnswer: -2210436.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(3633\/(-9))*(-4)\/12)\/(1\/(-2)).\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:28 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 783\/153 - (-4)\/(-34). Suppose 0*o = -z*o + 50. What is the highest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 + 6 - (-3 + 10 + 4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8787 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.7, -0.1, -5, 2 in descending order.\nAnswer: 2, -0.1, -5, -12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = -3*m. Suppose -4*w - 8 + 40 = m. Is 3 - (w + -5)*-32 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*d + 16. Let r be (3\/d)\/(69\/230). Find t such that -6\/7*t**5 - r*t**4 + 2\/7*t**2 + 0*t - 2\/7*t**3 + 0 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 749512 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-36))\/(1\/3). Solve -i = -a + 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2574 + 2574)*(2*v - v + 2*v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1660 and 1870.9762.\nAnswer: 3530.9762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777968?\nAnswer: 2, 48623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-23)\/4)\/(2\/8). Let r = j + -33. What are the prime factors of (-4)\/(-18) - (-1814)\/18 - r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 37, 49, 51, 37, 1, -63?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/21 (b) -7\/517 (c) 0.1 (d) -3 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5)\/(j*j**(-2\/9)))\/(j**(2\/17)\/(j**(-2\/11)*j*j)) assuming j is positive.\nAnswer: j**(9448\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.1. Let i = l + 0. Let v = 0.385 - -0.115. Which is the closest to -0.1? (a) v (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = v - 0*v, 0 = -3*c - 9. Let s be v\/4 - 6\/(-8). Suppose -i - 7*x + 3*x = -8, s*i - 2 = -x. What is the second biggest value in -1\/3, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147036705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 538200*p - 3767253.\nAnswer: -3*(p - 179393)*(p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*t - 6*t + 5*t)*(1 - 5 + 2)*((0*t**2 + t**2 + t**2)*(-t + 1 - 1) - t**3 + 0*t**3 + 2*t**3) to n*t + l*t**2 + c*t**4 + s*t**3 + w and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.091\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029042 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from 1057628934.\nAnswer: 1057628934.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*u + 24, 5*u - 2*w + 3*w = -30. Let z = u - -41. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36592430, -36592429, -36592428, -36592427?\nAnswer: -36592426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikki. Give prob of sequence iki.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8505 - -28897. List the prime factors of c.\nAnswer: 2, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 26 + 5 = 0. Suppose -4*c + 755 = -3*v, 3*v = -d*c + 6*v + 567. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/132455 + 7417687\/27418185. Calculate the common denominator of 31\/27 and u.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.43 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12033033 (base 4) to base 16.\nAnswer: -63cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 54\/(-15) - (-3724)\/(-1260). Which is the nearest to 0.1? (a) -0.3 (b) -0.5 (c) y (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8568)\/63*-1*(-2)\/(-8). Suppose -5*b = 2*k - 60, 4*b - l = 2*k - 4. Solve 0 = 3*d + 2*d + b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*i = 3*i - 22, 6689 = -4*v - i + 3345 + 3388 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = -4*p, 0 = -0*p + 4*p. Solve 2*j - 6 = z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r**3 - 3*r)*(-3 - 2 + 3)*((-2 + 3 + 0)*(r - 3 + 3) - 2*r + 3*r - 3*r).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/((-10)\/40)*(-44)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -18, -5 in decreasing order.\nAnswer: -5, -18, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t*t**(-3\/4)*t))\/t**(-2))\/(t**(-3))**7 assuming t is positive.\nAnswer: t**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 386988 and 466662?\nAnswer: 15866508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 612, 600, 584, 570, 564, 572?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -248 divided by -8\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 63.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368716101?\nAnswer: 3, 13, 257, 36787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q. Let t(v) = -11*v**2. What is t(f(r))?\nAnswer: -99*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271\/4 + -68. Let w = 2 - 3. Which is the closest to 0? (a) -2\/3 (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 24, -3, -2\/5, -2, 2\/17?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 - 316*x**3 - 3026*x**2 + 3340*x = 0.\nAnswer: -10, 0, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 + 51*m - 278. Let p(y) = -y**2 + 17*y - 93. Let w(x) = -2*n(x) + 7*p(x). List the prime factors of w(-29).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:43 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-295)\/70 - 10\/35. Is b less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -146, -150, -152, -146, -126, -86, -20, 78?\n\"Answer: l**3 - 5*l**2 + 4*l - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1798 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, -14, -28?\n\"Answer: -14*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/13)*g)\/(g\/g**(-5))*(g**(-2\/3)\/g)**(2\/5))**(-4\/5) assuming g is positive.\nAnswer: g**(704\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-5444)\/(-16))\/1)\/((-7)\/(-28)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2 - -4) + (10 - 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x**3 + 251*x**2 + 30*x + 193. Give j(-18).\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -3. Let m(t) = -t**2 + 10*t. Determine m(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:41 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -223303032 (base 4) to base 5\nAnswer: -21220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -3, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((0 - 1) + -7 - (410 - 408))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110838, 4, 0.2.\nAnswer: -110838, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1231 - 75. Let g = 1983 + m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 110198735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 70, 126, 182, 238?\n\"Answer: 56*y - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - t = 4*t + 35, 3*y - 25 = 4*t. What is the units digit of (174\/4)\/(y\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3194198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1804, 7040, 15710, 27820, 43376, 62384?\nAnswer: 84850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3939 - 7670 = 13*h. Suppose -3*j + 5*v = 1676, 1931 = -3*j + v + 247. Let n = j - h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w + 5*m + 4 = 0, -w - 4*m = 5. Let l be -3 - -4*(-2)\/(-4). Let q = l - -9. What is the lowest common multiple of w and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 11*x - 3. Calculate u(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 + 57 - 33) + 23 + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2474 - 2467. What is the nearest to t in -3, -5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6647*b + 2171*b + 2*b**4 + 4154 + 2035*b + 2034*b wrt b.\nAnswer: 8*b**3 - 407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:02 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25136587097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56626?\nAnswer: 2, 23, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = 0, -3*b + 30 = -2*u + 5*u. Let o = -4 + u. Suppose -5*m + 2*n - 26 = -141, 0 = n + 5. Solve -5*j = -4*h + 1 - m, -3*h = o*j - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-122)\/(-130))*(-30)\/(-36). Let m = -96 - -97. What is the closest to m in p, -1\/4, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 11:51 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.423 + 0.423. Sort -2\/13, -2, m, 1\/2 in descending order.\nAnswer: 1\/2, m, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24645, -24544, -24297, -23832, -23077?\n\"Answer: 12*i**3 + i**2 + 14*i - 24672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18615 and 120.\nAnswer: 148920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t = 186596 + 384499. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 428?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = 4. Let i = -10 + o. Let j = -0.3 - 0.1. Which is the second biggest value? (a) i (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:02 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107687*a - 107687*a + 4*a**2 - 2*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/10*(-15)\/9*594\/8778\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 11*j - 114. What is k(-5)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48428810*g**2*y - 3*g*y + 1225051*y wrt g?\nAnswer: 96857620*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -24*d**2 - 1897*d - 46. Calculate t(-79).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -42. Solve 14 = 5*m - g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104559133*y**5 + 2*y**4 + 24877*y + 4606?\nAnswer: 2091182660*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.34658 + 8.8459. Let a = -0.15 + 3.65. Let j = a - n. Round j to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94 + 2*p**2 - 5*p - p**2 + 11*p - 7*p with respect to p.\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2407603, 2407551, 2407499, 2407447, 2407395?\n\"Answer: -52*y + 2407655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72365\/99 - -731. Let w = -115\/396 + j. Put -0.07, -4, w, -0.4 in ascending order.\nAnswer: -4, -0.4, w, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 35080\nAnswer: 3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97936.05 millilitres to litres.\nAnswer: 97.93605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {v: 8, y: 2, m: 4, q: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195237*b - 195237*b - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/3)\/(i\/(i\/(i*i\/(i**(-4)\/i)*i))))**(-25) assuming i is positive.\nAnswer: i**(700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 22*t**2 - 6028*t - 36118. Determine l(-6).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -7)\/((-3)\/(-2)). Suppose 0 = -y + l + 1 + c, 3*l + 4 = 2*y. What is the smallest value in 2\/9, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 11. Let d = 652 + 389. Suppose -489 - d = -18*n. Calculate the highest common factor of n and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.402583 - 12.\nAnswer: -10.597417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 0 - 2*n + 3 - n**3 - 1 + 4*n**2. Calculate the least common multiple of j(3) and 4\/(((-13)\/39)\/((-1)\/3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {s: 5, p: 4, q: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 15*m - 4. What is w(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q - 2. Let p(j) = -29*j - 9. Let i(n) = -n**3 - 2*n**2 + 11. Let v be i(-5). Let d = 104 - v. Give d*s(k) - 4*p(k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 137251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 0.1 (c) 2 (d) 0.27 (e) 134\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) - (-11 + 13). Let j = 659.023 + -659. What is the biggest value in a, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*l + 5*l = 10, l = -5*b + 2. Suppose -4*j + 12 = -b*j. Suppose -j*z + 85 = -170. Calculate the greatest common factor of 34 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 36*p**2 - 63*p - 170. What is a(34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 46*a**2 + 5*a + 1. Give m(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = i + 691, -869 = -5*n - 4*i. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 3. Let m be (-1)\/(4\/z + 0). Find the third derivative of 0*s**4 - s**2 - s**m + 2*s**2 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20053, -20510, -21269, -22324, -23669, -25298, -27205, -29384?\nAnswer: -31829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11021 (base 5) in base 12?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 11*k**6\/6 - k**4\/12 + 67*k**2\/2 + 2*k + 4. What is the first derivative of t(d) wrt d?\nAnswer: 220*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6243)\/(-27) + 2\/(-9). What is the greatest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8816 and 348.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/7)*k)\/k**(-2\/23)*(k**(-1))**(2\/107)*((k**(-1)*k*k)**(1\/11))**(3\/10) assuming k is positive.\nAnswer: k**(4783111\/1894970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10797568?\nAnswer: 2, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23431770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/30 and -43\/861.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143139565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, 2\/41, 4 in ascending order.\nAnswer: -1, -1\/2, 2\/41, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*816.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 + 235 = 2*z - 239, 4*u - 3*z + z = 2 + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*i**4 - 12041*i**3 + 12041*i**3)*(1 + 0 - 4).\nAnswer: 210*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-28)\/30*(-6)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3 + 493910*c**2 + 1481825*c - 4939250 = 0. Calculate c.\nAnswer: -5, 2, 98785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 18.8. Which is the fourth biggest value? (a) p (b) -0.2 (c) 9 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*n**3 - 2442 + 2442)*((1 - 2*n - 1)*(3 - 3 - 2) - 6*n + 3*n + n - 12*n + n - 12*n - 2*n - 1 + 1).\nAnswer: -667*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)\/(1\/(-3)). Suppose 7*h - 60 = 3. Is (22\/k)\/(2\/h) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20330, 20325, 20322, 20321, 20322, 20325, 20330?\nAnswer: 20337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 50. What is the least common multiple of 12 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**5 + 0*a + 0*a**3 + 0*a**6 - 1\/70*a**7 - 2*a**2 + 0 + 1\/8*a**4. Find the second derivative of g(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -4*r - 108, 4*a = 3*r + 360. What is the remainder when a is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 83999998\/(-5) - ((-24)\/(-10))\/6. What is z rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1182 - -1187) + ((2 - 1) + -18 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let y(j) = 5*j - 3. Let f(d) = 4*d - 2. Let v(m) = -3*f(m) + 2*y(m). Determine v(i(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5397932 is divided by 428?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 71*i**2 - 173*i - 755. What is n(-69)?\nAnswer: 1660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11502, -23002, -34496, -45984, -57466, -68942, -80412?\n\"Answer: 3*i**2 - 11509*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(12\/(-10) + (3341\/(-195) - -18))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from houoi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.0842 months in centuries?\nAnswer: 0.4034035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1000308 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 + 5921808*i**3 + 23687196*i**2 + 23687184*i = 0 for i.\nAnswer: -1973932, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29556325 - 6443.\nAnswer: -6442.70443675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000189964536 to seven decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/22, -2199, -2\/9, -0.5?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjtjkaklkmat. What is prob of sequence mk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p - 326. Let b be s(-19). Let y be -2*(-74)\/24*-1. Let o = y + b. Find the common denominator of o and -143\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13713\/70 + (-3)\/(-30). Calculate the highest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5033623950 to the nearest one hundred thousand.\nAnswer: -5033600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206066 and 46494.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42982 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 5609527 + 5609542 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*t - 730, z - 5*t + 2*t = 235. Let f = -238 + z. Calculate the remainder when 81 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 10182620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1836)\/sqrt(3) + (sqrt(68) + 2)**2.\nAnswer: 14*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 8*b**2 + 21*b + 72. Determine l(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122769960 by 10.\nAnswer: -12276996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7791*r + 986. Let t be s(16). Round t to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 737*f + 15693. Determine n(22).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05081 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.05177*-0.0229\nAnswer: -0.001185533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*(t\/(t*(t*t\/(t*t**(-2\/7)))\/t*t*t))\/t*t**(-5)*t\/((t*t**(1\/2))\/t))**(-13) assuming t is positive.\nAnswer: t**(871\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -19*d + 1. Let a(v) = 16*v - 1. Let l(w) = 6*a(w) + 5*r(w). Let q(g) = g. Let o be q(-4). Let j be ((-2)\/(-5))\/(o\/40). Give l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186682, -186683, -186684?\nAnswer: -186685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-2700)\/1 - (-2)\/1. Let d be z\/(-6) + 4\/24. Suppose -4*x = -7*x + d. What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -390.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/1)\/(17\/(-2)) + -9?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2. Let q(d) = -d**2. Let g(z) = i(z) - 2*q(z). Suppose 4*k + 4*a - 14 = 2*k, 5*a - 13 = -2*k. Let h(w) = -9 + 3 + k*w + 6. Determine h(g(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2340 (base 16) to base 14\nAnswer: -3408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 12 + 3*h**2 + 4*h**2 + 27*h.\nAnswer: 2*h**2 + 27*h - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 52*m + 34. Let w be k(22). Let g = w - 341. Calculate the greatest common factor of g and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 13*u**2 - 6*u + 3. Let q(n) = n - 107*n**2 + n**3 - n**3 + n**3 + 108*n**2. Let g(x) = h(x) - 3*q(x). Is g(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4 - 1532*w**3 - 142040*w**2 + 5694000*w = 0.\nAnswer: -650, -146, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3 - 7 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 2*t + 2*t - 4*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -822.897 - -167178\nAnswer: 166355.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 15808?\nAnswer: 15803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4) + 26\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*g - 4*q + 10, 15 = -3*g + 3*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 25*d + 3. Let b(x) = -4*x - 21. Let h be b(-6). Let f be m(h). Suppose -q + 32 = 2*o - 3*q, 3*q = -3*o + f. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100221 + -1?\nAnswer: 11100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -42. Suppose 11*g - w*g = -48. Solve -v + 4 = -4*b + 5, 3*v = 5*b + g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 3. Let j(a) be the third derivative of -a**4\/12 + 7*a**3\/6 + 14*a**2 + 6. Let d be (-60)\/(-24) - (-1)\/(-2). Determine d*j(v) - 5*t(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - c + 15 = 0, 0 = 3*p + 2*c + 4 + 29. Let d = -13 - p. Let y(l) = -7*l + 11. Let x(w) = 3*w - 5. What is d*y(b) - 9*x(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8673140893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 4 in descending order.\nAnswer: 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i - 35. Let z be q(-4). Suppose 0*b = -5*b + z, -5*d = 5*b - 6140. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-36)*4*(-1)\/(-5)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 6. Let b(c) = -12*c. Give b(j(m)).\nAnswer: -24*m + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 183 + 99. Suppose 90*x**2 + 2*x**4 - a*x**2 + 2*x**4 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 64855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227951 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 666*f + 6665. Let o be u(-10). Solve 0 = 4*x + o*p + 21, -5*x - 108*p + 105*p - 23 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16523, -65909, -148165, -263297, -411311, -592213, -806009?\n\"Answer: -k**3 - 16429*k**2 - 92*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 + 957*s**2 + 71832*s - 726192 = 0. Calculate s.\nAnswer: -164, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1144 - -1703. Let x = -559.5 + n. Sort -0.1, x, 1, 0.5.\nAnswer: x, -0.1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 - 2*x + 6. Let d be u(5). Let v = d + 7. Differentiate 2 - v - 1 + 3*c - 2*c with respect to c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let i be x\/(-12) + (-2)\/12. What is the units digit of (-12)\/(-4) - (i - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -34. Suppose -5*k - 100 = -k. Let c = z - k. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 23 = 4*j, -3*j + 6*j = 4*q + 19. Suppose 3*r - 6 = 0, -5*a = 11*r - 10*r + 943. Is q\/(-2) + a\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 + 5*u + 5. Let w(p) = p**2 - p - 1. Let s(y) = k(y) + 6*w(y). Let o(i) = i**3 - 8*i - 5. Let x(f) = o(f) - 2*s(f). Calculate x(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136420 by 4.\nAnswer: -34105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 1. Determine w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, -1\/6, -5, 0 in ascending order.\nAnswer: -5, -1, -1\/6, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630771231 divided by -3?\nAnswer: -210257077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254405 + -254612.062. Let s = x + 0.062. Let u = s + 206.897. Round u to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -4*i - 30, -4*i = -q + 15 + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - 2*y**4 + y**4)*(8*y - 3*y + 0*y)*(-3 - 1 + 2)*(5 - 4 - 2).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.6 - 8.6161. Round y to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25900?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*g + 16*g + 2 - 10*g + 2*g - 7*g + 3*g + (2*g - 3 + 3)*(2 + 3 - 7).\nAnswer: 25*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*r = -9 - 25, 5*g + 2*r - 153 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5932*(1\/1 - 9\/18). Suppose -5*y - d = -2*p, -6*y - 1483 = -p - y. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {n: 3, v: 4, f: 2, s: 2, b: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -54. Solve -r - 2*r - 2*j = k, 0 = -r + 4*j + 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0) + (0 - -2). Suppose k*u = -0*u + 160. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2692295216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 41*q + 16. Let z be n(-41). Let b(y) = -y**3 + 20*y**2 - 40*y + 28. What is the hundreds digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 0, -5, 3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from tllllttllltt.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(1*sqrt(11)) - 1*sqrt(68)\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-22\/9)*n))**(-20) assuming n is positive.\nAnswer: n**(-440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 0*d + 45*d.\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let x(s) = -9 - 5 + 1802*s**2 - 1835*s**2. Give x(r(k)).\nAnswer: -132*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1044 and 113\/1697016?\nAnswer: 147640392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -1, 110 in decreasing order.\nAnswer: 110, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9 - 1. Let w be (27\/45)\/(2\/(-30)). Let a be ((-10)\/15)\/(6\/w). What is the nearest to j in a, -1, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -326944480 to the nearest one million.\nAnswer: -327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/3, -5, 1\/4, 4 in decreasing order.\nAnswer: 4, 2\/3, 1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 0*c**3 - c**4)*(2*c - 2*c + c) - 2*c**5 - c**5 + 4*c**5 - 3*c**3 + (17 - 17 + 3*c)*(-3*c**4 + 2*c**2 - 2*c**2).\nAnswer: -9*c**5 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -514*o + 5181. What is z(10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 45 = 3*x. Let q be -2 + 1*x\/3. Let i = q + 16. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29\/4 in -0.1, 2\/3, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3247550 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoaoeoaopoahehcoho. What is prob of sequence eh?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = t - 4*o, -5*t - 2*o + 0*o = -38. Suppose t*u = 67 - 19. Let a be (u\/(-9) + 1)*6. Solve 3*j + 20 = 8*j - a*p, 3*j + 5*p = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 2\/3, -0.5, -1\/519 in ascending order.\nAnswer: -4, -0.5, -1\/519, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34734607079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6749, -13520, -20291, -27062, -33833?\nAnswer: -40604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283\/9 or 32?\nAnswer: 283\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2271*h**5 + 721*h wrt h?\nAnswer: -45420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9374956 to the nearest integer?\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, -14, -58\/7?\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*3\/2. Which is bigger: b or -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7412015939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose -o = -2*o - 4*y + 39, 2*y = d. Let p = -1 + o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3047480 divided by 152374\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*o + 12*i - 11*i, 5*o + 5*i + 40 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-202*v**2 + 2 - 2 + 73*v**2)*(-9*v - 9*v + 3*v) in the form l*v**2 + j*v**3 + d + f*v and give j.\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.1. Suppose -109 = -3*k - 3*q - 115, q = -3. Which is the second biggest value? (a) -3 (b) k (c) 0.3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17 = -2. Let y be (-3 - 1)*z\/(-12). Let t be (-1 + y + -1)*0. Which is the third biggest value? (a) 3\/8 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3563 - -5217. Is m at least 1654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsr. What is prob of picking 1 r and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*r - 360 = -1456*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60691 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 19202066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (87 + (-28)\/(-4))*1. Which is smaller: d or 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2b25?\nAnswer: 2b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**4*w**2 + 5*f**4 - f**2*w - 3*f*w**2 + 7*f + 3 wrt f.\nAnswer: -72*f**2*w**2 + 60*f**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.19236mm in nanometers?\nAnswer: 66192360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -82. Suppose 4*f + 3*y - 20 = -y, -3*y + 20 = 4*f. Solve -f*o + 5*g = -34 - 6, -v*o = 5*g + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fesesfee. Give prob of picking 3 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 0.6. Let r be (-680)\/102*3\/(-5). Which is the fourth biggest value? (a) r (b) 0 (c) n (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-7\/5)*m)\/m*m**0)\/(m*m**(2\/3)*m)**6 assuming m is positive.\nAnswer: m**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/(-945)*(-20)\/(-32)*(-2)\/5\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/8*16\/(-40))\/(13\/((-455)\/(-21)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 5*b + 9, 70*c + 11 = 72*c - 3*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3150 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 10.9. Let i = 12 + g. Which is the nearest to i? (a) -1\/10 (b) 0.4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 21 + 98 + 17)*(1012 - 1012 + 353*d).\nAnswer: 52950*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 19 + 211*c in the form q*c + w and give q.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.2474 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 6*j)*(0*j + 2*j + 0*j)*(6*j**2 - j**3 - 6*j**2 - 4*j).\nAnswer: -4*j**5 - 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3586, -7498, -11732, -16288?\n\"Answer: -161*p**2 - 3429*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -340, -0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2\/6 + 17. Let a be -1 + (1\/((-24)\/(-428)) - 4). Let d = i - a. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.83 - -36. Let y = 0.17073 - l. What is y rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*q**2 + 210144*q - 96984.\nAnswer: -2*(q - 8082)*(13*q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 4, -0.1, 5, -29\/23, -4 in descending order.\nAnswer: 5, 4, 2\/9, -0.1, -29\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 11*k**2 + 30*k - 19. Let w be z(13). Suppose -t + 48 = w. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 - 639*c - 1453020.\nAnswer: 3*(c - 1220)*(c + 794)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + -3 + 132\/(-22). Suppose -5*x - q + 148942 = r, -x = -q - 9423 - 20369. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 10812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87015, 174027, 261039, 348051, 435063, 522075?\nAnswer: 609087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 24. Suppose 3*k = s - 8. Let u(d) = 5*d**2 - 3*d + 1. Is u(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:51 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21cb + 25?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2) + 1)\/((-140)\/80).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 377? (a) -2 (b) -3\/7 (c) -2\/3 (d) 416\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2400*q**5 + 12552560*q**4 + 49218895778*q**3\/3 - 54182499214*q**2\/3 + 5049089374*q\/3 - 123150818\/3 = 0.\nAnswer: -7847\/3, 1\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 70 = 3*l - 33, -96 = -4*l + 5*x. Let z = -2 + 5. Suppose -c + l = 4*o, -7*c - 5*o + 61 = -z*c. Solve -c = -2*y + 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -537*f + 655*f + 1040*f as b + z*f and give z.\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. Let i be 4\/(-10)*(10 - c). Put i, 4, 3 in decreasing order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 5*sqrt(162)*-4)*-2 + 0 + 2*sqrt(162)*1 + -4)**2.\nAnswer: -1512*sqrt(2) + 285772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48408 * -3.5.\nAnswer: -169428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from nnddznzinizzid?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 9:52 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -317650*4645\nAnswer: -1475484250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 7*l**6\/120 - l**5\/12 + l**2. Find the third derivative of w(x) wrt x.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let y = -569 - -578. Let d(b) = 39*b + 0 + 0 + y*b - 3*b. What is d(k(c))?\nAnswer: 135*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.23 - -0.33. Let m = 1 - 0. Let n = 2 + -2.1. Which is the nearest to o? (a) -4\/7 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 0.421119.\nAnswer: 2.421119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8.47 (b) -4\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**2 - 4*r - 7. Let h(q) = q**2 + q - 1. Let o(f) = g(f) - 2*h(f). Give o(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-351)*(-267)\/(-2047)?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -195\/7, -5, 2\/5 in increasing order.\nAnswer: -195\/7, -19, -5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1944155?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (20 + 936\/(-54))\/(-4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45812\/83875 - 20\/671. Let g = 3\/125 - q. Let z = 2\/195 - -376\/1365. Which is the third biggest value? (a) 4 (b) z (c) -0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76683 and 6.\nAnswer: 153366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011110 - -11000100110100010011?\nAnswer: 11000100111111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 30047771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -33. Calculate the remainder when 38 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 (base 13) in base 12?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = -3*r, -5*g - 10 - 9 = 3*r. What is the third derivative of 18 - 18 + 21*a**r + 14*a**3 wrt a?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(504)*-5 + sqrt(504))\/(sqrt(392)*-1 + sqrt(8) + sqrt(8)))**2 + -3 + -6*(sqrt(6300) + sqrt(6300) + 0).\nAnswer: -360*sqrt(7) + 2193\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-2\/9)*h\/((h\/h**(2\/5))\/h) assuming h is positive.\nAnswer: h**(118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*(-19 - -9). Let p(w) = w**3 + 6*w**2 + 2*w - 1. What is the units digit of p(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131030 (base 4) to base 9\nAnswer: -2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 283838 - 0?\nAnswer: 283838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 75513285.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {p: 1, u: 9, g: 1, z: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 837, 2, 1?\nAnswer: 837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 35 + 0 - -1) + (-1257 - -1254)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -326934*m**2 - 4430*m - 6645. Let f(x) = -443*x**2 - 6*x - 9. Calculate 3*d(h) - 2215*f(h).\nAnswer: 443*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 66 + 214. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419220 a multiple of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 496684544 to the power of 1\/2, to the nearest integer?\nAnswer: 22286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 15 - 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, -13, -70, -141, -220, -301, -378?\n\"Answer: r**3 - 16*r**2 + 4*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 788600, 788608, 788616, 788624?\n\"Answer: 8*m + 788592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = -y, -5*f = 2*y - 4*f - 7. Put -6, -4, -8, y in decreasing order.\nAnswer: y, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-10))\/(-2))\/((1344\/160)\/3).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 690 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:51 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, -141, -660, -1665, -3318, -5781?\nAnswer: -9216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 4*l + 11*f - 3*f - 6, 0 = -10*l - 133*f + 132*f + 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1350*m**2. Let r(i) = -8*i + 12. Let a(z) = 14*z - 20. Let o(n) = -3*a(n) - 5*r(n). Give o(j(l)).\nAnswer: 2700*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386 or -385?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7110*b + 0*b**2 - 265*b**4 + b**2 + 7025*b wrt b.\nAnswer: -6360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-39)*r**5*r**(-2\/23) assuming r is positive.\nAnswer: r**(-784\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -21*f - 6. Suppose 30 + 4 = 21*c - 55*c. Let i(s) = -s - 1. What is c*y(k) + 5*i(k)?\nAnswer: 16*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v - 6*v**2 + 3*v**3 - 3*v**3 - 4*v**3. Let h(s) = -s**3 + 2*s**2 - 2*s + 3. Let m be h(2). Let i(k) = -k**3 - k**2 + k. What is m*y(u) + 6*i(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 3*d**2 - 5*d + 4. Let c be z(4). Is c smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 0 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12 - 2\/(-8). Suppose i*a - 9 = -3*a. Are 1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*(-10)\/35. Let l = -0.23 - -0.03. What is the second biggest value in o, 0.2, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 3}. Give prob of sequence hhh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58496700 rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/42*(1 + -41). Let l(d) = -d + 1. Let o(n) = -3*n + 4. Determine q*l(y) + 5*o(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -649*s + 39 + 216*s + 222*s + 213*s. What is f(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**3 - 9*s**2 - 18*s - 9. Let u(k) = k**2 + k + 1. Let y(h) = j(h) + 9*u(h). What is the second derivative of y(i) wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/19369 and 37\/334807.\nAnswer: 2343649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*d + 35 - 10 + 81*d - 31 in the form g + r*d and give r.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112589*j**2*r**4 + 5*j**2 - 137*j + 28 with respect to r.\nAnswer: 450356*j**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - v + 1 - 0, -5*v - 4 = -4*w. Sort 5, w, -2 in increasing order.\nAnswer: -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 - n + 1. Let k be z(0). Let w be (1\/4)\/(k\/4). Which is bigger: w or -0.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 10:43 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let m(z) = -10474*z**2. Calculate m(h(a)).\nAnswer: -10474*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00445 rounded to four dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.31 (b) 2 (c) -0.5 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -181366774\/7 or -25909539?\nAnswer: -25909539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 33 - (2 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -899*i**2 + 7*i + 2. Let t(v) = v**3 + 6*v**2 - 7*v + 7. Let n be t(-7). Let x be u(n). What is x rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4 + q - 1 - 2*q. Let s be h(-7). Let m(w) = -w**3 + 9*w**2 + 12*w - 15. Let u be m(s). Solve 4*i - 40 = 5*n, 37 = -n - 2*n + u*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171038 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: Find the second derivative of 601149*y**4 - 332591*y wrt y.\nAnswer: 7213788*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (0 - 3))*-1. Suppose 0 = g + 1. Let w be 4 + (g - (-2 + j)). Solve -b + w*x + 1 + 0 = 0, -11 = -2*b - x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81583, -81571, -81545, -81499, -81427?\n\"Answer: r**3 + r**2 + 2*r - 81587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -769010547888.575 and 0.\nAnswer: -769010547888.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/1 - (-13 + (9 - -4)). Let d be 30*(-4 - 5*-2). What is the highest common factor of z and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438215 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c7 - -1?\nAnswer: -3c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 86*d**2 + 23. Let n(l) = 88*l**2 + 16. Let u(q) = -2*f(q) + 3*n(q). Let h(k) = -3*k. What is h(u(v))?\nAnswer: -276*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 p when four letters picked without replacement from {p: 3, d: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -98578926 divided by -5\nAnswer: 98578926\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 2 + 6 - 14*n.\nAnswer: -14*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*i = 324, 9*v - 5*v - 276 = -4*i. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 - -108991.474879?\nAnswer: 108991.744879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/120*4*30\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2212*g + 3248 - 3248 in the form s + t*g and give t.\nAnswer: 2212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -10*p + 5*p. Suppose -4*v - p = 3. Let t = 2 + -1.8. Which is the second biggest value? (a) v (b) t (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16405582 and 718?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u**2 + 3*u**2)*(-6580*u**2 - 6768*u**2 - 37840*u**2 - 12061*u**2).\nAnswer: 63249*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 481648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvww when four letters picked without replacement from mrxwrwrmmxrcvrxcxxr.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59981051, -119962103, -179943155?\n\"Answer: -59981052*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Simplify (6*(5 + (sqrt(539) - -1*sqrt(539)) + sqrt(121)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: 5400*sqrt(11) + 90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5070 is divided by 134.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.193946 kilograms to tonnes.\nAnswer: 0.000193946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12895727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3390\/40 + (-3)\/4. Suppose -224*r + m = -222*r. Let t be r\/(-56)*(-8)\/6. Sort 22, t, 5 in ascending order.\nAnswer: t, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*p - 15, 0 = -5*k - 0*p - p - 3. Suppose k = -5*u - 318 + 948. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19718 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooxxxoxoooxo. What is prob of sequence ox?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*3*(-40)\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asogssaosaaosmo. What is prob of sequence ssog?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 1)\/(24\/12). Suppose -m + 5*g = 13, g - n = 2. What is the second derivative of 4*v**5 + m*v**2 - 16*v**5 + 10*v - 2*v**2 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 11. Suppose 2*r + f = 33. Suppose 0 = 7*l - r*l. Put -4, -5, l in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:50 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -916410 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3078 and 1728?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 5, -k - 4*b = -24. Find the second derivative of -3*x**4 - k*x**4 + 12*x + 3*x**4 + 0*x**4 wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -15, 5, 8660 in ascending order.\nAnswer: -15, 5, 9, 8660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 18137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, p: 3, v: 4, t: 1}. Give prob of sequence to.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5980855374 to the power of 1\/2, to the nearest integer?\nAnswer: 77336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/36190 and -157\/2859010?\nAnswer: 2859010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1574\/5 - 6311\/20. Which is the third smallest value? (a) k (b) 5 (c) -50 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2564 divided by 48?\nAnswer: -641\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (4 - -2)) + 17 + -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1 + 4*r**2 - 178*r + 178*r. Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3567 (base 8) to base 16\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 26*p - p + 6*p + 2*p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 1 + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, 47, -610, 62 in decreasing order.\nAnswer: 62, 47, 5, 2, -1, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 4 - 638*m**2 + 616*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 3*f + 1359 = -10*g, 14*f = 2*g - 942. Calculate the highest common divisor of 342 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.2. Let n = b - -0.000275. Round n to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-32))\/((-156)\/(-1456)). Sort -1, g, -3, 4.\nAnswer: -3, g, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4713.519 months to centuries.\nAnswer: 3.9279325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 162358 or 162376?\nAnswer: 162358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9423240271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 74*s**2 + 153*s - 118. Determine p(76).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 47. What is the remainder when 51 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 45 = -m. Let s(x) = -2*x**2 + 19*x - 8. Let l be s(m). Let h be (-6 - -4) + l + 3. Is h greater than or equal to -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1008) - (sqrt(1008)*-1 - sqrt(1008)))*4 + sqrt(1008)))\/(-1*(sqrt(576) + -3*sqrt(576))*-1).\nAnswer: -13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -533589823 = -533589822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 - 16*p**3 + 2*p**3)*(3 - 2*p - 3)*(p - 8*p - 4*p).\nAnswer: -176*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 9, 4.\nAnswer: -1, 4, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 94.\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -57, -128, -237, -390, -593, -852, -1173?\n\"Answer: -b**3 - 10*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**3 - 2*x**3 - 2*x**3 - 1612*x**2 + 203*x**2 + 8*x**3 - 1079*x**4 wrt x?\nAnswer: -25896*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 953710361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 2602055219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from fflipfiflffflffilf.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3149693 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 275\/(-99) + 2\/(-9) + 0. What is the units digit of (2 + o)*-2 + 10*11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 171? (a) 5 (b) 49 (c) -0.2 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 8005*s - 96361. What is d(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = 0, -3*q - 3*v = v - 2. Suppose -15 = 5*a - q*a. Suppose -3*o = -4*p + 49 + 24, -3*o + a = 0. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-48) - (-34)\/(-51) - (-114081)\/4. What is the greatest common factor of a and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 702, -5 in decreasing order.\nAnswer: 702, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/24 - l**4\/24 + l**3\/3 - l**2. Let b(d) be the first derivative of x(d). Is b(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1242)\/(-189))\/23)\/((-3)\/((-84)\/(-100)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12027389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4999*l**3 - 4*l**2 + 4*l + 934. Let s(g) = -4995*g**3 + 3*g**2 - 3*g - 934. Let v(r) = 3*h(r) + 4*s(r). Differentiate v(z) wrt z.\nAnswer: -14949*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 227*t - 500 + 225*t)*(60 - 60 + 5*t**2).\nAnswer: -10*t**3 - 2140*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/(-11)*23\/(-46)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28 - 2*c - 28 - 2*c. Let v(j) = 3*j. What is 5*q(o) + 6*v(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (125\/50)\/((-2)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*t**2 + 76*t**2 - 193*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u - 882. Let l be u\/21*6\/(-8)*2. Suppose -25*c + l*c = -16. Solve 2*b + c = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 602 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/26355 and -51\/22540.\nAnswer: 16972620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 636.810692 to two decimal places.\nAnswer: 636.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -43140344?\nAnswer: -43140345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457 plus -52314157?\nAnswer: -52311700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 2:37 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33965 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*v**4 - 3*v**3 + 2*v**2 + 857*v.\nAnswer: -1320*v**2 - 18*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1505*i**3 - 8*i**2 + 173*i wrt i?\nAnswer: 9030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(55\/6)*45. Let i = m + -52. Solve -i + 6 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 100. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/(-212))\/((15\/(-20))\/(333\/(-6)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let b(d) be the second derivative of 0*d**3 + 0*d**2 - d - 1\/12*d**4 + 0. Give p(b(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1203*i = -1202*i - 16, 176 = -5*w + 11*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16280*-0.033\nAnswer: -537.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -1\/6*x**4 - 1\/10*x**5 + 0*x - 1\/6*x**3 - 1\/30*x**6 + 0 - 1\/210*x**7 - 3*x**2. Factor n(c).\nAnswer: -(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/5 + 4776*s**3\/5 + 4774*s**2\/5 = 0. What is s?\nAnswer: -2387, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 v when three letters picked without replacement from {y: 2, h: 1, v: 1, o: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + (0 - (-2 - -22))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (5 - (2 + (13 - -4))) + 4\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 69120 = 15*y. Suppose -3*x + 27*x - y = 0. What is the least common multiple of x and 12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -12*n**2. Let l(r) = -2794*r - 28. Determine l(s(k)).\nAnswer: 33528*k**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 4)*(-63*i**3 - 115*i**3 - 40*i**3) + 3*i**2 + 2*i**3 - 3*i**2 to m*i**2 + s*i**3 + f + u*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crwt when four letters picked without replacement from ctewrbr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2040 and 831928065?\nAnswer: 6655424520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 9\/(3 + -2). Suppose 4*h = -20, 3*q + 2*h = -c - 0. Suppose 0*x = 2*k + 3*x - q, 3*x - 16 = -5*k. Solve 5 = k*l - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b = 4*b - 264 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23179970 and 2310?\nAnswer: 486779370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 76 = -17*x, 3*x - 6 = f + 2. Solve -2 = -2*y - 2*r, 15*y - 2 = 10*y - x*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -21 + (43 - (25 - 10)) - (-93 - -1)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -105.73\nAnswer: -422.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -4 (c) 4719 (d) 172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3246 divided by -40.\nAnswer: 1623\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 47. Which is the biggest value? (a) f (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, d: 3, o: 6, i: 6}. Give prob of sequence kjo.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4 = 4*f. Let x be (-2)\/(-4)*(-72)\/(-18). Suppose 2*j + 6 - 14 = 0. Solve j*b - 7 + 2 = -d, -2*d = f*b - x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(12\/600*10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100221020 (base 4) in base 12?\nAnswer: -45a320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8292, 16199, 24106, 32013, 39920, 47827?\nAnswer: 55734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c - 116 = 0. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -5*p**4\/4 + 2*p**2 - 2*p + 11863. Let i(f) = -11*f**3 + 9*f - 4. Determine -3*i(w) + 7*k(w).\nAnswer: -2*w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.47 + 6.87. Which is the biggest value? (a) o (b) -2 (c) 0.3 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(-2)\/18*-6. Let c be -2*1*(-6)\/(-4). What is the third smallest value in c, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/536 and 71\/3.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 285*u + 0 - 269*u)*(-3 + 3 - u**2).\nAnswer: -16*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxinswwxssssnnsnin. What is prob of picking 1 i and 2 w?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*i**2 - 5*i**3 - 2*i**2 - 2*i**3 + 3*i**3 - 8*i**4 + i**3 to the form s*i**4 + q + m*i + g*i**2 + z*i**3 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2335, -2284, -2209, -2110, -1987, -1840?\n\"Answer: 12*o**2 + 15*o - 2362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - p + 22, 2*p - 7*p + 8 = 3*t. What is the remainder when 17 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13594587 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 21*b - 15*b.\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + o + 8 - 26.\nAnswer: o - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + -1100010010011?\nAnswer: -1100010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 take away 16218?\nAnswer: -16193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -256 + 83 + 88 + 95*c**4 + 86 + 2*c**2 + 0*c + 2*c - 3*c**3 in the form p*c**2 + f*c + n*c**3 + y*c**4 + b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*y - y. Let m be 2*((-15)\/(-6) - 3). Let b = 2 - m. Solve b*t - 8 = y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12612 is divided by 435?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 20*t**2 + 60*t - 149. Give s(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/48 - 7*n**3\/12 + 51*n**2\/8 - 651*n. What is l in v(l) = 0?\nAnswer: -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2*2)\/((-6)\/4). Which is the nearest to q? (a) -1\/3 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220781129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) - (4 + sqrt(980) + -1 + sqrt(980) + sqrt(980) + sqrt(980)))**2 + 3 + (sqrt(980) + 0)**2.\nAnswer: 252*sqrt(5) + 9812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -73, -4 in decreasing order.\nAnswer: 30, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -593, -0.011, 139 in descending order.\nAnswer: 139, -0.011, -593","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -27. Let j be (3\/(-6))\/(3\/f). Factor -5*m**2 - 6*m**4 - 4*m + 6*m**2 + 4*m**5 - 2*m**j + 5*m**2 + 2*m**3.\nAnswer: 2*m*(m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000082490554 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -411?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:03 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 2}. What is prob of picking 1 n and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2520 and 1.1.\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + 0) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 20650\nAnswer: 103250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/767628 and 23\/191907.\nAnswer: 767628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(-1 - 2*w + 1) + (-2 + 6 - 3)*(4*w - 4*w + 4*w) to v + g*w and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b + 21. Let i(x) = -3. Calculate -21*i(m) - 3*k(m).\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 2\/7, -0.2, 29?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 10*b**2 - 13*b - 15. Calculate n(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 21 + 3. Let j = 15 + u. Let h = 6 - 0. Calculate the greatest common factor of j and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stt when three letters picked without replacement from ssssttstttstst.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -8 + 147*(-4)\/(-12). What is the highest common divisor of q and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 a when three letters picked without replacement from {a: 3, f: 2, g: 1, j: 3, k: 9}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.22356 rounded to 2 dps?\nAnswer: -23.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 3:23 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 3, g: 6, e: 5, o: 1}. Give prob of picking 2 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 50. Let j = -24 - p. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374257 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592 + 1189 = 31*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57734 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhuuuuuuuhuuuuuhu. Give prob of picking 3 u and 1 h.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + i**3 + 2*i**5 + (-i + i - i**3)*(i**2 - 2*i + 2*i) + i**5 - 3*i**5 - 2*i**5 + (-2 + 3 - 5)*(2*i**2 - 2*i**2 - 2*i**5).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -760 (base 13) to base 12\nAnswer: -891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 6*z**3 + 7*z**3 + 6*z**3 - z**3 - 3*z**3 + (8492 + 8*z - 8492)*(-z**2 + z**2 - z**2).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*w**4 + 14 - 289*w**4 + 148*w**4 - 6*w**3 + 68 wrt w.\nAnswer: 16*w**3 - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -159, -97, -9, 111, 269, 471, 723?\nAnswer: 1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {f: 2, o: 4, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Suppose i*s + 14 = 2*s. Solve -s*k = -3*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)*w*w**(-1\/10))**17 assuming w is positive.\nAnswer: w**(-1207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t + 12816*t**2 - 5*t + 4429*t**2.\nAnswer: 17245*t**2 + 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 54. Solve 0 = -2*p - p - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7468197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5146, 10350, 15534, 20692, 25818, 30906, 35950, 40944?\nAnswer: 45882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -5, 131, 0 in decreasing order.\nAnswer: 131, 56, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8 - 172*z**2 + 19 + 2*z**4 + 167*z**2 as c + p*z**2 + v*z**3 + f*z**4 + m*z and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/14)*g*g*g\/(g**(10\/9)*g))**34 assuming g is positive.\nAnswer: g**(1445\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) -3\/2 (c) -13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1740 <= -1738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 56*c**3\/9 - 650*c**2\/9 + 592*c\/9.\nAnswer: 2*c*(c - 8)*(c - 1)*(c + 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -3 + 10 + -12. Put 0, d, 4 in decreasing order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-3)\/(-120))\/(3\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -4 (c) 2\/15 (d) 3 (e) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -51 (b) 2 (c) -0.11 (d) -39 (e) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -6\/11 (c) 0.0862 (d) -5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -542 (base 14) to base 10.\nAnswer: -1038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.40792 rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27992, 27988, 27982, 27974, 27964?\nAnswer: 27952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 3*f + 5 - 2*f.\nAnswer: -5*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*a - 21*a + 9. Let o(z) = 2*z - 6. Let j(f) = -f + 1. What is a*j(h) - o(h)?\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/(4\/(-36)). Solve -r*o - 5 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2, -1\/3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:59 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 6. Let i be x(3). Let s be i*(-1)\/2*(-220)\/66. Suppose 2*q = -h + 6*q - 6, 0 = -h + 5*q - 10. Solve h = 3*p - 4*u, -1 = s*p - u + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 2268 = 2*s. Let a(r) = -13*r**3 + 0 - 5*r**3 - s*r**2 + 187*r**2 + 1. Give a(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80935800 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((((h*h**(-9))\/h)\/h)\/h)\/h)*h**(-9))**(18\/5) assuming h is positive.\nAnswer: h**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 divided by 7?\nAnswer: 1140\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:16 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 - (-15 + (7 - -24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 42*h**2. Let m(u) be the first derivative of -u**2\/2 - 3. Calculate l(m(i)).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*a + 61875, -2*l + 1195 = a - 122562. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 164*u - 1897. Let l be n(-68). Let x(k) = 2*k**2 - 6*k + 5. What is x(l)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 75*l - 208. Let x be w(40). Let n(f) = f**3 + 6*f**2 - 19*f - 17. What is n(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16433, -16368, -16263, -16118, -15933?\n\"Answer: 20*k**2 + 5*k - 16458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1\/5*l**5 + 0*l**3 + 0*l**4 + 0 - 1\/10*l**7 + 0*l + 0*l**6 + 7*l**2. Find the third derivative of v(p) wrt p.\nAnswer: -504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2295226101 and -263.\nAnswer: -263.2295226101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*y - 41*y - 2 + 11*y - 41*y.\nAnswer: -168*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 69 = -17*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 203800, 407605, 611418, 815239?\n\"Answer: 4*o**2 + 203793*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 76 - 76 + n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-5) + 4\/10. Suppose -8*a + 2*a = -24. Suppose -2*s = -a*u + 2526, w*u - 4*s - 2521 = -7*s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-882)\/(-4))\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkkn when four letters picked without replacement from nkxkbkkxk.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnotnhtfnoftoo. Give prob of sequence fo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96790 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/81*(-837)\/(-372))\/((9\/20)\/3).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(34)\/sqrt(2))**2 + sqrt(17) + sqrt(1088) + -3.\nAnswer: 23 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39390 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448)*2 + 5 + -6*((sqrt(187) - -1*sqrt(187))\/sqrt(11) + 4*sqrt(153)))**2.\nAnswer: -480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4001530 is divided by 464?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 557\/6 or 94?\nAnswer: 557\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 190 = -36*s + 6*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2347319 = -l - 584681. What is l rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 499566 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 928.\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -47.8. Let v = 22 - 12.8. Let f = v - o. Which is the nearest to 1\/3? (a) 2 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r - 10*r**3 - 175\/24*r**4 - 11\/4*r**5 - 107*r**2 + 0 - 3\/8*r**6 + 1\/42*r**7. Factor m(b).\nAnswer: 5*(b - 12)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18027 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*q + 32, 6 = -x + 2*q - 5. Suppose 3*h - 9 = -4*r + 119, -96 = -3*r + h. Let j = -29 + r. Put -1, x, j in increasing order.\nAnswer: x, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 51. Let q be ((-10)\/h)\/(2\/12). Let k(b) = 3*b - 6 + 1 - b**q + 3 + 3. Give k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 = -i, 12 = -3*i - i. Let d = 1 + 4. What is the highest common factor of d and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - (32\/72)\/((-8)\/12). Let b(z) be the first derivative of v*z**3 + 12*z**2 + 0*z - 25. What is the second derivative of b(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*z = -15, -2*z + 7 = 2*i - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 5:43 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 300 + 319 = -5*r, 2*o + 1 - 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**3 + 0*x**4 - 1\/60*x**5 + 0 + 0*x - 1\/20*x**6 + 5*x**2. Let u be k(-1). Solve 0 = u*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -6 - 4. Suppose 1 = -o*w + 5. Suppose w*u + 0*u - 46 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44628464?\nAnswer: 2, 23, 173, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18029, 18030, 18031, 18032?\nAnswer: 18033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 12*c**2 - 5*c + 15. Is g(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9)*t*t**(-1\/5))\/(t**(2\/7)\/t**(2\/9)))\/(t**(-1\/4)\/(t\/(t**(-3)\/t)))**(-1\/25) assuming t is positive.\nAnswer: t**(4717\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254946286 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from yxxyxyxyypxxyxxpx.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 503 + 245185?\nAnswer: 245688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**2 - 8*b - 7. Calculate c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543 = 21*b + 186. What is the second derivative of 5*f**2 - 5089 + 5089 - b*f - 22*f wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000948985 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 1886*i**2 + 883564*i - 5369496.\nAnswer: (i - 6)*(i + 946)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/8 + 2445507*k - 11961008974098.\nAnswer: -(k - 9782028)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -16 - (-10 - (-5 - -4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 12. Let d be g(4). Let h be 32\/8 + d + -3. What is the tens digit of -932*(0 + h\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + k - 6 = 0, -43 = 5*u - 2*k - 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 7. Let k(r) = 2*r - 3. Let n(g) = -4*f(g) + 9*k(g). What is n(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14000\/(-75))\/28*(-6)\/(-10). Put -10, -5, c, -1\/2, 1\/2 in descending order.\nAnswer: 1\/2, -1\/2, c, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 4\/5 (c) -0.4 (d) -34303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -4*v + 6, -12*v = -2*x - 17*v - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*f - 15 = -3, 0 = 5*z - 3*f - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -1\/18*b**4 + 4 - 1\/45*b**5 + 1\/135*b**6 + 6*b + 4\/9*b**2 + 4\/27*b**3. Let p(q) be the first derivative of k(q). Factor p(h).\nAnswer: 2*(h - 2)**2*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u**5\/7 + 16150*u**4\/7 + 10848724*u**3\/7 - 25439436*u**2\/7 - 25385562*u\/7 + 10886454\/7 = 0. Calculate u.\nAnswer: -1347, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 v when four letters picked without replacement from {v: 9, c: 11}?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23.8958*1\nAnswer: -23.8958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 6. Let y be w(6). Suppose k - 6*k - 10 = y. Sort 0, k, 4.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 676538718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 10 - (22 + 19)) + 29\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -4 (c) 0.3 (d) 4 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 13*u**2 - 13*u - 11. Let c be y(14). Suppose c*i + 24 = 5*i. Calculate the lowest common multiple of 22 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*c**2*y + 2*c*y + 857*y wrt c.\nAnswer: 238*c*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = 3. Let b = u - -97. Calculate the remainder when b is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*o. Let k = -7 - -5. Let t = -2 - k. Solve -3*w - 4 + o = 4*g, t = -g + w - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*s + 3257 = -3530 - 205. Solve 33*j = 10*j - s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594.938 meters in millimeters?\nAnswer: 2594938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 8. Let h = b + -9. Let o = h - 4. Are 1 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -10\/31, -157, 5?\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.091 - -0.619. Let z = q + 4.14. Let h = -0.15 - z. Which is the nearest to -1? (a) h (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463736 is divided by 4162?\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32956*d**4 + 3*d**3 + 79*d**2 - d - 449 wrt d?\nAnswer: 790944*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 71.6. Which is the closest to -0.1? (a) p (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 210 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/960 and -67\/128.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 15\/8 (b) 1\/1749 (c) 0 (d) -0.5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 + 5*r + 6. Let n be (-290)\/(-14) + (-4)\/(-14). Let f(w) = 2*w**2 + 5*w + 7. Let h be f(-2). Suppose n = -4*g + h. Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -1442, 5 in increasing order.\nAnswer: -1442, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 3\/2*v**2 - 68 - v**3 + 97*v. Find the first derivative of t(i) wrt i.\nAnswer: -6*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8790224?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170289280 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 6:51 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + q**2. Let b(s) = -3*s**3 + 4*s**2 - 2. Determine b(g) - 2*y(g).\nAnswer: -g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3. Let n(s) = 1 + 2 - 5. Let j(z) = 4249*z + 1. Let t be j(0). What is t*n(q) - 2*c(q)?\nAnswer: -2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66196 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 15. Let c be y(-5). Let x(b) be the second derivative of -1\/20*b**5 + 1\/6*b**3 + b**2 + c + 3*b - 1\/3*b**4. Give x(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101010122 - 212002?\nAnswer: 100021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12328.000029503 - 12328. Round t to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1451 (base 14) to base 15\nAnswer: 10ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*a + 15 = 0, -3*a = -2*a - 3. Suppose 22 = -j - j + 2*q, -3*j - t*q - 9 = 0. Are j and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/50*(-10)\/(-12). Factor 0 + y*i**2 + 9\/4*i.\nAnswer: 3*i*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9551*5336\nAnswer: -15768.4136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 9) to base 15.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -472557525 divided by -3425?\nAnswer: 137973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26833 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 38, -49, -224, -517, -958, -1577, -2404?\n\"Answer: -5*k**3 + k**2 + 3*k + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - t + 42 = 6*k, -3*k - 5*t = -34. Calculate the greatest common factor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*w = -5*m - 7, w = -2*m + 8. Let k(n) = 15 + 8 + 5 + 0 - m*n. Does 10 divide k(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = c, -3*c = 2*m - 0*c + 20. Let o(a) = -2*a**3 - 4*a + 4. Let l = 22 + -13. Let q(k) = -l*k - 11 + 10 - 4*k**3 + 10. What is m*q(f) + 9*o(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**7\/35 - c**4\/24 - 13*c**3 + 21*c**2. Find the first derivative of t(j) wrt j.\nAnswer: 24*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 15*h + 19. Let v be n(8). Suppose 0 = v*x - x + 740. Let t = 38 - x. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1890 = 2*p - 2*a + 4*a, -3790 = 4*p + 2*a. What is p rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*w - l, -3*w - 5*l + 5 + 11 = 0. Suppose 4*r = 3*i + 19, -2*i + 2*r - w*r = 5. Let v = -0.43 - 0.07. Put -3, i, v in increasing order.\nAnswer: i, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2020*n + 0*n**3 + 2616312*n**4 - 2626694*n**4 + 0*n**3 - 3 wrt n?\nAnswer: -124584*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1 = 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 6*u**2 + 18*u - 4. Let x be d(7). Suppose -s + 5*s - x = -5*a, -2*s = -8. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14115 - -465844\/33. Calculate the common denominator of z and 71\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 q, and 1 i when four letters picked without replacement from {d: 1, p: 1, i: 1, v: 2, q: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 13 = -0*i + 5*y, i - 5*y - 16 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8) + 399\/120 + -3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*k**2*o + 5*h**3*k**2 + 53*h**3*k*o**2 + 2*k**2*o**2 + 129*k*o wrt o.\nAnswer: 106*h**3*k + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 576\/(-1)*(-159)\/106.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 4*x - 7. Let o(d) = 2*d. Let v be o(2). Let m(y) = -2*y + 4 - 3 - 5 - 3*y**2. Determine v*n(r) - 7*m(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 310, 302, 304, 322, 362?\n\"Answer: n**3 - n**2 - 12*n + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Let t(q) = -4*q + 4*q - 4 - q + 3. Let z(r) = 5*r + 4. Let i(s) = -4*t(s) - z(s). Determine h(i(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - (-103 - -127)) + 64.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107770 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1302*u - 7632. Let z be t(6). Solve -z + 271 = 13*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v**2 - 17*v**2 + 44*v**2)*(3*v**3 - v**3 - v**3).\nAnswer: 42*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713 + -39?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-4 - -2) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/9 or 0?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 442 + 2231?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56\/5 - 158\/15. Let q(k) = k - 3. Let r = 7 - 3. Let m be q(r). Is m < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*m**2*p**3*z - 228*h**2*m*p*z**2 + 2*h*m*p**3*z - 2*h*m*z**2 - h*p**3*z - 42*h*z + 2*m**2*p**3*z**2 wrt h.\nAnswer: -2*m**2*p**3*z - 456*m*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/2 + 2*c**3\/3 - c + 9. Determine m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7))**15\/(y*y**(10\/9)\/y)**27)**(-34) assuming y is positive.\nAnswer: y**4590","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from juujuj.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 1367. Let t(f) = f + 634. Determine s(t(b)).\nAnswer: 2*b**2 + 2536*b + 805279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:40 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**(-1))**(16\/5)\/(((((m*m*m\/(m*m**(-1\/2))*m)\/m)\/m)\/m)\/(m**3*m)))\/((m**(-1\/4))**(12\/13)\/(m\/m**2)**9) assuming m is positive.\nAnswer: m**(147\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -133395979222196 take away 2?\nAnswer: -133395979222198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13465 + 13469. What is the third biggest value in r, 23, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z - 16*z + 13*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 3, c: 1}. What is prob of sequence ucs?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 108, 1\/3, -53\/3, 0.3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6585.3 to the nearest ten.\nAnswer: -6590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.838 decades in millennia?\nAnswer: 1.76838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t - 65162*t**3 + 65163*t**3 + 2*t - 3*t - 7. Let x(c) = 36*c**3 - c**2 - c + 1. Let i be x(1). Let r(q) = -q - 1. What is i*r(k) - 5*d(k)?\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(5))**2*-5.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/2 (b) 10 (c) 2 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -110292931\/2 and -55146467 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 335\/(-156) + 75\/300 and -80\/51?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d**2 + 6 - 7 + 18*d**2.\nAnswer: -19*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 - 121 - 2*o**2 + 153)*(-o - o + 0*o + (-1 + 3 + 0)*(o - 4*o + o)) in the form u*o**2 + f*o**3 + d + t*o and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183543 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k**5 + 226024*k**4\/7 + 46215936*k**3\/7 + 14055264*k**2\/7 - 1757984*k\/7 = 0. Calculate k.\nAnswer: -802, -274, -2\/5, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5\/3 (b) -4 (c) -3\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 128 = 3*y, 13*y + 31940*n + 588 = 31944*n for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 145923300608.\nAnswer: 145923300607.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32.51518 and -86?\nAnswer: 53.48482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c11 - 2a?\nAnswer: 2bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*i**2)*(-4 + 3 - 1)*(-7 + 5 - 11).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -10, -2, -3\/2, -217\/26, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 10 = -9*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 938 - 887. Calculate the remainder when 184 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.0511, 2\/7?\nAnswer: -0.0511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22656 - -22728. Solve 0 = -3*k - 4*m - 27, -o*k + 75*k - m + 12 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*v = 9, 7*v = j + 3*v - 19. Which is the second biggest value? (a) 1\/8 (b) 7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**3\/3 - 9*l**2\/2 - 161*l + 136. Let u be c(-9). Which is greater: -6\/23 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*y + 3 = -3*y, -4*y - 17 = h. Let j = 3 - h. Suppose m = -j*m + 43. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let v(x) = -52*x - 111. Let i(j) = 52*j + 89. Let f(p) = -5*i(p) - 4*v(p). What is the hundreds digit of f(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*z - 71*z - 54*z - 75*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.06, -2130\/17, -5, -0.3 in ascending order.\nAnswer: -2130\/17, -5, -0.3, -0.06, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g = 20 + 34. Put 110, 0.4, -1\/2, g in increasing order.\nAnswer: -1\/2, 0.4, g, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3068 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g - 1. Let i(l) = 5*l**2 - 4*l - 5. Let f(x) = -2*x - 6. Let v be f(-5). Let a(b) = v*j(b) - i(b). Calculate a(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**5 + 35*m**4\/2 - 125*m**3\/3 + 30*m**2 + 87. Let s(a) = 0. What is a?\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than 100274389?\nAnswer: 100274389.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*n - 5*x - 1025, n + 3*x - 337 = 0. Let k = n + -127. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10219492315 + 10219491851.00000258. Let s = -464 - b. What is s rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - j**3 + 6*j**3 - j.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 + 5 = 0. Sort -5, d, -1.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (11 + (-42 - -8)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) - 0 - 12\/(1008\/(-14)). What is the closest to z in -2\/45, 5, 2\/3, -0.102?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507771245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 562.6991 and -7.\nAnswer: -3938.8937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1. Let m(s) = s - 11. Let x(y) = 4*f(y) + m(y). Determine x(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-66)\/7 - -4) + 9\/21 - 5. Let b(w) = w - 38. What is b(u)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 74\/8 - 30\/24. What is the tens digit of 6\/(-8) - (-182)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4262*m. Let r(s) = -61*s + 1. Give r(c(h)).\nAnswer: 259982*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 11*d**2 + 55*d - 43. Give k(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191*s**3*y + 234358*s**3 + s*y + 171*y**2 wrt y.\nAnswer: -191*s**3 + s + 342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 101976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -304*l*s**3 + 49*l*s**2 - 2*s**3 wrt s.\nAnswer: -1824*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 - 6*v - 6. Let l(a) = a**2 + a + 1. Let x(k) = -f(k) - 6*l(k). Let w(i) = i**2 + i - i. Give w(x(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -17) + 25 + -93.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10974061?\nAnswer: 7, 17, 92219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbxdy. Give prob of sequence xd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 23 + 84 + 64 + -171?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1162791574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 206 = 605. Let i(m) = 100*m + 60*m - j*m. Let o(s) = 2*s**2. Give i(o(q)).\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37880.67ml to litres.\nAnswer: 37.88067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1 + sqrt(18)))**2 + (sqrt(128) + 1)**2.\nAnswer: 20*sqrt(2) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -3) + 2 + 67. Let t be (-6)\/(-3) - d\/34. Let o = t - -37\/51. Which is the nearest to 2? (a) o (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-3) - (20\/(-15) - 0). Suppose -18 = -5*b + 3*z, 0 = -b + t*b - 3*z - 6. Solve 3*r = -3*l + b*l + 12, r + 5*l = 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2 + 1. Let w be i(1). What is the least common multiple of (-4 + 5)\/((-1)\/w) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -34807, 1 in ascending order.\nAnswer: -34807, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 3 + -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53336 and 1298?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -3*h - 60. What is the closest to -2 in 8, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:15 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(-1)))**(4\/5))**14*(t*(t*t\/(t*t**(-4)*t))\/t*t**(-5)\/t)**(3\/2) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 87, -20 in increasing order.\nAnswer: -20, -9, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2\/5 (b) -0.1 (c) 0.03 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -23*a**6 - 27\/2*a**2 + 0*a**3 + 0*a + 0*a**5 - 123 + 0*a**4. What is the second derivative of d(u) wrt u?\nAnswer: -2760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-2\/7)*j*j))**(-1\/84)*(j**1*j)**3)\/((j**(-2\/7)*j)**(-16\/9)\/((j*j**(-1\/2)\/j*j)\/((j*(j\/j**(-3))\/j)\/j))) assuming j is positive.\nAnswer: j**(4225\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -240*f + 1. Let x(t) = -t**3 - 16*t**2 + 18*t + 17. Let a be x(-17). Suppose -3*n - 5*b = -a*b - 12, 5*n - 3*b = -14. What is the tens digit of s(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 24*f + 100. Let l be 2\/f*(-693)\/(-42). Is -7 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-240 + 3)\/(6 + 105\/(-14)) is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 245, 633, 1023, 1415, 1809?\n\"Answer: s**2 + 385*s - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 15*f + 352. Let i = -27 - f. Suppose -3*t + 3*c = -9, 0*t + i*t + 9 = -3*c. Solve t = -b - 2*b + 5*y - 22, 2*b + 18 = 5*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211002111101 (base 3) to base 14.\nAnswer: -1b2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k**2 + 11*k + 11. Let g(v) = v**2 - v. Let p(b) = b**2 - 6*b - 2. Let c(t) = -4*g(t) + p(t). What is -11*c(w) - 2*u(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 + 2 = 0. Suppose -182 = p*w - 17*w. Let z = 222 - 152. Calculate the highest common divisor of z and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448128 divided by -6?\nAnswer: -74688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 1, e: 1, p: 2, c: 1, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2952 is divided by 736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 455. Let t be d(0). Suppose -t - 304 = -3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259\/3 + 86. Sort -0.3, s, -12 in increasing order.\nAnswer: -12, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2796 and -145\/9786?\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 716 and 488.\nAnswer: 87352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:54 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 40*w + 23235 = 5*u, u - 4635 = -3*w. Is u smaller than 4652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*v**5 + 236*b**2*v**2 + 119*b**2*v + 2*b**2 wrt v?\nAnswer: 20*b**2*v**3 + 472*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/((-4176)\/(-768)))\/(4\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 597431*a*v**3 + a*v**2 - 383138*v wrt v.\nAnswer: 3584586*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*g - 97*g = 8754. List the prime factors of g.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353 or -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*f + 611 = -60*f. Solve f*z + 106 - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 154569160 and 154569159 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145762.\nAnswer: 2, 31, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -26.3. Let k = 0.1 - b. Let s = -1 - k. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 112, 109, 104, 97, 88, 77?\n\"Answer: -q**2 + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 88. Suppose l + 12 - 39 = 0. Let u = -19 + l. Calculate the remainder when q is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 159*a**2 - 478*a + 7. Give i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9421 + 52144 = 141*p. Is p at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n - 10*n + 22*n to r + f*n and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1.13 (c) 3\/4 (d) -5 (e) 7\/64 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331928 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + a - 47 = 0, -7*i + 1 = -8*i + 5*a. Let c(d) = -2*d - i + 8 - 2. Let g = -8 + 12. Give c(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/(-175)*15 - (-46716)\/10.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -x - c, -3*x + 5*c = -x - 5. Put 20, -1, x in decreasing order.\nAnswer: 20, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6 - 45\/(-10). Suppose 91 - 25 = q*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - b = 23, -2 = 5*p + 4*b - 90. Let h = 48997\/44 + -4445\/4. Calculate the common denominator of h and 114\/5*5\/p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31811756 less than 2?\nAnswer: 31811758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, g: 1, b: 2, r: 1, l: 4, q: 6}. What is prob of picking 1 r and 3 l?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*b + u + 23, -4*u - 76 = -5*b. Suppose 0 = 2*j - m - 1 - 24, 4*j + 3*m - 45 = 0. Calculate the smallest common multiple of j and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 44 = w, -3*l - 3*w = -15 - 3. Let p(z) = 9*z**2 - 4*z + 1. Let d be p(2). Let y be d - (3\/3 - 2). What is the highest common divisor of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*b)*(-3 + 4 + 1)*(47*b + 23*b - 2*b).\nAnswer: 272*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58874, 117750, 176626?\n\"Answer: 58876*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -57 + (-58 - -118)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5236615 micrograms?\nAnswer: 523.6615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186400095 to the power of 1\/2, to the nearest integer?\nAnswer: 34444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 14. Let u = f - 32. Let d = u + 31. What is the highest common factor of 104 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37*898334\nAnswer: -33238358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2172 and 108?\nAnswer: 19548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqqt when four letters picked without replacement from wqtwtqwtttww?\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/7)\/(((-1)\/(-14))\/(-1)). Let f(u) = 2*u - 3. Calculate f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.59379 rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.19. Let l = -52\/111 + 28343\/555. Let u = -51 + l. Is u smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 4931 - 4901. Solve 5*g = -s + 24, k*s = 13 - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54094733146932 plus 4?\nAnswer: 54094733146936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -29\/3*r**3 + 0*r**2 + 34\/5*r**5 + 0*r + 0*r**4 - 51. What is the third derivative of n(k) wrt k?\nAnswer: 816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-3*c - 2*c + 4*c)*((1 + 37 + 21)*(0 - 1 - 1) - 5 - 1 + 4 + 2 - 3 + 0 + (-2 + 4 - 3)*(-2 - 2 + 2) - 4 + 0 + 5).\nAnswer: -118*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)*r**(-8))**2 assuming r is positive.\nAnswer: r**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24117632939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 3*sqrt(468) + sqrt(468) + -1 - ((sqrt(468) + 0)*-6 + sqrt(468) - sqrt(468))) + 2*(-1 + 2 + sqrt(468)) + -1)**2.\nAnswer: 79092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 - 5 + 7*k**2 - 3*k**2 + 3*k**3 as u + p*k**2 + v*k**3 + j*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r + 107*r = 2265 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 41 + 55. List the prime factors of 450 + -6*(-56)\/x.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 9. Let d be o(-6). Let k be 9 + (3 + d)\/4. Suppose 4*p - 5*f = -k, 2*f - 5 = -5*p + 5*f. Solve 0*c - 29 = 5*v + c, -4*v = -4*c + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-3))\/(((-3)\/(-4))\/(81\/(-54))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:38 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 32 - 32)*((2*g + 2*g - 2*g)*(1 - g - 1) - g**2 - g**2 + 0*g**2 - 3*g**2 + 4*g**2 - 2*g**2 - 4*g + 4*g + g**2 + 0*g**2 + 2*g**2 + 7*g**2).\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5368102, 21472391, 48312872, 85889545, 134202410, 193251467, 263036716?\n\"Answer: 5368096*x**2 + x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 + 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 3, z: 1, l: 2, j: 1, u: 8}. Give prob of picking 1 q, 2 b, and 1 z.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + -11 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 174. Suppose l = -2*g + 28. Let v = -63\/2 - g. Put 0.2, v, -3\/8 in increasing order.\nAnswer: v, -3\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + (-6 - -23) + -37 + 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 87*i**2 - 55*i + 516. Let v be w(43). Which is the nearest to v? (a) 0.1 (b) 5 (c) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42148363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1221\/(-11220) + (36\/(-168))\/((-30)\/7)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-4)\/b))\/(b**0*b)*(b*b**(-2))**(-43))\/(b\/(b**2*b)*(b\/((b\/((b**(2\/3)*b)\/b))\/b))\/b*(b\/b**0*b)**15) assuming b is positive.\nAnswer: b**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1404) + (sqrt(1404) - (sqrt(1404) - sqrt(1404)*-2)))\/(sqrt(243) + -3*sqrt(243)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43.715+-2333424\nAnswer: -2333380.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 373 + (-4 - (-4 - -8)). Calculate the greatest common factor of 15 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/12)\/(m**(-1)\/m)*m**8\/(m*m**6))\/((m**(-3)*m*m**9)\/(m**(-7)*m\/(m\/m**(2\/3)*m))) assuming m is positive.\nAnswer: m**(-137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*j**2*k**2 + 36346*j**2 - 42*j*k**2 + k with respect to k.\nAnswer: -266*j**2*k - 84*j*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*f - 13. Suppose 3*t - 45 = -4*l, -f*l = 2*t + 2 - 39. Suppose t - 3 = 5*m - 3*n, 3*m = -3*n. Do -3 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Let b(a) = a**3 + a. Let n(r) = -57*r**3 + 112*r**2 + 135*r - 24. Let m(o) = q*b(o) - n(o). Factor m(u).\nAnswer: 4*(u - 3)*(u + 1)*(13*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-16)\/f*f)**(-10))**(6\/7) assuming f is positive.\nAnswer: f**(960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8131, -16346, -24561?\nAnswer: -32776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -27028.\nAnswer: -117\/27028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 22*f - 16. What is g(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452747.\nAnswer: 43, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*13*1\/(-2). Suppose 0 = -c - 5*x + 113 + 2, c = 5*x + a. Calculate the highest common factor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j**3 - 2797*j**2 + 8695*j + 106. What is k(212)?\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*q + 46*q - 66*q + 52*q + 50*q + 50*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3358702 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + d - 1, -2*h + 13 = 3*h + 3*d. Let o(a) = -2*a**2 + 10*a - 6. Let b be o(4). Sort b, -5, h in increasing order.\nAnswer: -5, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.18 times 236.77\nAnswer: -279.3886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*z - 46, -4*z = -1361 + 1369. Solve d*a = 2*a + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/532488 and 25\/10916004.\nAnswer: 21832008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308 + -1252. Let t = a + 935.47. Round t to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -3, 46, -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(81) - sqrt(4))\/(sqrt(10)\/sqrt(5)*3 + sqrt(2)) + ((sqrt(110)*-2)\/sqrt(5) + sqrt(22) - sqrt(22))\/((sqrt(110)*2)\/sqrt(10)))**2.\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -197\/2425 in -4, -2\/11, 1, -3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1903 by 354.\nAnswer: 1903\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2817985853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22a46 (base 12) in base 14?\nAnswer: -12cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svx when three letters picked without replacement from vvssrvszvzx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58753390 and 35.\nAnswer: 411273730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139379 to the power of 1\/2, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 377971 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8108 + -8108. Which is the third smallest value? (a) 0.5 (b) 0.025 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 291577 + 5?\nAnswer: 29157c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:35 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467117482?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 + 1947\/21 - 4\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 12*j - 426. Let r(q) = -17*q + 641. Give 7*l(w) + 5*r(w).\nAnswer: -w + 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019\/6 - (3 - 51\/18) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/420 - r**4\/84 + 3*r**2\/2 + 3*r. Let z(k) be the first derivative of t(k). Factor z(c).\nAnswer: 2*c*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/(-20) - 6\/(-15). Let c(p) = 4*p + 6. Let s(t) = -55*t - 13. Let h(q) = -35*q - 9. Let v(j) = -8*h(j) + 5*s(j). Give g*v(l) + 3*c(l).\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-267)\/712*(-52)\/(-6)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-1) - -1) + 3. Let j = 1.6 + -2. Which is the closest to -1? (a) 3 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -1\/9, 1222 in descending order.\nAnswer: 1222, -1\/9, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4010, 112, -15?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507, 1294, 2361, 3702, 5311, 7182, 9309?\nAnswer: 11686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 169174 + -21b?\nAnswer: 168f59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4\/89854563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22722012 divided by 5680503?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4407184027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/73, -1.7, -1\/9, -1\/7, -5 in descending order.\nAnswer: 1, 2\/73, -1\/9, -1\/7, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -329\nAnswer: -2\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - a = 133405, -5*n - 336151 = 4*a - 2631. Round n to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2\/7*g**2 + 4 - 2\/35*g**5 + 2\/7*g + 1\/7*g**4 + 0*g**3. Factor z(b).\nAnswer: -2*(b - 1)**3*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 73. Suppose -9 = 5*v - 3*k - 0*k, k = -c. Let n(l) = 16*l**2 - l - 1. Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - 5*j - 10. Let l be x(-3). Let s be l\/(-34) + (-174)\/34. What are the prime factors of (s - -12)\/(((-1)\/1)\/(-18))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 21. Suppose -m + 5 = c. Solve 0 = -4*g - m*o - 12, 2*g - g + 1 = -3*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.72, -4, 195, -2\/5?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.092\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -71*v**2 - 11*v. Let k(o) = 2*o + 14*o**2 + 26 - 26. Let j(q) = 11*k(q) + 2*t(q). Let x(y) = -5*y. What is x(j(w))?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7442, -26882, -58320, -101756?\n\"Answer: -5999*d**2 - 1443*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Let n(s) = s**2 + 2*s + 1. Let k = -4 - -1. Calculate the smallest common multiple of n(k) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 28\/61?\nAnswer: 28\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 3 - 3)*(1 - 1 - 1)*(-1 + 1 + q) - 11 - 4*q + 12*q - 11*q)*(54*q + 74 - 74) as y + z*q**2 + s*q and give s.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*j**5 - 11287*a**3*j - 3*a**3 + 98496*j**2 - 2*j - 1 wrt j.\nAnswer: -20*a**3*j**3 + 196992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3480 = -g + 3474, -3*g = -3*t + 21. Solve 2*i = -2*u - 11 + t, u + 3*i = -15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 2:24 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -805?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6*w**(-10)\/w*w**(1\/11)*w*w**(1\/11)\/w*w assuming w is positive.\nAnswer: w**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4.47*4092\nAnswer: 18291.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 15*a**2 + 5*a - 9. Let w be f(-19). Round w to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*d + 2*m - 9, -2471*d = -2473*d - 2*m + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p + 10. Determine t(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:04 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1430\/17 (b) 0 (c) -1\/76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 229*s**2 + 155*s + 9. Give u(-77).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/(-168) - 810\/16. Let h = 118 + d. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 88 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - 4\/(-336)*-358 and 45\/22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408 - 1095. Let y = -663 - o. Calculate the greatest common factor of 1536 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = -5*q - 260, 840747*i + 4*q + 208 = 840750*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7965, 7929, 7881, 7827, 7773, 7725?\n\"Answer: o**3 - 12*o**2 - 7*o + 7983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 67, 257, 571, 1009, 1571?\n\"Answer: 62*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14872.336606 minus 0.0184?\nAnswer: -14872.355006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**4 + 218*i**3 - 1566*i**2 + 630*i.\nAnswer: 2*i*(i - 5)*(i + 21)*(7*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -847.6 + 3?\nAnswer: -844.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by (6\/(-18))\/((-1)\/177)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 908906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1981 - 268972.6.\nAnswer: -266991.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/7 - 1208*z - 50880\/7.\nAnswer: 4*(z - 2120)*(z + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:30 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 611416684 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1872 by -26.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9 + 19 - 5 - 2 + 5*z**2 - z**3. List the prime factors of q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + m + 17999998 = -3*p, -18000010 = 5*p - 5*m. What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -287\/5 - -58. What is the fourth biggest value in 0.12, c, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 0*d - 13 = 2*d, 2*d + 11 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 14*i + 2*i)*(3 + 0 - 1)*(-2*i + 2*i - i).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/14224 and -179\/197358.\nAnswer: 1578864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -864*n. Let h(f) = 15 - 9*f**2 + 114 - 129. Determine r(h(p)).\nAnswer: 7776*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2076608 - 3582.64.\nAnswer: -2080190.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -18*l - 2. Suppose 6*s - s + 3*r = -37, 5*s - 4*r + 9 = 0. Let v be q(s). What is the highest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -0.04. Let f = -0.3 + k. Put 1, f, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jphhj. Give prob of sequence hphj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*g - 881 = 0, 2*v + 147 = 2*g + 497. Suppose -182*h + 800 = -v*h. What is the remainder when h is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -25*y - 124. Let a be h(23). Let k = 1074 + a. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1095\/19 - -1224229\/21242. Find the common denominator of -117\/10 and h.\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1895 - 55*y**5 + 1895)*(-6 + 0 + 2) - y**5 - 6*y**5 + 2*y**5.\nAnswer: 215*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 1 + -803 + 799\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 90 + 290. What is the least common multiple of 15 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 719 - 224. Is w a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -4*v - k, 4*k = 10 + 2. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 - (3 - -3))) + 7 - 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24194332.\nAnswer: 2, 17, 355799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 517069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**2. Let n(p) = 2*p - 1. Let s(d) = 1. Let z(r) = -n(r) - s(r). What is w(z(j))?\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -2*a**3\/3 - 9*a**2\/2 + 4*a. Is 19 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkr when three letters picked without replacement from {h: 1, k: 1, i: 3, r: 1, f: 3, g: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 5, -1, -5 in descending order.\nAnswer: 5, -1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -45*z + 78. What is h(3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 127\/20*f**5 - 78*f**2 + f - 57 + 0*f**3 + 0*f**4. What is the derivative of g(h) wrt h?\nAnswer: 381*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 0.2, 3, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 + 8*a - 3. Let q(b) = 31*b**2 - 57*b + 21. Calculate 15*d(u) + 2*q(u).\nAnswer: 2*u**2 + 6*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1125195768 by -4.\nAnswer: 281298942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-3 - -8) - -67. What is the third derivative of -v + 42*m**4 + 34 + 36 + 39*m**2 wrt m?\nAnswer: 1008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 50. Suppose k*f + 4*l = 21, 9 = -3*f + l + 2*l. Let t be ((12\/(-16))\/f)\/3*1. What is the nearest to 1\/6 in 0.1, -4, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-10)\/(-4) + 0). Let j(s) = -2 + s**2 + 3 - 2*s**2. Let v(h) = -4*h**2 + 5*h + 9. Let t(u) = -5*j(u) + v(u). Give t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s + 3*z = 17*s, 4*s = 2*z + 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = 3. Suppose t*n = 3*m - 45, 0 = 4*m - 2*n + 10 - 72. Let j be 14\/(-21)*(-7 - -1). Solve j*c = -0 - m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1521 = -108*f - 61*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 1714. What are the prime factors of v(-55)?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1641 + 1701.84. Let r = -55.9 + z. Let w = r + 0.06. Which is the second smallest value? (a) w (b) -0.13 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -28*a + 12*a - 6 + 0*a - 3 - 2*a**2. Let l be h(-7). Solve -1 = 4*c - 5*c + b, -5 = -l*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**2 + 4*v. Let l(m) = -9*m**2 - 5*m. What is -5*j(c) - 4*l(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*a**2*y + 3*a**2 + 4*a*y - 4*a - 958474*y with respect to a.\nAnswer: 72*a*y + 6*a + 4*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.657 to 1 dp.\nAnswer: -31.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 6*i**2 - 5*i - 9. Let j = -1113 + 1135. Calculate the remainder when j is divided by r(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*b + 20. Let v be (2 - 20\/6)\/(10\/(-30)). Let d = 745 - 742. Solve -d*q + v = -b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 2*w = 28, 165*q - 2*w - 4 = 168*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 + -49 - -32) + 9.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 1, o: 8, g: 4, v: 3}. Give prob of sequence uv.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*z - 116 - 2554 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 + z + 2. Let b be u(2). Let o be (5\/(-3) - -1)\/(2\/33). Let t be (b\/(-4))\/((-1)\/o). Solve 0*s = 2*g - 2*s + 14, -4*s + t = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*y - 1189 - 2352 = -1261 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, t: 3, x: 2}. Give prob of picking 3 t and 1 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(0 - 8\/12). Is o bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i + 1. Let t = 4 - 4. Suppose 0 = -4*g + 4*m + 8, -3 = -3*m - t. Let s be 4\/6*g - 2. What is w(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 46*n + 3. Let r(l) = -4*l**2 - 232*l + 14. Let b(k) = 28*c(k) - 6*r(k). Solve b(g) = 0 for g.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 3*n + 2 - 23*n**3 + 49*n**3 - 3*n**2 - 40*n**3 to the form b + t*n**2 + d*n + l*n**3 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/22 and -59\/1054?\nAnswer: 11594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1593*x - 78065 - 14329 = 0 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-18) - (-21)\/(-6). Let m be (-1 + (h - -8) - 3) + -5. Sort 0, 4, 8, m.\nAnswer: m, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 16*c**3 + 1. Let u be j(1). Suppose -d = 3*r - 91, 4*r - 51 - 57 = -4*d. Suppose 9*n = r*n - 115. Solve 3*w = x + 9, u - n = 4*w + x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*-6)\/(sqrt(24)\/sqrt(2)*5).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 + 12.78. Let w = -14.1 + j. Let v = 21.5 - 21.6. Is v greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5824 and 144417.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 11*j**2 - 5*j. What is f(-11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1129, -105, 919, 1943, 2967?\nAnswer: 3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/23)\/(d\/(d**(2\/13)\/d)*d))\/(d**(2\/5))**(-44) assuming d is positive.\nAnswer: d**(21927\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-15))*x**(3\/2)\/x*(x\/x**(7\/2))**(-36) assuming x is positive.\nAnswer: x**(151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-118)\/(491470\/(-35)))\/(6\/42)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 99*l**2 - 123*l - 2451. Let a be q(-98). Is -378\/185 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -717 and -711 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-50)\/1095)*(-215)\/2838*-11\nAnswer: -73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3127130 (base 8) to base 9\nAnswer: 1506004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -7*c**7\/360 - 7*c**6\/1080 + c**5\/9 + 2*c**4\/9 - c**3 + 6*c. Let p(g) be the second derivative of n(g). Factor p(w).\nAnswer: -(w - 1)*(7*w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4974706264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, -242, 1.\nAnswer: -242, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-8 - -9) - (-1 - 0). Let y be 6\/(-4)*(-1)\/6. What is the fourth smallest value in j, -0.9, y, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169\/932 or 1?\nAnswer: -169\/932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 + 2)) + 1 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20132201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.135 from -36.\nAnswer: -36.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 18. Let m be n(14). Suppose -5*f = 2*z + 3, -m*f = -2*f + 6. What is the remainder when 9 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 15 = -26*t. Let a(x) = x**3 + x**2 - x - 6. Let w be a(0). What is the units digit of (3\/(-18))\/(t\/w)*885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*0\/1410)\/(1*-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*-339*(20\/80)\/(3\/(-4)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/p**(-1\/3)))**8)**(-12))**(-49) assuming p is positive.\nAnswer: p**(-1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from eeqqzequueqqeuquqqqq.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.123 - 0.123. Which is the second smallest value? (a) 2\/9 (b) f (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-72))\/((-1)\/(-3)*-5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 12\/9)*3\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a second in milliseconds?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Let x(y) = -323*y**2 + 190*y**2 + 184*y**2. Determine x(k(v)).\nAnswer: 204*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*n + 3 - 26, 2*n - 32 = -5*i. Let d be 1\/((-3)\/9 - 33\/(-90)). What is the greatest common factor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -33*c + 18. Give f(3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -399.0325552 and 136?\nAnswer: 535.0325552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-33)*((-20385)\/(-6342))\/(40\/(-28))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -32, 0, 4 in decreasing order.\nAnswer: 4, 0, -16, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = 0. Suppose p*q - 62 = 2*q - 4*h, q = 4*h - 27. Let i = q + 43. What is the greatest common divisor of i and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711598654.\nAnswer: 2, 3, 451933109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j**(-9\/5))\/j))\/j**(-1\/8))\/((j\/((j\/j**(-6))\/j))\/(j\/(j*j**(-17)*j))) assuming j is positive.\nAnswer: j**(917\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53301.13l?\nAnswer: 53301130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406510865.7 rounded to the nearest 10000?\nAnswer: 406510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 59*n**2. Let o(j) = 6127753*j. Calculate o(p(k)).\nAnswer: 361537427*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114) + -5*((sqrt(114)*2 - sqrt(114) - sqrt(114)) + sqrt(114))))\/(sqrt(66)\/(sqrt(1584)*1)) + 2.\nAnswer: 2 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5623 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 919 = 4*u, -4*d = -2*u - 7*d + 459. Suppose -4509 = -5*g + u. What are the prime factors of g?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240839.9 nanometers in centimeters?\nAnswer: 0.02408399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 22 = -5*o, -5*d = 5*o - 25. Let n(k) = -3*k - 3*k + 5*k + 1 + d. Is 8 a factor of n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 45926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65282 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/(3\/(-8)). Let u(z) be the third derivative of z**4\/24 - z**3\/3 + 6*z**2. Let d be u(m). Solve -d*a + 3 = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, 5\/4, -28, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1784 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) + (-300)\/(-45). Let y be 4\/16 + d\/40. Let a = 129 + -141. What is the second smallest value in y, a, 3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 249*h. Let c(k) = 4*k - 71. Determine s(c(r)).\nAnswer: 996*r - 17679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 11*s**2 + 8*s - 16. Let d be f(-10). Suppose d*l = k - 5*k + 628, k + 613 = 4*l. List the prime factors of l.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0*d**2 - 8*d + d**2 - 2 + 2*d. Suppose s = -0*v + 4*v, 3*v - 10 = 2*s. Let q(m) = -2*m - 10. Let b be q(s). Calculate g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -11. Let i(h) be the first derivative of 2*h**2 - 3*h + 51. Let o be i(2). What is the closest to 1\/3 in p, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxxxxxxmm. Give prob of sequence xx.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 116*w - 245 + 9*w + 3*w**3 + 127 + 117 in the form o*w + k + s*w**3 + a*w**2 and give o.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 3*k - 3. Let d(v) = -8*v**2 + 7*v**2 + 1 + v + 2*v**2. Determine -6*d(i) - 2*f(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117249367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let v(a) = a. Let n(x) = 6*x**2 - 18*x. Let r(s) = n(s) + 18*v(s). Give r(c(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4 - 470*x**3 - 6316*x**2 - 28480*x - 42432 = 0?\nAnswer: -221, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 26 = 2*n, 0 = 4*o - 134*n + 138*n - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 + 3*a + 1. Let z = -5 - -3. Let r be b(z). Calculate the remainder when 12 is divided by 1*r + 0\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-16)\/z))\/z*z\/z**(-2)*((((z*z**(-4\/5)*z)\/z)\/z)\/z*z)**11 assuming z is positive.\nAnswer: z**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.222 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2198 - 2193. Solve -50 = -5*y + 5*u, -10 = 2*y - q*y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134240 (base 5) in base 8?\nAnswer: 51313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + x + 2 = 0, -2*b - 5*x + 4 = b. Let p = b + 9. Suppose -p*s + 3*v + 132 = 0, v - 88 = -s - 3*v. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 9. Let t = -58.467 + 58.967. Which is the second smallest value? (a) -2 (b) -4 (c) q (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1454499.88 take away 551566?\nAnswer: -2006065.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032262759 rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10830 and 1257135?\nAnswer: 47771130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-497)\/3*996\/(-2324).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2876319 to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 10*j**2 - 9*j + 42. List the prime factors of b(-11).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*a = -1095447 + 3844695. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 13898?\nAnswer: -1389.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34428631.511 and -2686.\nAnswer: 34425945.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5\/4 - 3*a**4\/2 + 51*a**3\/4 + 105*a**2\/2 + 69*a + 30 = 0. What is a?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acx when three letters picked without replacement from paccxxapxxxxxaxx.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 21. What is the remainder when i is divided by (7 + -2 - -2) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-16)))\/(c*c*c*(c*c\/(c\/c**(-2\/59)))\/c*c)*(c\/(c*c*c**(-5)))\/(c\/(c*c**(4\/15))) assuming c is positive.\nAnswer: c**(-14779\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 12:28 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*t - t + 684, -549 = 4*w - 5*t. Let i be (3\/4 - 1)\/(w\/544). Put 5, i, 54, -4 in ascending order.\nAnswer: -4, i, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 750810?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 0, -42, -122, -252?\n\"Answer: -2*r**3 - r**2 + r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = 3*c. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 10*s - 5. Let m be f(-11). Let g = m - -10. Let a = 28 + g. Calculate the remainder when 42 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228252654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-100))\/(2\/255*1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*p**3 - 2*h*p**2 - 65*h - 1813*p**3 + p**2 + 3*p + 1 wrt p?\nAnswer: -12*h*p - 4*h - 10878*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15) + 28\/(-33). Let m = 8\/77 - v. Factor -m*p**3 + 0*p**2 + 0 + 0*p + 2\/7*p**4.\nAnswer: 2*p**3*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 7:58 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2340853 - 2*o**3 + 2340765 - 7*o**3 as r*o**2 + s + u*o**3 + f*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -2*a - 5*y - 0*y, 0 = -3*a + 5*y + 317. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25722.20015 + 25723. Let s = x - 0.8. What is s rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 4*p + 8*p + 9*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsd when three letters picked without replacement from dsd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(120)\/sqrt(6)*3*2.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 - 5*j**2 - 5*j + 3. Calculate d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26242 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 5 + 3 + 5*c - 2. Let w(j) = 11. Let b(g) = g + 6. Let s(x) = 5*b(x) - 3*w(x). What is 4*m(f) - 5*s(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let m(c) = -6*c + 1. Let j = 540 - 531. Let o(y) = -y + 4 + 12 - 6. Let z be o(j). What is z*m(a) + 4*d(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-29988)\/(-40644)) - 23.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 455\/13*(3 - 19\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, 6*r - 64 = -4*h + r. Let u(o) = o**3 - o**2 - 5*o + 6. Let n be u(2). Solve -3*i - h = -5*p, 5*p + 3*i - 49 + 15 = n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let w be 12*2\/(-24)*-4. Suppose 0 = w*l + 26 - 110. What is the greatest common factor of l and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 8*j - 9. Let y be v(9). Let g = y + 18. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-9) - (-6)\/(-28)*(2762 - 2720)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 12*u + 10*u**3 - 11*u as l*u**3 + p*u**2 + g + z*u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by -869541.\nAnswer: -223\/869541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 3592 + 11691 + 3681 - 3593.\nAnswer: -v + 15371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.1354 - -3.4646. Is t greater than -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -425221342?\nAnswer: 425221340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27688, 57597, 87518, 117457, 147420, 177413?\n\"Answer: f**3 + 29902*f - 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**3 + 18*f**2*l**3 - 4*f*l + 3*f - 30906*l**3 wrt f?\nAnswer: 6*f**2 + 36*f*l**3 - 4*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - -21)\/(-3 + 1). Suppose 5 - 17 = -2*g. Let s = n + g. Solve -8 = -s*z + 2*t, 0 = -0*z + 5*z + 5*t - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q - 3*j + 13893, 0 = j + 5. Suppose 2*l - 3*l = -q. Let k = 6277 - l. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295794 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3799976?\nAnswer: 2, 17, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxooxxxoxoxxwwoxxoox. What is prob of sequence ww?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9675?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + ((sqrt(76) + 3*sqrt(76))\/sqrt(4) - sqrt(19)) - -3*(sqrt(57)\/sqrt(3) + 3)))**2.\nAnswer: 2112*sqrt(19) + 12880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 188028.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3555 - -15?\nAnswer: -3540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*n**2 + 2*d**3*r + 35*d**2*n*o*r - 6*d*n**2*o*r - 30*d*n*r + 76414*n**2*o + 65*r wrt n.\nAnswer: 2*d**3 - 12*d*o*r + 152828*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let o be b(2). Let t(f) = -2*f**2 + 2*f + 1. Let n be t(o). Let d(h) = h**3 + 4*h**2 + 2*h + 1. Is d(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -79*p**2. Let s(x) = 6*x. What is k(s(v))?\nAnswer: -2844*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -21.78\nAnswer: 21.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -226*m**4 - m - 1311 wrt m.\nAnswer: -904*m**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 - 2*d**2 + d. Let t be n(1). Let m be ((-265)\/(-10))\/(3\/6). Suppose -t*x + 3*x = m. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g\/(g**(-4)\/g))\/(g\/g**(-10)*g*g*(g*g**(-1\/5))\/g*g) assuming g is positive.\nAnswer: g**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 k when four letters picked without replacement from ccwckkk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16.5, -0.2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 1, g: 1, s: 1, e: 2, x: 1}. What is prob of picking 1 v and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10790.34 and -0.0229.\nAnswer: 10790.3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 1353*z - 1356*z - m, 0 = z - m + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 62.7?\nAnswer: -250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1317293 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 2*v**2 + 2*v - 3. Let y be c(3). Let b = 112 - y. Calculate the remainder when b is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 + 377. What is the remainder when 298 is divided by s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2039 = 6*x + 659. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 2\/95, -0.1, 1, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477 is divided by 1477.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 35. Suppose -2*x - 26 = -a. Calculate the greatest common factor of 104 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 - 512877*u**3 + 2*u**2 + 22377*u wrt u.\nAnswer: -24*u - 3077262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 149, 0, -3, -65, 2 in increasing order.\nAnswer: -65, -3, 0, 2, 7, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 + 0*a - 2*a**3 - 6*a + 4*a.\nAnswer: -5*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4. Suppose -c = -3*u + 93, f*c + c - 147 = -5*u. What is the units digit of 3798\/135 - 4\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*h - 44, 3*h - 16*q = -12*q + 60. Suppose v + b = -2*b + 6, 30 = 5*v - 2*b. Let k = 16 - v. Calculate the remainder when h is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhbh when four letters picked without replacement from hhhhhhhbhbhhhbbbbh?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -24. Let z be n\/4 + (-6 - 55\/(-10)). Let i be z*(5 + -3 + -1). Let j(m) = m**2 - 5. What is j(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + -1225744251833.\nAnswer: -1225744251833.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -29*k**3 - 3*k - 2. Let c be t(-1). Let q = 35 - c. Suppose -8*g - 3*a + 232 = -4*g, -3*a = q*g - 293. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 0 + 0 + (-28*n + 7*n - 3*n)*(1 - 4 + 2) + 3*n + 0*n - n - n + 0*n + 3*n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 21222?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0315034826 less than 1033?\nAnswer: 1032.9684965174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, w: 2, j: 4, l: 1, r: 1}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 77800.\nAnswer: 233400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 2. Let u be v(-6). Suppose r - u*m = -5 + 12, 3*r - 36 = -3*m. Let x = 21 - r. Calculate the remainder when 17 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2514*j**3 + 5 + 55 - 59 in the form v*j**2 + s + b*j**3 + w*j and give b.\nAnswer: -2514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7560*s + 4135*s + 13854*s + 33375*s.\nAnswer: 43804*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73158\/191 or -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t, 2*t = -4*g + t + 380. Suppose 6*h - 11*h + g = 0. Calculate the greatest common divisor of h and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -2*m - 1\/4*m**4 - 1 + 0*m**2 - 4\/3*m**3. Let l be r(-4). Let s(k) = k**3 + 2*k**2 - k. Determine s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 773 - 351. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 - -97. Let h = 38715714 - 38715746.999979. Let v = h - r. Round v to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -q + 106 + 105. What is the remainder when q is divided by 150?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**1)\/l*l**(-2\/7))\/(l\/(l*l**(1\/10))*l*l**(-6)*l)*((l**4*l)\/(l*((l\/l**13)\/l)\/l*l))**(-2\/27) assuming l is positive.\nAnswer: l**(4829\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327002993*p**4 + p + 264570393 wrt p.\nAnswer: -3924035916*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**3*t**3 - 44*b**3 - 70523*b**2*t**3 - 54 wrt t.\nAnswer: 3*b**3*t**2 - 211569*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89995 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t - 1. Suppose 4*s + 3*f - 1 = 0, 0 = 3*s - 5*s + 3*f + 5. Let b be r(s). Let y = 46 - b. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*o = -5193, 8*o = -4*t + 6*o + 20814. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -1\/10*c**4 + 5 + c**2 + 6\/5*c + 2\/15*c**3. Determine g, given that s(g) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4487 and 2011.11.\nAnswer: 6498.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 74.6701?\nAnswer: 74.1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - -53. Suppose 97*s - z*s + 924 = 0. Does 33 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 377, -24, 1.\nAnswer: -24, 1, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a**3 - 17*a**3 + 74*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661463 is divided by 224.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 10:35 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0403402 rounded to 4 decimal places?\nAnswer: 0.0403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**3 + 245*l - 103*l + 44*l**3 - 48*l.\nAnswer: 33*l**3 + 94*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14.5. Let v be (3\/(-2))\/(30\/8). Let u = -102 + 920\/9. Which is the nearest to -3? (a) v (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1071 and 19\/92277.\nAnswer: 10980963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*j**5 + 1245*j**4 + 205120360*j.\nAnswer: 1420*j**3 + 14940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*3*(-16)\/(-36). Let m(c) = -2*c**2 - 34*c - 62. Let u(q) = 3*q**2 + 69*q + 123. Let j(a) = d*u(a) + 5*m(a). Factor j(w).\nAnswer: -4*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and 41 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 0, 24874958 = -5*n + 3*s - 4765051. Round n to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16a88 (base 15) to base 9\nAnswer: -121432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 30 = 94. Suppose -4*s - 11 = -y. Solve 0*n**3 + 4*n - 3*n - 2*n + 2*n**3 - n**s = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-4 - -7) - 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 5*z - z + z + 0*z**2 as t*z + o + n*z**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306 - 310. Let g = -17 + 16. Which is the closest to g? (a) t (b) -5 (c) 1 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -779 + 779.3. Let k = -975\/8 + 122. Let y = 1492.8 + -1493. Which is the closest to k? (a) f (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**4\/3 - 56*f**3\/3 + 598*f**2\/3 + 6348*f = 0?\nAnswer: -23, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + 7*d**4\/8 - 14*d**3\/3 - 8*d**2. Let j be b(19). Let w = j - -23. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10074 and 7741869?\nAnswer: 5037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:38 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 186*t**4 + 36*t**3 - 36*t**2 - 66. Let f(r) = -r**4 - r**3 + r**2. Let q(o) = -36*f(o) - j(o). What is the derivative of q(a) wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 22*m**2 - 16*m + 72. Determine v(-21).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 + 1. Suppose 9*k = -p + 187. What is the highest common divisor of k and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41824628 divided by 2?\nAnswer: -20912314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 - 186. Let d(g) be the first derivative of 1\/4*g + 1\/8*g**2 - 1\/6*g**3 + u. Solve d(n) = 0 for n.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 19*i - 7. Determine p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 1:30 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133582864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*((4 + 1*sqrt(252))**2 - ((sqrt(252) + sqrt(252)*1)**2*1 + sqrt(252))).\nAnswer: -126*sqrt(7) + 2223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 3\/4*i**3 - 1\/2*i**2 + 0 - 1\/4*i**4.\nAnswer: -i**2*(i - 2)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(108) + -1 + -1 - -4*(sqrt(108) - 1*sqrt(108)) - (-5*(sqrt(108) + -2*sqrt(108)) + sqrt(108))*-5) + -1)**2.\nAnswer: -2976*sqrt(3) + 103852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4\/3, 0.08 in increasing order.\nAnswer: -2\/3, 0.08, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 44*q + 247. Give s(-22).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.74 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - (0 + -5)) + 1. Let g be (6 + 2)*3\/(-4). Calculate the remainder when (51\/g)\/(v\/4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63\/2 - 34. Let i = -96 + 103.1. Let w = 6.1 - i. What is the fourth biggest value in 5, w, a, 22?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 183.8286.\nAnswer: 184.8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 1396.\nAnswer: 15356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205693.\nAnswer: 53, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24468 + -24463. Let u = 31 + -463\/15. What is the fourth biggest value in u, -2, c, 1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2\/5*b**3 + 21\/5*b**4 + 0*b + 0*b**2 + 0 = 0.\nAnswer: -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -8*m**4 - 173*m**3 + 87*m**2 + 472*m + 220 = 0.\nAnswer: -22, -1, -5\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f + 31. Let h be (63\/12)\/(3\/4). List the prime factors of n(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/5, -0.2, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + -2) - (8 + -1 + 13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241530425?\nAnswer: 3, 5, 79, 69847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**(1\/8)*b)*b*b*b)*b)**50\/(b**(-2\/19)*b**(4\/7)))**(2\/23) assuming b is positive.\nAnswer: b**(-50123\/6118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(240\/(-68)) - (-104)\/(-78))*375\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, t: 3}. What is prob of picking 1 t and 3 u?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 368 - 353. Suppose 18 + 27 = y*u. Solve -2 = -3*z - 4*v + 5, 0 = -u*z + 3*v - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 16. Let l be (-27)\/5 + 10\/25. Let q = l + k. Solve -q*j - j - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 7*w + 44. Let l be g(0). What is the highest common factor of l and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251452.\nAnswer: 2, 37, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6118699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24252 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 850878.4 times -6?\nAnswer: -5105270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 258*a**2 + 215*a - 215. Let h(z) = z**2 + z - 1. Calculate -215*h(g) + n(g).\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1486914 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-14 - -12) - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.4 - -17. Let r = v - -0.442. Let j = 0.04347 - r. What is j rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/20 + 5*p**4\/3 + p**3\/3 + 6*p**2 + 14*p. Calculate the remainder when 205 is divided by f(20).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*m**3 - 2422*m**3 - 1665*m**3 + 1359*m**3.\nAnswer: -3778*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**4\/12 + 126*v. Let u(s) = 10*s**2. What is y(u(p))?\nAnswer: -100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 4:16 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.4, 0.5, 3\/433, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122256 by -36.\nAnswer: -3396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 23. Let a(t) = t**2 + 47*t + 292. Let y be a(-7). Give x(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21700 + -50?\nAnswer: 21660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/7 + 314*w**3\/7 + 1476*w**2 - 24192*w - 84672 = 0.\nAnswer: -84, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 37779 (c) 2 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4353514 + 2?\nAnswer: 4353520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 646338 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29282*z**3\/9 - 383086*z**2\/9 + 1422526*z\/9 - 1068722\/9.\nAnswer: 2*(z - 1)*(121*z - 731)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 40\/4 - (-10277)\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(4)*5)\/sqrt(12).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(11) - sqrt(44)\/sqrt(4)) - (sqrt(99) + -3)) + (1*sqrt(110))\/sqrt(10) + 3 + (sqrt(11) + -1)*-5*-3 + -5 + 4.\nAnswer: -10 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 2805 = 5*f + 7*o, 2*f + 5*o = 1115. What is the highest common factor of 860 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 312*k + 284. Let l be d(2). Which is smaller: 904 or l?\nAnswer: 904","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207427 (base 9) in base 13?\nAnswer: 4430b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 6. What is b(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508\/16 + (-3)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20694 is divided by 512?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26536751.\nAnswer: 149, 241, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3629634 is divided by 6516?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 64 = -4*o, 881*o = -3*j + 879*o - 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8624, -17419, -26388, -35525, -44824, -54279?\n\"Answer: k**3 - 93*k**2 - 8523*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by 5.\nAnswer: -378\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(304) - sqrt(95)\/sqrt(180))**2.\nAnswer: 10051\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let z = -11 - -12. Is z equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2290 and 2380 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2. Let x(a) = -8*a - 5. Let l(i) = -20*i - 12. Let q = 1 - 6. Let n = -61 + 73. Let z(d) = n*x(d) + q*l(d). Give k(z(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = -8. Suppose -28*p - 40 = -18*p. Let m be (p - 2)*2\/k. Solve -x + m*h = -6*x - 37, 4*h + 26 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -329 - -174. Let s = -86 - c. Let x = 70 - s. Put 2\/35, x, -1\/3, 0.1 in decreasing order.\nAnswer: x, 0.1, 2\/35, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmxxmxxxmmxxmxmxxx. What is prob of picking 2 m and 1 x?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 24599*g + 0 + 24597*g + 0.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 82812835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 6*w**2 + 7*w - 1. Let y be n(7). Let z be (-3)\/12*-2 - 9\/(-2). Which is the third biggest value? (a) y (b) 0.3 (c) 52 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 - 2.9. Let h = 8 + -4. Let w = h + b. What is the second smallest value in -0.1, w, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:41 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(147) + 1*sqrt(147) + 1 + -4 - (sqrt(147) + (sqrt(147)*-3 - sqrt(147))*-5 - (sqrt(147) - -3*sqrt(147))*5))*-5)**2.\nAnswer: -4200*sqrt(3) + 59025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*n - 17*n**3 + 220*n**3 - 38*n**3 - 869*n.\nAnswer: 165*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/90*-5*1. Put o, -9, 4 in decreasing order.\nAnswer: 4, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.99 - -625708\nAnswer: 625707.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.019 - -4.019. Sort 3, m, 0.\nAnswer: 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110001001101011 (base 2) in base 13?\nAnswer: -56187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -75437.464 rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:29 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.129 + 0.129. Let x = 545199.9029 - 545142.90290074. Let z = m + x. What is z rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204138\/18558 + (1 - -1 - (146\/13 - -1))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -215, -227, -239, -251, -263, -275?\n\"Answer: -12*p - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 876\/24*4\/(-72) and -55\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6 and 45\/2456.\nAnswer: 7368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -11. Let n be (-1 - v\/(-1))*-5. Let a = n + -20. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87538 is divided by 6250.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(-4)\/s)\/s))\/s)**45)**37*((s*(s*s**(5\/6)\/s*s)\/s)\/s**(-3))\/(s**(-2))**(-49) assuming s is positive.\nAnswer: s**(59381\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1795, 7208, 16231, 28870, 45131, 65020?\n\"Answer: l**3 + 1799*l**2 + 9*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.5 (b) -7376 (c) 4 (d) 63 (e) -5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.974579 rounded to zero dps?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*u + 43, 10*h - 10*h - u + 22 = 38 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a - 75. Let g be l(6). Let o = -112 - g. Let h(x) = x + 14. Determine h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*t - 117 - 44 = 0, 2*t = 2*a - 322. Suppose 3*q + 2*g = 3*g + a, q - 4*g = 72. What is the lowest common multiple of 2 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 4, -3*w + 0 = -k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*d = 125*d + 3. Suppose -20203 = -d*r + 4*l, -2*r - l = -1209 - 12256. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 82*d - 4500. Determine z(-17).\nAnswer: -2528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/120 - d**5\/30 + d**3\/6 - 4*d**2. Give t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5635.\nAnswer: -2\/5635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -423650 less than -423660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47579.24 rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 14*y**3 + 15*y**2 + 10*y**2 - 26*y**2 to the form m*y**3 + b + w*y**2 + t*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -406, -398, -388, -376, -362?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1))**(1\/42)\/((c\/c**0)\/c**7)*(c**(-1\/5)*c\/(c*c*c**(-7)\/c*c*c)*c)\/(c\/((c\/(c\/(c**(3\/7)*c))*c)\/c)*c*c**(-7)*c) assuming c is positive.\nAnswer: c**(603\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 + 0 + 3 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 98*o - 41810*o**2 - 92*o + 41808*o**2 + 190*o.\nAnswer: -2*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.386 - -6.386. Which is the third biggest value? (a) -4 (b) o (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8204 and 8207 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-9))\/((-2)\/(-3)). What is the greatest common divisor of 8 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 0.01 (c) 1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*r + 40 = 0, 4*y + 4 = 3*r + r. Let u be 6\/4*(-4 - y). Suppose -u*b = -3*q + 4950, -3*b - 4*q - 4950 = q. Round b to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/5917 + 16993\/2242543. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15501733*f**3*x**2 + 49*f**3*x + 42*f**3 - f**2*x**2 - 3*f**2*x - f**2 - 2*f*x - 7*f wrt x?\nAnswer: -31003466*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50284214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*12\/(-45). Let a(s) = s**2 + 12*s + 34. Let n = -210 - -205. Let u be a(n). Sort 4, -13\/3, p, u in decreasing order.\nAnswer: 4, p, u, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-90)\/80 + (-288)\/9984?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 27, 5 in decreasing order.\nAnswer: 27, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3924, 3111, 2302, 1497?\n\"Answer: 2*r**2 - 819*r + 4741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46513 * 7625\nAnswer: -354661625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289 and 28050051.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2)*(6*c + 37*c - 43*c - 29*c**2) - c**2 + 8*c**2 + 0*c**2 to the form f + i*c**2 + q*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -90349 smaller than -90349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - t - 1. Let c(s) = -60*s**2 - 2*s - 2. Determine -c(u) + 2*l(u).\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = 0, g - 6 = -g - 2*j. Let c(i) be the first derivative of -5 + 1\/3*i**6 + 1\/2*i**g + 0*i**2 + 0*i**3 + 0*i - 4\/5*i**5. Solve c(f) = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000131276173 rounded to 7 decimal places?\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9868 and 14.\nAnswer: 69076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 2)*(7 - 3 + 1)*(5*x - x - 3*x)*(-14*x + 0*x - 9*x)*(4 - 32 - 3) to y*x + s*x**2 + c and give s.\nAnswer: 10695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 99*g + 3. Suppose 0*w + 28 = 4*w. Let q be r(w). Is (-3)\/9 + q\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(4\/10 + 864\/(-360)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**13\/(c*c\/c**(2\/13))*(c\/(c*c**8))**(-49))**7 assuming c is positive.\nAnswer: c**(36687\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 628+545\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times -84.48?\nAnswer: -2534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 971 + -976. Sort -0.2, y, 2\/3, 36 in increasing order.\nAnswer: y, -0.2, 2\/3, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 9*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5718, -168, 5, -3 in increasing order.\nAnswer: -168, -3, 5, 5718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-16))\/((-25)\/(-250)) - (-12)\/9. Let v(z) be the third derivative of 1\/24*z**4 + 0 + 12*z**2 + h*z**5 + 0*z + 7\/6*z**3 - 1\/120*z**6. Calculate v(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(3\/2))\/(b**2*b*b*b*b))\/(b*b**6*b*b*((b*b*b**(-7)*b)\/b)\/b*b*b))\/((b**(2\/7)*b)**(-1\/25))**23 assuming b is positive.\nAnswer: b**(-2561\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12636 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (4\/1 - (7 - 8)). Solve 12*u - l = 16*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 + 55*r**2 + 95*r + 45 = 0 for r.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4131472?\nAnswer: 2, 149, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -42. Find the third derivative of -26*a**4 - 11*a**2 + a**b - 19*a**2 wrt a.\nAnswer: -624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3 + 1\/6*b**2 - 3\/2*b.\nAnswer: (b - 7)*(b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1587*l**5 - 1138*l**3 - 11708677*l**2 - 3 wrt l.\nAnswer: 95220*l**2 - 6828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 27948465.\nAnswer: 279484650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3*m**5\/20 - 6*m**2 + 3*m + 5. Let p(w) be the first derivative of v(w). Find the first derivative of p(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 328?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, -6, -36, -82, -144, -222?\n\"Answer: -8*o**2 + 10*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**4 - 39*p**3 - 3*p**2 + 131*p - 233427 wrt p?\nAnswer: 8*p**3 - 117*p**2 - 6*p + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25690.16l?\nAnswer: 25690160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*q = -2*q + 273, 5*q - 249 = -3*h. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/((-6)\/132*-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-546 + 546 - 34*l)*(3 - 1 - 3) + 2 - 2 - 3*l in the form x*l + w and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)*f*f**3*f**(-1)*f**(-1\/8)\/f)**(2\/9))**(-34) assuming f is positive.\nAnswer: f**(697\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51555 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -12*r**2 - 21*r + 5. Give k(3).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3474.56 - 3596. Let u = i + 121. Let m = u - -0.12. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10371.6 less than 0.04?\nAnswer: 10371.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6\/17))**(-47)*((a**(4\/7)*a)\/a)\/(a*a*a**(-31)*a))**(-10) assuming a is positive.\nAnswer: a**(2190\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 135501, 1083956, 3658307, 8671494, 16936457, 29266136, 46473471, 69371402?\n\"Answer: 135490*w**3 + 8*w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 910 and 870830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/48 - d**5\/5 + 9*d**4\/16 - 2*d**3\/3 + 5*d**2\/16 + 114. Factor q(r).\nAnswer: r*(r - 5)*(r - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(396) + -2 + 1 + sqrt(396) + sqrt(396) + 5*(sqrt(396) - (3 + 1 + sqrt(396))))*1)**2*-5.\nAnswer: -19625 + 3420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + p = 4*p - 1, p - 6 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/799 - -795\/3196. Sort 724, 2, x.\nAnswer: x, 2, 724","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95828 = -2*o + 3*d, -4*o + 50706 + 140980 = -d. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 + 620*l**2\/7 - 618*l\/7.\nAnswer: -2*l*(l - 309)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((-6)\/(-3) - 1). Suppose a = 4 - r. Suppose -a*g + 4*m + 36 = 0, -g + 4 - 2 = 2*m. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1040.7614 to the nearest ten.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d**2 - 2*d**2 + 2 - 2. Let b(c) = c**2. Give f(b(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*f - 64, -3*f + 0*f = 4*z - 117. What is the remainder when 112 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1702, -7152, -16240, -28966, -45330, -65332, -88972?\nAnswer: -116250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 + 6. Let k(f) = -f**3 - 14*f**2 + 10. Let d(l) = 3*k(l) - 5*z(l). Give d(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y. Let z(j) = j. Let r(c) = -a(c) + z(c). Let s(t) = 18 + 15 + 9 + 2*t - 42. Determine r(s(l)).\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -132*t**2 - 4*t - 15. Let d(v) = 3*v**2 - 1. Let a(s) = 5*d(s) + p(s). Find the second derivative of a(j) wrt j.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21638781 to the nearest integer?\nAnswer: 4652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(-2\/21))\/(s**(-26)*s*s*s**(-8)) assuming s is positive.\nAnswer: s**(775\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13653 - -5?\nAnswer: -13645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -52. Let h be 4*(1\/(16\/60))\/(-3). Sort 4, v, h in descending order.\nAnswer: 4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 6) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160865597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*y - w, 2*y - w + 14 = -0*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h**2 - 10*h - 8. Let a = -439 + 433. Determine d(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*f - 2*f**4 - 51*f + 1 + 4*f**2 - f**3 + 4*f**4 - 4*f**4 as j + g*f**4 + q*f + u*f**2 + d*f**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5312, -21567, -48770, -86921?\n\"Answer: -5474*p**2 + 167*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30754*u + 30898*u - 1728 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a**3 - a**2 - a + 1. Suppose -4*d = 4, 4*f = -0*f - 4*d. Let l be v(f). Solve l = -o - 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3528 is divided by 1171?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 2*w - 2*w)*(-3 + 2 + 2) + (19 - 6 - 9)*(-5*w + 2*w - 3*w) as i*w + b and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000094194626 to seven dps.\nAnswer: -0.0000942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 - 332*a**2 + 315.\nAnswer: -332*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 300 = 4*w - 3*r, 0 = r + 5. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22512 and 12659784.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 2\/11 (c) 1\/3 (d) 0 (e) -0.15 (f) 32 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*p - 38 = 0, -4*p = -4*o - 23 + 115. Let z = o - 22. Suppose -3*v + 3 = -c + 13, -3*v = -z*c + 85. What is the remainder when c is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*y**2 + 5*y**3 - 50*y**2 - 6*y**3 - 6 + 4.\nAnswer: -y**3 - 98*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 317 in 0.0916, -3, -3\/10?\nAnswer: 0.0916","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from lhrrrrrrrreer?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103, 102, 99, 94, 87, 78, 67?\n\"Answer: -h**2 + 2*h + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2070162 (base 8) to base 2.\nAnswer: -10000111000001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 divided by -50?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 (base 16) in base 13?\nAnswer: 3a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*z + 1 = 25, -4*v = -z - 52. Suppose -11 = 3*f - 14. Suppose f = l, -4*j + 54 = 3*l - 21. Calculate the smallest common multiple of j and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*u + 215*u = -12 - 20 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 106 = -62 + 84 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c - 124. Determine u(22).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 16 + 12\/(-66)*-11. Let a(x) = -x**3 - 4*x**2 + 5*x + 2. Let j be a(-5). Calculate the greatest common divisor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) 62 (c) -0.06 (d) 0.4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 2. Let l(s) = 7*s**2 + 14*s - 67. Let i(n) = -l(n) - 4*q(n). What is the tens digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 4819.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x + 25 = -5*s, -5*s + 4*x = -20. Suppose 3*d - 4*p = -s*d + 26, -4*d + 5*p + 34 = 0. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -30*n + 946. What is the thousands digit of q(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2. Let x(s) = 1131*s**2 + 6*s + 18. Let v(r) = 1131*r**2 + 8*r + 24. Let p(b) = -3*v(b) + 4*x(b). Give j(p(o)).\nAnswer: -2558322*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 11*g**2 - 3*g + 13. Let u be h(-11). What is the units digit of (u\/6)\/(1\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 7*c + 2, -103 = 4*k - 4*c - 79 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -56.1. Let f = -1.1 - m. Let t be -8 - ((-1488)\/120 + 10\/2). What is the second biggest value in 32, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-7 - -16)) + 3. Let u(v) = -3*v + 9*v - 1 + 4*v**2 - 3. Calculate the lowest common multiple of u(i) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + 0*r)*(19 - 9 + 3*r - 4*r**2 - 8).\nAnswer: 20*r**3 - 15*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 9*j**2 + 25*j**2 - 11*j**2.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 3*k**8\/112 + k**7\/7 + 17*k**6\/60 + k**5\/5 - k**4\/8 - k**3\/3 + k**2. What is r in n(r) = 0?\nAnswer: -1, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-20 - (-9 - 1)) - 24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a - 7. Let l(s) = 3*s + 2. Let z = 3103 - 3120. What is z*l(r) - 6*n(r)?\nAnswer: -3*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3484*c*r**4 - 106*c*r**3 - 9*c*r**2 + 2946*c*r + 2*c - 2*r**2 + 1 wrt r?\nAnswer: 83616*c*r - 636*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:37 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 1. Let j = 0.1 - 1.1. Let l = 2 + j. Sort 0.5, l, u in decreasing order.\nAnswer: l, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {l: 2, i: 1, n: 1, g: 1, z: 1, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/52 + 21\/26. What is the closest to 3 in 3\/8, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3230 and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 - 575*x**3 + 3315*x**2 - 4925*x + 2180 = 0. Calculate x.\nAnswer: 1, 4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1321312300 (base 4) to base 8\nAnswer: 1716660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1027*z**4 + 1024*z**4 - 862*z**3 - 40*z**2 + 861*z**3 - 2 as n*z**4 + d + k*z**3 + s*z**2 + b*z and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 10\/6363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**3\/3 - 5*o**2 - 7*o - 6. Let a be d(-9). Sort 5, a, -2 in decreasing order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4481?\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v - 2*v)*(1 - 3 + 0)*(-3*v + 1 - 1).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 63 = -2*f. Solve 4*c - 17 - 19 = 4*s, -5*c = s - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*o + 1 - 181*o + 32*o - 49*o**2)*(0 + 0 - o**3).\nAnswer: 49*o**5 - 10*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - -4?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 74. Let y be n(-25). What are the prime factors of 6\/4*(y + (439 - 4))?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*z**3 - 35*z**3 + 9*z**3 - 2*z + 24 - 15*z**3 - 86*z**3 wrt z.\nAnswer: -510*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21478586 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -17. What are the prime factors of 4 + (0 - (2 + w))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 + 534 + 4287*c + 8572*c.\nAnswer: 12859*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.022 - 66.\nAnswer: -66.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 >= 238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 + 566 = -49*w - 732 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 22. Let s be a(-8). Let z = s + -36. Solve c = -z*y + 5*c - 4, -4*y = -c - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20343 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1083 divide 140961637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v - 2*v = -11960. What is the remainder when v is divided by 81?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -385 - -381. Let d = 1\/209 + -9837\/2926. What is the common denominator of (-126)\/16*y\/3 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -442, 16, 4, -685 in descending order.\nAnswer: 16, 4, -442, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3292, -6605, -9948, -13321, -16724?\n\"Answer: -15*g**2 - 3268*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 40779870 to the nearest ten thousand.\nAnswer: 40780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11404757 (base 9) to base 10\nAnswer: 5554141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(4 + (-12 - -4)). Solve 3*b = -p*y + 11, -4*y + 0*y + 4 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-300)\/40*11\/((-110)\/(-12))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164012?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 889 and 23499.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1401 and 167357389?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.051 - -0.149. Sort 3, 0.4, i in increasing order.\nAnswer: i, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2 + n - 1. Let g(y) = 4*y**3 - y**2 - 5*y + 6. Calculate g(z) + 5*j(z).\nAnswer: -z**3 + 4*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -33 - (-13 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14643913?\nAnswer: 107, 136859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -935.99998437 + 936. What is u rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/15)\/(z\/(z*z*z**(-27)*z)))\/(z**(9\/5)*z**16) assuming z is positive.\nAnswer: z**(-646\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-168) - 464\/(-2436))*(-56 + -2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 0. Let l(c) be the third derivative of 0 + 0*c + 4*c**2 + 0*c**3 - 1\/60*c**5 + 1\/8*c**4. Let w(j) = -4*j**2 + 11*j. Determine u*w(m) - 22*l(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8334751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**3 + 1684*d**2 + 396484*d - 398164 = 0.\nAnswer: -169, 1, 589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c - 49. Calculate i(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5 - 292*b**4 + 1060*b**3 + 20900*b**2 - 29000*b - 340000 = 0. Calculate b.\nAnswer: -5, 5, 10, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**6\/6 - l**4\/4 + 2*l. What is the third derivative of h(u) wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*t - 4*l - 3 = 86*t, -2*t = 2*l. Put 245, -3, -4, t in increasing order.\nAnswer: -4, -3, t, 245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meex when four letters picked without replacement from bavmeeammebbmmx.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2149.103 decades to years.\nAnswer: 21491.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = n + 3*f, 3*n + f - 145 = -136 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 2 = 23*p. Let z(i) = -i**3 - 4*i**2 - 5*i. Let k be z(p). Solve j + 6 = -k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l - 3. Let m(v) = 4 - 1 + 2 - v - 4 + 2*v. Determine -5*m(i) - x(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1702 or -1703?\nAnswer: -1703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 130, 509, 1266, 2527, 4418, 7065, 10594?\nAnswer: 15131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcaccaaaaac. What is prob of sequence cj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 14*p - 2. Let h(b) = 14. Let k(q) = 17. Let r(o) = 6*h(o) - 5*k(o). Let f(n) = a(n) - 2*r(n). Let c(z) = -2*z. Calculate c(f(d)).\nAnswer: 6*d**2 - 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 244*n = 74*n + 77*n + 308 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 8*a**2 - 42*a - 290. Give o(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7257 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -294341.89 rounded to the nearest one hundred?\nAnswer: -294300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 777.999999689 + -778. Round n to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -262*l**4 - 180.\nAnswer: -1048*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 0.27 in decreasing order.\nAnswer: 8, 0.27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11100001111001111?\nAnswer: -11100001111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1368 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*l**3\/2 - 167*l**2\/2 - 43*l + 36.\nAnswer: -(l + 1)*(l + 18)*(9*l - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4710 or 4810?\nAnswer: 4710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 1470, 2239, 3006, 3771?\nAnswer: 4534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 245353436?\nAnswer: 245353450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (222\/12 - 14)*(-4)\/(-6). Sort -4, u, -22 in descending order.\nAnswer: u, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -18 - -15 - (-1 + -4)*5. Suppose -6*s + 2*s + b = -f, s - 2*f = 9. Suppose 145 = s*k - 185. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-12 - -3) + 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 11 - 31 = -19*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129 or -646\/5?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440 + -449. Let z(i) = -i**2 - 10*i - 12. Determine z(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.3. Let s = -22.16 + 22.36. Let z = -53 - -211\/4. What is the nearest to k in 2, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125430896 or -0.1?\nAnswer: 125430896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-12)*12\/40. Let d = 7.4 - 7.7. Which is the closest to -1? (a) 0 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 188.1 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42890 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 4)*(2 + j - 2) + (-2*j + j + 2*j)*(4 + 1 - 3))*(-16 + 4*j**2 + 16) to m*j**2 + a*j + i + s*j**3 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -477*c**2. Let n(q) = 19*q + 4 - 44*q - 4 + 24*q. Calculate m(n(x)).\nAnswer: -477*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-540)*235 + 0 + -5. Which is the nearest to f? (a) -0.1 (b) -0.4 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j - 15. Let m = -2 - j. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w. Let f be 2 + (-1 - w) - -1. Suppose 5*r - 21 = f*r. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 divided by -4?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + y = -6, 4*v + 3*y - 40 = -48 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4436 - 44297\/10. Find the common denominator of -69\/2 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6 - 59\/(1593\/(-90))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j + 24*j - 11*j - 5*j - 9*j. Let s(x) = -4*x**2. Determine c(s(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100000200 (base 3) to base 14.\nAnswer: -97dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3134 (base 8) to base 16.\nAnswer: 65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41 and -41.4486133.\nAnswer: -82.4486133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 89*u**2 - 437*u**2 + 1.\nAnswer: -526*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 16. Suppose 0 = -8*g + 4*g. Suppose -4*y + l = 4*t - g*t, -2*y + 4*t = 4. Which is greater: -7\/6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7872.139 micrometers?\nAnswer: 7.872139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4\/3 - 968*u**3 - 31412*u**2\/3 + 11440*u = 0. Calculate u.\nAnswer: -715, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-15 + 12 + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 20 = -4*n - 3*x, -4*n - 72071*x - 2 = -72076*x + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159282 to the power of 1\/2, to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 34.14931 years?\nAnswer: 0.03414931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 4. Let y = 5 - q. Suppose -4*r = -5*x - 36, 3*r - 9 = 3*x + 15. Solve 0 = -0*s + r*s - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:38 AM?\nAnswer: 189","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Put 564, -5.1, 0.7, 0, -4\/7, 1\/2 in decreasing order.\nAnswer: 564, 0.7, 1\/2, 0, -4\/7, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 11*w**2 + 127*w - 116. What is b(-19)?\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(3666\/3384)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 f, and 1 g when four letters picked without replacement from gffgxgagoofoo.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(1*((-126)\/12)\/7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2713425 (base 8) to base 10.\nAnswer: 759573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36931 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 11*i**2 - i + 15. Let w be f(11). Let u(z) = -3 + 12*z - z**2 - w*z - z + 11. What is u(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 36*n**2 + 31*n**2 - 3*n - 66*n**2 + 1 + 2 - 2. Calculate m(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l. Suppose -5*x + o - 15 = 6*o, -o - 13 = -4*x. Let c(p) be the first derivative of 0*p - 2\/3*p**3 + 2 + 0*p**x. Calculate c(w(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 + 21 = 5*k, 0 = h + 4*k - 22. Suppose h = -b + r - 5*r, -r + 1 = 3*b. Solve -j = -3*j + 6, j - 13 = -b*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 3*a**2 + 7*a + 6. Let n be 27\/54*(-15 + 1). Let i be b(n). Let x = 398 + i. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.475, 0.3, -0.5.\nAnswer: -0.5, -0.475, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -522 + 462. Suppose 0 = -13*r + n*r + 6*r. Which is the closest to r? (a) 102 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27615074 + 2?\nAnswer: -27615072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-97)\/(-2) - 4) + 2\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/9 + (-535)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 565764 and 96?\nAnswer: 12","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 {j: 4, s: 5, x: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 4*k**2 - 3*k + 1. Let c be u(2). Solve 3*d + 0*d = 5*n + 4, 2*d - c = 3*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3\/3 + 40*y**2\/3 - 4*y\/3 - 40\/3 = 0 for y.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 3, d: 3}. What is prob of sequence db?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -4\/29, 1, 0 in increasing order.\nAnswer: -1\/2, -4\/29, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.8, 4, -2 in increasing order.\nAnswer: -2, -0.8, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*190\/15. Round k to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*v + 3*v**2 - 5*v + v**2 - 2*v**2 to the form u + s*v**2 + m*v and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-1)\/((-2 - 45\/(-23))\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) - (-4)\/6. Suppose -2*h - 15 = -5*h. Suppose -29 = -h*t - 4. Solve 3*j - t = -b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -218 and -0.031?\nAnswer: 6.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*u - 98. What is the greatest common divisor of 732 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:18 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 k when four letters picked without replacement from kkkddkdkdk.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 210 = 13*u. Calculate the highest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 154158 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k + 1. Let z(w) = -18*w - 1. Give 7*x(u) + 4*z(u).\nAnswer: -9*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:25 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284525 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75)*2)\/sqrt(3) - sqrt(25))*-1)\/((sqrt(500) - (sqrt(500) + (sqrt(500)*-2 + sqrt(500) - sqrt(500))*-6)) + sqrt(500) + sqrt(500)).\nAnswer: sqrt(5)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13414 is divided by 3233.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*u**3 - 3 - 5*u - 11*u**3 - 22*u**3 in the form i*u + t*u**3 + f*u**2 + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i. Suppose -3*v - 17 = -4*r - 4*v, 2*v = -2*r + 10. Let d(x) = 16*x - 4. Let h(j) = 16*j - 5. Let y(s) = r*h(s) - 5*d(s). What is y(u(w))?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143103 (base 5) to base 15.\nAnswer: -1bbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.034765 or 2?\nAnswer: 0.034765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-36))\/(6\/60*-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - 14*f**2 - 8. Let v(h) = -h**3 - 2*h**2 - 1. Let a(l) = g(l) - 3*v(l). Let w = -9 + 1. Determine a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmltlmstttmtttttv. What is prob of picking 1 v and 1 m?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 33*w**2 - 25434*w + 839362. Calculate u(33).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*7*(-1)\/5. Let n(u) = u**2 - 8*u + 9. Let i be n(w). Let v = i + 0. Solve 0 = -3*z + v*q - 5*q + 6, 3*z = 5*q - 34 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 298118\/33336 - (0 - -1). Let q = -3\/1852 - p. Let n = -2791\/12 + 220. Find the common denominator of n and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5*v**2 + 167790*k**5 + 914*k*v + 4067*v**2 wrt k?\nAnswer: 20*k**3*v**2 + 3355800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 970 divide 532250206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46603359 divided by -14559?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4516731 or -22583658\/5?\nAnswer: -4516731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11.157930605289+-0.4\nAnswer: -11.557930605289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 - 210862*z - 421716.\nAnswer: -2*(z + 2)*(z + 105429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 49537446?\nAnswer: 49537446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 16. Let f(s) = -1. Suppose k + 32 - 46 = -3*a, 10 = 2*a + k. Calculate a*f(o) - b(o).\nAnswer: -2*o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 - (-5 - (7 + 4 + 12))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -5467a?\nAnswer: 54679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750060574.9 rounded to the nearest 10000?\nAnswer: -1750060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/243035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -29 + (-4 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -37*d + 22*d**2 + 2 - 19*d**2 - 2. List the prime factors of n(13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1497 and 308500263.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 5 = -9*y. Let g(u) = 3*u**3 + 6*u**2 - 4. Let c(p) = -4*p**3 - 7*p**2 + 5. Calculate y*g(o) - 4*c(o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 14\/891 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -422 + 438 - (-15 + (2 - 8))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 107260*x\/7 + 107262\/7.\nAnswer: -2*(x - 53631)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-468)\/(-1215)))\/(-10*((-568)\/192 + 3))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 186*k - 5. What is p(-186)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 889767525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 3)*(-5*b + 55 - 55) + b - 4*b + b as c*b + r and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78862)\/87115 - (-2)\/19?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 99632.2 milligrams?\nAnswer: 0.0996322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6206128 divided by -1?\nAnswer: -6206128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-30258)*117\/(-26).\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 82992.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*q + 43 - 4, -3*o = q - 15. Suppose 0 = -o*u + u + 60. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*n**5 + 1021*n**4 - 4*n**3 - 34175*n**2 + 43*n?\nAnswer: -2280*n**2 + 24504*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 39 = 321. Let x = 141\/2 + b. Let g = 655.8 + -656. What is the nearest to 1\/2 in g, x, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49\/3 in 0.3, -10, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412071*t**2 + 412051*t**2 - 824116*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 47*v - 42*v. Let i be 298 + v + -4 + 3. Suppose 2*u - 3*u = -2*z + i, 443 = 3*z - 2*u. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15 + 3\/9*3. Calculate the smallest common multiple of 3 and 2156\/35 - w\/10.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3074707 is divided by 373?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3196, 3214, 3244, 3286?\nAnswer: 3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*c**5 + 105*c**4 - 5795*c**2.\nAnswer: -1080*c**2 + 2520*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 20945.38 centuries?\nAnswer: 2094538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-6))\/((-4)\/(-12)). Suppose -5*o = -2*o + r*v - 81000, 0 = 4*o + 2*v - 108000. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 546794*x\/3 - 364532\/3.\nAnswer: 2*(x - 91133)*(3*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32c + -8f?\nAnswer: -3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -85) + (68 - 138)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5270.58 * 5\nAnswer: -26352.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c - 35*c**4 + 31*c**4)*(3 - 3 - 1).\nAnswer: 4*c**4 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -4 (c) -0.4 (d) -5 (e) 1095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 + 6*r - 2. Let m be 2*((-25)\/15)\/((-4)\/(-6)). Let b(i) be the first derivative of i - 1. Let c(l) = m*b(l) - d(l). What is s in c(s) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527768 divided by 212.\nAnswer: -131942\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.01 - 1. Let g = d - -1.99. Let t be ((-8)\/21)\/(6\/9). Which is the smallest value? (a) -1 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 515592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 2.27707?\nAnswer: -8.27707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0 - 2 + 1)*(1 - 6 + 3)*(-9 - 14 - 6)*(6*g + g - 3*g).\nAnswer: -464*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -194. Let d = i - -96.00076. Round d to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60421 and 15318.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 370193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/2)*(d\/d**29)\/d*((d\/(d*d**0))\/d)**2 assuming d is positive.\nAnswer: d**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012197676 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = -87 + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 29*o + 73. What is c(32)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) -5 (c) 31 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a + 29. Let z(m) = -m + 6. Let r(h) = -2*o(h) + 11*z(h). Suppose 5*b + 5 = 3*b - 5*p, -5 = 3*b + 5*p. What is r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 444*b + 2473. Let c be o(-5). Calculate the greatest common divisor of 154 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7530?\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3065 - 617*i + 1244 + 1229 wrt i?\nAnswer: -617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a3 + 4426?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1302305 (base 6) to base 11\nAnswer: 48a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 - 48*s - 15. Let a be b(-7). Put -1, 4, 0, a in increasing order.\nAnswer: -1, 0, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54262170.\nAnswer: 2, 3, 5, 200971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {z: 2, k: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7658?\nAnswer: 2, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127094 smaller than 127092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {q: 7, s: 6, c: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q. Let x(t) = 16 + 33 - 82 + 40 + 250*t. What is v(x(d))?\nAnswer: 500*d + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/17)*k)\/k)\/k*k)\/k**(-8\/5)*(k\/(k\/(k*((k**(-5)*k)\/k)\/k)*k))\/(k*k**(-25)) assuming k is positive.\nAnswer: k**(1661\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (470\/(-4))\/(3\/6). Let y be 2\/(-3) - s\/15. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -4 + (-7 - -12) + -5 + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3 - 0. Let u be n\/((-7)\/2 + 3). Let f = 15 + u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 78 - 4 + 50*l**3 + 285*l**3 - 11 wrt l.\nAnswer: 1005*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7593, -1093.\nAnswer: -7593, -1093, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5210649*p**4 - 12*p**2 - 34149 wrt p.\nAnswer: -125055576*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -733 divided by -1175657\nAnswer: 733\/1175657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.4, 0.4, -2, -2\/47 in descending order.\nAnswer: 0.4, 1\/4, -2\/47, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 4*n - 18. What is the tens digit of (2 - n\/(-4)) + 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = 5*z + 2*o, 0 = -15*z + 23*o - 18*o + 52 + 363 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/7)\/(v*(v*v\/(v*v**(-3)))\/v)*v\/(v**(1\/5)\/v*v)*v**(2\/7)*(v*v**(-3)\/v*v*(v\/(v\/v**(-3))*v)\/v*v)\/(v**(-1\/2)\/v)**(-43) assuming v is positive.\nAnswer: v**(-5029\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -85 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -365.3268475181 and 0.3.\nAnswer: -365.0268475181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29561213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 296066 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(825) + sqrt(33)))\/(sqrt(1584)*5).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19162 and 1942941?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3961 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i + 27 - 27. Is i <= 697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1021*h**4 + 4048*h**3 - 44672*h**2 - 168.\nAnswer: -24504*h + 24288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 195423.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 84*x + 11. What is p(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbaab. Give prob of sequence baa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggghpggppgpgpg. Give prob of picking 2 h.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 39 = -28*o. Sort -0.6, o, 5, -4\/5.\nAnswer: o, -4\/5, -0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 1 + 1 + (0 - 6 - 3)*(-2*f + 6*f - f) + (0 - 2 + 1)*(-7*f + 4*f + 4*f).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1089\/19832 - 3\/296. Let m be (27\/15)\/(87\/(-45) + 2). Suppose -m*i = -30*i. Are i and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79371893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 18*k**3 + 105*k**2 - 144*k + 60.\nAnswer: -3*(k - 2)*(k - 1)**2*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300, 5, 1120, -6 in descending order.\nAnswer: 1120, 5, -6, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 4*j + 4*q + 28 = 0, -q = -5*j + 37. Suppose -j*y + 12262 = 590. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**10\/15120 + u**6\/180 + u**4\/4 + 4*u. Let s(y) be the third derivative of c(y). Find the second derivative of s(p) wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - g + (0 + 0 + 6)*(4*g - 4*g - g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4012*w**3 + 884*w**2 + 1326*w + 442. Let i(l) = -2*l**3 + 2*l**2 + 3*l + 1. What is -884*i(v) + 2*t(v)?\nAnswer: -6256*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3879, -3624, -3367, -3108, -2847, -2584?\n\"Answer: w**2 + 252*w - 4132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-3094)*-17*21*4\/(-4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1057880565 divided by 50375265.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10160 and 20?\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 11*g**2 - 8*g + 20. Determine a(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}